DFT, DLPNO‐CCSD(T), and NEVPT2 benchmark study of the reaction between ferrocenium and trimethylphosphine

The reaction between ferrocenium and trimethylphosphine was studied using density functional theory (DFT), domain‐based local pair natural orbital coupled cluster theory with single‐, double‐, and perturbative triple excitations (DLPNO‐CCSD(T)), and N‐electron valence state perturbation theory (NEVPT2). The accuracy of the DFT functionals decreases compared to the DLPNO‐CCSD(T) level in the following order: M06‐L > TPSS > M06, BLYP > PBE, PBE0, B3LYP > > PWPB95 > > DSD‐BLYP. The roles of thermochemical, continuum solvation (SMD), and counterpoise corrections were evaluated. Grimme's D3 empirical dispersion correction is essential for all functionals studied except M06 and M06‐L. The reliability of the frequency calculations performed directly within the SMD was confirmed. The systems showed no significant multireference character according to T1 and T2 diagnostics and the fractional occupation number (FOD) weighted electron density analysis. The multireference NEVPT2 calculations gave qualitatively valid conclusions about the reaction mechanism. However, a multireference approach is generally not recommended because it requires arbitrary chosen active spaces.

[1]  D. Dixon,et al.  Prediction of Bond Dissociation Energies/Heats of Formation for Diatomic Transition Metal Compounds: CCSD(T) Works. , 2017, Journal of chemical theory and computation.

[2]  D. Dixon,et al.  Chemical accuracy in ab initio thermochemistry and spectroscopy: current strategies and future challenges , 2012, Theoretical Chemistry Accounts.

[3]  J. Pople,et al.  Self‐consistent molecular orbital methods. XX. A basis set for correlated wave functions , 1980 .

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

[5]  Andrei Kazakov,et al.  Efficient DLPNO-CCSD(T)-Based Estimation of Formation Enthalpies for C-, H-, O-, and N-Containing Closed-Shell Compounds Validated Against Critically Evaluated Experimental Data. , 2017, The journal of physical chemistry. A.

[6]  C. Cramer,et al.  Universal solvation model based on solute electron density and on a continuum model of the solvent defined by the bulk dielectric constant and atomic surface tensions. , 2009, The journal of physical chemistry. B.

[7]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[8]  F. Weigend,et al.  RI-MP2: first derivatives and global consistency , 1997 .

[9]  Frank Neese,et al.  Software update: the ORCA program system, version 4.0 , 2018 .

[10]  D. Gusev Assessing the Accuracy of M06-L Organometallic Thermochemistry , 2013 .

[11]  Michael A. Robb,et al.  Application of unitary group methods to configuration interaction calculations , 1979 .

[12]  G. Scuseria,et al.  Climbing the density functional ladder: nonempirical meta-generalized gradient approximation designed for molecules and solids. , 2003, Physical review letters.

[13]  Martha M. Flores-Leonar,et al.  Further insights in DFT calculations of redox potential for iron complexes: The ferrocenium/ferrocene system , 2017 .

[14]  K. Fukui The path of chemical reactions - the IRC approach , 1981 .

[15]  K. Pierloot Transition metals compounds: Outstanding challenges for multiconfigurational methods , 2011 .

[16]  A. D. McLean,et al.  Contracted Gaussian basis sets for molecular calculations. I. Second row atoms, Z=11–18 , 1980 .

[17]  S. Grimme,et al.  Efficient and Accurate Double-Hybrid-Meta-GGA Density Functionals-Evaluation with the Extended GMTKN30 Database for General Main Group Thermochemistry, Kinetics, and Noncovalent Interactions. , 2011, Journal of chemical theory and computation.

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

[19]  Michael A. Robb,et al.  Direct minimization in mc scf theory. the quasi-newton method , 1981 .

[20]  Stefan Grimme,et al.  Effect of the damping function in dispersion corrected density functional theory , 2011, J. Comput. Chem..

[21]  S. F. Boys,et al.  The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors , 1970 .

[22]  David Feller,et al.  A survey of factors contributing to accurate theoretical predictions of atomization energies and molecular structures. , 2008, The Journal of chemical physics.

[23]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .

[24]  Direct Phosphination of Ferrocenium Ion with Tertiary Phosphines by the Mechanism of Oxidative Nucleophilic Substitution , 2018, European Journal of Inorganic Chemistry.

[25]  S. Grimme,et al.  A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. , 2010, The Journal of chemical physics.

[26]  D. Seyferth Cadet's Fuming Arsenical Liquid and the Cacodyl Compounds of Bunsen , 2001 .

[27]  Cristina Puzzarini,et al.  Theoretical models on the Cu2O2 torture track: mechanistic implications for oxytyrosinase and small-molecule analogues. , 2006, The journal of physical chemistry. A.

[28]  F. Neese,et al.  Interplay of Correlation and Relativistic Effects in Correlated Calculations on Transition-Metal Complexes: The (Cu2O2)(2+) Core Revisited. , 2011, Journal of chemical theory and computation.

