β Scribed by Xi-Wen Hou; Shi-Hai Dong; Zong-Liang Fang; Zhong-Qi Ma
No coin nor oath required. For personal study only.
A U(2) algebraic model is presented to describe stretching vibrations of XY n (n Ο 2, 3, and 4) systems, where anharmonic interactions between the bond modes are considered. This model in a limit corresponds to an anharmonically coupled local-mode model. As an example, the model for a molecule XY 4 is applied to recently observed spectra of methane in both gas and liquid phases, and the results obtained are in good agreement with the experiments.
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The vibrational excitations of ozone, including both bending and stretching vibrations, are studied in the framework of a symmetry-adapted algebraic approach. This method is based on the isomorphism between the U( 2) algebra and the one-dimensional Morse oscillator, and the introduction of point gro
these two theories are.riot exclusive, but'ratber &&. One of the most char&&stid features of the hydrogen-bond X-H.. .Y is the high anharmonic/ty of the stretching vibration vX\_H,W,Y of the H atom in this bond [I] . As a consequence of this anharrnonicity the c&responding infrared spectrum of the v
The vibrational excitations of bent triatomic molecules, including both bending and stretching vibrations, are studied in the framework of the U(4) algebra. For the bent triatomic molecules H 2 O and H 2 S, the highly excited vibrational levels (up to 14) are obtained using the U(4) algebraic approa
The coupled cluster method is applied to the calculation of vibrational levels of O3 and SO1 and compared with the self consistent field approximation (SCF) and accurate quantum calculations. It is found that CCM truncated at the S4 level provides a marginally better description than SCF for the gro