DOI: 10.1063/1.1771639. Linear-scaling formation of Kohn-Sham Hamiltonian: Application to the calculation of excitation energies and polarizabilities of large molecular systems

Linear-scaling formation of Kohn-Sham Hamiltonian: Application to the calculation of excitation energies and polarizabilities of large molecular systems

10.1063/1.1771639

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We present calculations of excitation energies and polarizabilities in large molecular systems at the local-density and generalized-gradient approximation levels of density-functional theory (DFT). Our results are obtained using a linear-scaling DFT implementation in the program system DALTON for the formation of the Kohn-Sham Hamiltonian. For the Coulomb contribution, we introduce a modification of the fast multipole method to calculations over Gaussian charge distributions. It affords a simpler implementation than the original continuous fast multipole method by partitioning the electrostatic Coulomb interactions into “classical” and “nonclassical” terms which are explicitly evaluated by linear-scaling multipole techniques and a modified two-electron integral code, respectively. As an illustration of the code, we have studied the singlet and triplet excitation energies as well as the static and dynamic polarizabilities of polyethylenes, polyenes, polyynes, and graphite sheets with an emphasis on the trends observed with system size.

Bibliography

Watson, M. A., SaÅek, P., Macak, P., & Helgaker, T. (2004). Linear-scaling formation of Kohn-Sham Hamiltonian: Application to the calculation of excitation energies and polarizabilities of large molecular systems. The Journal of Chemical Physics, 121(7), 2915â2931.

Authors 4

Mark A. Watson (first)
Paweł Sałek (additional)
Peter Macak (additional)
Trygve Helgaker (additional)

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Dates

Type	When
Created	21 years, 1 month ago (July 30, 2004, 6:04 p.m.)
Deposited	2 years, 1 month ago (July 10, 2023, 12:05 a.m.)
Indexed	3 months ago (May 27, 2025, 10:59 a.m.)
Issued	21 years, 1 month ago (July 30, 2004)
Published	21 years, 1 month ago (July 30, 2004)
Published Online	21 years, 1 month ago (July 30, 2004)
Published Print	21 years ago (Aug. 15, 2004)

Funders 0

None

BibTeX

@article{Watson_2004, title={Linear-scaling formation of Kohn-Sham Hamiltonian: Application to the calculation of excitation energies and polarizabilities of large molecular systems}, volume={121}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1771639}, DOI={10.1063/1.1771639}, number={7}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Watson, Mark A. and Sałek, Paweł and Macak, Peter and Helgaker, Trygve}, year={2004}, month=jul, pages={2915–2931} }

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