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关于谐振子模型与双原子分子经典维格纳 - 柯克伍德修正配分函数的互补性

On the Complementarity of the Harmonic Oscillator Model and the Classical Wigner-Kirkwood Corrected Partition Functions of Diatomic Molecules.

作者信息

Buchowiecki Marcin

机构信息

Insitute of Physics, University of Szczecin, Wielkopolska 15 St, 70-451 Szczecin, Poland.

出版信息

Entropy (Basel). 2020 Jul 31;22(8):853. doi: 10.3390/e22080853.

DOI:10.3390/e22080853
PMID:33286624
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7517454/
Abstract

The vibrational and rovibrational partition functions of diatomic molecules are considered in the regime of intermediate temperatures. The low temperatures are those at which the harmonic oscillator approximation is appropriate, and the high temperatures are those at which classical partition function (with Wigner-Kirkwood correction) is applicable. The complementarity of the harmonic oscillator and classical integration over the phase space approaches is investigated for the CO and H2+ molecules showing that those two approaches are complementary in the sense that they smoothly overlap.

摘要

在中等温度范围内考虑双原子分子的振动和振转配分函数。低温是指谐波振荡器近似适用的温度,高温是指经典配分函数(带有维格纳 - 柯克伍德修正)适用的温度。针对一氧化碳(CO)和氢分子离子(H₂⁺)研究了谐波振荡器方法和相空间经典积分方法的互补性,结果表明这两种方法在平滑重叠的意义上是互补的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/34fe57f13c0e/entropy-22-00853-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/2f75c7761430/entropy-22-00853-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/dd0a247df930/entropy-22-00853-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/e01d494107f5/entropy-22-00853-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/4577d3fb322f/entropy-22-00853-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/34fe57f13c0e/entropy-22-00853-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/2f75c7761430/entropy-22-00853-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/dd0a247df930/entropy-22-00853-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/e01d494107f5/entropy-22-00853-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/4577d3fb322f/entropy-22-00853-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e0d/7517454/34fe57f13c0e/entropy-22-00853-g005.jpg

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本文引用的文献

1
Vibrational Partition Function for the Multitemperature Theories of High-Temperature Flows of Gases and Plasmas.气体和等离子体高温流动多温度理论的振动配分函数
J Phys Chem A. 2020 May 21;124(20):4048-4052. doi: 10.1021/acs.jpca.0c01161. Epub 2020 May 8.
2
Equation of state for a chemically dissociative, polyatomic system: Carbon dioxide.化学分解多原子体系的状态方程:二氧化碳。
J Chem Phys. 2019 Dec 14;151(22):224505. doi: 10.1063/1.5128127.
3
Simple three-parameter model potential for diatomic systems: from weakly and strongly bound molecules to metastable molecular ions.
双原子体系的简单三参数模型势:从弱束缚和强束缚分子到亚稳分子离子
Phys Rev Lett. 2005 Dec 31;95(26):263202. doi: 10.1103/PhysRevLett.95.263202. Epub 2005 Dec 22.