Renormalized CCSD(T) and CCSD(TQ) approaches: Dissociation of the N2 triple bond

The recently proposed renormalized and completely renormalized CCSD(T) and CCSD(TQ) methods, which can be viewed as generalizations of the noniterative perturbative CCSD(T) and CCSD(TQf) schemes and which result from the more general method of moments of coupled-cluster equations, are applied to the dissociation of the ground-state N2 molecule. It is shown that the renormalized and completely renormalized CCSD(T) and CCSD(TQ) methods provide significantly better results for large N–N separations than their unrenormalized CCSD(T) and CCSD(TQf) counterparts.

[1]  P. Piecuch,et al.  Molecular quadrupole moment functions of HF and N2. I. Ab initio linear‐response coupled‐cluster results , 1996 .

[2]  S. Kucharski,et al.  Coupled-cluster methods with internal and semi-internal triply excited clusters: Vibrational spectrum of the HF molecule , 1999 .

[3]  Josef Paldus,et al.  Orthogonally spin‐adapted state‐universal coupled‐cluster formalism: Implementation of the complete two‐reference theory including cubic and quartic coupling terms , 1994 .

[4]  R. Bartlett,et al.  Towards a full CCSDT model for electron correlation. CCSDT-n models , 1987 .

[5]  R. Bartlett,et al.  An efficient way to include connected quadruple contributions into the coupled cluster method , 1998 .

[6]  R. Bartlett,et al.  The full CCSDT model for molecular electronic structure , 1987 .

[7]  R. Bartlett,et al.  Triple excitations in coupled‐cluster theory: Energies and analytical derivatives , 1993 .

[8]  Josef Paldus,et al.  A Critical Assessment of Coupled Cluster Method in Quantum Chemistry , 2007 .

[9]  P. Piecuch,et al.  BREAKING BONDS WITH THE STATE-SELECTIVE MULTIREFERENCE COUPLED-CLUSTER METHOD EMPLOYING THE SINGLE-REFERENCE FORMALISM , 1995 .

[10]  J. Paldus,et al.  Reduced multireference couple cluster method. II. Application to potential energy surfaces of HF, F2, and H2O , 1998 .

[11]  T. H. Dunning Gaussian Basis Functions for Use in Molecular Calculations. III. Contraction of (10s6p) Atomic Basis Sets for the First‐Row Atoms , 1970 .

[12]  J. Cizek On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell-Type Expansion Using Quantum-Field Theoretical Methods , 1966 .

[13]  Josef Paldus,et al.  Orthogonally spin-adapted coupled-cluster equations involving singly and doubly excited clusters. Comparison of different procedures for spin-adaptation , 1989 .

[14]  Rodney J. Bartlett,et al.  Convergence of the coupled-cluster singles, doubles and triples method , 1988 .

[15]  P. Piecuch,et al.  Method of moments approach and coupled cluster theory , 1991 .

[16]  R. Bartlett,et al.  A study of Be2 with many‐body perturbation theory and a coupled‐cluster method including triple excitations , 1984 .

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

[18]  Ludwik Adamowicz,et al.  STATE-SELECTIVE MULTIREFERENCE COUPLED-CLUSTER THEORY EMPLOYING THE SINGLE-REFERENCE FORMALISM : IMPLEMENTATION AND APPLICATION TO THE H8 MODEL SYSTEM , 1994 .

[19]  R. Bartlett,et al.  Coupled-cluster methods that include connected quadruple excitations, T4: CCSDTQ-1 and Q(CCSDT) , 1989 .

[20]  K. Kowalski,et al.  Physical and mathematical content of coupled-cluster equations. IV. Impact of approximations to the cluster operator on the structure of solutions , 1999 .

[21]  Ludwik Adamowicz,et al.  A state-selective multireference coupled-cluster theory employing the single-reference formalism , 1993 .

[22]  R. Bartlett Many-Body Perturbation Theory and Coupled Cluster Theory for Electron Correlation in Molecules , 1981 .

[23]  S. J. Cole,et al.  Towards a full CCSDT model for electron correlation , 1985 .

[24]  R. Bartlett,et al.  Recursive intermediate factorization and complete computational linearization of the coupled-cluster single, double, triple, and quadruple excitation equations , 1991 .

[25]  Rodney J. Bartlett,et al.  T5 operator in coupled cluster calculations , 2000 .

[26]  R. Bartlett,et al.  The description of N2 and F2 potential energy surfaces using multireference coupled cluster theory , 1987 .

[27]  Karol Kowalski,et al.  The method of moments of coupled-cluster equations and the renormalized CCSD[T], CCSD(T), CCSD(TQ), and CCSDT(Q) approaches , 2000 .

[28]  Clifford E. Dykstra,et al.  Advanced theories and computational approaches to the electronic structure of molecules , 1984 .

[29]  N. Oliphant,et al.  Coupled‐cluster method truncated at quadruples , 1991 .

[30]  Ludwik Adamowicz,et al.  The implementation of the multireference coupled‐cluster method based on the single‐reference formalism , 1992 .

[31]  P. Löwdin,et al.  New Horizons of Quantum Chemistry , 1983 .

[32]  Josef Paldus,et al.  Coupled cluster approaches with an approximate account of triexcitations and the optimized inner projection technique , 1990, Physical review. B, Condensed matter.

[33]  R. Bartlett,et al.  Coupled-cluster methods correct through sixth order , 1993 .

[34]  J. Paldus,et al.  DISSOCIATION OF N2 TRIPLE BOND : A REDUCED MULTIREFERENCE CCSD STUDY , 1998 .

[35]  R. Bartlett,et al.  The coupled‐cluster single, double, triple, and quadruple excitation method , 1992 .

[36]  S. J. Cole,et al.  Comparison of MBPT and coupled cluster methods with full CI. II. Polarized basis sets , 1987 .

[37]  Mark S. Gordon,et al.  General atomic and molecular electronic structure system , 1993, J. Comput. Chem..

[38]  P. Piecuch,et al.  Improved computational strategy for the state‐selective coupled‐cluster theory with semi‐internal triexcited clusters: Potential energy surface of the HF molecule , 1995 .

[39]  Rodney J. Bartlett,et al.  Coupled-cluster methods with internal and semi-internal triply and quadruply excited clusters: CCSDt and CCSDtq approaches , 1999 .

[40]  R. Bartlett,et al.  Erratum: A coupled cluster approach with triple excitations [J. Chem. Phys. 81, 5906 (1984)] , 1985 .

[41]  L. Kantorovich,et al.  Approximate methods of higher analysis , 1960 .

[42]  Josef Paldus,et al.  Reduced multireference CCSD method: An effective approach to quasidegenerate states , 1997 .

[43]  Henry F. Schaefer,et al.  A new implementation of the full CCSDT model for molecular electronic structure , 1988 .