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Metal Coordination Enhances Chalcogen Bonds: CSD Survey and Theoretical Calculations - MDPI
International Journal of
               Molecular Sciences

Review
Metal Coordination Enhances Chalcogen Bonds: CSD Survey
and Theoretical Calculations
Antonio Frontera *               and Antonio Bauza *

                                          Departament de Química, Universitat de les Illes Balears, Crta. de Valldemossa km 7.5,
                                          07122 Palma de Mllorca, Baleares, Spain
                                          * Correspondence: toni.frontera@uib.es (A.F.); antonio.bauza@uib.es (A.B.)

                                          Abstract: In this study the ability of metal coordinated Chalcogen (Ch) atoms to undergo Chalcogen
                                          bonding (ChB) interactions has been evaluated at the PBE0-D3/def2-TZVP level of theory. An initial
                                          CSD (Cambridge Structural Database) inspection revealed the presence of square planar Pd/Pt
                                          coordination complexes where divalent Ch atoms (Se/Te) were used as ligands. Interestingly, the
                                          coordination to the metal center enhanced the σ-hole donor ability of the Ch atom, which participates
                                          in ChBs with neighboring units present in the X-ray crystal structure, therefore dictating the solid state
                                          architecture. The X-ray analyses were complemented with a computational study (PBE0-D3/def2-
                                          TZVP level of theory), which shed light into the strength and directionality of the ChBs studied herein.
                                          Owing to the new possibilities that metal coordination offers to enhance or modulate the σ-hole
                                          donor ability of Chs, we believe that the findings presented herein are of remarkable importance for
                                          supramolecular chemists as well as for those scientists working in the field of solid state chemistry.

                                          Keywords: σ-hole interactions; chalcogen bonding; supramolecular chemistry; DFT study;
                                          metal coordination
         
         
Citation: Frontera, A.; Bauza, A.
Metal Coordination Enhances               1. Introduction
Chalcogen Bonds: CSD Survey and
                                                Since the beginning of the 21st century, the ability of elements from Groups 13–18
Theoretical Calculations. Int. J. Mol.
Sci. 2022, 23, 4188. https://doi.org/
                                          covalently bound to electron withdrawing groups (EWG) to favorably interact with Lewis
10.3390/ijms23084188
                                          bases (e.g., lone pair donors, π-systems and anions) has been subject of extensive investi-
                                          gation [1–13]. It all began with the standardization of the electropositive site to describe
Academic Editor: Luísa Margarida          the main features of the hydrogen bonding (HB) interaction and from there, it became
Martins
                                          common to name the noncovalent interactions (NCIs) between nucleophile and electrophile
Received: 21 February 2022                sites (known as σ-holes) by using the name of the group to which the electrophilic atom
Accepted: 7 April 2022                    belongs [14,15]. In this context, the International Union of Pure and Applied Chemistry
Published: 10 April 2022                  (IUPAC) have already recommended the terms halogen bond (HaB) [16] and chalcogen
                                          bond (ChB) [17] for naming the NCIs encompassing atoms from groups 17 and 18, respec-
Publisher’s Note: MDPI stays neutral
                                          tively. Furthermore, a specific name is given to each group, being aerogen or noble gas
with regard to jurisdictional claims in
                                          bonding (NgB, group 18) [12], pnictogen bonding (PnB, group 15), [18,19] tetrel bonding
published maps and institutional affil-
iations.
                                          (TtB, group 14) [20], and triel bonding (TrB, group 13) [7]. Furthermore, elements from
                                          groups 7, 8, 11 and 12 acting as Lewis acids have recently received the names of matere
                                          bonding (MaB, group 7) [21], osme bonding (OmB, group 8) [22], spodium bonding (SpB,
                                          group 12) [23] and regium or coinage bonding (CiB, group 11) [24–27].
Copyright: © 2022 by the authors.               The use of σ-holes as an alternative to HB interactions has been reported in many
Licensee MDPI, Basel, Switzerland.        studies belonging to a broad spectrum of fields, such as host-guest chemistry, catalysis,
This article is an open access article    supramolecular chemistry, membrane transport, crystal engineering, etc. [28–45]. In addi-
distributed under the terms and           tion, comparisons have been made to unveil similarities and differences between σ-hole
conditions of the Creative Commons        interactions and the HB in both energetic and geometric characteristics [46–51].
Attribution (CC BY) license (https://           Nowadays a remarkable progress has been achieved regarding the supramolecular
creativecommons.org/licenses/by/          chemistry of chalcogen bonding, particularly in regulating and fine tuning novel chemical
4.0/).

Int. J. Mol. Sci. 2022, 23, 4188. https://doi.org/10.3390/ijms23084188                                            https://www.mdpi.com/journal/ijms
Metal Coordination Enhances Chalcogen Bonds: CSD Survey and Theoretical Calculations - MDPI
Int. J. Mol. Sci. 2022, 23, 4188                                                                                                   2 of 18

                                   systems for applications in crystal engineering, supramolecular chemistry, catalysis, trans-
                                   port of anions and functional materials [3,9,10,42]. As a common feature among the σ-hole
                                   family of interactions, the physical nature of the ChB is mainly based on electrostatics, while
                                   dispersion forces, polarization, charge-transfer, orbital delocalization and π-conjugation are
                                   also potential contributors to the ChB formation and strengthening [52–55]. In this context,
                                   two key features of the ChB interaction are both the strength and directionality. The former
                                   is related to the difference between the sum of van der Waals radii of the interacting atoms
                                   (ΣrvdW (Ch···A), where A = Lewis base) and the experimental Ch···A distance. The latter
                                   is related to the location of a σ-hole (opposite to the R–Ch bond), hence, the strength of
                                   the interaction is maximized at a ∠R–Ch···A angle of 180◦ , representing a measure of the
                                   directionality. In a parallel way to other σ-hole based interactions, both the strength and
                                   directionality of ChBs mainly depend on several factors:
                                         Ch atom involved: Conversely to HB, the σ-hole donor ability varies upon modifi-
                                   cation of the Ch atom [39,56,57]. In Table 1 are gathered the atomic polarizabilities (α)
                                   and van der Waals radii (RvdW ) of the chalcogen elements from period 2 to 5. As noted,
                                   the atomic α value becomes higher from 3.0 a.u. in O to 25.9 a.u. in Te. Interestingly, the
                                   difference in the atomic polarizability between O and S is noticeable (around 4 times higher
                                   for S), whilst the variations between S and Se or Se and Te are of lesser magnitude.
                                   Table 1. Atomic polarizabilities (α, a.u.) calculated at the MP2/def2-TZVP level of theory of chalcogen
                                   (Ch) elements and their van der Waals radii (RvdW , Å).

                                                  Ch                                 α                               RvdW
                                                   O                                 3.0                              1.52
                                                   S                                11.8                              1.80
                                                   Se                               17.5                              1.90
                                                   Te                               25.9                              2.06

