Coupled-cluster method tailored by configuration interaction.

A method is presented which combines coupled cluster (CC) and configuration interaction (CI) to describe accurately potential-energy surfaces (PESs). We use the cluster amplitudes extracted from the complete active space CI calculation to manipulate nondynamic correlation to tailor a single reference CC theory (TCC). The dynamic correlation is then incorporated through the framework of the CC method. We illustrate the method by describing the PESs for HF, H2O, and N2 molecules which involve single, double, and triple bond-breaking processes. To the dissociation limit, this approach yields far more accurate PESs than those obtained from the conventional CC method and the additional computational cost is negligible compared with the CC calculation steps. We anticipate that TCC offers an effective and generally applicable approach for many problems.

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

[2]  L. Stolarczyk Complete active space coupled-cluster method. Extension of single-reference coupled-cluster method using the CASSCF wavefunction , 1994 .

[3]  Valence bond corrected single reference coupled cluster approach , 1994 .

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

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

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

[7]  John D. Watts,et al.  Non-iterative fifth-order triple and quadruple excitation energy corrections in correlated methods , 1990 .

[8]  J. Paldus,et al.  Single‐reference CCSD approach employing three‐ and four‐body CAS SCF corrections: A preliminary study of a simple model , 1997 .

[9]  H. Monkhorst,et al.  Coupled-cluster method for multideterminantal reference states , 1981 .

[10]  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 .

[11]  Rodney J. Bartlett,et al.  Many‐body perturbation theory, coupled‐pair many‐electron theory, and the importance of quadruple excitations for the correlation problem , 1978 .

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

[13]  K. Kowalski,et al.  Approximate coupled cluster methods based on a split-amplitude strategy , 1996 .

[14]  P. Pulay Improved SCF convergence acceleration , 1982 .

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

[16]  J. Paldus,et al.  Truncated version of the reduced multireference coupled‐cluster method with perturbation selection of higher than pair clusters , 2000 .

[17]  G. Herzberg,et al.  Constants of diatomic molecules , 1979 .

[18]  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 .

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

[20]  Rodney J. Bartlett,et al.  COUPLED-CLUSTER THEORY: AN OVERVIEW OF RECENT DEVELOPMENTS , 1995 .

[21]  D. L. Gray,et al.  The anharmonic force field and equilibrium structure of methane , 1979 .

[22]  J. Paldus,et al.  Energy versus amplitude corrected coupled-cluster approaches. II. Breaking the triple bond , 2001 .

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

[24]  P. Pulay Convergence acceleration of iterative sequences. the case of scf iteration , 1980 .

[25]  Josef Paldus,et al.  Approximate account of the connected quadruply excited clusters in the coupled-pair many-electron theory , 1984 .

[26]  Leszek Meissner,et al.  A coupled‐cluster method for quasidegenerate states , 1988 .

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

[28]  Rodney J. Bartlett,et al.  The reduced linear equation method in coupled cluster theory. , 1981 .

[29]  Stephen Wilson,et al.  Methods in Computational Chemistry , 1987 .

[30]  Stolarczyk,et al.  Coupled-cluster method in Fock space. I. General formalism. , 1985, Physical review. A, General physics.

[31]  Josef Paldus,et al.  Correlation Problems in Atomic and Molecular Systems. IV. Extended Coupled-Pair Many-Electron Theory and Its Application to the B H 3 Molecule , 1972 .

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

[33]  P. Bunker,et al.  A precise solution of the rotation bending Schrödinger equation for a triatomic molecule with application to the water molecule , 1979 .

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

[35]  Miroslav Urban,et al.  Electron Correlation in Molecules , 1987 .

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

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

[38]  J. Paldus,et al.  Valence bond corrected single reference coupled cluster approach , 1994 .

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

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

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

[42]  S. Chattopadhyay,et al.  A state-specific approach to multireference coupled electron-pair approximation like methods: development and applications. , 2004, The Journal of chemical physics.

[43]  Josef Paldus,et al.  Correlation problems in atomic and molecular systems III. Rederivation of the coupled-pair many-electron theory using the traditional quantum chemical methodst†‡§ , 1971 .

[44]  J. Paldus,et al.  Perturbatively selected CI as an optimal source for externally corrected CCSD , 1999 .

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

[46]  R. Bartlett,et al.  A coupled cluster approach with triple excitations , 1984 .

[47]  Debashis Mukherjee,et al.  Applications of a non-perturbative many-body formalism to general open-shell atomic and molecular problems: calculation of the ground and the lowest π-π* singlet and triplet energies and the first ionization potential of trans-butadiene , 1977 .

[48]  Ian M. Mills,et al.  Anharmonic force constant calculations , 1972 .

[49]  R. Bartlett,et al.  A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples , 1982 .