Abstract.
We propose a method, based on a generalized Heisenberg algebra (GHA), to reproduce the anharmonic spectrum of diatomic molecules. The theoretical spectrum generated by GHA allows us to fit the experimental data and to obtain the dissociation energy for the carbon monoxide molecule. Our outcomes are more accurate than the standard models used to study molecular vibrations, namely the Morse and the q-oscillator models and comparable to the perturbed Morse model proposed by Huffaker [CITE], for the first experimental levels. The dissociation energy obtained here is more accurate than all previous models.
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References
J.N. Huffaker, J. Chem. Phys. 64, 3175 (1976)
A. Mishra et al., J. Mol. Spectr. 232, 296 (2005)
H. Haken, H.C. Wolf, Molecular Physics And Elements Of Quantum Chemistry: Introduction To Experiments And Theory (Springer International, Berlin, 1995)
C. Frankenberg et al., Science 308, 1010 (2005)
M. Wang, S. Ding, D. Feng, H. Liu, Phys. Rev. A 66, 022506 (2002)
E. Kim, S. Yamamoto, J. Mol. Spectr. 219, 296 (2003)
Z. Chang, H. Yan, Phys. Rev. A 44, 7405 (1991)
P.M. Morse, Phys. Rev. 34, 57 (1929)
H. Partridge, S.R. Langhoff, J. Chem. Phys. 74, 2361 (1981)
M. Dulick et al., J. Mol. Spectr. 188, 14 (1998)
M. Selg, Phys. Scripta 60, 491 (1999)
J. Plíva, J. Mol. Spectr. 193, 7 (1999)
W. Sun et al., Mol. Phys. 103, 17 (2005)
M. Dagher, M. Kobersi, H. Kobeissi, J. Comput. Chem. 16, 723 (1995)
M.N. Angelova, V.K. Dobrev, A. Frank, Eur. Phys. J. D 31, 27 (2004)
F. Iachello, R.D. Levine, J. Chem. Phys. 77, 3046 (1982)
W.G. Sun, W.Y. Ren, S.L. Hou, H. Feng, Mol. Phys. 103, 2335 (2005)
H.A. Witek et al., J. Chem. Phys. 116, 8396 (2002)
F. Iachello, Chem. Phys. Lett. 78, 581 (1981)
Mi Xie, Xi-Wen Hou, Zhong-Qi Mab, Chem. Phys. Lett. 262, 1 (1996)
R. Lemus, A. Frank, J. Mol. Spectr. 201, 198 (2000)
Y. Zheng, S. Ding, J. Mol. Spectr. 201, 109 (2000)
F. Iachello, S. Oss, Eur. Phys. J. D 19, 307 (2002)
A.J. Macfarlane, J. Phys. A: Math. Gen. 22, 4581 (1989)
L.C. Biedenharn, J. Phys. A: Math. Gen. 22, L873 (1989)
E.M.F. Curado, M.A. Rego-Monteiro, J. Phys. A: Math. Gen. 34, 3253 (2001)
M. Rego-Monteiro, I. Roditi, L.M.C.S. Rodrigues, Int. J. Mod. Phys. B 8, 3281 (1994)
D. Bonatsos, C. Daskaloyannis, Prog. Part. Nuc. Phys. 43, 537 (1999)
N.M. Oliveira-Neto, E.M.F. Curado, F.D. Nobre, M.A. Rego-Monteiro, Physica A 344, 573 (2004)
D. Bonatsos, P.P. Raychev, A. Faessler, Chem. Phys Lett. 178, 221 (1991)
M. Angelova, Phys. Part. Nucl. 33, S37 (2002)
D. Bonatsos, C. Daskaloyannis, Phys. Rev. A 46, 75 (1992)
V. Spiridonov, Phys. Rev. Lett. 69, 398 (1992)
D. Bonatsos, C. Daskaloyannis, K.D. Kokkotas, Phys. Rev. A 45, R6153 (1992)
D. Bonatsos, C. Daskaloyannis, Chem. Phys. Lett. 203, 150 (1993)
K.D. Sviratcheva, C. Bahri, A.I. Georgieva, J.P. Draayer, Phys. Rev. Lett. 93, 152501 (2004)
A.W. Mantz et al., J. Mol. Spectr. 39, 180 (1971)
E.M.F. Curado, M.A. Rego-Monteiro, H.N. Nazareno, Phys. Rev. A 64, 012105 (2001)
V.B. Bezerra, E.M.F. Curado, M.A. Rego-Monteiro, Phys. Rev. D 65, 065020 (2002)
V.B. Bezerra, E.M.F. Curado, M.A. Rego-Monteiro, Phys. Rev. D 66, 085013 (2002)
L.S. Rothman et al., J. Quant. Spectr. Rad. Transfer. 82, 5 (2003)
J. de Souza, E.M.F. Curado, M.A. Rego-Monteiro, J. Phys. A (to be published)
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de Souza, J., Oliveira-Neto, N. & Ribeiro-Silva, C. A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum. Eur. Phys. J. D 40, 205–210 (2006). https://doi.org/10.1140/epjd/e2006-00155-6
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DOI: https://doi.org/10.1140/epjd/e2006-00155-6