More Stable Template Localization for an Incremental Focal-Point Approach-Implementation and Application to the Intramolecular Decomposition of Tris-perfluoro-tert-butoxyalane.

We present a new implementation of the template localization for the fully automated and parallizable incremental method, which excludes failures of this important step within the domain-specific basis set approach and thus ensures a higher reliability of the scheme, preserving its very high accuracy. Furthermore, we combine our method with an efficient focal-point ansatz to reach the complete basis set limit and carefully assess this approach for the first time with regard to reaction energies. For a test set of 51 reactions the incremental focal-point method with a basis set of moderate size provides a very high accuracy with respect to the complete basis set limit. That way, we are finally able to apply the scheme as a benchmark method (e.g., for density functionals) in the context of a relevant chemical topic, the intramolecular decomposition of tris-perfluoro-tert-butoxyalane (43 heavy atoms, 352 electrons).

[1]  B. Paulus,et al.  Electron correlation contribution to the N2O/ceria(111) interaction , 2009 .

[2]  F. Weigend,et al.  Efficient use of the correlation consistent basis sets in resolution of the identity MP2 calculations , 2002 .

[3]  I. Krossing,et al.  Synthesis and Application of Strong Brønsted Acids Generated from the Lewis Acid Al(ORF)3 and an Alcohol , 2012 .

[4]  Filipp Furche,et al.  An efficient implementation of second analytical derivatives for density functional methods , 2002 .

[5]  Hermann Stoll,et al.  The correlation energy of crystalline silicon , 1992 .

[6]  Zoltán Rolik,et al.  An efficient linear-scaling CCSD(T) method based on local natural orbitals. , 2013, The Journal of chemical physics.

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

[8]  Marco Häser,et al.  Auxiliary basis sets to approximate Coulomb potentials (Chem. Phys. Letters 240 (1995) 283-290) , 1995 .

[9]  K. Walczak,et al.  Incremental CCSD(T)(F12)|MP2-F12-A Method to Obtain Highly Accurate CCSD(T) Energies for Large Molecules. , 2013, Journal of chemical theory and computation.

[10]  John M. Slattery,et al.  Simple Access to the Non-Oxidizing Lewis superacid PhF --> Al(OR(F))3 (R(F) = C(CF3)3). , 2008, Angewandte Chemie.

[11]  Florian Weigend,et al.  Auxiliary basis sets for main row atoms and transition metals and their use to approximate Coulomb potentials , 1997 .

[12]  Hiromi Nakai Themed issue: Fragment and localized orbital methods in electronic structure theory , 2012 .

[13]  Trygve Helgaker,et al.  Basis-set convergence in correlated calculations on Ne, N2, and H2O , 1998 .

[14]  Joachim Friedrich Localized Orbitals for Incremental Evaluations of the Correlation Energy within the Domain-Specific Basis Set Approach. , 2010, Journal of chemical theory and computation.

[15]  J. Friedrich,et al.  Energy screening for the incremental scheme: application to intermolecular interactions. , 2007, The journal of physical chemistry. A.

[16]  Beate Paulus,et al.  Ab initio calculation of ground-state properties of rare-gas crystals. , 1999 .

[17]  F. Neese,et al.  Efficient and accurate local approximations to coupled-electron pair approaches: An attempt to revive the pair natural orbital method. , 2009, The Journal of chemical physics.

[18]  W. Klopper,et al.  Coupled-cluster theory with simplified linear-r(12) corrections: the CCSD(R12) model. , 2005, The Journal of chemical physics.

[19]  K. Burke,et al.  Rationale for mixing exact exchange with density functional approximations , 1996 .

[20]  H. Stoll,et al.  Local correlation methods for solids: Comparison of incremental and periodic correlation calculations for the argon fcc crystal , 2011 .

[21]  W. D. Allen,et al.  Toward subchemical accuracy in computational thermochemistry: focal point analysis of the heat of formation of NCO and [H,N,C,O] isomers. , 2004, The Journal of chemical physics.

[22]  G. Scuseria,et al.  Comparative assessment of a new nonempirical density functional: Molecules and hydrogen-bonded complexes , 2003 .

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

[24]  Coupled Cluster in Condensed Phase. Part I: Static Quantum Chemical Calculations of Hydrogen Fluoride Clusters. , 2011, Journal of chemical theory and computation.

[25]  S. Grimme,et al.  Towards chemical accuracy for the thermodynamics of large molecules: new hybrid density functionals including non-local correlation effects. , 2006, Physical chemistry chemical physics : PCCP.

