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An analytical formula is derived from elementary expression of molecular total energy for calculating the accurate P-branch spectral lines of rovibrational transitions for diatomic molecules. Using the constants (Bυ',Bυ″) and a group of fifteen known P-branch experimental transition lines for a transition band, the formula not only reproduces the known experimental transition lines, but also generates the spectral lines that may not be available experimentally. The P-branch emission spectra of the (2,0) band of the CO molecule are studied in this work, and correct values of the unknown spectral lines up to J = 80 for this band are predicted by using the formula.
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Keywords:
- diatomic molecule /
- emission spectrum /
- P-branch /
- CO
[1] Li H, Focsa C, Pinchemel B, Le Roy R J, Bernath P F 2000 J. Chem. Phys. 113 3026
[2] Huang Y, Qi J, Pechkis H K, Wang D, Eyler E E, Gould P L, Stwalley W C 2006 J. Phys. B: At. Mol. Opt. Phys. 39 S857
[3] Jr Ekey R C, Marks A, McCormack E F 2006 Phys. Rev. A 73 023412
[4] Lang F, Winkler K, Strauss C, Grimm R, Denschlag J H 2008 Phys. Rev. Lett. 101 133005
[5] Chen Y Q, Wu L, Yang X H 2009 Chin. Phys. B 18 2724
[6] Jiang B, Liu J, Liu S L, Wang H, Wang F Y, Yang X M 2008 Chin. Phys. B 17 796
[7] Zheng R , Li S, Hou S Y, Huang G M, Duan C X 2008 Chin. Phys. B 17 4485
[8] Herzeberg G 1953 Molecular Spectra, and Molecular Structure(Ⅰ): Spectra of Diatomic Molecules (New York:Van Nostrand Reinhold)
[9] Ram R S, Bernath P F, Davis S P, Merer A J 2002 J. Mol. Spectrosc. 211 279
[10] Imajo T, Kobayashi Y, Nakashima Y, Tanaka K, Tanaka T 2005 J. Mol. Spectrosc. 230 139
[11] Staanum P, Pashov A, Knöckel H, Tiemann E 2007 Phys. Rev. A 75 042513
[12] Zheng L, Yang X, Wu L, Kaniki K, Guo Y, Liu Y, Chen Y 2004 J. Mol. Spectrosc. 226 81
[13] Xu C Y, Yang X H, Guo Y C, Wu L 2005 Chin. Phys. 14 1954
[14] Chen J, Meng D Q, Du J G, Jiang G, Gao T, Zhu Z H 2010 Acta Phys. Sin. 59 1658 (in Chinese)[陈 军、蒙大桥、杜际广、蒋 刚、高 涛、朱正和 2010 物理学报 59 1658]
[15] Chen H J, Chen X L, Tang H Y, Wang Q W, Su X F 2010 Acta Phys. Sin. 59 4556 (in Chinese)[陈恒杰、程新路、唐海燕、王全武、苏欣纺 2010 物理学报 59 4556]
[16] Chakraborty S, Ahmed M, Jackson T L, Thiemens M H 2008 Science 321 1328
[17] Mishra A P, Shetty B J, Kshirsagar R J 2005 J. Mol. Spectrosc. 232 296
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[1] Li H, Focsa C, Pinchemel B, Le Roy R J, Bernath P F 2000 J. Chem. Phys. 113 3026
[2] Huang Y, Qi J, Pechkis H K, Wang D, Eyler E E, Gould P L, Stwalley W C 2006 J. Phys. B: At. Mol. Opt. Phys. 39 S857
[3] Jr Ekey R C, Marks A, McCormack E F 2006 Phys. Rev. A 73 023412
[4] Lang F, Winkler K, Strauss C, Grimm R, Denschlag J H 2008 Phys. Rev. Lett. 101 133005
[5] Chen Y Q, Wu L, Yang X H 2009 Chin. Phys. B 18 2724
[6] Jiang B, Liu J, Liu S L, Wang H, Wang F Y, Yang X M 2008 Chin. Phys. B 17 796
[7] Zheng R , Li S, Hou S Y, Huang G M, Duan C X 2008 Chin. Phys. B 17 4485
[8] Herzeberg G 1953 Molecular Spectra, and Molecular Structure(Ⅰ): Spectra of Diatomic Molecules (New York:Van Nostrand Reinhold)
[9] Ram R S, Bernath P F, Davis S P, Merer A J 2002 J. Mol. Spectrosc. 211 279
[10] Imajo T, Kobayashi Y, Nakashima Y, Tanaka K, Tanaka T 2005 J. Mol. Spectrosc. 230 139
[11] Staanum P, Pashov A, Knöckel H, Tiemann E 2007 Phys. Rev. A 75 042513
[12] Zheng L, Yang X, Wu L, Kaniki K, Guo Y, Liu Y, Chen Y 2004 J. Mol. Spectrosc. 226 81
[13] Xu C Y, Yang X H, Guo Y C, Wu L 2005 Chin. Phys. 14 1954
[14] Chen J, Meng D Q, Du J G, Jiang G, Gao T, Zhu Z H 2010 Acta Phys. Sin. 59 1658 (in Chinese)[陈 军、蒙大桥、杜际广、蒋 刚、高 涛、朱正和 2010 物理学报 59 1658]
[15] Chen H J, Chen X L, Tang H Y, Wang Q W, Su X F 2010 Acta Phys. Sin. 59 4556 (in Chinese)[陈恒杰、程新路、唐海燕、王全武、苏欣纺 2010 物理学报 59 4556]
[16] Chakraborty S, Ahmed M, Jackson T L, Thiemens M H 2008 Science 321 1328
[17] Mishra A P, Shetty B J, Kshirsagar R J 2005 J. Mol. Spectrosc. 232 296
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