                                        R groups attached to the Ch atom: The substituents (R) effect to the Ch···A bond
                                   features have been analysed from a theoretical perspective [58–62], evidencing that EWG
                                   enhance the strength of the ChB through the formation of larger and deeper σ-hole(s).
                                   Conversely, the use of electron-donating groups (EDG) resulted in a weakening of the
                                   interaction. Both types of substituents have been used to correlate structure-property
                                   functions, as well as a source of stabilization of the secondary coordination sphere in metal
                                   complexes. Figure 1 shows several Molecular Electrostatic Potential (MEP) surfaces of the
                                   –CH3 and –CF3 substituted Selenium and Tellurium derivatives. As noted, two σ-holes are
                                   located on each Ch atom on the extension of the C–Se and C–Te bonds and their MEP values
                                   become more positive ongoing from Se to Te, in agreement with the atomic polarizabilities
                                   discussed above. Moreover, the use of strong EWG (e.g., –CF3 ) increases the potential of
                                   the σ-hole, thus enhancing the σ-hole donor ability of the Ch atom and strengthening the
                                   interaction. Finally, using EDG as substituents of the Lewis base can also enhance the ChB
                                   interaction by increasing the nucleophilicity of the electron rich moiety [63,64].
Metal Coordination Enhances Chalcogen Bonds: CSD Survey and Theoretical Calculations - MDPI
Int. J. Mol. Sci. 2022, 23, x FOR PEER REVIEW                                                                                                                   3 of 18
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              Sci.2022,
                   2022,23,
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                                      Figure 1. MEP surfaces (MP2 [66]/def2-TZVP [67] level of theory) of the Ch(CH3)2 and Ch(CF3)2 (Ch
                                     Figure
                                    Figure   1.1. MEP
                                      = Se and    MEP  surfaces (MP2
                                                       surfaces
                                                  Te) molecules.       [66]/def2-TZVP
                                                                   The energy   values at[67]
                                                                        [65]/def2-TZVP    [66]level
                                                                                                levelof
                                                                                           concrete   oftheory)of of
                                                                                                          theory)
                                                                                                      points        ofthe
                                                                                                                  the     Ch(CH
                                                                                                                        the Ch(CH
                                                                                                                        surface   3)23and
                                                                                                                                 are      Ch(CF
                                                                                                                                      )2 and
                                                                                                                                      given       3)2 (Ch
                                                                                                                                            inCh(CF   3 )2
                                                                                                                                               kcal/mol
                                     =(0.001
                                    (Ch Se= and   Te)The
                                            Sea.u.).
                                                and   molecules.
                                                     Te) molecules.The energy
                                                                     The       values
                                                                          energy valuesat
                                                                                        atconcrete
                                                                                            concrete points
                                                                                                      points  of
                                                                                                               of the  surface  are
                                                                                                                                are  given
                                                                                                                                    given
                                                          calculations have been performed by means of the Turbomole 7.0 software (Karls-   in
                                                                                                                                           in  kcal/mol
                                                                                                                                              kcal/mol
                                     (0.001
                                    (0.001   a.u.).The
                                      ruhe,a.u.).
                                             Germany)Thecalculations
                                                         calculations
                                                          [68].        have
                                                                     have    been
                                                                           been   performed
                                                                                performed    by by means
                                                                                                means        of the
                                                                                                         of the      Turbomole
                                                                                                                Turbomole          7.0 software
                                                                                                                              7.0 software       (Karls-
                                                                                                                                            (Karlsruhe,
                                     ruhe,   Germany)
                                    Germany) [67].       [68].
                                             Interacting partner (A): A variety of classical nucleophile species (e.g., lone pair bear-
                                             Interacting partner partner (A): A       Avariety
                                                                                            variety   ofof
                                                                                                         classical
                                                                                                            classical nucleophile
                                                                                                                          nucleophile species (e.g.,(e.g.,
                                                                                                                                                       lone lone
                                                                                                                                                             pair2 bear-
                                            Interacting
                                     ing chalcogen,            pnictogen or halogen                atoms),     including      metal ionsspecies
                                                                                                                                           with available      dz pair
                                                                                                                                                                    (Rh+,
                                     ing2+chalcogen,          pnictogen         or  halogen        atoms),    including      metal   ions  with   available    dz 2 (Rh2+,
                                    bearing      chalcogen,
                                     Ni + , Pt 2+, Pd2+) or dx
                                                2+       2+         pnictogen
                                                                       2 − y (Au
                                                                              2       or
                                                                                      +     halogen
                                                                                        ) orbitals       atoms),     including    metal   ions   with
                                                                                                       can act as electron donor moieties to form strongavailable    dz
                                                                   2+             2         2      +
                                     Ni    , Pt    , Pd     )  or  dx    −  y   in a−similar
                                                                                (Au     )  orbitals    can   act   as electron    donor   moieties     to form    strong
                                    (Rh 2+      2+       2+           2
                                                              , Pd ) or dx    2       +
                                     ChBsNi          , Pt Moreover,
                                              [69–76].                                    y (Au fashion
                                                                                                     ) orbitalstocan    act as electron
                                                                                                                    aromatic              donor
                                                                                                                                 π-systems,     themoieties     to form
                                                                                                                                                     chelate ring     has
                                     ChBs [69–76].
                                    strong    ChBs           Moreover,
                                                        [68–75].      Moreover, in a similar
                                                                                          in  a     fashion
                                                                                                similar         to aromatic
                                                                                                           fashion     to        π-systems,
                                                                                                                          aromatic    π-systems,the chelate
                                                                                                                                                    the        ringring
                                                                                                                                                          chelate     has
                                     also been observed to participate as a ChB acceptor in intermolecular ChBs [77].
                                     alsoalso
                                    has      beenbeenobserved
                                                          observed   to participate
                                                                           to participate     as aasChBa ChBacceptor
                                                                                                                acceptor in intermolecular
                                                                                                                             in intermolecular  ChBsChBs[77].
                                                                                                                                                            [76].
                                             In this article, we illustrate several X-ray structures to highlight that ChBs in metal
                                            In
                                             Inthis
                                                 thisarticle,
                                                        article, we weillustrate
                                                                           illustrate severalseveral X-ray
                                                                                                        X-raystructures
                                                                                                                  structures to tohighlight
                                                                                                                                    highlight that
                                                                                                                                                 thatChBs
                                                                                                                                                       ChBsin  inmetal
                                                                                                                                                                   metal
                                     complexes can be used as an effective tool in crystal engineering and in the generation of
                                    complexes
                                     complexescan      canbe   beused
                                                                   usedas   asan aneffective
                                                                                      effectivetool  toolinincrystal
                                                                                                               crystalengineering
                                                                                                                          engineeringand andin  inthe
                                                                                                                                                   thegeneration
                                                                                                                                                        generationof   of
                                     functional materials. Particularly, we have focused our attention on a divalent Ch moiety
                                    functional
                                     functional       materials.
                                                       materials.      Particularly,
                                                                        Particularly,         we   have
                                                                                              we certainly focused
                                                                                                    have focused       our   attention
                                                                                                                        our attention   on   a  divalent
                                                                                                                                         onσ-hole,
                                                                                                                                              a divalent   Ch    moiety
                                                                                                                                                            Ch moiety
                                     coordinated          to a metal        center, which                         increases    the R–Ch               leading    to new
                                    coordinated
                                     coordinated to      toaametal
                                                                 metalcenter,
                                                                            center,which whichcertainly
                                                                                                   certainlyincreases
                                                                                                                  increasesthe theR–Ch     σ-hole,leading
                                                                                                                                    R–Chσ-hole,       leading to tonew
                                                                                                                                                                     new
                                     opportunities to use ChBs as a supramolecular tool in coordination chemistry [78,79]. To
                                    opportunities
                                     opportunities to       touseuseChBs
                                                                       ChBsas    asaasupramolecular
                                                                                          supramolecular tool      tool in
                                                                                                                         incoordination
                                                                                                                             coordination chemistry
                                                                                                                                              chemistry [77,78].
                                                                                                                                                            [78,79]. ToTo
                                     illustrate this idea, two examples have been selected (see Figure 2), where a bidentate
                                    illustrate
                                     illustrate this this idea,
                                                            idea, twotwo examples
                                                                             examples have      have    been
                                                                                                        been    selected
                                                                                                                 selected   (see
                                                                                                                             (see Figure
                                                                                                                                   Figure  2),
                                                                                                                                             2), where
                                                                                                                                                  where   aa bidentate
                                                                                                                                                              bidentate
                                     Se/Te ligand is coordinated to a Pd2+ ion                    2+ in addition        to two chloride ions in a square planar
                                    Se/Te     ligand isiscoordinated
                                     Se/Te ligand               coordinatedtotoa Pd        a Pd2+ ionion    in addition
                                                                                                       in addition      to twoto chloride
                                                                                                                                 two chloride
                                                                                                                                           ions in ions   in a square
                                                                                                                                                     a square     planar
                                     geometry. Upon coordination, there is one Se/Te σ-hole still available to undergo ChB
                                    planar
                                     geometry. geometry.
                                                       Upon      Upon       coordination,
                                                                  coordination,                     there   is  one   Se/Te    σ-hole  still available    to  undergo
                                     interactions,        which       exhibits an there    enhanced is one    Se/Te σ-hole
                                                                                                          electrostatic          still available
                                                                                                                             potential  (up to 14tokcal/mol)
                                                                                                                                                        undergo com- ChB
                                    ChB     interactions,
                                     interactions,        which   which
                                                                     exhibitsexhibits        an enhanced
                                                                                     an enhanced                 electrostatic
                                                                                                          electrostatic           potential
                                                                                                                            potential   (up to (up14tokcal/mol)
                                                                                                                                                        14 kcal/mol)com-
                                     pared to the uncoordinated ligand.
                                    compared
                                     pared to the     to the    uncoordinated
                                                         uncoordinated              ligand.ligand.

                                     Figure2.2. MEP surfaces
                                    Figure           surfaces of
                                                               of [PdCl
                                                                   [PdCl2{1,2-C 6H
                                                                         2 {1,2-C6H4(ChCH
                                                                                     4 (ChCH 3)23}]
                                                                                                  )2and 1,2-C
                                                                                                    }] and    6H46(ChCH
                                                                                                            1,2-C         3)2 (Ch
                                                                                                                   H4 (ChCH    3 )2 =(Ch
                                                                                                                                      Se and
                                                                                                                                         = SeTe)andmole-
                                                                                                                                                      Te)
                                     Figure  2. MEP
                                     cules. The      surfaces
                                                 energy valuesofat[PdCl 2{1,2-C6H4(ChCH3)2}] and 1,2-C6H4(ChCH3)2 (Ch = Se and Te) mole-
                                                                    concrete  points  of the
                                    molecules.  The  energy values   at concrete  points  of surface    are given
                                                                                              the surface          in kcal/mol
                                                                                                            are given  in kcal/mol(0.001 a.u.).a.u.).
                                                                                                                                       (0.001
                                     cules. The energy values at concrete points of the surface are given in kcal/mol (0.001 a.u.).
                                          In
                                           Inthis
                                              thiscontext,
                                                    context,the
                                                              theCambridge
                                                                   CambridgeStructural
                                                                                StructuralDatabase
                                                                                              Database(CSD)
                                                                                                         (CSD)[79][80]has
                                                                                                                       hasbeen
                                                                                                                            beeninspected
                                                                                                                                  inspectedand
                                                                                                                                             and
                                           In thisselected
                                    aaseries       context, the Cambridge       Structural    Database   (CSD) [80] has     been inspected   and
                                        seriesofof selectedexamples
                                                              exampleswherewhere SeSeororTeTeatoms
                                                                                              atomscoordinated
                                                                                                      coordinatedto    tosquare
                                                                                                                          squareplanar
                                                                                                                                   planarmetal
                                                                                                                                           metal
                                     acoordinated
                                        series of selected
                                    coordinated     behave   examples
                                                      behaveas   an an
                                                                as         where Se
                                                                    electrophilic     orcenter
                                                                                   center
                                                                        electrophilic      Te atoms
                                                                                            (chalcogencoordinated
                                                                                                         bondbond
                                                                                                (chalcogen      donor) to square
                                                                                                                          have
                                                                                                                       donor)      planar
                                                                                                                                been
                                                                                                                                have   beenmetal
                                                                                                                                      discussed.
                                                                                                                                              dis-
                                     coordinated
                                    In  a parallel    behave
                                                     way   to   as an
                                                               X-ray    electrophilic
                                                                       analysis,  the   center
                                                                                       presence (chalcogen
                                                                                                  of           bond
                                                                                                      intermolecular   donor)   have
                                                                                                                           chalcogen   been  dis-
                                                                                                                                       bonding
                                      cussed. In a parallel way to X-ray analysis, the presence of intermolecular chalcogen bond-
                                     cussed.
                                    in  metal  In a parallel
                                                organic       way to X-ray
                                                          complexes     hashasanalysis,
                                                                             been        the
                                                                                    alsoalso  presence
                                                                                          analyzed   fromof intermolecular
                                                                                                             a theoretical     chalcogen bond-
                                                                                                                             perspective.
                                      ing in metal   organic   complexes        been         analyzed   from   a theoretical   perspective.TheThe
                                     ing in metal
                                    selection        organic  complexes     has been   also of
                                                                                             analyzed   fromisatotheoretical   perspective.  The
                                      selection of square planar complexes instead of octahedral is to prevent stericeffects
                                                of square   planar   complexes    instead      octahedral          prevent   steric  effectsthat
                                                                                                                                             that
                                     selection
                                    may          of square   planar complexes      instead of octahedral      is to prevent   steric effects that
                                      mayhamper
                                            hamperthe  theformation
                                                           formationof   ofChB
                                                                            ChBinteractions,
                                                                                 interactions,as asrepresented
                                                                                                    representedin    inScheme
                                                                                                                        Scheme1.1. WeWebelieve
                                                                                                                                         believe
                                     may   hamper     the  formation    of ChB   interactions,   as represented     in  Scheme
                                    this review article will attract the attention of both theoreticians and experimentalists to  1. We  believe
Metal Coordination Enhances Chalcogen Bonds: CSD Survey and Theoretical Calculations - MDPI
Int. J. Mol. Sci. 2022, 23, x FOR PEER REVIEW                                                                                                   4 of 18

Int. J. Mol. Sci. 2022, 23, 4188                                                                                                                4 of 18

                                    this review article will attract the attention of both theoreticians and experimentalists to
                                    investigate the ChBs in coordination compounds, which can be used as a new synthon in
                                   investigate the ChBs in coordination compounds, which can be used as a new synthon in
                                    crystal engineering and improve the functional properties of materials.
                                   crystal engineering and improve the functional properties of materials.

                                    Scheme1.1. Schematic
                                   Scheme      Schematic representation
                                                           representation of
                                                                          ofaaChB
                                                                              ChBinteraction
                                                                                  interactionin
                                                                                              inaaCh-coordinated
                                                                                                   Ch-coordinatedoctahedral
                                                                                                                  octahedral(left)
                                                                                                                             (left) and
                                                                                                                                    and
                                    squareplanar
                                   square planar(right)
                                                  (right) complex.
                                                          complex.