[29]  Jan M. L. Martin,et al.  A simple DFT-based diagnostic for nondynamical correlation , 2013, Theoretical Chemistry Accounts.

[30]  Phosphination of ferrocenium cation with aminophosphines , 2019, Russian Chemical Bulletin.

[31]  Robert J. Harrison,et al.  Parallel Douglas-Kroll Energy and Gradients in NWChem. Estimating Scalar Relativistic Effects Using Douglas-Kroll Contracted Basis Sets. , 2001 .

[32]  V. Barone,et al.  Toward reliable density functional methods without adjustable parameters: The PBE0 model , 1999 .

[33]  P. Taylor,et al.  A diagnostic for determining the quality of single‐reference electron correlation methods , 2009 .

[34]  Martin W. Feyereisen,et al.  Use of approximate integrals in ab initio theory. An application in MP2 energy calculations , 1993 .

[35]  T. H. Dunning Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen , 1989 .

[36]  T. J. KEALY,et al.  A New Type of Organo-Iron Compound , 1951, Nature.

[37]  Jackson,et al.  Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation. , 1992, Physical review. B, Condensed matter.

[38]  K. Pierloot,et al.  A Multiconfigurational Perturbation Theory and Density Functional Theory Study on the Heterolytic Dissociation Enthalpy of First-Row Metallocenes. , 2012, Journal of chemical theory and computation.

[39]  Sebastian Kozuch,et al.  DSD-BLYP: A General Purpose Double Hybrid Density Functional Including Spin Component Scaling and Dispersion Correction , 2010 .

[40]  Kirk A. Peterson,et al.  Accurate correlation consistent basis sets for molecular core–valence correlation effects: The second row atoms Al–Ar, and the first row atoms B–Ne revisited , 2002 .

[41]  K. Peterson,et al.  Basis set limit electronic excitation energies, ionization potentials, and electron affinities for the 3d transition metal atoms: Coupled cluster and multireference methods. , 2006, The Journal of chemical physics.

[42]  K. Pierloot,et al.  Theoretical Study of the Dissociation Energy of First-Row Metallocenium Ions. , 2014, Journal of chemical theory and computation.

[43]  D. Truhlar,et al.  The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals , 2008 .

[44]  Andreas Hansen,et al.  A practicable real-space measure and visualization of static electron-correlation effects. , 2015, Angewandte Chemie.

[45]  H. Gray,et al.  Magnetic susceptibility study of various ferricenium and iron(III) dicarbollide compounds , 1971 .

[46]  Holger Patzelt,et al.  RI-MP2: optimized auxiliary basis sets and demonstration of efficiency , 1998 .

[47]  J. Gauss,et al.  Bond Dissociation Energies for Diatomic Molecules Containing 3d Transition Metals: Benchmark Scalar-Relativistic Coupled-Cluster Calculations for 20 Molecules. , 2017, Journal of chemical theory and computation.

[48]  D. Bernholdt,et al.  Large-scale correlated electronic structure calculations: the RI-MP2 method on parallel computers , 1996 .

[49]  Frank Neese,et al.  Correlated wavefunction methods in bioinorganic chemistry , 2011, JBIC Journal of Biological Inorganic Chemistry.

[50]  Jan M. L. Martin Ab initio total atomization energies of small molecules — towards the basis set limit , 1996 .

[51]  Frank Neese,et al.  Automatic Generation of Auxiliary Basis Sets. , 2017, Journal of chemical theory and computation.

[52]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

[53]  Steven E Wheeler,et al.  Integration Grid Errors for Meta-GGA-Predicted Reaction Energies: Origin of Grid Errors for the M06 Suite of Functionals. , 2010, Journal of chemical theory and computation.

[54]  Nathan J. DeYonker,et al.  Multireference Character for 3d Transition-Metal-Containing Molecules. , 2012, Journal of chemical theory and computation.

[55]  Edward F. Valeev,et al.  A new near-linear scaling, efficient and accurate, open-shell domain-based local pair natural orbital coupled cluster singles and doubles theory. , 2017, The Journal of chemical physics.

[56]  D. Astruc Why is Ferrocene so Exceptional , 2017 .

[57]  Krishnan Raghavachari,et al.  Highly correlated systems. Ionization energies of first row transition metals Sc–Zn , 1989 .

[58]  D. Truhlar,et al.  A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions. , 2006, The Journal of chemical physics.

[59]  Frank Neese,et al.  Sparse maps--A systematic infrastructure for reduced-scaling electronic structure methods. II. Linear scaling domain based pair natural orbital coupled cluster theory. , 2016, The Journal of chemical physics.

[60]  Kirk A Peterson,et al.  Systematically convergent basis sets for transition metals. I. All-electron correlation consistent basis sets for the 3d elements Sc-Zn. , 2005, The Journal of chemical physics.

[61]  A. Wachters,et al.  Gaussian Basis Set for Molecular Wavefunctions Containing Third‐Row Atoms , 1970 .