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A Non-Born-Oppenheimer Effective Hamiltonian for the Analysis of Vibrational-Rotational and Rotational Spectra of Diatomic Molecules

机译:非出生Oppenheimer有效哈密顿量的双原子分子的振动-旋转和旋转光谱分析

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摘要

A non-Born-Oppenheimer effective Hamiltonian for diatomic molecules with optimal fitting parameters,i.e.,determinable clusters of expansion coefficients of Born-Oppenheimer corrections,has been derived.The effective Hamiltonian has formally the same form as Dunham's Hamiltonian,except for additional corrections for successive delta~i terms of a series expansion of the rotational parameter B(delta),extending the determinacy of the optimal parameters,DELTA_B~(a,b),DELTA_(omega)~(a,b),DELTA_(aiq)~(a,b),r_(iq)~(a,b),in general for i = 1,2,3,...,if spectra of isotopomers of atoms A and B are analyzed simultaneously.The effective Hamiltonian provides a clear-cut understanding of determinable correction parameters;e.g.,in Dunham-type potential fits to spectral transitions for the single isotopomer optimal parameters delta_(riq) (i = 1,2,...) for corrections of series expansion terms of B(delta') should explicitly be included.The physical significance of the optimal parameters as well as of conventional molecular parameters,B_e,-D_e,H_e,omega_e,and - alpha_e,etc.,is described.
机译:得出了具有最佳拟合参数的双原子分子的非Born-Oppenheimer有效哈密顿量,即可以确定Born-Oppenheimer校正的膨胀系数的可确定簇。有效的哈密顿量形式上与Dunham's哈密顿量形式相同,除了针对旋转参数B(delta)的级数展开的连续delta-i项,扩展了最优参数DELTA_B〜(a,b),DELTA_ω〜(a,b),DELTA_(aiq)〜的确定性(a,b),r_(iq)〜(a,b),通常对于i = 1,2,3,...,如果同时分析原子A和B的同位素异构体的光谱。有效的哈密顿量提供了对可确定的校正参数的清晰理解;例如,对于单个等位异构体最佳参数del __(riq)(i = 1,2,...)的校正,在Dunham型势能中适合光谱跃迁,用于校正B( δ')应该明确包括在内。最佳参数以及co的物理意义描述了常规分子参数B_e,-D_e,H_e,omega_e和-alpha_e等。

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