Towards the Hartree-Fock and coupled-cluster singles and doubles basis set limit: A study of various models that employ single excitations into a complementary auxiliary basis set
In explicitly correlated coupled-cluster singles and doubles [CCSD(F12)] calculations, the basis set incompleteness error in the double excitations is reduced to such an extent that the error in the Hartree-Fock energy and the error in the single excitations become important. Using arguments from perturbation theory to systematically truncate the coupled-cluster singles and CCSD(F12) Lagrangians, a series of coupled-cluster models are proposed and studied that reduce these basis set incompleteness errors through additional single excitations into a complementary auxiliary basis. Convergence with model and size of complementary basis is rapid and there appears to be no need to go beyond second-order models. Our iterative second-order approach is a slight improvement over the existing noniterative approach, but its main advantage is that it is suitable for response theory.
%0 Journal Article
%1 AK30
%A Köhn, Andreas
%A Tew, David P.
%D 2010
%J J. Chem. Phys.
%K chemie imported koehn köhn from:alexanderdenzel theoretische stuttgart theochem
%N 2
%P 24101
%R 10.1063/1.3291040
%T Towards the Hartree-Fock and coupled-cluster singles and doubles basis set limit: A study of various models that employ single excitations into a complementary auxiliary basis set
%U http://dx.doi.org/10.1063/1.3291040
%V 132
%X In explicitly correlated coupled-cluster singles and doubles [CCSD(F12)] calculations, the basis set incompleteness error in the double excitations is reduced to such an extent that the error in the Hartree-Fock energy and the error in the single excitations become important. Using arguments from perturbation theory to systematically truncate the coupled-cluster singles and CCSD(F12) Lagrangians, a series of coupled-cluster models are proposed and studied that reduce these basis set incompleteness errors through additional single excitations into a complementary auxiliary basis. Convergence with model and size of complementary basis is rapid and there appears to be no need to go beyond second-order models. Our iterative second-order approach is a slight improvement over the existing noniterative approach, but its main advantage is that it is suitable for response theory.
%@ 0021-9606
@article{AK30,
abstract = {In explicitly correlated coupled-cluster singles and doubles [CCSD(F12)] calculations, the basis set incompleteness error in the double excitations is reduced to such an extent that the error in the Hartree-Fock energy and the error in the single excitations become important. Using arguments from perturbation theory to systematically truncate the coupled-cluster singles and CCSD(F12) Lagrangians, a series of coupled-cluster models are proposed and studied that reduce these basis set incompleteness errors through additional single excitations into a complementary auxiliary basis. Convergence with model and size of complementary basis is rapid and there appears to be no need to go beyond second-order models. Our iterative second-order approach is a slight improvement over the existing noniterative approach, but its main advantage is that it is suitable for response theory.},
added-at = {2019-02-06T13:16:27.000+0100},
author = {K{\"{o}}hn, Andreas and Tew, David P.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/281c079ca514cb31c6c7e1eff69b73739/theochem},
doi = {10.1063/1.3291040},
interhash = {214eff85cb8b6ca553bf51e46feaac28},
intrahash = {81c079ca514cb31c6c7e1eff69b73739},
isbn = {0021-9606},
issn = {00219606},
journal = {J. Chem. Phys.},
keywords = {chemie imported koehn köhn from:alexanderdenzel theoretische stuttgart theochem},
number = 2,
pages = 24101,
pmid = {20095657},
timestamp = {2019-02-06T12:16:27.000+0100},
title = {{Towards the Hartree-Fock and coupled-cluster singles and doubles basis set limit: A study of various models that employ single excitations into a complementary auxiliary basis set}},
url = {http://dx.doi.org/10.1063/1.3291040},
volume = 132,
year = 2010
}