Centrifugal distortion constants for diatomic molecules: an improved computational method

作者: J M Hutson

DOI: 10.1088/0022-3700/14/5/018

关键词: EigenfunctionPhysicsDifferential equationExcited stateHamiltonian (quantum mechanics)Diatomic moleculeClassical mechanicsExact solutions in general relativityQuantum mechanicsNumerical integrationPoincaré–Lindstedt method

摘要: The perturbation theory approach to calculating centrifugal distortion constants is reformulated eliminate summations over excited vibrational states. In the usual formulation of Rayleigh-Schrodinger theory, these appear when solution an inhomogeneous differential equation expressed as a sum eigenfunctions unperturbed Hamiltonian. present method, this solved numerically, eliminating and giving exact using much less computer time than in original method. are then calculated by straightforward numerical integration. effects continuum levels included exactly, so that results remain valid for near dissociation. Numerical tests performed realistic potential curves, method shown give accurate results.

参考文章(10)
Jeremy M. Hutson, Brian J. Howard, A new approach to perturbation theory for breakdown of the Born-Oppenheimer approximation Molecular Physics. ,vol. 41, pp. 1113- 1122 ,(1980) , 10.1080/00268978000103821
Joel Tellinghuisen, D.L. Albritton, Equivalent methods of calculating diatomic centrifugal distortion constants Journal of Molecular Spectroscopy. ,vol. 57, pp. 160- 163 ,(1975) , 10.1016/0022-2852(75)90050-8
L. I. Schiff, John H. Gardner, Quantum Mechanics, 3rd ed. American Journal of Physics. ,vol. 41, pp. 599- 600 ,(1973) , 10.1119/1.1987309
Sidney M. Kirschner, James K.G. Watson, RKR potentials and semiclassical centrifugal constants of diatomic molecules Journal of Molecular Spectroscopy. ,vol. 47, pp. 234- 242 ,(1973) , 10.1016/0022-2852(73)90007-6
D.L. Albritton, W.J. Harrop, A.L. Schmeltekopf, R.N. Zare, Calculation of centrifugal distortion constants for diatomic molecules from RKR potentials Journal of Molecular Spectroscopy. ,vol. 46, pp. 25- 36 ,(1973) , 10.1016/0022-2852(73)90024-6
Sidney M. Kirschner, James K.G. Watson, Second-order semiclassical calculations for diatomic molecules Journal of Molecular Spectroscopy. ,vol. 51, pp. 321- 333 ,(1974) , 10.1016/0022-2852(74)90060-5
J. David Brown, George Burns, Robert J. Le Roy, Improved Spectroscopic Data Synthesis for I2(B3ΠOu+) and Predictions of J Dependence for B(3ΠOu+)–X(1Σg+) Transition Intensities Canadian Journal of Physics. ,vol. 51, pp. 1664- 1677 ,(1973) , 10.1139/P73-220
A.W. Mantz, J.-P. Maillard, Won B. Roh, K. Narahari Rao, Ground state molecular constants of 12C16O Journal of Molecular Spectroscopy. ,vol. 57, pp. 155- 159 ,(1975) , 10.1016/0022-2852(75)90049-1
Alexander Dalgarno, J Trevor Lewis, None, The exact calculation of long-range forces between atoms by perturbation theory Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 233, pp. 70- 74 ,(1955) , 10.1098/RSPA.1955.0246