                                   2.
                                    2. Computational
                                       Computational MethodsMethods
                                         Calculations
                                          Calculations regarding the
                                                           regarding    the supramolecular
                                                                             supramolecular complexes
                                                                                                 complexes havehave been
                                                                                                                       been carried
                                                                                                                             carried outout atat the
                                                                                                                                                  the
                                   PBE0    [80,81]-D3   [82]/def2-TZVP      [66] level  of theory  using   the program
                                    PBE0 [81,82]-D3 [83]/def2-TZVP [67] level of theory using the program Turbomole       Turbomole       7.2 (Karl-
                                                                                                                                                   7.2
                                   sruhe,    Germany)
                                    (Karlsruhe,           [67]. The
                                                   Germany)      [68].binding   energy
                                                                       The binding       values
                                                                                      energy      (∆EBSSE
                                                                                                values  (ΔE) BSSE
                                                                                                             were    calculated
                                                                                                                  ) were         as the
                                                                                                                          calculated     as energy
                                                                                                                                            the en-
                                   difference     between
                                    ergy difference          the optimized
                                                        between                structures
                                                                   the optimized             of theofcomplex
                                                                                     structures                 and and
                                                                                                      the complex     isolated  monomers
                                                                                                                           isolated   monomers   fol-
                                   lowing     the supermolecule      approximation     (∆E  complex  = E complex  −  E monomerA
                                    following the supermolecule approximation (ΔEcomplex = Ecomplex − EmonomerA − EmonomerB). Us-−   E  monomerB     ).
                                   Using
                                    ing the Gaussian 16 software [84], the MEP surfaces of compounds Ch(CH3)2, Ch(CF3)2,,
                                            the  Gaussian    16 software   [83], the MEP     surfaces  of compounds      Ch(CH   3 )2 , Ch(CF    3 )2
                                   [PdCl
                                    [PdCl22{1,2-C
                                             {1,2-C66H  Ch(CH33))22}]}]and
                                                     H44Ch(CH          and 1,2-C
                                                                            1,2-C66H
                                                                                   H44Ch(CH
                                                                                       Ch(CH33)2)2(Ch
                                                                                                    (Ch==Se Seand
                                                                                                               andTe)Te) have
                                                                                                                         have been
                                                                                                                               been computed
                                                                                                                                        computed
                                   at  the  MP2   [65]/def2-TZVP       level of
                                    at the MP2 [66]/def2-TZVP level of theory.  theory.
                                         To compute the contribution of the Chalcogen bond contacts (in kcal/mol) the follow-
                                          To compute the contribution of the Chalcogen bond contacts (in kcal/mol) the follow-
                                   ing equations were used [84]:
                                    ing equations were used [85]:
                                                        Eint =E0.375   × V(r)
                                                                int = 0.375   − 0.5655
                                                                            x V(r)       (for(for
                                                                                   − 0.5655   those ChBs
                                                                                                  those   involving
                                                                                                        ChBs        Se) Se)
                                                                                                             involving

                                                        Eint =E0.556  × V(r) + 0.6445 (for those ChBs involving Te)
                                                               int = 0.556 x V(r) + 0.6445 (for those ChBs involving Te)

                                         Finally,
                                          Finally,the
                                                   theBader’s
                                                       Bader’s“Atoms
                                                                “Atoms  inin
                                                                           molecules”  theory
                                                                               molecules”       [85,86]
                                                                                           theory       has has
                                                                                                    [86,87] beenbeen
                                                                                                                  usedused
                                                                                                                       to analyze   and
                                                                                                                            to analyze
                                   describe  the  interactions discussed    in this work using   the AIMall  calculation package
                                    and describe the interactions discussed in this work using the AIMall calculation package       [87].
                                   The
                                    [88].PBE0/def2-TZVP
                                          The PBE0/def2-TZVPlevel level
                                                                  of theory   was used
                                                                         of theory  was for
                                                                                        usedthefor
                                                                                                 wavefunction   analysis
                                                                                                   the wavefunction      as wellasaswell
                                                                                                                      analysis       for
                                   the NBO charge analysis (also using Gaussian-16 software).
                                    as for the NBO charge analysis (also using Gaussian-16 software).
                                   3. Results and Discussion
                                    3. Results and Discussion
                                   3.1. CSD Search
                                    3.1. CSD Search
                                         We have inspected the CSD and found 103 structures where either divalent Se or Te is
                                          We have
                                   coordinated     to inspected    the CSD
                                                       square planar     metaland    foundwhich
                                                                                  centers,    103 structures
                                                                                                     were in all where
                                                                                                                   caseseither    divalent
                                                                                                                           Pt or Pd.          Se or Te
                                                                                                                                       No examples
                                    is coordinated
                                   with   other typicalto square
                                                          square planar
                                                                    planarmetals
                                                                              metal centers,
                                                                                      like Ni andwhich   werefound.
                                                                                                     Rh were    in all cases   Pt or Pd.inNo
                                                                                                                         Remarkably,         73 exam-
                                                                                                                                                 out of
                                    plesstructures,
                                   103    with otherwetypical     square
                                                           detected         planar metals
                                                                       the existence    of ChBlike   Ni and Rhusing
                                                                                                  interactions,    werethe found.   Remarkably,
                                                                                                                              following    geometric  in
                                    73  out of 103  structures,    we   detected    the  existence   of ChB   interactions,    using
                                   criteria: Ch···X distance shorter than the sum of van der Waals radii plus 0.2 Å (ΣRvdw + 0.2)      the  following
                                    geometric
                                   and   ] R–Chcriteria:     Ch···than
                                                  ···X greater    X distance     shorter(Xthan
                                                                         160 degrees         = O,the   sum
                                                                                                    C, Pt,   ofCl
                                                                                                           Pd,  vanandderI).Waals
                                                                                                                            Table S1radii  plus 0.2
                                                                                                                                        compiles      Å
                                                                                                                                                    the
                                    (ΣRvdw
                                   CSD       + 0.2) and
                                          reference       ∡ R–Ch·
                                                       codes,        ··X greater
                                                               geometric           than and
                                                                               features   160 degrees      (X = O, C,
                                                                                                donor-acceptor         Pt, Pd,
                                                                                                                    atoms.       Cl and
                                                                                                                              Most        I). Table
                                                                                                                                      of the         S1
                                                                                                                                               hits are
                                    compiles for
                                   observed     theSe
                                                    CSD (40 reference
                                                            structures)codes,     geometric
                                                                          and chloride          featuresdonor
                                                                                           as electron     and donor-acceptor
                                                                                                                  (52 structures). atoms.      Most of
                                                                                                                                      Other electron
                                    the hitsare
                                   donors     areBr,
                                                  observed
                                                     I, O andfor    Se (40 belonging
                                                                 C-atoms     structures)toand      chloride
                                                                                              electron   richas  electronrings.
                                                                                                              aromatic      donorInterestingly,
                                                                                                                                     (52 structures).
                                                                                                                                                    we
                                    Otheralso
                                   have     electron   donors
                                                observed     somearestructures
                                                                       Br, I, O and
                                                                                  whereC-atoms     belonging
                                                                                           it is the            to electron
                                                                                                      metal center    that actsrich
                                                                                                                                 as aromatic     rings.
                                                                                                                                     electron donor
                                    Interestingly,
                                   (3  for Pd and 3we  forhave   also geometric
                                                            Pt). The    observed some       structures
                                                                                     features,    energieswhere
                                                                                                             and it  is the metal center
                                                                                                                   characterization           that
                                                                                                                                         of the    acts
                                                                                                                                                 ChBs
                                   are  provided
                                    as electron     in the(3following
                                                  donor       for Pd and  sections.
                                                                              3 for Pt). The geometric features, energies and characteri-
                                    zation of the ChBs are provided in the following sections.
                                   3.2. Selenium Derivatives
                                   3.2.1.  OxygenDerivatives
                                    3.2. Selenium    as Electron Donor
                                   3.2.1.Figure
                                          Oxygen3aasshows   a Donor
                                                     Electron self-assembled dimer that is formed in the solid state of
                                   dichloro-(2,3:7,8-bis(methylenedioxy)-selenanthrene-Se,Se0 )-platinum(II) (refcode DUW-
                                   MEN [88]). It can be observed that one O-atom of the methylenedioxy group is located
Metal Coordination Enhances Chalcogen Bonds: CSD Survey and Theoretical Calculations - MDPI
Int. J. Mol. Sci. 2022, 23, x FOR PEER REVIEW                                                                                                          5 of 18
Int. J. Mol. Sci. 2022, 23, x FOR PEER REVIEW                                                                                                          5 of 18

                                          Figure 3a shows a self-assembled dimer that is formed in the solid state of dichloro-
Int. J. Mol. Sci. 2022, 23, 4188         Figure 3a shows a self-assembled dimer that is formed in the solid
                                   (2,3:7,8-bis(methylenedioxy)-selenanthrene-Se,Se′)-platinum(II)                            (refcodestate ofDUWMEN
                                                                                                                                                 dichloro-
                                                                                                                                                       5 of 18
                                   (2,3:7,8-bis(methylenedioxy)-selenanthrene-Se,Se′)-platinum(II)
                                   [89]). It can be observed that one O-atom of the methylenedioxy group is located opposite  (refcode        DUWMEN
                                   [89]).
                                   to theItC–Se
                                             can be   observed
                                                    bond,   thus that
                                                                    forming one O-atom
                                                                                  a ChB. ofThetheMEP
                                                                                                  methylenedioxy
                                                                                                        surface (Figure    group
                                                                                                                               3b) isoflocated    opposite
                                                                                                                                         this compound
                                   to the C–Se
                                   opposite
                                   reveals    the  bond,
                                               to the  C–Se
                                                  existence thus
                                                               of forming
                                                              bond,three  thus    a ChB.
                                                                                 forming
                                                                             σ-holes      The   MEP
                                                                                           a ChB.
                                                                                       opposite   toThe surface
                                                                                                      the   MEP     (Figure
                                                                                                             threesurface
                                                                                                                     covalent  3b)
                                                                                                                             (Figureof this
                                                                                                                                bonds,         compound
                                                                                                                                        3b)including
                                                                                                                                              of  this com-the
                                   reveals
                                   pound     the
                                   coordination   existence
                                            revealsPt–Se       of
                                                      the existencethree
                                                             bond. Itof      σ-holes
                                                                             three
                                                                           can         opposite   to
                                                                                     σ-holes opposite
                                                                               be observed            the
                                                                                               that the to  three    covalent
                                                                                                              the three
                                                                                                           intensity            bonds,
                                                                                                                       of covalent
                                                                                                                           the σ-hole      including
                                                                                                                                       bonds,          to the
                                                                                                                                                 including
                                                                                                                                          opposite         the
                                   coordination
                                   the
                                   C–Se    bond is Pt–Se
                                       coordination         bond.
                                                         Pt–Se
                                                     large,  which    Itiscan
                                                                  bond.      Itbe
                                                                                can
                                                                            quite  observed    that
                                                                                      be observed
                                                                                   unexpected       the
                                                                                                     thatintensity
                                                                                                 considering        theofelectronegativity
                                                                                                            the intensity theofσ-hole     opposite
                                                                                                                                 the σ-hole            to the
                                                                                                                                                  opposite
                                                                                                                                                 of  carbon
                                   C–Se
                                   to thebond
                                   (C–Se    bondisbond
                                           C–Se    islarge,  which
                                                       notismuch       is quiteisunexpected
                                                             large,polarized).
                                                                       which        quite        considering
                                                                                      Thisunexpected
                                                                                            is explained           thecoordination
                                                                                                            considering
                                                                                                              by the    electronegativity  of Seoftocarbon
                                                                                                                             the electronegativity    the ofPt
                                   (C–Se
                                   carbon  bond
                                             (C–Se is not
                                                      bond much
                                                             is  not polarized).
                                                                        much          This is
                                                                                  polarized).  explained
                                                                                                This   is     by  the
                                                                                                           explained   coordination
                                                                                                                          by
                                   that increases the Lewis acidity of the Se-atom. It can be also observed that the approxi- the         of  Se
                                                                                                                                   coordination   to  the
                                                                                                                                                        of  Pt
                                                                                                                                                            Se
                                   that
                                   to   increases
                                      the
                                   mation  Ptofthat   the Lewis
                                                the increases
                                                      O-atom    totheacidity
                                                                    the  Lewis  ofacidity
                                                                           Se could the Se-atom.
                                                                                      not           It can
                                                                                           ofpossible
                                                                                          be              forbe
                                                                                               the Se-atom.       also
                                                                                                                  It canobserved      that the approxi-
                                                                                                                          be alsooctahedral
                                                                                                               a hypothetical        observed       that the
                                                                                                                                                   complex
                                   mation    of
                                   approximationthe  O-atom
                                   due to the presence         to  the
                                                       of theofO-atom
                                                                 an apicalSe  could
                                                                             to the   not be  possible   for   a hypothetical    octahedral
                                                                                     Se could not be possible for a hypothetical octahedral
                                                                                ligand.                                                            complex
                                   due to thedue
                                   complex       presence    of an apical
                                                     to the presence            ligand.
                                                                            of an  apical ligand.

