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Studies on rovibrational energies in the ground state of nitrogen molecule using an algebraic approach

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Abstract

An Algebraic Method (AMr) is used to evaluate rotational spectrum constants and energies using a known accurate experimental/theoretical rovibrational energy subset of a given rovibrational band for a diatomic electronic state. The AMr has been applied to study the rovibrational energies up to j = 40 in vibrational bands from v = 0 to 8 of X1Σ +g electronic state of N2 molecule. Calculations show that (i) the AMr not only reproduces the accurate experimental/theoretical energies, but also generates rotational constants and the E vj ’s of high-lying rovibtational excited states; (ii) The accuracies of the rotational spectrum constants and energies are uniquely determined by the quality of the input experimental/theoretical data.

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Acknowledgments

This study was supported by the National Natural Science Foundation of China (Grant No.11074204), the Youth Fund (Grant No:2012JQ0055) of the Department of Science and Technology and the Key Project (Grant No:12ZA165) of Education Department of Sichuan Province, People's Republic of China.

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Correspondence to Weiguo Sun.

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Fan, Q., Sun, W., Li, H. et al. Studies on rovibrational energies in the ground state of nitrogen molecule using an algebraic approach. Indian J Phys 86, 237–243 (2012). https://doi.org/10.1007/s12648-012-0054-x

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  • DOI: https://doi.org/10.1007/s12648-012-0054-x

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