Highly correlated configuration interaction (CI) wavefunctions going beyond the simple singles and doubles (CISD) model space can provide very reliable potential energy surfaces, describe electronic excited states, and yield benchmark energies and molecular properties for use in calibrating more approximate methods. Unfortunately, such wavefunctions are also notoriously difficult to evaluate due to their extreme computational demands. The dimension of a full CI procedure, which represents the exact solution of the electronic Schr�dinger equation for a fixed one-particle basis set, grows factorially with the number of electrons and basis functions. For very large configuration spaces, the number of CI coupling coefficients becomes prohibitively large to store on disk; these coefficients must be evaluated as needed in a so-called direct CI procedure. Work done by several groups since 1980 has focused on using Slater determinants rather than spin (S2) eigenfunctions because coupling coefficients are easier to compute with the former. We review the fundamentals of the configuration interaction method and discuss various determinant-based CI algorithms. Additionally, we consider some applications of highly correlated CI methods.
%0 Book Section
%1 Sherrill1999143
%A Sherrill, C. David
%A Schaefer III, Henry F.
%B Advances in Quantum Chemistry
%C London
%D 1999
%E Lowdin, Michael C. Zerner Per-Olov
%E Sabin, Erkki Brandas John R.
%I Academic Press
%K chemistry configuration interaction quantum review unread
%P 143 - 269
%R 10.1016/S0065-3276(08)60532-8
%T The Configuration Interaction Method: Advances in Highly Correlated Approaches
%U http://www.sciencedirect.com/science/article/pii/S0065327608605328
%V 34
%X Highly correlated configuration interaction (CI) wavefunctions going beyond the simple singles and doubles (CISD) model space can provide very reliable potential energy surfaces, describe electronic excited states, and yield benchmark energies and molecular properties for use in calibrating more approximate methods. Unfortunately, such wavefunctions are also notoriously difficult to evaluate due to their extreme computational demands. The dimension of a full CI procedure, which represents the exact solution of the electronic Schr�dinger equation for a fixed one-particle basis set, grows factorially with the number of electrons and basis functions. For very large configuration spaces, the number of CI coupling coefficients becomes prohibitively large to store on disk; these coefficients must be evaluated as needed in a so-called direct CI procedure. Work done by several groups since 1980 has focused on using Slater determinants rather than spin (S2) eigenfunctions because coupling coefficients are easier to compute with the former. We review the fundamentals of the configuration interaction method and discuss various determinant-based CI algorithms. Additionally, we consider some applications of highly correlated CI methods.
@incollection{Sherrill1999143,
abstract = {Highly correlated configuration interaction (CI) wavefunctions going beyond the simple singles and doubles (CISD) model space can provide very reliable potential energy surfaces, describe electronic excited states, and yield benchmark energies and molecular properties for use in calibrating more approximate methods. Unfortunately, such wavefunctions are also notoriously difficult to evaluate due to their extreme computational demands. The dimension of a full CI procedure, which represents the exact solution of the electronic Schr�dinger equation for a fixed one-particle basis set, grows factorially with the number of electrons and basis functions. For very large configuration spaces, the number of CI coupling coefficients becomes prohibitively large to store on disk; these coefficients must be evaluated as needed in a so-called direct CI procedure. Work done by several groups since 1980 has focused on using Slater determinants rather than spin (S2) eigenfunctions because coupling coefficients are easier to compute with the former. We review the fundamentals of the configuration interaction method and discuss various determinant-based CI algorithms. Additionally, we consider some applications of highly correlated CI methods.},
added-at = {2011-07-23T04:14:06.000+0200},
address = {London},
author = {Sherrill, C. David and Schaefer III, Henry F.},
biburl = {https://www.bibsonomy.org/bibtex/272e0c6bbeec74b0b06c5653fd962ae80/drmatusek},
doi = {10.1016/S0065-3276(08)60532-8},
editor = {Lowdin, Michael C. Zerner Per-Olov and Sabin, Erkki Brandas John R.},
interhash = {6c51675bf0896428d9a30c7ddd0fe9c2},
intrahash = {72e0c6bbeec74b0b06c5653fd962ae80},
issn = {0065-3276},
keywords = {chemistry configuration interaction quantum review unread},
pages = {143 - 269},
publisher = {Academic Press},
series = {Advances in Quantum Chemistry},
timestamp = {2013-08-03T16:06:07.000+0200},
title = {The Configuration Interaction Method: Advances in Highly Correlated Approaches},
url = {http://www.sciencedirect.com/science/article/pii/S0065327608605328},
volume = 34,
year = 1999
}