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arXiv physics/9701015physics.chem-ph
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线性三原子分子振转光谱的量纲微扰理论

Dimensional perturbation theory for vibration-rotation spectra of linear triatomic molecules

Andrei A. Suvernev, David Z. Goodson

摘要:

本文给出了线性三原子分子核运动的一个非常有效的大微扰理论。为了证明该方法,所有的实验观察到的转动能,$J$值几乎高达100,为地面和第一激发振动态的CO $_2$和地面振动态的N $_2$ O和OCS的计算。振动和旋转之间的所有耦合都包括在内。这里报道的微扰展开是快速收敛的。扰动参数是$D^{-1/2}$,其中$D$是空间的维数。增加$D$在性质上类似于增加角动量量子数$J$。因此,这种方法特别适合于具有高旋转激发的状态。该方法的计算成本仅与$JN_v^{5/3}$成比例,其中$N_v$是振动基组的大小。

英文摘要:

A very efficient large-order perturbation theory is formulated for the nuclear motion of a linear triatomic molecule. To demonstrate the method, all of the experimentally observed rotational energies, with values of $J$ almost up to 100, for the ground and first excited vibrational states of CO$_2$ and for the ground vibrational states of N$_2$O and of OCS are calculated. All coupling between vibration and rotation is included. The perturbation expansions reported here are rapidly convergent. The perturbation parameter is $D^{-1/2}$, where $D$ is the dimensionality of space. Increasing $D$ is qualitatively similar to increasing the angular momentum quantum number $J$. Therefore, this approach is especially suited for states with high rotational excitation. The computational cost of the method scales only as $JN_v^{5/3}$, where $N_v$ is the size of the vibrational basis set.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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