[26]  Wei Li,et al.  Local correlation calculations using standard and renormalized coupled-cluster approaches. , 2009, The Journal of chemical physics.

[27]  Doll,et al.  Correlation effects in ionic crystals: The cohesive energy of MgO. , 1995, Physical review. B, Condensed matter.

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

[29]  Michael Dolg,et al.  Implementation and performance of a domain-specific basis set incremental approach for correlation energies: applications to hydrocarbons and a glycine oligomer. , 2008, The Journal of chemical physics.

[30]  Marco Häser,et al.  Auxiliary basis sets to approximate Coulomb potentials , 1995 .

[31]  Hans-Joachim Werner,et al.  Simplified CCSD(T)-F12 methods: theory and benchmarks. , 2009, The Journal of chemical physics.

[32]  M. Head‐Gordon,et al.  A fifth-order perturbation comparison of electron correlation theories , 1989 .

[33]  F. Weigend,et al.  Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy. , 2005, Physical chemistry chemical physics : PCCP.

[34]  Frank Neese,et al.  An efficient and near linear scaling pair natural orbital based local coupled cluster method. , 2013, The Journal of chemical physics.

[35]  R. Ahlrichs,et al.  Efficient molecular numerical integration schemes , 1995 .

[36]  Jirí Cerný,et al.  Benchmark database of accurate (MP2 and CCSD(T) complete basis set limit) interaction energies of small model complexes, DNA base pairs, and amino acid pairs. , 2006, Physical chemistry chemical physics : PCCP.

[37]  Oldamur Hollóczki,et al.  Rearrangement Reactions of Tritylcarbenes: Surprising Ring Expansion and Computational Investigation. , 2015, Chemistry.

[38]  B. Paulus,et al.  First Multireference Correlation Treatment of Bulk Metals. , 2014, Journal of chemical theory and computation.

[39]  P Pulay,et al.  Local Treatment of Electron Correlation , 1993 .

[40]  Manoj K. Kesharwani,et al.  Some Observations on Counterpoise Corrections for Explicitly Correlated Calculations on Noncovalent Interactions. , 2014, Journal of chemical theory and computation.

[41]  Hannah R. Leverentz,et al.  Water 16-mers and hexamers: assessment of the three-body and electrostatically embedded many-body approximations of the correlation energy or the nonlocal energy as ways to include cooperative effects. , 2013, The journal of physical chemistry. A.

[42]  Wei Li,et al.  An efficient implementation of the "cluster-in-molecule" approach for local electron correlation calculations. , 2006, The Journal of chemical physics.

[43]  Trygve Helgaker,et al.  Implementation of the incremental scheme for one-electron first-order properties in coupled-cluster theory. , 2009, The Journal of chemical physics.

[44]  J. Friedrich,et al.  Radical Polymerization of MMA Co-initiated by 2-Phenyloxazoline , 2013 .

[45]  Jun Zhang,et al.  Third-Order Incremental Dual-Basis Set Zero-Buffer Approach for Large High-Spin Open-Shell Systems. , 2015, Journal of chemical theory and computation.

[46]  B. Paulus,et al.  Application of the method of increments to the adsorption of CO on the CeO2(110) surface. , 2008, The Journal of chemical physics.

[47]  I. Krossing,et al.  The Al(ORF)3/H2O/Phosphane [RF = C(CF3)3] System – Protonation of Phosphanes and Absolute Brønsted Acidity , 2013 .

[48]  S. Kuwajima,et al.  Molecular dynamics simulation of supercritical carbon dioxide fluid with the model potential from ab initio molecular orbital calculations , 1996 .

[49]  Hans-Joachim Werner,et al.  Eliminating the domain error in local explicitly correlated second-order Møller-Plesset perturbation theory. , 2008, The Journal of chemical physics.

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

[51]  Wei Li,et al.  A refined cluster-in-molecule local correlation approach for predicting the relative energies of large systems. , 2012, Physical chemistry chemical physics : PCCP.

[52]  D. Tew,et al.  Communications: Accurate and efficient approximations to explicitly correlated coupled-cluster singles and doubles, CCSD-F12. , 2010, The Journal of chemical physics.

[53]  J. Friedrich,et al.  Molecular Dipole Moments within the Incremental Scheme Using the Domain-Specific Basis-Set Approach. , 2016, Journal of chemical theory and computation.

