Abstract
A recently developed partitioning of the vibrational-electronic Hamiltonian is coupled with analytical gradient techniques to calculate the energies of the first vibronic transitions for some simple molecular systems. The formulae for the first vibronic transition are presented. The corrections to harmonic frequencies due to electron correlation, anharmonicity and the non-adiabatic effects are derived using many-body perturbation theory (MBPT). For non-adiabatic effects, we present results for H2, HD and D2 and compare to reference values. About 70% of the non-adiabatic correction is recovered. Additional non-adiabatic corrections in H2O, NH3, and H2CO are reported for the first time. The comparison of the current method with that based upon gradient techniques is discussed.
This work has been supported by the U.S. ONR.
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References
Hubac I, Svrcek M (1988) Int J Quantum Chem 23:403.
Bartlett RJ (1981) Ann Rev Phys Chem 32:359 and references therein.
Born N, Oppenheimer R (1927) Ann Physik (Leipzig) 84:457.
Köppel H, Domcke W, Cederbaum LS (1984) Adv Chem Phys 57:59.
Pulay P (1987) Ab initio methods in quantum chemistry — II, John Wiley & Sons, Ltd., New York.
Gerratt J, Mills IN (1968) J Chem Phys 49:1719.
Gerratt J, Mills IM (1968) J Chem Phys 49:1730.
Pople JA, Krishnan R, Schlegel HB, Binkley JS (1979) Int J Quantum Chem S13:225.
Hubac I, Kvasnicka V, Holubec A (1973) Chem Phys Lett 23:381.
Paldus J, Cizek J (1975) Advan Quantum Chem 9:105.
Hubac I, Urban M (1977) Theor Chim Acta 45:185.
Hubac I, Carsky P (1978) Topics Curr Chem 75:97.
Harrison RJ, Fitzgerald GB, Laidig WD, Bartlett RJ (1986) Chem Phys Lett 124:291.
Kolos W, Wolniewicz L (1968) J Chem Phys 49:409.
Wolnicmicz L (1983) J Chem Phys 78:6173.
Dunning TH Jr (1970) J Chem Phys 53:2823.
Redmon LT, Purvis GD III, Bartlett RJ (1979) J Am Chem Soc 101:2856.
Davidson E, Feller (1984) Chem Phys Lett 104:54.
Herzberg G (1950) Spectra of diatomic molecules, Van Nostrand Reinhold Company, Inc., New York.
Hoy AR (1972) Mol Phys 24:1265.
Kuchitsu K, Guillory JP, Bartell LS (1968) J Chem Phys 49:2488.
Benedict WS, Plyler EK (1957) Can J Phys 35:1235.
Yamada K, Nakagawa T, Kuchitsu K, Morino Y (1971) J Mol Spectrosc 38:70.
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© 1989 Springer-Verlag Berlin Heidelberg
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Hubac, I., Svrcek, M., Salter, E.A., Sosa, C., Bartlett, R.J. (1989). Partitioning of the Vibrational-Electronic Hamiltonian. Ab Initio Correlated Calculations of the First Vibronic Transitions for Some Simple Molecules. In: Kaldor, U. (eds) Many-Body Methods in Quantum Chemistry. Lecture Notes in Chemistry, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93424-7_5
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DOI: https://doi.org/10.1007/978-3-642-93424-7_5
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