Abstract.
The potential energy surface of the tetratomic molecule HCCF is determined by the U(4) algebraic method. The combination coefficients in the Hamiltonian are gotten from fitting the spectroscopic data. The molecular properties, such as, force constants and dissociation energies, are obtained in terms of the potential energy surface. A saddle point is also derived.
Similar content being viewed by others
References
J.N. Murrell et al. , Molecular Potential Energy Functions(Mid-country Press, London)
S. Ding, Y. Zheng, J. Chem. Phys. 111, 4466 (1999)
Y. Zheng, S. Ding, Chem. Phys. 247, 225 (1999); Chem. Phys. 255, 217 (2000)
A. Arima, F. Iachello, Ann. Phys. (N.Y.) 99, 253 (1976)
D.H. Feng, R. Gilmore, Phys. Lett. B 90, 327 (1980)
H.J.L ipkin, N. Meshkov, A.J. Glick, Nucl. Phys. 62, 188 (1965)
D. Guan et al. , Chem. Phys. 224, 243 (1997); 233, 35 (1998)
D. Guan et al. , Int. J. Quant. Chem. 65, 159 (1997); Int. J. Quant. Chem. 63, 981 (1997); Chem. Phys. 218, 1 (1997)
F. Iachello, R.D. Levine, J. Chem. Phys. 77, 3046 (1982)
O.S. van Roosmalen, F. Iachello, R.D. Levine, A.E.L. Dieperink, J. Chem. Phys. 79, 2515 (1983)
I. Benjamin, R.D. Levine, Chem. Phys. Lett. 117, 314 (1985)
I.L. Cooper, R.D. Levine, J. Mol. Struct. (Theochem) 199, 201 (1989)
Y. Zheng, S. Ding, J. Math. Chem. 28, 193 (2000)
M. Wang, S. Ding, Phys. Rev. A. 66, 022506 (2002)
F. Iachello, R.D. Levine, Algebraic Theory of Molecules (Oxford University Press, Oxford, 1995)
F. Iachello, S. Oss, L. Viola, Mol. Phys. 78, 545 (1993)
O.S. van Roosmalen, A.E.L. Dieperink, Ann. Phys. (NY) 139, 198 (1982)
E.B. Wilson, J.C. Decius Jr, P.C. Cross, Molecular Vibrations (McGraw-Hill, New York, 1955)
M.H. Protter, C.B. Morrey Jr, Modern Mathematical Analysis (Addison-Wesley, London, 1964)
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 17 November 2003, Published online: 9 March 2004
PACS:
02.20.Sv Lie algebras of Lie groups - 34.20.Cf Interatomic potentials and forces
Rights and permissions
About this article
Cite this article
Wang, X., Ding, S. Saddle points of the potential energy surface for HCCF determined by an algebraic approach. Eur. Phys. J. D 29, 337–343 (2004). https://doi.org/10.1140/epjd/e2004-00032-4
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2004-00032-4