[54]  T. Dunning,et al.  Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions , 1992 .

[55]  Christof Hättig,et al.  Explicitly correlated electrons in molecules. , 2012, Chemical reviews.

[56]  J. Friedrich,et al.  Error analysis of incremental electron correlation calculations and applications to clusters and potential energy surfaces , 2007 .

[57]  I. Krossing,et al.  Synthesis, characterization, and application of two Al(OR(F))3 Lewis superacids. , 2012, Chemistry.

[58]  J. Friedrich,et al.  Evaluation of incremental correlation energies for open-shell systems: application to the intermediates of the 4-exo cyclization, arduengo carbenes and an anionic water cluster. , 2008, The journal of physical chemistry. A.

[59]  Matthew L. Leininger,et al.  The standard enthalpy of formation of CH2 , 2003 .

[60]  T. Crawford,et al.  Incremental evaluation of coupled cluster dipole polarizabilities. , 2015, Physical chemistry chemical physics : PCCP.

[61]  Branislav Jansík,et al.  Linear scaling coupled cluster method with correlation energy based error control. , 2010, The Journal of chemical physics.

[62]  R. Mata,et al.  An incremental correlation approach to excited state energies based on natural transition/localized orbitals. , 2011, The Journal of chemical physics.

[63]  J. Friedrich Incremental Scheme for Intermolecular Interactions: Benchmarking the Accuracy and the Efficiency. , 2012, Journal of chemical theory and computation.

[64]  Hans-Joachim Werner,et al.  An efficient local coupled cluster method for accurate thermochemistry of large systems. , 2011, The Journal of chemical physics.

[65]  Trygve Helgaker,et al.  Molecular Electronic-Structure Theory: Helgaker/Molecular Electronic-Structure Theory , 2000 .

[66]  R. Bartlett,et al.  Natural linear-scaled coupled-cluster theory with local transferable triple excitations: applications to peptides. , 2008, The journal of physical chemistry. A.

[67]  Jun Zhang,et al.  Third-Order Incremental Dual-Basis Set Zero-Buffer Approach: An Accurate and Efficient Way To Obtain CCSD and CCSD(T) Energies. , 2013, Journal of chemical theory and computation.

[68]  Joachim Friedrich,et al.  Incremental CCSD(T)(F12*)|MP2: A Black Box Method To Obtain Highly Accurate Reaction Energies. , 2013, Journal of chemical theory and computation.

[69]  S. Grimme Semiempirical hybrid density functional with perturbative second-order correlation. , 2006, The Journal of chemical physics.

[70]  Rodney J Bartlett,et al.  A natural linear scaling coupled-cluster method. , 2004, The Journal of chemical physics.

[71]  I. Krossing,et al.  Facile access to the pnictocenium ions [Cp*ECl]+ (E = P, As) and [(Cp*)2P]+: chloride ion affinity of Al(OR(F))3. , 2011, Chemistry.

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

[73]  Kirk A Peterson,et al.  Optimized auxiliary basis sets for explicitly correlated methods. , 2008, The Journal of chemical physics.

[74]  Peter Pulay,et al.  Localizability of dynamic electron correlation , 1983 .

[75]  Poul Jørgensen,et al.  The divide-expand-consolidate family of coupled cluster methods: numerical illustrations using second order Møller-Plesset perturbation theory. , 2012, The Journal of chemical physics.

[76]  Seiichiro Ten-no,et al.  Initiation of explicitly correlated Slater-type geminal theory , 2004 .

[77]  Hans-Joachim Werner,et al.  Systematically convergent basis sets for explicitly correlated wavefunctions: the atoms H, He, B-Ne, and Al-Ar. , 2008, The Journal of chemical physics.

[78]  Jun Zhang,et al.  Understanding lanthanoid(III) hydration structure and kinetics by insights from energies and wave functions. , 2014, Inorganic chemistry.

[79]  Klaus Ruedenberg,et al.  Localized Atomic and Molecular Orbitals , 1963 .

[80]  Michael Dolg,et al.  QUANTUM CHEMICAL APPROACH TO COHESIVE PROPERTIES OF NIO , 1997 .

[81]  P. Piecuch,et al.  Multilevel extension of the cluster-in-molecule local correlation methodology: merging coupled-cluster and Møller-Plesset perturbation theories. , 2010, The journal of physical chemistry. A.

[82]  Wang,et al.  Accurate and simple analytic representation of the electron-gas correlation energy. , 1992, Physical review. B, Condensed matter.