                                    Figure 3. (a) Partial view of refcode DUWMEN structure. Distance in Å . H-atoms omitted for clarity.
                                   Figure 3. (a)
                                    (b) MEP   (a) Partial
                                                  Partial
                                              surface     view
                                                          view of
                                                               ofrefcode
                                                       (isodensityrefcode DUWMEN
                                                                           DUWMEN
                                                                    0.001 a.u.)        structure.
                                                                                       structure.
                                                                                 of DUWMEN.    TheDistance
                                                                                                  Distance in
                                                                                                    energiesinÅat
                                                                                                               Å.. H-atoms
                                                                                                                    H-atoms
                                                                                                                   the      omitted
                                                                                                                             omitted
                                                                                                                       σ-holes       for
                                                                                                                                      forclarity.
                                                                                                                                          clarity.
                                                                                                                               are indicated    in
                                   (b) MEP
                                    kcal/mol.surface   (isodensity
                                                       (isodensity 0.001
                                                                    0.001 a.u.)
                                                                           a.u.)ofofDUWMEN.
                                                                                     DUWMEN.   The  energies
                                                                                                  The energiesat   the
                                                                                                                  at   σ-holes
                                                                                                                     the       are
                                                                                                                         σ-holes   indicated
                                                                                                                                 are  indicatedin
                                   kcal/mol.
                                   in kcal/mol.
                                          Two additional examples showing Ch···O contacts with a clear structure directing
                                    role Two    additional
                                          are shown             examples
                                                                 examples
                                                          in Figure           showing
                                                                               showing
                                                                          4. Both            Ch····
                                                                                           Ch·
                                                                                     complexes   ·OOcontacts
                                                                                                         contactswith
                                                                                                       present     thewitha clear
                                                                                                                            a clear
                                                                                                                         same        structure
                                                                                                                                 ligand  structure directing
                                                                                                                                                       direct-
                                                                                                                                              [2-(phenyl((2-
                                   role
                                   ing    are
                                         role  shown
                                              are   shown in   Figure
                                                              in   Figure4. 4.Both
                                                                                Both complexes
                                                                                        complexes      present
                                                                                                         present   the
                                                                                                                     the same
                                                                                                                          same
                                    (phenylselanyl)ethyl)imino)methyl)phenolato], coligand (chloride) and the difference re-     ligand
                                                                                                                                  ligand      [2-(phenyl((2-
                                                                                                                                              [2-(phenyl((2-
                                   (phenylselanyl)ethyl)imino)methyl)phenolato],
                                   (phenylselanyl)ethyl)imino)methyl)phenolato],                      coligand (chloride)
                                                                                                      coligand      (chloride) and
                                                                                                                                 and thethe difference
                                                                                                                                               difference re-re-
                                    sides in the transition metal (Pd for XUFHEM [90]                      and Pt for XUFHIQ            [90]). Both struc-
                                   sides in the transition metal (Pd for XUFHEM      XUFHEM [90]    [89] and Pt for XUFHIQ [90]).       [89]). Both
                                                                                                                                                  Both struc-
                                                                                                                                                        struc-
                                    tures form very similar self-assembled dimers in the solid state where two symmetrically
                                   tures form very similar self-assembled dimers in the solid state where two symmetrically
                                    equivalent Se···O contacts are established. Both dimers also present metal···metal (M···M)
                                   equivalent Se     ···                    established. Both dimers also              present
                                                                                                                       present metal     ·····metal (M   ···
                                    interactionsSe·   ··O contacts
                                                    with   distancesare  shorter than 3.45 Å . The Se·          also
                                                                                                                 ··O distances    metal·
                                                                                                                                    are shorter      (M·
                                                                                                                                                     in   ··M)
                                                                                                                                                        XUF-
                                   interactions
                                   interactions   with
                                                   with   distances
                                                           distances   shorter
                                                                         shorter than
                                                                                   than 3.45  Å. ÅThe
                                                                                           3.45     .    Se···
                                                                                                       The  Se·O··distances
                                                                                                                   O           are are
                                                                                                                       distances    shorter
                                                                                                                                         shorterin XUFHEM
                                                                                                                                                    in  XUF-
                                    HEM (Figure 4a) structure, likely influenced by the shorter Pd···Pd distance. The direc-
                                   (Figure
                                   HEM       4a) structure,
                                           (Figure               likely influenced      by the shorter       Pd···PdPd·  distance.    The directionality
                                    tionality  of the4a)   structure,
                                                         ChBs    is worse likely
                                                                             (withinfluenced
                                                                                     respect toby       the shorter
                                                                                                   linearity)     than the··Pd     distance.
                                                                                                                              observed            The direc-
                                                                                                                                              in DUWMEN
                                   of  the ChBs
                                   tionality       is worse     (with   respect   to  linearity)   than    the  observed      in  DUWMEN           structure
                                    structureof   the ChBs
                                               (Figure     4b), is  worse
                                                                 which    is (with  respect
                                                                             also due    to thetorestriction
                                                                                                   linearity)imposed
                                                                                                                  than the by observed
                                                                                                                                 the M···in   M DUWMEN
                                                                                                                                                 interaction.
                                   (Figure   4b), which     is also   due   to the  restriction    imposed       by   the  M ···
                                   structure (Figure 4b), which is also due to the restriction imposed by the M···M interaction. M  interaction.

                                    Figure 4. Partial views of the refcodes XUFHEM (a) and XUFHIQ (b) structures. Distances in Å.
                                    H-atoms omitted for clarity.
Metal Coordination Enhances Chalcogen Bonds: CSD Survey and Theoretical Calculations - MDPI
Int.
 Int.J.J.Mol.
         Mol.Sci.
              Sci.2022,
                   2022,23,
                         23,xxFOR
                               FORPEER
                                   PEERREVIEW
                                        REVIEW                                                                                                               66 of
                                                                                                                                                                 of 18
                                                                                                                                                                     18

 Int. J. Mol. Sci. 2022, 23, 4188   Figure
                                     Figure4.4.Partial
                                                Partialviews
                                                        viewsofofthe
                                                                   therefcodes
                                                                       refcodesXUFHEM
                                                                                XUFHEM(a)
                                                                                       (a)and
                                                                                           andXUFHIQ
                                                                                               XUFHIQ(b)
                                                                                                      (b)structures.
                                                                                                          structures.Distances
                                                                                                                     Distancesin
                                                                                                                               inÅÅ
                                                                                                                                  6.of
                                                                                                                                    .H-
                                                                                                                                     H-18
                                    atoms
                                     atomsomitted
                                           omittedfor forclarity.
                                                          clarity.

                                    3.2.2.
                                     3.2.2.Halogen as      Electron Donor
                                     3.2.2. Halogen
                                             Halogen as  as Electron
                                                            Electron Donor
                                                                       Donor
                                          As
                                           As  commented       above,   most hits       from the      CSD search         present an       halogen atom          as
                                           As commented above, most
                                                commented       above,    most hitshits from
                                                                                          from thethe CSD
                                                                                                       CSD search
                                                                                                               search present
                                                                                                                           present an  an halogen
                                                                                                                                            halogen atom  atom asas
                                    electron
                                     electron   donor,    basically  because      chloride     is  widely     used     in  the    synthesis     of  Pd    and   Pt
                                     electron donor,
                                                 donor, basically
                                                           basically because
                                                                      because chloride
                                                                                   chloride is   is widely
                                                                                                    widely usedused in  in the
                                                                                                                             the synthesis
                                                                                                                                   synthesis of   of Pd
                                                                                                                                                     Pd and and Pt
                                                                                                                                                                 Pt
                                    complexes.
                                     complexes.    Figure 5a    highlights aaself-assembled            dimer that       is formed      in the    solid state    of
                                     complexes. Figure
                                                     Figure 5a
                                                             5a highlights
                                                                 highlights a self-assembled
                                                                                  self-assembled dimer   dimer thatthat isis formed
                                                                                                                             formed in  in the
                                                                                                                                             the solid
                                                                                                                                                  solid state
                                                                                                                                                           state of
                                                                                                                                                                  of
                                    (1,2-bis(phenylseleno)benzene)-dichlorido-palladium(II)
                                     (1,2-bis(phenylseleno)benzene)-dichlorido-palladium(II)                        (refcode
                                                                                                                     (refcodeXILFEEXILFEE      [91]),
                                                                                                                                    XILFEE[90]),[91]),  selected
                                                                                                                                                         selected
                                     (1,2-bis(phenylseleno)benzene)-dichlorido-palladium(II) (refcode                                                selected    as
                                    as
                                     asrepresentative
                                        representative     X-ray
                                                            X-ray structure
                                                                   structure    with
                                                                                 with  Se····Cl   contacts.
                                                                                                   contacts.It    can
                                                                                                                   canbe  beobserved
                                                                                                                              observedthat  thatthe    chloride
                                     representative      X-ray   structure    with    SeSe·   ·Clcontacts.
                                                                                          ···Cl               ItItcan   be    observed      that   the
                                                                                                                                                   the chloride
                                                                                                                                                         chloride
                                    ligands
                                     ligands  are   located
                                                are located  opposite
                                                     locatedopposite     to
                                                              oppositetotothe the   C–Se
                                                                               theC–Se       bonds,
                                                                                    C–Sebonds,bonds,   thus
                                                                                                        thus  forming
                                                                                                               forming      four
                                                                                                                              four  concurrent
                                                                                                                                     concurrent      ChBs
                                                                                                                                                     ChBs     and
                                     ligands are                                                     thus   forming      four    concurrent      ChBs     andand
                                                                                                                                                               one
                                    one
                                     one Pd·  ·
                                              · Pd  contact.  The   MEP     surface    of   this  compound         (see   Figure     5b)  reveals    the    exist-
                                     Pd···Pd·
                                            Pd··contact.
                                                 Pd contact.
                                                           TheTheMEP MEP     surface
                                                                       surface           of this
                                                                                   of this         compound
                                                                                              compound        (see(see     Figure
                                                                                                                      Figure     5b) 5b)   reveals
                                                                                                                                      reveals     the the    exist-
                                                                                                                                                       existence
                                    ence
                                     ence of
                                           oftwo
                                               twoσ-holes
                                                     σ-holes  opposite
                                                               opposite  to (i)(i)one   C–Se covalent        bond     and (ii)     to
                                                                                                                                    toone   Pt–Se    coordina-
                                     of two   σ-holes    opposite    to (i)toone   one
                                                                                   C–SeC–Se      covalent
                                                                                            covalent     bond bondandand       (ii)one
                                                                                                                         (ii) to       one
                                                                                                                                        Pt–SePt–Se    coordina-
                                                                                                                                                  coordination
                                    tion
                                     tion bond.
                                           bond.   The
                                                    The  second
                                                          second   C–Se
                                                                    C–Se  σ-hole
                                                                            σ-hole   is
                                                                                      is buried
                                                                                          buried    by
                                                                                                     by  the
                                                                                                          the large
                                                                                                               large    negative
                                                                                                                         negative     belt
                                                                                                                                       belt  of
                                                                                                                                              of Cl.
                                                                                                                                                  Cl. ItIt can
                                                                                                                                                            can be
                                                                                                                                                                 be
                                     bond. The second C–Se σ-hole is buried by the large negative belt of Cl. It can be observed
                                    observed
                                     observed    that
                                                  that the
                                                        the MEP
                                                            MEP   value
                                                                   value  at
                                                                           at the
                                                                               the σ-hole
                                                                                    σ-hole    opposite
                                                                                               opposite    to
                                                                                                            tothe
                                                                                                                the  Pd–Se
                                                                                                                      Pd–Se
                                     that the MEP value at the σ-hole opposite to the Pd–Se bond is larger likely due to the    bond
                                                                                                                                 bond  is
                                                                                                                                        is larger
                                                                                                                                            larger  likely
                                                                                                                                                     likely   due
                                                                                                                                                               due
                                    to
                                     tothe
                                        thecontributionof theof
                                             contribution
                                     contribution             ofthe
                                                                 thenearby
                                                              nearby  nearby
                                                                       C–H bond.C–H
                                                                                 C–Hbond.bond.

