Efficient Evaluation of the Matrix Elements of the Coulomb Potential between Plane Waves and Gaussians.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388955%3A_____%2F02%3A54020004" target="_blank" >RIV/61388955:_____/02:54020004 - isvavai.cz</a>
Alternative codes found
RIV/47813059:19240/02:#0002036
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Efficient Evaluation of the Matrix Elements of the Coulomb Potential between Plane Waves and Gaussians.
Original language description
We present an efficient method for the calculation of matrix elements between two plane waves interacting with a molecular Coulombic field. The molecular charge density is considered a sum of the nuclear point charges and the electronic part developed inproducts of Gaussian-type functions. The Gaussians may have arbitrary powers of x, y, z before the exponential term. The same method is also applied to the calculation of derivatives of the Coulomb matrix elements with respect to the position of atomicnuclei. These elements are useful in multichannel treatment of electro-molecule collisions with vibrational excitation of the molecule. Sample calculations of Coulombic matrix elements for the H2 molecule with Cartesian Gaussian basis set are reported.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
CF - Physical chemistry and theoretical chemistry
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA203%2F99%2F0839" target="_blank" >GA203/99/0839: Discrete momentum representation of Lippmann-Schwinger equation - a new theoretical tool for interpreting electron energy loss spectra of polyatomic molecules</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Computational Physics
ISSN
0021-9991
e-ISSN
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Volume of the periodical
181
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
1-8
UT code for WoS article
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EID of the result in the Scopus database
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