[83]  Zoltán Rolik,et al.  A general-order local coupled-cluster method based on the cluster-in-molecule approach. , 2011, The Journal of chemical physics.

[84]  D. Tew,et al.  New correlation factors for explicitly correlated electronic wave functions. , 2005, The Journal of chemical physics.

[85]  Pavel Hobza,et al.  Toward true DNA base-stacking energies: MP2, CCSD(T), and complete basis set calculations. , 2002, Journal of the American Chemical Society.

[86]  C. Bannwarth,et al.  Consistent structures and interactions by density functional theory with small atomic orbital basis sets. , 2015, The Journal of chemical physics.

[87]  Hans W. Horn,et al.  Fully optimized contracted Gaussian basis sets for atoms Li to Kr , 1992 .

[88]  Michael Dolg,et al.  Fully automated implementation of the incremental scheme: application to CCSD energies for hydrocarbons and transition metal compounds. , 2007, The Journal of chemical physics.

[89]  Dimitrios G Liakos,et al.  Improved correlation energy extrapolation schemes based on local pair natural orbital methods. , 2012, The journal of physical chemistry. A.

[90]  Stoll,et al.  Correlation energy of diamond. , 1992, Physical review. B, Condensed matter.

[91]  Hans-Joachim Werner,et al.  An explicitly correlated local coupled cluster method for calculations of large molecules close to the basis set limit. , 2011, The Journal of chemical physics.

[92]  Filipp Furche,et al.  Efficient characterization of stationary points on potential energy surfaces , 2002 .

[93]  Jan Andzelm,et al.  Gaussian Basis Sets for Molecular Calculations , 2012 .

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

[95]  A. Mitrushchenkov,et al.  Assessing the performance of dispersionless and dispersion-accounting methods: helium interaction with cluster models of the TiO2(110) surface. , 2014, The journal of physical chemistry. A.

[96]  D. Tew,et al.  Automated incremental scheme for explicitly correlated methods. , 2010, The Journal of chemical physics.

[97]  A. Mitrushchenkov,et al.  Transferability and accuracy by combining dispersionless density functional and incremental post-Hartree-Fock theories: Noble gases adsorption on coronene/graphene/graphite surfaces. , 2015, The Journal of chemical physics.

[98]  R. Nesbet Atomic Bethe-Goldstone Equations. III. Correlation Energies of Ground States of Be, B, C, N, O, F, and Ne , 1968 .

[99]  P. Fulde,et al.  Ab initio approach to cohesive properties of GdN , 1998 .

[100]  Hans-Joachim Werner,et al.  Local treatment of electron correlation in coupled cluster theory , 1996 .

[101]  Peter Pulay,et al.  Orbital-invariant formulation and second-order gradient evaluation in Møller-Plesset perturbation theory , 1986 .

[102]  Masato Kobayashi,et al.  Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations. , 2009, The Journal of chemical physics.

[103]  Kazuo Kitaura,et al.  Second order Møller-Plesset perturbation theory based upon the fragment molecular orbital method. , 2004, The Journal of chemical physics.

[104]  Joachim Friedrich,et al.  Efficient Calculation of Accurate Reaction Energies-Assessment of Different Models in Electronic Structure Theory. , 2015, Journal of chemical theory and computation.

[105]  Kazuo Kitaura,et al.  Coupled-cluster theory based upon the fragment molecular-orbital method. , 2005, The Journal of chemical physics.

[106]  M. Dolg,et al.  Evaluation of electronic correlation contributions for optical tensors of large systems using the incremental scheme. , 2007, The Journal of chemical physics.

[107]  Dimitrios G Liakos,et al.  Weak Molecular Interactions Studied with Parallel Implementations of the Local Pair Natural Orbital Coupled Pair and Coupled Cluster Methods. , 2011, Journal of chemical theory and computation.

[108]  Frank Neese,et al.  The ORCA program system , 2012 .

[109]  Janos Ladik,et al.  Coupled-cluster studies. II. The role of localization in correlation calculations on extended systems , 1985 .

[110]  B. Paulus Wave-function-based ab initio correlation treatment for the buckminsterfullerene C60 , 2004 .

[111]  B. Kirchner,et al.  Importance of structural motifs in liquid hydrogen fluoride. , 2011, Chemphyschem : a European journal of chemical physics and physical chemistry.

