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Relationship of the Williams-Poulios and Manning-Rosen Potential Energy Models for Diatomic Molecules |
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| Authors: | Chun-Sheng Jia Guang-Chuan Liang Xiao-Long Peng Hong-Ming Tang Lie-Hui Zhang |
| Institution: | 1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, 610500, People’s Republic of China 2. School of Petroleum Engineering, Southwest Petroleum University, Chengdu, 610500, People’s Republic of China 3. School of Resources and Environment Engineering, Southwest Petroleum University, Chengdu, 610500, People’s Republic of China |
| Abstract: | By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate an improved form of the Williams-Poulios potential energy model. It is found that the negative Williams-Poulios potential model is equivalent to the Manning-Rosen potential model for diatomic molecules. We observe that the Manning-Rosen potential is superior to the Morse potential in reproducing the interaction potential energy curves for the \({{a}^{3} \Sigma_{{\rm u}}^{+}}\) state of the 6Li2 molecule and the \({{X}^{1} \sum^{+}}\) state of the SiF+ molecule. |
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