Are the solvent effects critical in the modeling of polyoxoanions?

DFT calculations were driven for a set of differently charged polyoxoanions in the gas phase and in solution. We have calculated and analyzed their geometries and orbital energies to trace simple rules of behavior regarding the modeling of anions in isolated form. We discuss the quality of the results depending on the molecular charge, q, and the size of the cluster in terms of the number of metal centers, m. When the q/m ratio reaches a value of ∼0.8, DFT calculations for the isolated anion fail to describe the gap between the band of occupied oxo orbitals and the set of unoccupied orbitals delocalized among the metal atoms. In these cases the incorporation of the stabilizing external fields generated by the solvent through continuum models improves the geometries and orbital energies. © 2004 Wiley Periodicals, Inc. J Comput Chem 25: 1542–1549, 2004

[1]  Tom Ziegler,et al.  An implementation of the conductor-like screening model of solvation within the Amsterdam density functional package , 1999 .

[2]  J. Poblet,et al.  Relative basicities of the oxygen sites in [V10O28]6-. An analysis of the ab initio determined distributions of the electrostatic potential and of the Laplacian of charge density , 1992 .

[3]  J. Maestre,et al.  From Lindqvist and Keggin ions to electronically inverse hosts , 1998 .

[4]  A. J. Bridgeman,et al.  Towards an understanding of the bonding in polyoxometalates through bond order and bond energy analysis. , 2003, Faraday discussions.

[5]  Carles Bo,et al.  Electronic properties of polyoxometalates: electron and proton affinity of mixed-addenda Keggin and Wells-Dawson anions. , 2002, Journal of the American Chemical Society.

[6]  Evert Jan Baerends,et al.  The zero order regular approximation for relativistic effects: the effect of spin-orbit coupling in closed shell molecules. , 1996 .

[7]  A. Kobayashi,et al.  The structure of tetraguanidinium α-dodecamolybdosilicate monohydrate, (CH6N3)4[SiMo12O40].H2O , 1980 .

[8]  P. Gómez‐Romero,et al.  Electronic Structure of the Highly Reduced Polyoxoanion [PMo12O40(VO)2]5-: A DFT Study , 1998 .

[9]  Hermann Stoll,et al.  Results obtained with the correlation energy density functionals of becke and Lee, Yang and Parr , 1989 .

[10]  Jacopo Tomasi,et al.  Approximate evaluations of the electrostatic free energy and internal energy changes in solution processes , 1982 .

[11]  N. Yamazoe,et al.  Electronic structure and redox mechanism of dodecamolybdophosphate , 1986 .

[12]  J. Poblet,et al.  Relative Stability in α- and β-Wells−Dawson Heteropolyanions: A DFT Study of [P2M18O62]n- (M = W and Mo) and [P2W15V3O62]n- , 2003 .

[13]  J. Poblet,et al.  Electronic and Magnetic Properties of α-Keggin Anions: A DFT Study of [XM12O40]n-, (M = W, Mo; X = AlIII, SiIV, PV, FeIII, CoII, CoIII ) and [SiM11VO40]m- (M = Mo and W) , 2001 .

[14]  Andreas Klamt,et al.  Incorporation of solvent effects into density functional calculations of molecular energies and geometries , 1995 .

[15]  P. Redfern,et al.  Quantum Mechanical Test of Marcus Theory. Effects of Alkylation upon Proton Transfer , 1986 .

[16]  Achim Müller,et al.  [Mo154(NO)14O420(OH)28(H2O)70](25 ± 5)−: A Water‐Soluble Big Wheel with More than 700 Atoms and a Relative Molecular Mass of About 24000 , 1995 .

[17]  S. H. Vosko,et al.  Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis , 1980 .

[18]  Evert Jan Baerends,et al.  Relativistic total energy using regular approximations , 1994 .

[19]  A. Klamt Conductor-like Screening Model for Real Solvents: A New Approach to the Quantitative Calculation of Solvation Phenomena , 1995 .

[20]  M. Mikuriya,et al.  Synthesis and Characterization of Tungstates Soluble in Nonaqueous Media , 1994 .

[21]  J. Perdew,et al.  Density-functional approximation for the correlation energy of the inhomogeneous electron gas. , 1986, Physical review. B, Condensed matter.

[22]  J. Poblet,et al.  Ab initio and DFT modelling of complex materials: towards the understanding of electronic and magnetic properties of polyoxometalates. , 2003, Chemical Society reviews.

[23]  Adam J. Bridgeman,et al.  Structure and Bonding in [M6O19]n- Isopolyanions , 2002 .

[24]  Evert Jan Baerends,et al.  Towards an order , 1998 .

[25]  John C. Slater,et al.  Quantum Theory of Molecules and Solids , 1951 .

[26]  K. Tytko,et al.  Bonding and charge distribution in isopolyoxometalate ions and relevant oxides—A bond valence approach , 1999 .

[27]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.

[28]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[29]  M. T. Pope,et al.  Origin of some charge-transfer spectra. Oxo compounds of vanadium, molybdenum, tungsten, and niobium including heteropoly anions and heteropoly blues , 1972 .

[30]  C. Hill,et al.  Introduction: Polyoxometalates-Multicomponent Molecular Vehicles To Probe Fundamental Issues and Practical Problems. , 1998, Chemical reviews.

[31]  Evert Jan Baerends,et al.  Geometry optimizations in the zero order regular approximation for relativistic effects. , 1999 .

[32]  G. Cavigliasso,et al.  Structure and Bonding in [W10O32]n- Isopolyanions , 2002 .

[33]  Axel D. Becke,et al.  Density Functional Calculations of Molecular Bond Energies , 1986 .

[34]  Evert Jan Baerends,et al.  Relativistic regular two‐component Hamiltonians , 1993 .

[35]  Evert Jan Baerends,et al.  Self-consistent molecular Hartree—Fock—Slater calculations I. The computational procedure , 1973 .

[36]  Evert Jan Baerends,et al.  Numerical integration for polyatomic systems , 1992 .

[37]  S. Borshch Electron Distribution in the Two-Electron Reduced Isopolytungstate [W10O32]6- , 1998 .

[38]  R. Thouvenot,et al.  Vibrational investigations of polyoxometalates. 2. Evidence for anion-anion interactions in molybdenum(VI) and tungsten(VI) compounds related to the Keggin structure , 1983 .

[39]  S. Borshch,et al.  Electron delocalization and magnetic state of doubly-reduced polyoxometalates. , 2001, Journal of the American Chemical Society.

[40]  Tom Ziegler,et al.  The determination of molecular structures by density functional theory. The evaluation of analytical energy gradients by numerical integration , 1988 .

[41]  M. T. Pope,et al.  A heteropolyanion with fivefold molecular symmetry that contains a nonlabile encapsulated sodium ion. The structure and chemistry of [NaP5W30O110]14- , 1985 .

[42]  A. Klamt,et al.  COSMO : a new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient , 1993 .

[43]  T. Yamase,et al.  183W NMR and X-ray crystallographic studies on the peroxo complexes of the Ti-substituted α-Keggin typed tungstophosphates , 1992 .

[44]  J. Tomasi,et al.  Electrostatic interaction of a solute with a continuum. A direct utilizaion of AB initio molecular potentials for the prevision of solvent effects , 1981 .

[45]  J. Poblet,et al.  Electronic Properties of Polyoxometalates: A DFT Study of α/β-[XM12O40]n- Relative Stability (M = W, Mo and X a Main Group Element) , 2001 .