The paper presents the Morse potential-based calculation of Franck–Condon factors which have not been investigated from the point of view of allowed transitions associated with the first negative and second positive systems. For nonallowed transitions, it is shown that the Morse potential provides an exact calculation of factors, depending on vibrational constants. During the vibrational number increase, the deviation is observed between calculated Franck–Condon factors and those determined by the more accurate Rydberg–Klein–Rees potential.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Change history
16 March 2023
A Correction to this paper has been published: https://doi.org/10.1007/s11182-023-02868-6
References
V. T. Tikhonchuk, Y. Liu, R. Danylo, et al., New J. Phys., 23, 023035 (2021).
A. A. Ilyin, S.S. Golik, K. A. Shmirko, et al., Spectrochim. Acta B, 138, 97–105 (2017).
A. A. Il’in, K.A. Shmirko, S. S. Golik, and D. Y. Proschenko, Russ. Phys. J., 64, No. 9, 1629–1636 (2022).
N. G. Ivanov, V. F. Losev, and V. E. Prokop’ev, Quantum Elec., 48, No. 9, 826–832 (2018).
Q. Su, L. Sun, C. Chu, et al., J. Phys. Chem. Lett., 11, 730–734 (2020).
X. Li, B. Li, J. Liu, et al., Opt. Express, 27, 5755–5763 (2019).
P. Polynkin and Y. Cheng, eds., Air Lasing, Springer Series in Optical Sciences, Springer (2018).
G. G. Chernyi and S. A. Losev, eds., Physical and Chemical Processes in Gas Dynamics: Handbook [in Russian], Vol. 1, Nauchnyi mir, Moscow (2007).
J. Bacri and A. Medani, Physica C, 112, 101–118 (1982).
D. Kartashov, S. Ališauskas, A. Pugžlys, et al., J. Phys. B: At. Mol. Opt. Phys., 48, 094016 (2015).
F. R. Gilmore, J. Phys. Chem. Ref. Data, 21, 1005–1107 (1992).
J. C. Lopez, A. L. River, Yu. F. Smirnov, et al., Int. J. Quantum Chem., 88, 280–295 (2002).
R. Laher and F. R. Gilmore, J. Phys. Chem. Ref. Data, 20, 685–712 (1991).
F. Johansson, et al., Mpmath: A Python Library for Arbitrary-Precision Floating-Point Arithmetic (Version 1.2.0), February 2021, https://mpmath.org/
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 42–46, September, 2022.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Ilyin, A.A. Franck–Condon Factors for Allowed Transitions in N2 and N2+ Molecules. Russ Phys J 65, 1461–1466 (2023). https://doi.org/10.1007/s11182-023-02791-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-023-02791-w