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Analytical Evaluation for Calculation of Two-Center Franck–Condon Factor and Matrix Elements
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The Franck–Condon (FC) factor is defined as squares of the Franck–Condon (FC) overlap integral and represents one of the principle fundamental factors of molecular physics.
The FC factor is used to determine the transition probabilities in different vibrational levels of the two electronic states and the spectral line intensities of diatomic and polyatomic molecules.
In this study, new analytical formulas were derived to calculate Franck–Condon integral (FCI) of harmonic oscillators and matrix elements (xη, e−2cx, and e−cx2) including simple finite summations of binomial coefficients.
These formulas are valid for arbitrary values.
The results of formulas are in agreement with the results in the literature.
American Psychological Association (APA)
Koç, Hüseyin. 2018. Analytical Evaluation for Calculation of Two-Center Franck–Condon Factor and Matrix Elements. Journal of Chemistry،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1182251
Modern Language Association (MLA)
Koç, Hüseyin. Analytical Evaluation for Calculation of Two-Center Franck–Condon Factor and Matrix Elements. Journal of Chemistry No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1182251
American Medical Association (AMA)
Koç, Hüseyin. Analytical Evaluation for Calculation of Two-Center Franck–Condon Factor and Matrix Elements. Journal of Chemistry. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1182251
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1182251