[112]  Jan M. L. Martin,et al.  DSD-PBEP86: in search of the best double-hybrid DFT with spin-component scaled MP2 and dispersion corrections. , 2011, Physical chemistry chemical physics : PCCP.

[113]  B. Kirchner,et al.  Coupled Cluster in Condensed Phase. Part II: Liquid Hydrogen Fluoride from Quantum Cluster Equilibrium Theory. , 2011, Journal of chemical theory and computation.

[114]  Beate Paulus,et al.  Ab initio coupled-cluster calculations for the fcc and hcp structures of rare-gas solids , 2000 .

[115]  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.

[116]  I. Krossing,et al.  A Janus-headed Lewis superacid: simple access to, and first application of Me3Si-F-Al(OR(F))3. , 2014, Chemistry.

[117]  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.

[118]  H. Stoll On the correlation energy of graphite , 1992 .

[119]  Dimitrios G Liakos,et al.  Efficient and accurate approximations to the local coupled cluster singles doubles method using a truncated pair natural orbital basis. , 2009, The Journal of chemical physics.

[120]  Roman M. Balabin Conformational equilibrium in glycine: Focal-point analysis and ab initio limit , 2009 .

[121]  D. Truhlar,et al.  What are the most efficient basis set strategies for correlated wave function calculations of reaction energies and barrier heights? , 2012, The Journal of chemical physics.

[122]  George C Schatz,et al.  Highly accurate first-principles benchmark data sets for the parametrization and validation of density functional and other approximate methods. Derivation of a robust, generally applicable, double-hybrid functional for thermochemistry and thermochemical kinetics. , 2008, The journal of physical chemistry. A.

[123]  Wim Klopper,et al.  Explicitly correlated second-order Møller–Plesset methods with auxiliary basis sets , 2002 .

[124]  Henry F. Schaefer,et al.  In pursuit of the ab initio limit for conformational energy prototypes , 1998 .

[125]  Michael Dolg,et al.  Quantum chemical ab initio calculations of the magnetic interaction in alkalithioferrates(III) , 1997 .

[126]  S. F. Boys,et al.  Canonical Configurational Interaction Procedure , 1960 .

[127]  J Grant Hill,et al.  Correlation consistent basis sets for molecular core-valence effects with explicitly correlated wave functions: the atoms B-Ne and Al-Ar. , 2010, The Journal of chemical physics.

[128]  Georg Hetzer,et al.  Low-order scaling local electron correlation methods. I. Linear scaling local MP2 , 1999 .

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

[130]  Roman M. Balabin,et al.  Tautomeric equilibrium and hydrogen shifts in tetrazole and triazoles: focal-point analysis and ab initio limit. , 2009, The Journal of chemical physics.

[131]  Hans-Joachim Werner,et al.  Explicitly correlated RMP2 for high-spin open-shell reference states. , 2008, The Journal of chemical physics.

[132]  M. Persico,et al.  Quasi-bond orbitals from maximum-localization hybrids for ab initio CI calculations , 1995 .

[133]  Hans W. Horn,et al.  ELECTRONIC STRUCTURE CALCULATIONS ON WORKSTATION COMPUTERS: THE PROGRAM SYSTEM TURBOMOLE , 1989 .

[134]  Christof Hättig,et al.  Quintuple-ζ quality coupled-cluster correlation energies with triple-ζ basis sets , 2007 .

[135]  Wim Klopper,et al.  Non-covalent Interactions of CO₂ with Functional Groups of Metal-Organic Frameworks from a CCSD(T) Scheme Applicable to Large Systems. , 2015, Journal of chemical theory and computation.

[136]  Martin Schütz,et al.  Low-order scaling local electron correlation methods. III. Linear scaling local perturbative triples correction (T) , 2000 .

[137]  F. Neese,et al.  Efficient and accurate local single reference correlation methods for high-spin open-shell molecules using pair natural orbitals. , 2011, The Journal of chemical physics.

[138]  K. Fink,et al.  The method of local increments for the calculation of adsorption energies of atoms and small molecules on solid surfaces. Part I. A single Cu atom on the polar surfaces of ZnO. , 2009, Physical chemistry chemical physics : PCCP.

[139]  Roman M. Balabin Conformational equilibrium in alanine: Focal-point analysis and ab initio limit , 2011 .

[140]  Peter Pulay,et al.  Local configuration interaction: An efficient approach for larger molecules , 1985 .

[141]  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 .

