General second‐order MCSCF theory for large CI expansions

Second‐order MCSCF theory is presented in a fashion which is capable of treating large CI expansions. This formalism is then extended to encompass a state‐average MCSCF procedure. Sample calculations on Mo2 and the ethyl radical, which involve 1698 and 2302 CSFs, respectively, are presented and a number of approximate schemes discussed.

[1]  P. Siegbahn Large scale contracted MC–CI calculations on acetylene and its dissociation into two CH(2Π) radicals , 1981 .

[2]  Klaus Ruedenberg,et al.  MCSCF optimization through combined use of natural orbitals and the brillouin–levy–berthier theorem , 1979 .

[3]  Danny L. Yeager,et al.  Convergency studies of second and approximate second order multiconfigurational Hartree−Fock procedures , 1979 .

[4]  Bowen Liu,et al.  A second order MCSCF method for large CI expansions , 1981 .

[5]  G. Das Multiconfiguration self‐consistent field (MCSCF) theory for excited states , 1973 .

[6]  Per E. M. Siegbahn,et al.  Generalizations of the direct CI method based on the graphical unitary group approach. I. Single replacements from a complete CI root function of any spin, first order wave functions , 1979 .

[7]  W. Goddard,et al.  Orbital optimization in electronic wave functions; equations for quadratic and cubic convergence of general multiconfiguration wave functions , 1976 .

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

[9]  Hans-Joachim Werner,et al.  A quadratically convergent multiconfiguration–self‐consistent field method with simultaneous optimization of orbitals and CI coefficients , 1980 .

[10]  Bernard R. Brooks,et al.  A multiconfiguration self‐consistent‐field formalism utilizing the two‐particle density matrix and the unitary group approach , 1980 .

[11]  Poul Jo,et al.  Optimization of orbitals for multiconfigurational reference states , 1978 .

[12]  M. Dupuis Energy derivatives for configuration interaction wave functions , 1981 .

[13]  Hans-Joachim Werner,et al.  A quadratically convergent MCSCF method for the simultaneous optimization of several states , 1981 .

[14]  M. Yoshimine,et al.  The alchemy configuration interaction method. I. The symbolic matrix method for determining elements of matrix operators , 1981 .

[15]  Byron H. Lengsfield,et al.  General second order MCSCF theory: A density matrix directed algorithm , 1980 .

[16]  B. Roos,et al.  A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach , 1980 .

[17]  Juergen Hinze,et al.  LiH Potential Curves and Wavefunctions for X 1Σ+, A 1Σ+, B 1Π, 3Σ+, and 3Π , 1972 .

[18]  Isaiah Shavitt,et al.  Comparison of the convergence characteristics of some iterative wave function optimization methods , 1982 .

[19]  B. Roos,et al.  The complete active space SCF (CASSCF) method in a Newton–Raphson formulation with application to the HNO molecule , 1981 .