Direct one‐index transformations in multiconfiguration response calculations

The evaluation of gradient vectors of a general operator with one‐index, double‐one‐index, or higher‐order one‐index transformed integrals is a key operation in multiconfiguration response theory calculations. We describe an integral‐driven direct algorithm that carries out this operation efficiently without pretransforming the integrals. The use of this algorithm leads to a considerable reduction in disk space and timing. © 1994 by John Wiley & Sons, Inc.

[1]  H. Monkhorst,et al.  Some aspects of the time-dependent coupled-cluster approach to dynamic response functions , 1983 .

[2]  J. Nichols,et al.  Photoionization cross sections involving an explicitly correlated initial state: Combination of multiconfigurational linear response and the stieltjes—tchebycheff moment theory , 1986 .

[3]  J. Olsen,et al.  Multiconfigurational quadratic response functions for singlet and triplet perturbations: The phosphorescence lifetime of formaldehyde , 1992 .

[4]  P. Jørgensen,et al.  A multiconfigurational time-dependent hartree-fock approach , 1979 .

[5]  J. Almlöf,et al.  Principles for a direct SCF approach to LICAO–MOab‐initio calculations , 1982 .

[6]  B. T. Pickup Theory and Computation of Molecular Properties , 1992 .

[7]  J. Olsen,et al.  Linear and nonlinear response functions for an exact state and for an MCSCF state , 1985 .

[8]  B. Roos,et al.  A new method for large-scale Cl calculations , 1972 .

[9]  Poul Jo,et al.  An order analysis of the particle–hole propagator , 1977 .

[10]  P. Jørgensen,et al.  Large scale random phase calculations for direct self-consistent field wavefunctions , 1993 .

[11]  H. Ågren,et al.  Direct atomic orbital based self‐consistent‐field calculations of nonlinear molecular properties. Application to the frequency dependent hyperpolarizability of para‐nitroaniline , 1993 .

[12]  Jeffrey A. Nichols,et al.  Direct atomic‐orbital‐based time‐dependent Hartree–Fock calculations of frequency‐dependent polarizabilities , 1992 .

[13]  Müller-Plathe,et al.  Perturbative-polarization-propagator study of the photoionization cross section of the water molecule. , 1989, Physical review. A, General physics.

[14]  J. Olsen,et al.  Quadratic response functions for a multiconfigurational self‐consistent field wave function , 1992 .

[15]  Hans Ågren,et al.  MC SCF optimization using the direct, restricted step, second-order norm-extended optimization method , 1984 .

[16]  G. Scuseria,et al.  Spin–spin coupling constants of CO and N2 , 1987 .