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Vol. 23, issue 01, article # 1

Starikov V. I. The use of the continued fractions to fit the highly excited rotational states of H2O molecule. // Optika Atmosfery i Okeana. 2010. V. 23. No. 01. P. 5-8 [in Russian].
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Abstract:

Continued fractions D(a, x) were used in the analysis of highly excited (J ≤ 42, Ka≤ 32) rotational levels of the first eight vibrational states of H216 O molecule. These fractions depend on the rotational operator Jz, defined by the variable x, and on the shape parameter a, which determines the asymptotic behavior of the calculated energy levels. Continued fractions D(a, x) are new forms of generation functions for effective rotational Hamiltonian of a nonrigid molecule of H2X type.

Keywords:

continued fractions, highly excited rotational levels, H2O molecule