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| Main Authors: | , |
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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2404.00388 |
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| _version_ | 1866915028335067136 |
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| author | Denisov, G. S. Asfin, R. E. |
| author_facet | Denisov, G. S. Asfin, R. E. |
| contents | This article continues the series of works by the authors on the approximation of the electronic terms of diatomic molecules by the Morse formula, which is the simplest anharmonic approximation of the real term U(r). Depending on the choice of parameters, the approximation has two alternative solutions M1(r) and M2(r), with different patterns of deviations from the real term and its vibrational structure. The difference δ(r)=U(r)-M(r) quantitatively shows the changes in the shape of the terms during approximation. We introduced an empirical anharmonicity function -2ω_e x(v), which characterizes the positions of vibrational levels in the potential well; it demonstrates the distortion of the vibrational structure of the term U(r) during the approximation. Based on the data from literature, the functions δ(r) and -2ω_e x(v) were constructed for more than 20 molecules. Here we present a group of simple terms with minimal deviations from the Morse shape. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_00388 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximation of the electronic terms of diatomic molecules by the Morse function. The role of anharmonicity. II. Simple terms Denisov, G. S. Asfin, R. E. Chemical Physics This article continues the series of works by the authors on the approximation of the electronic terms of diatomic molecules by the Morse formula, which is the simplest anharmonic approximation of the real term U(r). Depending on the choice of parameters, the approximation has two alternative solutions M1(r) and M2(r), with different patterns of deviations from the real term and its vibrational structure. The difference δ(r)=U(r)-M(r) quantitatively shows the changes in the shape of the terms during approximation. We introduced an empirical anharmonicity function -2ω_e x(v), which characterizes the positions of vibrational levels in the potential well; it demonstrates the distortion of the vibrational structure of the term U(r) during the approximation. Based on the data from literature, the functions δ(r) and -2ω_e x(v) were constructed for more than 20 molecules. Here we present a group of simple terms with minimal deviations from the Morse shape. |
| title | Approximation of the electronic terms of diatomic molecules by the Morse function. The role of anharmonicity. II. Simple terms |
| topic | Chemical Physics |
| url | https://arxiv.org/abs/2404.00388 |