                                    Figure
                                     Figure5.5.
                                     Figure  5.(a)
                                                 (a)Partial
                                                (a)   Partialview
                                                     Partial  viewof
                                                               view   refcode
                                                                   ofofrefcode
                                                                        refcodeXILFEE
                                                                                XILFEE
                                                                                  XILFEE  structure.
                                                                                           structure.Distances
                                                                                                      Distances
                                                                                             structure.        in
                                                                                                                inÅin
                                                                                                        Distances  Å. .H-atoms
                                                                                                                        H-atoms
                                                                                                                       Å.        omitted
                                                                                                                           H-atomsomitted  for
                                                                                                                                     omittedforclarity.
                                                                                                                                                clarity.
                                                                                                                                               for clar-
                                    (b)
                                     (b) MEP
                                         MEP   surface
                                                surface  (isodensity
                                                          (isodensity   0.001
                                                                         0.001 a.u.)
                                                                                a.u.) of
                                                                                       of XILFEE.
                                                                                           XILFEE. The
                                                                                                    The energies
                                                                                                         energies at
                                                                                                                   at the
                                                                                                                       the σ-holes
                                                                                                                            σ-holes are
                                                                                                                                     are indicated
                                                                                                                                          indicated  in
                                                                                                                                                      in
                                     ity. (b) MEP surface (isodensity 0.001 a.u.) of XILFEE. The energies at the σ-holes are indicated
                                    kcal/mol.
                                     kcal/mol.
                                     in kcal/mol.

                                           Three
                                            Threeadditional
                                            Three    additionalexamples
                                                     additional    examplesshowing
                                                                   examples       showingCh·
                                                                                  showing       Ch····
                                                                                              Ch·    ··Cl
                                                                                                        Clcontacts
                                                                                                       ·Cl  contactsare
                                                                                                           contacts      arerepresented
                                                                                                                        are   representedin
                                                                                                                             represented        inFigure
                                                                                                                                               in    Figure6,6,
                                                                                                                                                     Figure      6,inin
                                                                                                                                                                      in
                                    all
                                     all cases
                                     all cases   the   adducts    are  self-assembled
                                          cases the adducts are self-assembled dimers. In     dimers.       In  the
                                                                                                              In the  dimer
                                                                                                                  the dimer
                                                                                                                        dimer ofof  dichloro-(diphenyl(2-
                                                                                                                                 of dichloro-(diphenyl(2-
                                                                                                                                     dichloro-(diphenyl(2-
                                    (phenylselanyl)phenyl)phosphine)-platinum
                                     (phenylselanyl)phenyl)phosphine)-platinum(PUYWUC
                                     (phenylselanyl)phenyl)phosphine)-platinum                         (PUYWUC[92],
                                                                                                      (PUYWUC          [91],Figure
                                                                                                                      [92],   Figure6a),
                                                                                                                             Figure    6a),the
                                                                                                                                       6a),  thePt·
                                                                                                                                            the      Pt····
                                                                                                                                                    Pt· ··PtPtinter-
                                                                                                                                                          ·Pt  inter-
                                                                                                                                                                inter-
                                    action
                                     action  is not
                                     action isisnot  established
                                                  notestablished    and
                                                        establishedand andthe   formation
                                                                           thetheformation    of
                                                                                      formation    the
                                                                                                of the   dimer
                                                                                                          dimer
                                                                                                     of the       is dominated
                                                                                                                   is dominated
                                                                                                               dimer    is dominated by  ChBs.
                                                                                                                                      by ChBs.
                                                                                                                                            by ChBs.In  the
                                                                                                                                                     In theIn other
                                                                                                                                                               otherthe
                                    two
                                     two
                                     otherstructures
                                           structures    (refcodes
                                                          (refcodes
                                             two structures          TAFWIJ
                                                                      TAFWIJ
                                                                (refcodes          [93],
                                                                               TAFWIJ[93],Figure
                                                                                           Figure
                                                                                          [92],     6b 6band
                                                                                                  Figure    6bEPULIM
                                                                                                          and   EPULIM
                                                                                                                and   EPULIM [94],  Figure
                                                                                                                              [94],[93],
                                                                                                                                     Figure  6c),
                                                                                                                                         Figure6c),Pd· Pd·
                                                                                                                                                     6c),  ··
                                                                                                                                                            ·Pd
                                                                                                                                                             ·Pd
                                                                                                                                                            Pd  ···in-
                                                                                                                                                                    in-
                                                                                                                                                                     Pd
                                    teractions
                                     teractions
                                     interactions coexist
                                                   coexist  with
                                                             with
                                                       coexist     the
                                                                with    Se·
                                                                    thethe
                                                                         Se··Se
                                                                             ··Cl···contacts.
                                                                               ·Cl   contacts.  Among
                                                                                     Cl contacts. Among Amongthem,
                                                                                                              them,  TAFWIJ
                                                                                                                      TAFWIJ
                                                                                                                   them,         structure
                                                                                                                            TAFWIJ structure    isisthe
                                                                                                                                        structure       isone
                                                                                                                                                      the   the ex-
                                                                                                                                                            one    ex-
                                                                                                                                                                  one
                                    hibiting
                                     hibiting
                                     exhibiting the  highest
                                                 thethe
                                                      highest  directionality
                                                         highestdirectionality
                                                                   directionality   (∡C–Se·
                                                                                        (C–Se······
                                                                                      (∡C–Se·   Cl
                                                                                                 ·Cl ==176.1°)
                                                                                                    Cl     176.1◦and
                                                                                                        =176.1°)   and
                                                                                                                   ) andthe
                                                                                                                         the
                                                                                                                           theshortest
                                                                                                                               shortest
                                                                                                                                shortest M·
                                                                                                                                          M····M
                                                                                                                                            M  ····
                                                                                                                                                MM   distance.
                                                                                                                                                      distance.
                                                                                                                                                         distance.

                                     Figure 6. Partial views of the X-ray structures of PUYWUC (a), TAFWIJ (b) and EPULIM (c). Distances
                                     in Å. H-atoms omitted for clarity.
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Int. J. Mol. Sci. 2022, 23, x FOR PEER REVIEW                                                                                                                7 of 18
Int. J. Mol. Sci. 2022, 23, x FOR PEER REVIEW                                                                                                                7 of 18

Int. J. Mol. Sci. 2022, 23, 4188    Figure 6. Partial views of the X-ray structures of PUYWUC (a), TAFWIJ (b) and EPULIM (c). Dis-
                                    Figure 6. Partial views of the X-ray structures of PUYWUC (a), TAFWIJ (b) and EPULIM (c).7 of 18
                                                                                                                               Dis-
                                    tances in Å . H-atoms omitted for clarity.
                                    tances in Å . H-atoms omitted for clarity.

                                    3.2.3. Carbon as
                                    3.2.3.           as Electron Donor
                                                                   Donor
                                    3.2.3. Carbon
                                           Carbon as Electron
                                                        Electron Donor
                                          Figure 7a
                                          Figure   7a shows
                                                      shows aa dimer
                                                                 dimer extracted
                                                                        extracted from
                                                                                    from an
                                                                                          an 1D
                                                                                             1D supramolecular
                                                                                                  supramolecular assembly
                                                                                                                    assembly thatthat propa-
                                                                                                                                        propa-
                                          Figure
                                    gates in
                                           in the  7a shows
                                              the crystal      a dimer
                                                   crystal packing
                                                            packing of  extracted   from  an 1D   supramolecular    assembly
                                                                     of chloro-[8-({[2-(phenylselanyl)ethyl]imino}methyl)naphtha-
                                                                        chloro-[8-({[2-(phenylselanyl)ethyl]imino}methyl)naphtha- that  propa-
                                    gates
                                    gates  in the crystal  packing  of chloro-[8-({[2-(phenylselanyl)ethyl]imino}methyl)naphthalen-
                                    len-1-yl]-palladium(II) complex
                                    len-1-yl]-palladium(II)      complex (refcode
                                                                           (refcode BEJWIZ
                                                                                      BEJWIZ [95]).
                                                                                                [95]). The
                                                                                                       The C-atom
                                                                                                            C-atom bonded
                                                                                                                      bonded to to the
                                                                                                                                    the PdPd is
                                                                                                                                             is
                                    1-yl]-palladium(II)
                                    located   opposite   tocomplex
                                                            the  C–Se(refcode
                                                                       bond,    BEJWIZ
                                                                              thus       [94]).
                                                                                     playing theThe   C-atom
                                                                                                   electron  bonded
                                                                                                            donor  roletointhe PdChB
                                                                                                                             this   is located
                                                                                                                                         inter-
                                    located
                                    oppositeopposite     to thebond,
                                                to the C–Se      C–Sethus
                                                                       bond,  thus playing
                                                                            playing          the electron
                                                                                      the electron   donor donor
                                                                                                            role inrole
                                                                                                                    thisinChBthisinteraction,
                                                                                                                                   ChB inter-
                                    action, which
                                    action,  which isis facilitated
                                                        facilitated by
                                                                    by the
                                                                        the anionic
                                                                            anionic nature
                                                                                      nature of
                                                                                             of this
                                                                                                 this C-atom.
                                                                                                       C-atom. The
                                                                                                               The MEP
                                                                                                                     MEP surface
                                                                                                                            surface (Figure
                                                                                                                                       (Figure
                                    which is facilitated by the anionic nature of this C-atom. The MEP surface (Figure 7b)
                                    7b)
                                    7b) shows
                                        shows    a small
                                                 a small  σ-hole
                                                          σ-hole   opposite
                                                                  opposite   to the  C–Se bond   that  merges with   the  large  blue   region
                                    shows    a small  σ-hole   opposite   to to
                                                                             thethe C–Se
                                                                                  C–Se    bondthat
                                                                                        bond     thatmerges
                                                                                                       mergeswith
                                                                                                              withthethelarge
                                                                                                                         large blue
                                                                                                                                 blue region
                                                                                                                                        region
                                    under the influence
                                    under        influence ofof the
                                                                the methylene
                                                                    methylene group.
                                                                                 group.
                                    under the
                                            the influence of    the methylene    group.