[142]  Peter Pulay,et al.  Fourth‐order Mo/ller–Plessett perturbation theory in the local correlation treatment. I. Method , 1987 .

[143]  Marcin Ziółkowski,et al.  A Locality Analysis of the Divide-Expand-Consolidate Coupled Cluster Amplitude Equations. , 2011, Journal of chemical theory and computation.

[144]  R. Bartlett,et al.  Transferability in the natural linear-scaled coupled-cluster effective Hamiltonian approach: Applications to dynamic polarizabilities and dispersion coefficients. , 2008, The Journal of chemical physics.

[145]  G. A. Petersson,et al.  Uniformly convergent n-tuple-zeta augmented polarized (nZaP) basis sets for complete basis set extrapolations. I. Self-consistent field energies. , 2008, The Journal of chemical physics.

[146]  F. Neese,et al.  Efficient, approximate and parallel Hartree–Fock and hybrid DFT calculations. A ‘chain-of-spheres’ algorithm for the Hartree–Fock exchange , 2009 .

[147]  Kirk A. Peterson,et al.  Approximating the basis set dependence of coupled cluster calculations: Evaluation of perturbation theory approximations for stable molecules , 2000 .

[148]  R. Leung-Toung,et al.  Tautomeric equilibrium and hydrogen shifts of tetrazole in the gas phase and in solution , 1993 .

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

[150]  V. Staemmler Method of local increments for the calculation of adsorption energies of atoms and small molecules on solid surfaces. 2. CO/MgO(001). , 2011, The journal of physical chemistry. A.

[151]  Lori A Burns,et al.  Basis set convergence of the coupled-cluster correction, δ(MP2)(CCSD(T)): best practices for benchmarking non-covalent interactions and the attendant revision of the S22, NBC10, HBC6, and HSG databases. , 2011, The Journal of chemical physics.

[152]  K. Doll,et al.  Approaching the bulk limit with finite cluster calculations using local increments: the case of LiH. , 2012, The Journal of chemical physics.

[153]  Hans-Joachim Werner,et al.  Local explicitly correlated coupled-cluster methods: efficient removal of the basis set incompleteness and domain errors. , 2009, The Journal of chemical physics.

[154]  Hans-Joachim Werner,et al.  Low-order scaling local electron correlation methods. IV. Linear scaling local coupled-cluster (LCCSD) , 2001 .

[155]  Yang,et al.  Direct calculation of electron density in density-functional theory. , 1991, Physical review letters.

[156]  Christof Hättig,et al.  The MP2‐F12 method in the TURBOMOLE program package , 2011, J. Comput. Chem..

[157]  Dana Vuzman,et al.  Double-hybrid functionals for thermochemical kinetics. , 2008, The journal of physical chemistry. A.

[158]  R. Nesbet Atomic Bethe‐Goldstone Equations , 2007 .

[159]  Kazuo Kitaura,et al.  Exploring chemistry with the fragment molecular orbital method. , 2012, Physical chemistry chemical physics : PCCP.

[160]  A. Köhn Explicitly correlated coupled-cluster theory using cusp conditions. II. Treatment of connected triple excitations. , 2010, The Journal of chemical physics.

[161]  I. Krossing,et al.  From unsuccessful H2-activation with FLPs containing B(Ohfip)3 to a systematic evaluation of the Lewis acidity of 33 Lewis acids based on fluoride, chloride, hydride and methyl ion affinities. , 2015, Dalton transactions.

[162]  Jun Zhang,et al.  Approaching the complete basis set limit of CCSD(T) for large systems by the third-order incremental dual-basis set zero-buffer F12 method. , 2014, The Journal of chemical physics.

[163]  Hans-Joachim Werner,et al.  Extrapolating MP2 and CCSD explicitly correlated correlation energies to the complete basis set limit with first and second row correlation consistent basis sets. , 2009, The Journal of chemical physics.

[164]  R. Nesbet Atomic Bethe-Goldstone Equations. II. The Ne Atom , 1967 .

[165]  Beate Paulus,et al.  On the accuracy of correlation-energy expansions in terms of local increments. , 2005, The Journal of chemical physics.

[166]  Seiichiro Ten-no,et al.  Explicitly correlated second order perturbation theory: introduction of a rational generator and numerical quadratures. , 2004, The Journal of chemical physics.

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

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

[169]  B. Paulus,et al.  Electron correlation effects on structural and cohesive properties of closo-hydroborate dianions (BnHn)2− (n= 5–12) and B4H4 , 2001 .