@Article{JAMS-2-2, author = {Huang, Hong-Mo and Liang, Jun}, title = {An Algebraic Expression of the Three-Dimensional Franck-Condon Factors and Its Application}, journal = {Journal of Atomic and Molecular Sciences}, year = {2011}, volume = {2}, number = {2}, pages = {179--186}, abstract = {

A more general algebraic expression for the calculation of the four-mode Franck-Condon factors was derived straightforwardly on the basis of the closed form expression of the Franck-Condon integrals between arbitrary multidimensional harmonic oscillators under the Duschinsky mixing effects. This new algebraic expression was applied to study the photoelectron spectra of $D_2CO^+(\widetilde{A} ^2B_1).$ Franck-Condon analyses and spectral simulations were carried out on the $D_2CO^+(\widetilde{A} ^2B_1)$-$D_2CO(\widetilde{X} ^1A_1)$ photoionization processes. The spectral simulations of vibrational structures based on the computed Franck-Condon factors are in excellent agreement with the observed spectra.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.120110.011411a}, url = {https://global-sci.com/article/74412/an-algebraic-expression-of-the-three-dimensional-franck-condon-factors-and-its-application} }