Abstract
The stretching and bending vibrational energies of SnBr4 and CCl4 are calculated in the one-dimensional framework. The dynamical symmetry group of tetrahedral molecule was taken into consideration to construct the model Hamiltonian in this framework. Casimir and Majorana invariant operators were also determined accordingly. Using the model Hamiltonian so constructed, we reported the vibrational energy levels of SnBr4 and CCl4 molecules accurately.
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R D Levine and C E Wulfman, Chem. Phys. Lett. 60, 372 (1979)
F Iachello, Chem. Phys. Lett. 78, 581 (1981)
F Iachello, S Oss and R Lemus, J. Mol. Spectrosc. 146, 56 (1991)
F Iachello, S Oss and R Lemus, J. Mol. Spectrosc. 149, 132 (1991)
F Iachello and R D Levine, Algebraic theory of molecules (Oxford Univ. Press, Oxford, 1995)
S Oss, Adv. Chem. Phys. 93, 455 (1996)
F Iachello and S Oss, Euro. Phys. J. D19, 307 (2002)
N K Sarkar, J Choudhury and R Bhattacharjee, Mol. Phys. 104, 3051 (2006)
N K Sarkar, J Choudhury and R Bhattacharjee, An algebraic approach to the study of vibrational spectra of OCS and its comparison to that of HCN using local-mode Hamiltonian, Proceedings of the 8th Asian Thermophysical Properties Conference, 21–24 August 2007, Fukuoka, Japan (Paper no. 236).
L Halonen and M S Child, Mol. Phys. 46, 239 (1982)
R Lemus and A Frank, J. Chem. Phys. 101, 8321 (1994)
L Halonen and M S Child, J. Chem. Phys. 79, 559 (1983)
F Iachello and S Oss, Phys. Rev. Lett. 66, 2976 (1991)
J L Ping and J Q Chen, Ann. Phys. (N.Y.) 255, 75 (1997)
F Iachello and S Oss, J. Mol. Spectrosc. 153, 225 (1992)
F Iachello and S Oss, Chem. Phys. Lett. 205, 285 (1993)
F Iachello and S Oss, J. Chem. Phys. 99, 7337 (1993)
G Poschl and E Teller, Z. Phys. 83, 143 (1933)
W Y Zeng and A Anderson, J. Raman Spectrosc. 18, 327 (1986)
R J Clark and D M Rippon, J. Chem. Soc. D20, 1295 (1971)
J H Clark and P D Mitchell, J. Chem. Soc. Faraday Trans. 2 71, 515 (1975)
T Chakraborty and S N Rai, Spectrochim. Acta A65, 406 (2006)
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Choudhury, J., Karumuri, S.R., Sarkar, N.K. et al. Vibrational spectroscopy of SnBr4 and CCl4 using Lie algebraic approach. Pramana - J Phys 71, 439–445 (2008). https://doi.org/10.1007/s12043-008-0123-z
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DOI: https://doi.org/10.1007/s12043-008-0123-z