Doubly contracted CI method

An approximate so-called doubly contracted CI method is proposed. In this method the contraction of configurations is performed not only over the external but also over the doubly occupied orbital space by the use of perturbation theory. Examples calculated based on the doubly contracted method show that the dimension of a CI space is drastically reduced and the computation time is reduced by an order of magnitude. The accuracy of the method is tested by calculating the multiplet splitting of vinylnitrene and potential curves of nitrogen molecule.

[1]  Peter Pulay,et al.  Local configuration interaction: An efficient approach for larger molecules , 1985 .

[2]  C. Cramer,et al.  Multireference configuration interaction and second-order perturbation theory calculations for the 1 3A , 1996 .

[3]  Paul H. Krupenie,et al.  The spectrum of molecular nitrogen , 1977 .

[4]  P. Jeffrey Hay,et al.  The structure and bonding of F2O2 , 1987 .

[5]  T. Martínez,et al.  LOCAL WEAK PAIRS SPECTRAL AND PSEUDOSPECTRAL SINGLES AND DOUBLES CONFIGURATION INTERACTION , 1996 .

[6]  Robert J. Harrison,et al.  Parallel internally contracted multireference configuration interaction , 1998 .

[7]  S. Peyerimhoff,et al.  CI method for the study of general molecular potentials , 1968 .

[8]  Gg Balint-Kurti,et al.  Lecture notes in Chemistry , 2000 .

[9]  Zhiyong Zhang,et al.  New realization of loop driven direct CI , 1992 .

[10]  Timothy J. Lee Theory for externally contracted configuration interaction energy gradients , 1987 .

[11]  Zhengting Gan,et al.  Hole–particle correspondence in CI calculations , 2003 .

[12]  Enrico Clementi,et al.  Modern Techniques in Computational Chemistry: MOTECC™ -89 , 1899 .

[13]  Josef Paldus,et al.  Group theoretical approach to the configuration interaction and perturbation theory calculations for atomic and molecular systems , 1974 .

[14]  J. Murrell,et al.  Molecular Potential Energy Functions , 1985 .

[15]  Per E. M. Siegbahn,et al.  The externally contracted CI method applied to N2 , 1983 .

[16]  Michael Hanrath,et al.  New algorithms for an individually selecting MR-CI program , 1997 .

[17]  Emily A. Carter,et al.  Multi-reference weak pairs local configuration interaction: efficient calculations of bond breaking , 2001 .

[18]  P. Knowles,et al.  An efficient internally contracted multiconfiguration–reference configuration interaction method , 1988 .

[19]  Zhengting Gan,et al.  An improved externally contracted CI method , 1999 .

[20]  Per E. M. Siegbahn,et al.  Generalizations of the direct CI method based on the graphical unitary group approach. II. Single and double replacements from any set of reference configurations , 1980 .

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