A global fitting method has been developed for spherical top molecules. The octad of the GeH4 molecule comprising 24 interacting states has been investigated. By solving the inverse spectroscopic problem, positions of the band centers and rotational and resonant parameters are calculated. A total of 70 variable parameters allow 1184 initial experimental rovibrational energies to be reproduced with a standard deviation of 1.2·10–3 cm–1.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
U. Fink, H. P. Larson, and R. R. Treffers, Icarus, 34, 344–354 (1978).
V. Kunde, R. Hanel, W. Maguire, et al., Astrophys. J., 263, 443–467 (1982).
P. Drossart, T. Encrenaz, V. Kunde, et al., Icarus, 49, 416–426 (1982).
F. Chen, D. L. Judge, C. Y.R. Wu, et al., J. Geophys. Res., 96, 17519–17527 (1991).
S. K. Atreya, P. R. Mahaffy, H. B. Niemann, et al., Planet. Space. Sci., 51, 105–112 (2003).
K. Lodders, Astrophys. J., 611, 587–597 (2004).
M. Asplund, N. Grevesse, J. Sauval, and P. Scott, Ann. Rev. Astron. Astrophys., 47, 451–522 (2009).
K. Lodders, Atmospheric Chemistry of the Gas Giant Planets (2010); http://www.geochemsoc.org/publications/geochemicalnews/gn142jan10/atmosphericchemistryoftheg/.
M. Agostini, M. Allardt, E. Andreotti, et al., Eur. Phys. J., 74, 1–25 (2014).
E. E. Haller, Mater. Sci. Semicond. Proc., 9, 408–422 (2006).
M. A. Koshelev, A. P. Velmuzhov, I. A. Velmuzhova, et al., J. Quant. Spectrosc. Radiat. Transf., 164, 161–174 (2015).
O. N. Ulenikov, O. V. Gromova, E. S. Bekhtereva, et al., J. Quant. Spectrosc. Radiat. Transf., 182, 199–218 (2016).
O. N. Ulenikov, O. V. Gromova, E. S. Bekhtereva, et al., J. Quant. Spectrosc. Radiat. Transf., 203, 496–510 (2017).
O. N. Ulenikov, O. V. Gromova, E. S. Bekhtereva, et al., J. Quant. Spectrosc. Radiat. Transf., 201, 35–44 (2017).
O. N. Ulenikov, O. V. Gromova, E. S. Bekhtereva, et al., J. Quant. Spectrosc. Radiat. Transf., 205, 96–104 (2018).
O. N. Ulenikov, O. V. Gromova, E. S. Bekhtereva, et al., J. Quant. Spectrosc. Radiat. Transf., 144, 11–26 (2014).
T. Hecht, J. Mol. Spectrosc., 5, 355–389 (1960).
J. Moret-Bailly, Cah. Phys., 15, 238–314 (1961).
J. Moret-Bailly, J. Mol. Spectrosc., 55, 200–216 (1975).
J. P. Champion, Can. J. Phys., 55, 1802–1828 (1977).
V. Boudon, J. P. Champion, T. Gabard, et al., in: Handbook of High-Resolution Spectroscopy, Vol. 3, M. Quack, ed., Wiley (2011), pp. 1437–1460.
D. Papoushek and M. R. Aliev, Molecular Vibrational Rotational Spectra, Academia, Prague (1982).
O. N. Ulenikov, G. A. Onopenko, N. E. Tyabaeva, et al., J. Mol. Spectrsosc, 186, No. 2, 293–313 (1997).
O. N. Ulenikov, O. V. Gromova, E. S. Bekhtereva, et al., J. Quant. Spectrosc. Radiat. Transf., 170, 69–82 (2016).
O. N. Ulenikov, O. V. Gromova, E. S. Bekhtereva, et al., J. Mol. Spectrsosc., 317, 32–40 (2015).
U. Fano and G. Racah, Irreducible Tensorial Sets, Academic Press, New York (1959).
E. P. Wigner, Group Theoryand Its Application to the Quantum Mechanics [Russian translation], Mir, Moscow (1961).
J. P. Champion, G. Pierre, F. Michelot, and J. Moret-Bailly, Can. J. Phys., 55, 512–520 (1977).
B. I. Zhilinskii, Metod of Irreducible Tensor Operators in Molecular Spectroscopy [in Russian], Publishing House of Moscow State University, Moscow (1981).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 95–103, November, 2020.
Rights and permissions
About this article
Cite this article
Raspopova, N.I., Gromova, O.V., Bekhtereva, E.S. et al. Global Analysis of 24 Rovibrational Bands of the Octad of the 76GeH4 Molecule. Russ Phys J 63, 1937–1946 (2021). https://doi.org/10.1007/s11182-021-02254-0
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-021-02254-0