                                    Figure 7. (a)  Partial
                                               (a) Partial view
                                                   Partialview   of
                                                            viewof  refcode
                                                                  ofrefcode BEJWIZ
                                                                     refcodeBEJWIZ    structure.
                                                                             BEJWIZstructure.    Distance
                                                                                        structure.Distance
                                                                                                   Distancein Å .Å.H-atoms  omitted  for clarity.
                                    Figure 7. (a)                                                          in in     H-atoms
                                                                                                               Å . H-atoms     omitted
                                                                                                                            omitted  forfor clar-
                                                                                                                                         clarity.
                                    (b) MEP surface (isodensity 0.001 a.u.) of BEJWIZ. The energies at the σ-holes are indicated in
                                    (b)
                                    ity. MEP  surface
                                         (b) MEP        (isodensity
                                                   surface           0.001
                                                            (isodensity    a.u.)a.u.)
                                                                         0.001    of BEJWIZ.   TheThe
                                                                                      of BEJWIZ.    energies  at the
                                                                                                        energies       σ-holes
                                                                                                                   at the      areare
                                                                                                                          σ-holes  indicated
                                                                                                                                      indicatedin
                                    kcal/mol.
                                    kcal/mol.
                                    in kcal/mol.
                                         Other two
                                         Other   two examples
                                                       examples of     of X-ray
                                                                          X-ray structures
                                                                                  structures exhibiting
                                                                                                    exhibiting Se  Se·
                                                                                                                   Se· ····C
                                                                                                                      ···  C     contacts,
                                                                                                                            C contacts,       where
                                                                                                                                 contacts, where
                                                                                                                                              where thethe electron
                                                                                                                                                            electron
                                    donor C-atom
                                    donor   C-atombelongs
                                            C-atom     belongstoto
                                                      belongs       toanan
                                                                        anaromatic
                                                                            aromatic
                                                                            aromatic        system,
                                                                                           system,
                                                                                        system,         are
                                                                                                     areare  given
                                                                                                             given
                                                                                                          given         in Figure
                                                                                                                       in
                                                                                                                  in Figure    Figure      8.
                                                                                                                                     8. It 8. It is
                                                                                                                                           is It is interesting
                                                                                                                                                    interesting
                                                                                                                                              interesting           to
                                                                                                                                                                    to
                                                                                                                                                             to high-
                                    highlight   that
                                    light that for
                                    highlight           for     chloro-(2,4-di-t-butyl-6-(((2-(phenylselanyl)ethyl)imino)methyl)phe-
                                                   chloro-(2,4-di-t-butyl-6-(((2-(phenylselanyl)ethyl)imino)methyl)phenolato)-
                                                that    for chloro-(2,4-di-t-butyl-6-(((2-(phenylselanyl)ethyl)imino)methyl)phe-
                                    nolato)-palladium(II)
                                    palladium(II)
                                    nolato)-palladium(II)        structure
                                                    structurestructure
                                                                   (Figure 8a, (Figure
                                                                                  refcode
                                                                               (Figure      8a,
                                                                                            8a,   refcode[95]),
                                                                                               COKFIT
                                                                                                  refcode    COKFIT
                                                                                                             COKFIT             [96]), the
                                                                                                                    the self-assembled
                                                                                                                               [96]),    the self-assembled
                                                                                                                                              self-assembled
                                                                                                                                                   dimer does not  di-
                                                                                                                                                                  di-
                                    mer  does
                                    present
                                    mer does   not
                                             M···
                                               not  present
                                                  Mpresent
                                                     interactionsM·  ·
                                                                 M···M·M  interactions
                                                                        and   the C-atomand
                                                                          interactions        and    the
                                                                                                is locatedC-atom
                                                                                                             opposite
                                                                                                     the C-atom       is    located       opposite
                                                                                                                               to the Pd–Se
                                                                                                                      is located         oppositebond.to  the Pd–Se
                                                                                                                                                          Therefore,
                                                                                                                                                      to the  Pd–Se
                                    bond.
                                    in this Therefore,
                                            compound,     in this
                                                            the     compound,
                                                                  third   σ-hole     the
                                                                                    at     third
                                                                                         the         σ-hole
                                                                                               Se-atom       at
                                                                                                           that  the   Se-atom
                                                                                                                  emerges
                                    bond. Therefore, in this compound, the third σ-hole at the Se-atom that emerges upon Pd-        uponthat   emerges     upon
                                                                                                                                             Pd-complexation      Pd-is
                                    complexation
                                    responsible   foris responsible
                                                       the   formation    for
                                                                            of the
                                                                                the formation
                                                                                      dimers.       Inof the
                                                                                                       this   dimers.
                                                                                                             example,
                                    complexation is responsible for the formation of the dimers. In this example, the ChBs areInthethis  example,
                                                                                                                                      ChBs    are  thethe  ChBs
                                                                                                                                                        only      are
                                                                                                                                                               forces
                                    the only
                                    the only forces
                                    governing forces   governingFor
                                                 the assembly.
                                                       governing       thethe
                                                                       the  assembly.        For the
                                                                                 other example
                                                                            assembly.        For   the other
                                                                                                         other
                                                                                                         (TOQPEVexample
                                                                                                                example            (TOQPEV
                                                                                                                          [96],(TOQPEV
                                                                                                                                    Figure 8b),   [97],  Figure 8b),
                                                                                                                                                    in addition
                                                                                                                                                  [97],  Figure  8b),
                                                                                                                                                                    to
                                    in addition
                                    theaddition
                                    in            to
                                        ChBs opposite the   ChBs     opposite
                                                            to the opposite
                                                  to the ChBs         C–Se bonds, to   the
                                                                                  to the      C–Se     bonds,
                                                                                              M···Mbonds,
                                                                                         an C–Se                an
                                                                                                        interaction
                                                                                                                an M· M·     · ·
                                                                                                                           is··MM   interaction
                                                                                                                                 established
                                                                                                                                    interaction     is  established
                                                                                                                                                  further   support-
                                                                                                                                                    is established
                                    further
                                    ing      supportingofthe
                                        the formation
                                    further  supporting       the   formation
                                                                theformation       of the
                                                                      self-assembled
                                                                                   of   the dimer.
                                                                                              self-assembled
                                                                                                         Curiously,
                                                                                              self-assembled          dimer.
                                                                                                                           the Pd–Se
                                                                                                                      dimer.         Curiously,
                                                                                                                                            ···C ChBs
                                                                                                                                     Curiously,      the (dimer
                                                                                                                                                    the    Pd–Se·····
                                                                                                                                                          Pd–Se·     C
                                                                                                                                                                    of
                                                                                                                                                                     C
                                    ChBs
                                    COKFIT)
                                    ChBs   (dimer   of
                                               are of
                                           (dimer   moreCOKFIT)        are
                                                             directional
                                                        COKFIT)             more    directional
                                                                                     the C–Se···C
                                                                              than directional
                                                                       are more                        than   the
                                                                                                          (dimer
                                                                                                       than         C–Se·
                                                                                                                     of TOPQEV).
                                                                                                              the C–Se·          ··C  (dimer
                                                                                                                                 ··C (dimer      of TOPQEV).
                                                                                                                                              Toofour  knowledge,
                                                                                                                                                    TOPQEV).       To
                                                                                                                                                                   To
                                    our knowledge, there are not previous examples in the literature of M–CH·····X
                                    our
                                    thereknowledge,
                                          are not         there
                                                   previous         are
                                                                 examplesnot   previous
                                                                               in the          examples
                                                                                         literature     of    in
                                                                                                           M–CH   the··· X literature
                                                                                                                               ChBs,        of
                                                                                                                                        where    M–CH·
                                                                                                                                                  the       X ChBs,
                                                                                                                                                       electronChBs,
                                                                                                                                                                 rich
                                    whereisthe
                                    atom
                                    where   the electron
                                             opposite
                                                electron    rich
                                                          torich
                                                             a M–Ch atombond.
                                                                   atom    is opposite
                                                                           is opposite       to aa M–Ch
                                                                                   This interesting
                                                                                             to    M–Ch and bond.
                                                                                                            bond.     This interesting
                                                                                                                  unexplored
                                                                                                                      This        interesting     and unexplored
                                                                                                                                         topic deserves
                                                                                                                                                 and    unexplored
                                                                                                                                                             further
                                    topic deserves
                                    investigation   byfurther
                                                         the      investigation
                                                               scientific   community.by   the   scientific
                                    topic deserves further investigation by the scientific community.         community.

                                    Figure 8. Partial views of the X-ray structures of refcodes COKFIT (a) and TOQPEV (b). Distances in
                                    Å. H-atoms omitted for clarity.
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Int. J. Mol. Sci. 2022, 23, x FOR PEER REVIEW                                                                                                8 of 18

                                    Figure 8. Partial views of the X-ray structures of refcodes COKFIT (a) and TOQPEV (b). Distances
Int. J. Mol. Sci. 2022, 23, 4188    Figure 8. Partial views of the X-ray structures of refcodes COKFIT (a) and TOQPEV (b). Distances
                                                                                                                              8 of 18
                                    in Å . H-atoms omitted for clarity.
                                    in Å . H-atoms omitted for clarity.
                                    3.2.4. Metal as Electron Donor
                                    3.2.4. Metal as Electron Donor
                                    3.2.4.The
                                           Metal
                                               roleasofElectron  Donorin d8 or d10 configuration as electron donors has been recently
                                                        metal centers
                                          The role of metal centers in d88 or d10     configuration as electron donors has been recently
                                          The role
                                    analyzed    for of  metal centers
                                                     halogen   bonding     d or d10 configuration
                                                                        ininteractions                 as electron
                                                                                          [98]. However,      similardonors  has been for
                                                                                                                      investigations   recently
                                                                                                                                           chal-
                                    analyzed for halogen bonding interactions [98]. However, similar investigations for chal-
                                    analyzed   for halogen
                                    cogen bonding             bonding interactions
                                                        are unprecedented.      In this [97].  However,
                                                                                         section,  we show  similar investigations
                                                                                                               several              for chalco-
                                                                                                                        examples where     Pt or
                                    cogen bonding are unprecedented. In this section, we show several examples where Pt or
                                    gen  bonding
                                    Pd act          are unprecedented.
                                             as electron    donors in ChBs. In this  section,
                                                                                Figure         we show
                                                                                          9a shows          several examples
                                                                                                      a self-assembled         where
                                                                                                                           dimer      Pt or Pd
                                                                                                                                   observed    in
                                    Pd as
                                    act actelectron
                                            as electron    donors
                                                       donors        in ChBs.
                                                                inVUGWOK
                                                                    ChBs.       Figure
                                                                           Figure         9a shows    a self-assembled     dimer   observed   in
                                    the solid  state of  refcode                 [99].9aThe
                                                                                         shows
                                                                                            Pd isalocated
                                                                                                    self-assembled
                                                                                                             oppositedimer    observed
                                                                                                                       to the C–Se  bond,inthus
                                                                                                                                             the
                                    the solid
                                    solid      state  of refcode   VUGWOK       [99].   The
                                                                                          PdPd  is locatedopposite
                                                                                                             oppositetotothe
                                                                                                                          theC–Se
                                                                                                                              C–Sebond,
                                                                                                                                    bond, thus
                                                                                                                                           thus
                                    actingstate  of refcode
                                            as electron   donorVUGWOK
                                                                  in the ChB [98].  The
                                                                               interaction.  isThe
                                                                                                 located
                                                                                                    MEP surface (Figure      9b) shows  a small
                                    acting
                                    acting  as electron   donor   in the ChB   interaction.   The   MEP    surface (Figure  9b)  shows  a small
                                    σ-holeas   electronto
                                             opposite     donor   in the bond
                                                            the Pd–Se    ChB interaction.     The MEP
                                                                                 (+8.1 kcal/mol)     and asurface  (Figure 9b)
                                                                                                             more intense   oneshows    a small
                                                                                                                                  opposite  to a
                                    σ-hole opposite
                                    σ-hole  opposite to  to the
                                                            the Pd–Se
                                                                 Pd–Se bond
                                                                         bond (+8.1
                                                                                (+8.1 kcal/mol)
                                                                                        kcal/mol) andand  aa more
                                                                                                             more  intense
                                                                                                                   intense  one
                                                                                                                            one   opposite
                                                                                                                                  opposite  to
                                                                                                                                            to aa
                                    C–Se bond (+16.9 kcal/mol).
                                    C–Se bond
                                    C–Se   bond (+16.9
                                                  (+16.9 kcal/mol).
                                                          kcal/mol).

