The coupled pair functional (CPF). A size consistent modification of the CI(SD) based on an energy functional

A modification of the CI(SD) energy functional is proposed which leads to size consistency through the use of partial normalization denominators. The method is derived from simple principles: correct description of separated two‐electron systems and certain invariance requirements. This approach is connected to CEPA‐1. The theoretical framework allows for a simple rationalization of connections between CI(SD), CEPA‐1, and the linear version of CP–MET. As demonstrative applications we report comparisons with full CI calculations for BH, NH3, H2O, HF, and Re, De for F2, N2, O2, Cl2, NO, and CO obtained for very large basis sets.

[1]  M. Hernandez,et al.  A semi‐empirical MO theory for ionization potentials and electron affinities , 1977 .

[2]  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 .

[3]  R. Phillips,et al.  Approaching the full CI limit with MRD CI calculations: The X 1A1 state of water with a double-zeta basis , 1984 .

[4]  P. Wormer,et al.  Relationship between configuration interaction and coupled cluster approaches , 1982 .

[5]  H. Nakatsuji,et al.  Electronic structure of dirhodium tetracarboxylate complexes by the AB initio SCF MO method , 1981 .

[6]  E. Davidson The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices , 1975 .

[7]  R. Ahlrichs,et al.  Many body perturbation calculations and coupled electron pair models , 1979 .

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

[9]  S. Epstein,et al.  Determination of Molecular Properties by the Method of Moments , 1970 .

[10]  N. H. March,et al.  The many-body problem in quantum mechanics , 1968 .

[11]  O. Sǐnanoğlu,et al.  MANY-ELECTRON THEORY OF ATOMS AND MOLECULES. I. SHELLS, ELECTRON PAIRS VS MANY-ELECTRON CORRELATIONS , 1962 .

[12]  Bernard R. Brooks,et al.  Analytic gradients from correlated wave functions via the two‐particle density matrix and the unitary group approach , 1980 .

[13]  G. D. Purvis,et al.  Comparison of MBPT and coupled-cluster methods with full CI. Importance of triplet excitation and infinite summations☆ , 1983 .

[14]  W. Kutzelnigg,et al.  Comparison of CEPA and CP-MET methods , 1980 .

[15]  Bernard Pullman,et al.  The World of Quantum Chemistry , 1974 .

[16]  P. Siegbahn Multiple substitution effects in configuration interaction calculations , 1978 .

[17]  Wilfried Meyer,et al.  PNO–CI Studies of electron correlation effects. I. Configuration expansion by means of nonorthogonal orbitals, and application to the ground state and ionized states of methane , 1973 .

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

[19]  J. Noga,et al.  Fourth-order MB-RSPT calculations of the spectroscopic constants and potential energy curve of F2 , 1983 .

[20]  J. Pople,et al.  Derivative studies in configuration–interaction theory , 1980 .

[21]  H. Schaefer Methods of Electronic Structure Theory , 1977 .

[22]  Nicholas C. Handy,et al.  Exact solution (within a double-zeta basis set) of the schrodinger electronic equation for water , 1981 .

[23]  K. Hirao,et al.  Cluster expansion of the wavefunction. Comparison with full CI results , 1983 .

[24]  J. Malrieu On the size consistence of a few approximate multireference CI schemes , 1982 .

[25]  A. C. Hurley Electron correlation in small molecules , 1976 .

[26]  F. B. Brown,et al.  Multireference configuration interaction treatment of potential energy surfaces: symmetric dissociation of H2O in a double-zeta basis , 1984 .

[27]  V. R. Saunders,et al.  On methods for converging open-shell Hartree-Fock wave-functions , 1974 .

[28]  N. Handy,et al.  Full CI calculations on BH, H2O, NH3, and HF , 1983 .