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Selection rules for electric multipole transition of diatomic molecule in scattering experiments |
| Zhu Lin-Fan (朱林繁)a b, Tian Hong-Chun (田红春)a b, Liu Ya-Wei (刘亚伟)a b, Kang Xu (康旭)a b, Liu Guo-Xing (刘国兴)a b |
a Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;
b Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China |
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Abstract The knowledge of the energy level structures of atoms and molecules is mainly obtained by spectroscopic experiments. Both photoabsorption and photoemission spectra are subject to the electric dipole selection rules (also known as optical selection rules). However, the selection rules for atoms and molecules in the scattering experiments are not identical to those in the optical experiments. In this paper, based on the theory of the molecular point group, the selection rules are derived and summarized for the electric monopole, electric dipole, electric quadrupole, and electric octupole transitions of diatomic molecules under the first Born approximation in scattering experiments. Then based on the derived selection rules, the electron scattering spectra and x-ray scattering spectra of H2, N2, and CO at different momentum transfers are explained, and the discrepancies between the previous experimental results measured by different groups are elucidated.
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Received: 30 October 2014
Revised: 22 January 2015
Accepted manuscript online:
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PACS:
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31.10.+z
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(Theory of electronic structure, electronic transitions, and chemical binding)
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34.50.-s
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(Scattering of atoms and molecules)
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31.15.xh
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(Group-theoretical methods)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. U1332204, 11274291, and 11320101003). |
Corresponding Authors:
Zhu Lin-Fan
E-mail: lfzhu@ustc.edu.cn
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Cite this article:
Zhu Lin-Fan (朱林繁), Tian Hong-Chun (田红春), Liu Ya-Wei (刘亚伟), Kang Xu (康旭), Liu Guo-Xing (刘国兴) Selection rules for electric multipole transition of diatomic molecule in scattering experiments 2015 Chin. Phys. B 24 043101
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