• Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

You Tube Flickr Twitter UniPHY Group iResearch App Facebook

J. Chem. Phys. 88, 2547 (1988); http://dx.doi.org/10.1063/1.454033 (7 pages)

A multicenter numerical integration scheme for polyatomic molecules

A. D. Becke

Department of Chemistry, Queen’s University, Kingston, Ontario K7L 3N6, Canada

(Received 18 September 1987; accepted 6 November 1987)

We propose a simple scheme for decomposition of molecular functions into single‐center components. The problem of three‐dimensional integration in molecular systems thus reduces to a sum of one‐center, atomic‐like integrations which are treated using standard numerical techniques in spherical polar coordinates. The resulting method is tested on representative diatomic and polyatomic systems for which we obtain five‐ or six‐figure accuracy using a few thousand integration points per atom.

KEYWORDS and PACS

PACS

  • 31.15.-p

    Calculations and mathematical techniques in atomic and molecular physics

  • 33.20.-t

    Molecular spectra

ARTICLE DATA

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

For access to fully linked references, you need to log in.
    A. D. Becke, Ph.D. dissertation, McMaster University, Hamilton, Canada (1981)
    J. Chem. Phys. 76, 6037 (1982JCPSA6000076000012006037000001)
    78, 4787 (1983JCPSA6000078000007004787000002).

    A. D. Becke, Phys. Rev. A 33, 2786 (1986).

    A. D. Becke, J. Chem. Phys. 84, 4524 (1986JCPSA6000084000008004524000001).

    K. Lee, J. Callaway, and S. Dhar, Phys. Rev. B 30, 1724 (1984)
    S. Dhar, A. Ziegler, D. G. Kanhere, and J. Callaway, J. Chem. Phys. 82, 868 (1985JCPSA6000082000002000868000001).

    B. I. Dunlap, J. W. D. Connolly, and J. R. Sabin, J. Chem. Phys. 71, 3396, 4993 (1979JCPSA6000071000008003396000001).


For access to citing articles, you need to log in.


Close
Google Calendar
ADVERTISEMENT

close