                                    Figure 9. (a) Partial view of refcode VUGWOK structure. Distance in Å . H-atoms omitted for clarity.
                                    Figure 9. (a) Partial view of refcode
                                                                  refcode VUGWOK
                                                                           VUGWOK structure.
                                                                                        structure. Distance
                                                                                                   Distance in
                                                                                                             in ÅÅ.. H-atoms
                                                                                                                      H-atoms omitted
                                                                                                                               omitted for
                                                                                                                                         forclarity.
                                                                                                                                             clarity.
                                    (b) MEP surface (isodensity 0.001 a.u.) of VUGWOK. The energies at the σ-holes are indicated in
                                    (b) MEP surface (isodensity
                                    (b)                (isodensity  0.001
                                                                    0.001 a.u.)
                                                                           a.u.) ofofVUGWOK.
                                                                                      VUGWOK.   The
                                                                                                  Theenergies
                                                                                                       energies at atthethe
                                                                                                                          σ-holes areare
                                                                                                                            σ-holes   indicated
                                                                                                                                         indicatedin
                                    kcal/mol.
                                    kcal/mol.
                                    in kcal/mol.
                                          Other three interesting examples of X-ray structures exhibiting Se···M (M = Pt, Pd)
                                          Other three interesting
                                                         interesting examples of X-rayX-ray structures
                                                                                             structures exhibiting
                                                                                                          exhibiting Se    ···
                                                                                                                         Se···M (M = = Pt, Pd)
                                    are depicted in Figure 10. It is worthy to comment that the C–Se···M angle is in all cases
                                         depicted in Figure
                                    are depicted       Figure 10.
                                                                10. It is
                                                                       is worthy
                                                                          worthy toto comment
                                                                                      comment thatthat the
                                                                                                        the C–Se
                                                                                                            C–Se· ·····M angle is in all cases
                                    higher than 170°,     thus confirming the strong directionality of the interaction and that the
                                                      ◦ , thus
                                                  170°,
                                    higher than 170            confirming the     strong  directionality   of the  interaction and that the
                                    nucleophilic metal center (filled dz2 orbital) is pointing to the σ-hole opposite to the C–Se
                                    nucleophilic metal center (filled ddzz22 orbital)
                                                                               orbital) is pointing to the σ-hole opposite to the C–Se
                                    bond. For the three selected examples (QETFED [100] (Figure 10a), QETFAZ [100] (Figure
                                    bond.
                                    bond. For the
                                                the three
                                                    threeselected
                                                            selectedexamples
                                                                      examples(QETFED
                                                                                  (QETFED[99]    (Figure
                                                                                              [100]       10a),
                                                                                                    (Figure     QETFAZ
                                                                                                              10a),    QETFAZ[99][100]
                                                                                                                                  (Figure 10b)
                                                                                                                                       (Figure
                                    10b) and MELJUJ [101] (Figure 10c)) the distances are similar (around 3.7 Å ). Finally, in
                                    and
                                    10b)MELJUJ     [100] (Figure
                                          and MELJUJ                10c)) the
                                                           [101] (Figure      distances
                                                                           10c))          are similar
                                                                                 the distances         (around
                                                                                                 are similar     3.7 Å). Finally,
                                                                                                               (around              in Table in
                                                                                                                           3.7 Å ). Finally,  2,
                                    Table 2, the list of CSD codes including compound names and formulas of the Se involving
                                    the list of CSD  codes   including    compound     names   and  formulas   of  the  Se involving
                                    Table 2, the list of CSD codes including compound names and formulas of the Se involving           dimers
                                    dimers is given.
                                    is given.is given.
                                    dimers

                                    Figure 10.
                                    Figure   10. Partial
                                                 Partialviews
                                                          viewsofofthe
                                                                    theX-ray
                                                                        X-raystructures
                                                                               structuresofof refcodes
                                                                                            refcodes   QETFED
                                                                                                     QETFED (a),(a), QETFAZ
                                                                                                                 QETFAZ   (b) (b)
                                                                                                                               andand MELJUJ
                                                                                                                                   MELJUJ (c).
                                    Figure 10. Partial views of the X-ray structures of refcodes QETFED (a), QETFAZ (b) and MELJUJ
                                    (c). Distances
                                    Distances   in Å.inH-atoms
                                                        Å . H-atoms  omitted
                                                                 omitted       for clarity.
                                                                          for clarity.
                                    (c). Distances in Å . H-atoms omitted for clarity.
Metal Coordination Enhances Chalcogen Bonds: CSD Survey and Theoretical Calculations - MDPI
Int. J. Mol. Sci. 2022, 23, 4188                                                                                                  9 of 18

                                   Table 2. List of CSD codes, compound names and formulas of the Se involving dimers.

                                     CSD Code                             Name                                    Formula
                                                          dichloro-(2,3:7,8-bis(methylenedioxy)-
                                     DUWMEN                 selenanthrene-Se,Se0 )-platinum(II)          C14 H8 Cl2 O4 PtSe2 , C3 H6 O
                                                                      acetone solvate
                                                          chloro-(2-(phenyl((2-(phenylselanyl-
                                      XUFHEM           kSe)ethyl)imino-kN)methyl)phenolato-kO)-              C21 H18 ClNOPdSe
                                                                      palladium(II)
                                                          chloro-(2-(phenyl((2-(phenylselanyl-
                                      XUFHIQ           kSe)ethyl)imino-kN)methyl)phenolato-kO)-              C21 H18 ClNOPtSe
                                                                      platinum(II)
                                                        (1,2-bis(phenylseleno)benzene)-dichlorido-
                                       XILFEE                                                                 C18 H14 Cl2 PdSe2
                                                                      palladium(II)
                                                                  cichloro-(diphenyl(2-
                                      PUYWUC                                                                  C24 H19 Cl2 PPtSe
                                                       (phenylselanyl)phenyl)phosphine)-platinum
                                                     dichloro-(2-(phenylselanyl)aniline)-palladium(II)
                                       TAFWIJ                                                            C12 H11 Cl2 NPdSe, C2 H3 N
                                                                    acetonitrile solvate
                                                          dichloro-(1-(2,6-di-isopropylphenyl)-4-
                                      EPULIM            ((phenylselanyl)methyl)-1H-1,2,3-triazole)-          C21 H25 Cl2 N3 PdSe
                                                                       palladium(II)
                                                                      chloro-[8-({[2-
                                       BEJWIZ       (phenylselanyl)ethyl]imino}methyl)naphthalen-1-           C19 H16 ClNPdSe
                                                                    yl]-palladium(II)
                                                              chloro-(2,4-di-t-butyl-6-(((2-
                                       COKFIT        (phenylselanyl)ethyl)imino)methyl)phenolato)-           C23 H30 ClNOPdSe
                                                                     palladium(II)
                                                     chloro-(2-(1-(2-(phenylselanyl)ethylimino)ethyl)-
                                      TOQPEV                                                                 C20 H18 ClNOPdSe
                                                           1-naphtholato-N,O,Se)-palladium(II)
                                                     chloro-(1,7-bis(phenylselenomethyl)-1,7-dicarba-
                                     VUGWOK                                                                  C16 H23 B10 ClPdSe2
                                                         closo-dodecaborate-B,S,S0 )-palladium(II)
                                                      dichloro-(1-methyl-3-[(phenylselanyl)methyl]-
                                                                                                             C11 H12 Cl2 N2 PtSe,
                                      QETFED                 imidazol-2-ylidene)-platinum(II)
                                                                                                                0.5(C2 H3 N)
                                                                   acetonitrile solvate
                                                      dichloro-(1-methyl-3-[(phenylselanyl)methyl]-
                                                                                                             C11 H12 Cl2 N2 PdSe,
                                      QETFAZ                imidazol-2-ylidene)-palladium(II)
                                                                                                                 0.5(C2 H3 N)
                                                                   acetonitrile solvate
                                                     chloro-((2-((2-methylselanyl)ethyl)iminomethyl)-
                                       MELJUJ                                                                C15 H22 ClNOPdSe
                                                        6-(1-ethylpropyl)phenolato)-palladium(II)

                                   3.3. Tellurium Derivatives
                                         In case of tellurium complexes, the CSD search shows that there are no examples
                                   involving oxygen as electron donor. In most of the hits, the electron donor is a halogen atom
                                   (Cl, Br or I), a π-system or a metal center (Pd and Pt) as discussed in the following sections.

                                   3.3.1. Halogen as Electron Donor
                                        Figure 11a highlights a self-assembled dimer that is formed in the X-ray packing of
                                   bis(benzenetellurenyl iodide)-di-iodo-palladium(II) (refcode CUHMOJ [101]), selected as
                                   representative structure showing Te···I contacts. It can be observed that the iodide ligands
                                   are located approximately opposite to the C–Te bonds (] C–Te···I = 161.1◦ ), thus forming
                                   four concurrent ChBs and one Pd···Pd contact (3.402 Å). The MEP surface of this compound
                                   (see Figure 11b) reveals the existence of two σ-holes opposite to (i) one C–Te covalent bond
                                   and (ii) to a Pd–Te coordination bond. The third σ-hole (expected opposite to the I–Te
                                   bond) is completely covered by the large and negative belt of I. It can be observed that the
Metal Coordination Enhances Chalcogen Bonds: CSD Survey and Theoretical Calculations - MDPI
Int. J. Mol. Sci. 2022, 23, 4188                                                                                                                                            10 of 18

Int.
Int. J.J. Mol.
          Mol. Sci.
               Sci. 2022,
                    2022, 23,
                          23, xx FOR
                                 FOR PEER
                                     PEER REVIEW
                                          REVIEW                                                                                                                          10
                                                                                                                                                                          10 of
                                                                                                                                                                             of 18
                                                                                                                                                                                18
                                      MEP value at the σ-hole opposite to the Pd–Te bond is smaller (+15.7 kcal/mol) than that
                                      opposite to the C–I bond (+18.8 kcal/mol).

                                      Figure
                                      Figure 11.
                                               11. (a)
                                                    (a)Partial
                                                   (a)  Partialview
                                                       Partial  view
                                                                  viewof refcode
                                                                      ofof
                                                                         refcode
                                                                           refcodeCUHMOJ
                                                                                   CUHMOJ
                                                                                     CUHMOJ   structure.
                                                                                               structure. Distances
                                                                                                          Distances
                                                                                                  structure.        in
                                                                                                                    in ÅÅin
                                                                                                              Distances   .. H-atoms
                                                                                                                             H-atoms  omitted
                                                                                                                                       omitted
                                                                                                                              Å. H-atoms        for
                                                                                                                                                 for clar-
                                                                                                                                             omitted clar-
                                                                                                                                                       for
                                      ity.
                                      ity. (b)
                                           (b) MEP
                                      clarity. MEP
                                               (b)   surface
                                                   MEPsurface (isodensity
                                                               (isodensity
                                                         surface            0.001
                                                                             0.001
                                                                   (isodensity     a.u.)
                                                                                   a.u.)
                                                                                0.001    of
                                                                                         of CUHMOJ.
                                                                                       a.u.) CUHMOJ.
                                                                                             of CUHMOJ. The  energies
                                                                                                        TheThe
                                                                                                             energies at
                                                                                                                      at the
                                                                                                                energies the   σ-holes
                                                                                                                               σ-holes
                                                                                                                           at the      are  indicated
                                                                                                                                        areare
                                                                                                                                  σ-holes    indicated
                                                                                                                                               indicatedin
                                                                                                                                                         in
                                      kcal/mol.
                                      kcal/mol.
                                      in kcal/mol.

                                              Three
                                              Three additional
                                                         additional examples
                                                                           examples showing
                                                                                         showing Te·   Te· ····Cl,
                                                                                                       Te···   Cl,Br
                                                                                                               Cl,  Brcontacts
                                                                                                                    Br   contactsare
                                                                                                                        contacts        arerepresented
                                                                                                                                        are    representedin
                                                                                                                                               represented          inFigure
                                                                                                                                                                    in   Figure12,
                                                                                                                                                                        Figure     12,
                                                                                                                                                                                    12,
                                      where
                                      where all   allthree
                                                  all   threeform
                                                       three     form
                                                                   form  self-assembled
                                                                         self-assembled
                                                                            self-assembled   dimers
                                                                                              dimers
                                                                                                 dimers  in
                                                                                                          in thein solid
                                                                                                               the  solidsolid
                                                                                                                    the       state   that
                                                                                                                                       that are
                                                                                                                               statestate      are
                                                                                                                                                thatrelevant
                                                                                                                                                    relevant       in
                                                                                                                                                                   in the
                                                                                                                                                        are relevant   the crystal
                                                                                                                                                                             crystal
                                                                                                                                                                              in the
                                      packing.
                                      packing.
                                      crystal         In
                                                      In the
                                                  packing. the dimer
                                                                   In theof
                                                                 dimer         dichloro-[1-(2-{[2,6-di-isopropylphenyl]tellanyl}phenyl)-N,N-di-
                                                                           ofdimer
                                                                               dichloro-[1-(2-{[2,6-di-isopropylphenyl]tellanyl}phenyl)-N,N-di-
                                                                                     of dichloro-[1-(2-{[2,6-di-isopropylphenyl]tellanyl}phenyl)-
                                      methylmethanamine]-palladium(II)
                                      methylmethanamine]-palladium(II) (CODTEX
                                      N,N-dimethylmethanamine]-palladium(II)                   (CODTEX           [103]),
                                                                                                           (CODTEX[103]), the       M·
                                                                                                                              [102]),
                                                                                                                              the    M···the
                                                                                                                                          ··M   M  ···M interaction
                                                                                                                                             M interaction
                                                                                                                                                interaction        is
                                                                                                                                                                    is not
                                                                                                                                                                        not estab-
                                                                                                                                                                               is not
                                                                                                                                                                              estab-
                                      lished
                                      lished and
                                      establishedand the   and
                                                         the    dimer     formation
                                                                   the dimer
                                                                dimer                   is
                                                                                         is basically
                                                                                  formation
                                                                          formation                      dominated
                                                                                                is basically
                                                                                            basically     dominated dominated  by
                                                                                                                               by Te·
                                                                                                                                    Te·· ···Cl
                                                                                                                                        by   ClTe ···Clthat
                                                                                                                                                ChBs
                                                                                                                                                ChBs       ChBs
                                                                                                                                                          that   are
                                                                                                                                                                  are  less
                                                                                                                                                                     that     direc-
                                                                                                                                                                        lessare   less
                                                                                                                                                                              direc-
                                      tional                     ◦ ) compared
                                      tional (157°)
                                      directional(157°)(157  compared
                                                             compared        to
                                                                             to those   previously
                                                                                    to those
                                                                                 those         previously
                                                                                         previously      described
                                                                                                          described       for
                                                                                                                           for Se
                                                                                                                   described          (Figure
                                                                                                                                  Sefor             12a).
                                                                                                                                            Se (Figure
                                                                                                                                       (Figure               It
                                                                                                                                                    12a).12a).It is
                                                                                                                                                                 is known
                                                                                                                                                                      It is known
                                                                                                                                                                     known       that
                                                                                                                                                                                 that
                                      that
                                      the     the directionality
                                      the directionality
                                             directionality          of
                                                                     of ChBs
                                                                         ChBsof ChBs     decreases
                                                                                 decreases
                                                                                  decreases   on
                                                                                               on going
                                                                                                   goingon goingfrom SSfrom
                                                                                                               from       to
                                                                                                                           to Te TeSbecause
                                                                                                                                       to Te because
                                                                                                                                      because       the     sizethe
                                                                                                                                                     the size      of size
                                                                                                                                                                   of  the    of the
                                                                                                                                                                       the σ-hole
                                                                                                                                                                              σ-hole
                                      σ-hole
                                      is
                                      is larger
                                         larger   isinlarger
                                                     in  the
                                                         the morein thepolarizable
                                                                 more      more polarizable
                                                                         polarizable     Ch       Ch In
                                                                                          Ch atoms.
                                                                                              atoms.     atoms.
                                                                                                         In the       In thetwo
                                                                                                               the other
                                                                                                                    other         other
                                                                                                                                two          two structures
                                                                                                                                      structures
                                                                                                                                      structures        represented
                                                                                                                                                         represented represented
                                                                                                                                                                             in
                                                                                                                                                                             in Fig-
                                                                                                                                                                                 Fig-
                                      in
                                      ure Figure
                                             12        12
                                                 (refcodes  (refcodes
                                                                  JAGZIA   JAGZIA
                                                                                [104]  [103]
                                                                                       (Figure(Figure
                                                                                                 12b)      12b)
                                                                                                          and      and
                                                                                                                   TAPYEO TAPYEO
                                      ure 12 (refcodes JAGZIA [104] (Figure 12b) and TAPYEO [105] (Figure 12c)), Pd···Pd and        [105]    [104]
                                                                                                                                              (Figure(Figure
                                                                                                                                                           12c)), 12c)),
                                                                                                                                                                     Pd·  ·Pd
                                                                                                                                                                           ·    ···
                                                                                                                                                                                 andPd
                                      and
                                      Pt·     Pt
                                      Pt·····Pt  ··· Pt   interactions
                                             Pt interactions
                                                  interactions coexist        coexist
                                                                        coexist with   with
                                                                                   with the   the
                                                                                           the Te· Te   ···
                                                                                                Te·····Br   Br
                                                                                                       Br and    and
                                                                                                              and Te·   Te  ···
                                                                                                                     Te·····Cl   Cl  contacts,
                                                                                                                             Cl contacts,           respectively.
                                                                                                                                   contacts, respectively.
                                                                                                                                                   respectively. JAGZIA   JAGZIA
                                      structure        isthetheoneonewithwithhigher
                                                                                higherdirectionality
                                                                                          directionality(∡C–Te·  (] C–Te        ···Br   = 171.7     ◦ ) and shorter M···M
                                      structure
                                      structure is     is  the   one    with   higher    directionality        (∡C–Te·     ····Br
                                                                                                                               Br  == 171.7°)
                                                                                                                                      171.7°)     and
                                                                                                                                                   and    shorter
                                                                                                                                                           shorter M·  M·····MM dis-
                                                                                                                                                                                  dis-
                                      distance
                                      tance
                                      tance (3.568
                                                (3.568(3.568     Å) whilst
                                                           ÅÅ )) whilst
                                                                 whilst    TAPYEO
                                                                           TAPYEOTAPYEO      exhibits
                                                                                        exhibits
                                                                                        exhibits   longer
                                                                                                   longer  longer
                                                                                                                M·
                                                                                                                 M·····M
                                                                                                                       M   ···M distance
                                                                                                                       Mdistance
                                                                                                                          distance          (3.730(3.730
                                                                                                                                            (3.730   ÅÅ )) and
                                                                                                                                                           and Å)smaller
                                                                                                                                                                     and smaller
                                                                                                                                                                  smaller     angle
                                                                                                                                                                               angle
                                      angle
                                      (∡C–Te·
                                      (∡C–Te·   (]····Cl
                                                      C–Te     ···Cl = 154.7◦ ).
                                                       Cl == 154.7°).
                                                              154.7°).

                                      Figure
                                      Figure 12.
                                              12. Partial
                                                      Partialviews
                                                   Partial   views of the
                                                                   ofof
                                                               views        X-ray
                                                                       thethe
                                                                            X-ray  structures
                                                                               X-raystructures of
                                                                                               of CODTEX
                                                                                       structures CODTEX (a),
                                                                                                         (a), JAGZIA
                                                                                                  of CODTEX   JAGZIA
                                                                                                              (a),    (b)
                                                                                                                      (b) and
                                                                                                                   JAGZIA  (b) TAPYEO
                                                                                                                          and  TAPYEO (c).
                                                                                                                                      (c). Dis-
                                                                                                                               and TAPYEO  Dis-
                                                                                                                                            (c).
                                      tances
                                      tances in
                                             in ÅÅin
                                      Distances    .. H-atoms
                                                      H-atoms
                                                       Å. H-atomsomitted
                                                                 omitted
                                                                   omitted for
                                                                           for clarity.
                                                                               clarity.
                                                                               for clarity.

                                      3.3.2.
                                      3.3.2.  Carbon as
                                      3.3.2. Carbon
                                              Carbon   as Electron
                                                       as  Electron Donor
                                                           Electron    Donor
                                                                       Donor
                                            We
                                            We   have
                                            We have    found
                                                  have found   only
                                                        found only     two
                                                                  only two   structures
                                                                           two   structures
                                                                                 structuresin the
                                                                                               in database
                                                                                               in the
                                                                                                   the databaseshowing
                                                                                                          database       Te···CTe·
                                                                                                                     showing
                                                                                                                      showing      interactions,
                                                                                                                                   Te·····C          which
                                                                                                                                          C interactions,
                                                                                                                                             interactions,
                                      are
                                      which
                                      whichrepresented
                                               are         in Figure
                                               are represented
                                                    represented    in     13, refcodes
                                                                   in Figure
                                                                        Figure   13,       SIDDAL
                                                                                 13, refcodes
                                                                                     refcodes    SIDDAL
                                                                                                 SIDDAL [105][106]
                                                                                                               and WIXSEB
                                                                                                              [106] and
                                                                                                                    and WIXSEB
                                                                                                                         WIXSEB  [106].    In the
                                                                                                                                      [107].
                                                                                                                                       [107].  In   former
                                                                                                                                                In the
                                                                                                                                                   the for-
                                                                                                                                                        for-
                                      the
                                      merchloro-(2-(1-((2-((4-methoxyphenyl)tellanyl)ethyl)amino)ethyl)phenolato)-palladium(II)
                                      mer   the
                                             the chloro-(2-(1-((2-((4-methoxyphenyl)tellanyl)ethyl)amino)ethyl)phenolato)-palla-
                                                 chloro-(2-(1-((2-((4-methoxyphenyl)tellanyl)ethyl)amino)ethyl)phenolato)-palla-
                                      forms
                                      dium(II)
                                      dium(II) discrete
                                                  forms dimers
                                                 forms    discretewith
                                                         discrete    dimers
                                                                     dimers short
                                                                                with
                                                                                with   ···
                                                                                    PdshortPd Pd·
                                                                                       short   distance
                                                                                               Pd·····Pd   (3.203 Å)
                                                                                                      Pd distance
                                                                                                          distance     reinforced
                                                                                                                    (3.203
                                                                                                                     (3.203           by shortby
                                                                                                                            ÅÅ )) reinforced
                                                                                                                                  reinforced      byand   di-
                                                                                                                                                      short
                                                                                                                                                      short
                                      and
                                      and directional
                                            directional Te···Cl
                                                          Te···Cl contacts
                                                                   contacts (see(see Figure
                                                                                      Figure 13a)
                                                                                               13a) using
                                                                                                       using the
                                                                                                              the σ-hole
                                                                                                                  σ-hole opposite
                                                                                                                           opposite to    to the
                                                                                                                                             the C  Aromatic–
                                                                                                                                                  CAromatic –
                                      Te
                                      Te bond.
                                          bond. In In addition,
                                                      addition, these
                                                                  these dimers
                                                                            dimers self-assemble
                                                                                     self-assemble via   via the
                                                                                                             the formation
                                                                                                                 formation of   of ChBs
                                                                                                                                    ChBs using
                                                                                                                                             using the
                                                                                                                                                     the σ-
                                                                                                                                                          σ-
                                      hole
                                      hole opposite
                                              opposite the
                                                         the C  aliphatic–Te
                                                              Caliphatic –Te bond
                                                                               bond where
                                                                                       where the the electron
                                                                                                        electron donor
                                                                                                                  donor C-atom
                                                                                                                           C-atom belongs belongs to to the
                                                                                                                                                         the
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