Abstract
All previous chapters were concerned with the solution of the electronic Schrödinger equation. As it was shown, very accurate energies can be obtained using EC wave functions. Energies calculated from the electronic Schrödinger equation can then be used as the potential for solving the rotation-vibration problem of a molecule. This procedure (the Born-Oppenheimer, BO, approximation) neglects the coupling between the nuclear and electronic movements. It can be taken care of, in the lowest order, by adding a term called the adiabatic correction to the electronic potential. The fully nonadiabatic (all-particle) approach is much more difficult and has only been applied in a handful of quantum molecular calculations of small systems.
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References
W. Kolos, Adv. Quantum Chem. 5, 99 (1970).
J. O. Hirschfelder and E. P. Wigner, Proc Natl. Acad. Sci. 21, 113 (1935).
W. Kolos and L. Wolniewicz, Rev. Modern Phys. 35, 473 (1963).
W. Kolos and L. Wolniewicz, J. Chem. Phys. 41, 3674 (1964).
D. M. Bishop and L. M. Cheung, Phys. Rev. A 18, 1846 (1978).
D. B. Kinghorn and L. Adamowicz, J. Chem. Phys. 110, 7166 (1999).
D. B. Kinghorn and L. Adamowicz, Phys. Rev. Lett. 83, 2541 (1999).
S. Bubin and L. Adamowicz, J. Chem. Phys. 118, 3079 (2003).
L. Wolniewicz, J. Chem. Phys. 103, 1792 (1995).
B. Chen and J. B. Anderson, J. Chem. Phys. 102, 2802 (1995).
C. E. Scheu, D. B. Kinghorn, L. Adamowicz, J. Chem. Phys. 114, 3393 (2001).
M. Cafiero and L. Adamowicz, Phys. Rev. Lett. 88, 033002 (2002).
M. Cafiero and L. Adamowicz, J. Chem. Phys. 116, 5557 (2002).
M. Born and J. R. Oppenheimer, Ann. Phys. 84, 457 (1927).
J. C. Slater, Proc. Natl. Acad. Sci., 13, 423 (1927).
M. Born, Nachr. Akad. Wiss. Göttingen 1 (1951).
M. Born and K. Huang, Dynamical Theory of Crystal Lattices, Oxford University Press, New York (1956).
R. D. Bardo and M. Wolfsberg, J. Chem. Phys. 68, 2686 (1978).
H. Sellers and P. Pullay, Chem. Phys. Lett. 103, 463 (1984).
H. Sellers, Chem. Phys. Lett. 108, 339 (1984).
N. C. Handy, Y. Yamaguchi, and H. F. Schaefer III, J. Chem. Phys. 84, 4481 (1986).
A. G. loannou, R. D. Amos, and N. C. Handy, Chem. Phys. Lett. 251, 52 (1996).
N. C. Handy and A. M. Lee, Chem. Phys. Lett. 252, 425 (1996).
W. Kutzelnigg, Mol. Phys. 90, 909 (1997).
W. Cencek and W. Kutzelnigg, Chem. Phys. Lett. 266, 383 (1997).
J. H. Van Vleck, J. Chem. Phys. 4, 327 (1936).
A. Dalgarno and R. McCarroll, Proc. R. Soc. London, Ser. A 237, 383 (1956).
W. Kolos and L. Wolniewicz, Acta Phys. Pol. A 20, 129 (1961).
W. Kolos and L. Wolniewicz, J. Chem. Phys. 41, 3663 (1964).
L. Wolniewicz, J. Chem. Phys. 78, 6173 (1983).
W. Kolos and J. Rychlewski, J. Chem. Phys. 98, 3960 (1993).
L. Wolniewicz, J. Chem. Phys. 99, 1851 (1993).
W. Cencek and J. Rychlewski, unpublished data.
A. Balakrishnan, V. Smith, and B. P. Stoicheff, Phys. Rev. Lett. 68, 2149 (1992).
W. C. Stwalley, Chem. Phys. Lett. 6, 241 (1970).
A. Balakrishnan and B. P. Stoicheff, J. Mol. Spectrosc. 156, 517 (1992).
Ch. Jungen, I. Dabrowski, G. Herzberg, and M. Vervloet, J. Mol. Spectrosc. 153, 11 (1992).
J. M. Gilligan and E. E. Eyler, Phys. Rev. A 46, 3676 (1992).
W. Kolos and L. Wolniewicz, J. Chem. Phys. 50, 3228 (1969).
L. Wolniewicz and K. Dressler, J. Mol. Spectrosc. 67, 416 (1977).
K. Dressler and L. Wolniewicz, J. Mol. Spectrosc. 86, 534 (1981).
L. Wolniewicz and K. Dressler, J. Chem. Phys. 82, 3292 (1985).
L. Wolniewicz and K. Dressler, J. Chem. Phys. 100, 444 (1994).
T. Orlikowski, G. Staszewska, and L. Wolniewicz, Mol. Phys. 96, 1445 (1999).
W. Cencek and J. Komasa, to be published.
L. Wolniewicz, J. Chem. Phys. 105, 10691 (1996).
L. Wolniewicz, J. Chem. Phys. 109, 2254 (1998).
L. Wolniewicz and K. Dressler, J. Mol. Spectrosc. 77, 286 (1979).
E. Reinhold, W. Hogervorst, and W. Ubachs, Phys. Rev. Lett. 78, 2543 (1997).
E. Reinhold, W. Hogervorst, W. Ubachs, and L. Wolniewicz, Phys. Rev. A 60, 1258 (1999).
J. Rychlewski, Phys. Rev. Lett. 63, 1223 (1989).
W. Kolos and J. Rychlewski, J. Mol. Spectrosc. 143, 212 (1990).
J. Rychlewski, Phys. Rev. A 45, 5270 (1992).
W. Kolos and J. Rychlewski, J. Mol. Spectrosc. 177, 146 (1996).
W. Kolos and J. Rychlewski, J. Mol. Spectrosc. 169, 341 (1995).
R. Röhse, W. Kutzelnigg, R. Jaquet, and W. Klopper, J. Chem. Phys. 101, 2231 (1994).
W. Meyer, P. Botschwina, and P. G. Burton, J. Chem. Phys. 84, 891 (1986).
B. M. Dinelli, C. R. Le Sueur, J. Tennyson, and R. D. Amos, Chem. Phys. Lett. 232, 295 (1995).
W. Cencek, J. Rychlewski, R. Jaquet, and W. Kutzelnigg, J. Chem. Phys. 108, 2831 (1998).
R. Jaquet, W. Cencek, W. Kutzelnigg, and J. Rychlewski, J. Chem. Phys. 108, 2837 (1998).
J. Komasa, W. Cencek, and J. Rychlewski, Chem. Phys. Lett. 304, 293 (1999).
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Rychlewski, J., Cencek, W. (2003). Adiabatic Calculations Using Explicitly Correlated Wave Functions. In: Rychlewski, J. (eds) Explicitly Correlated Wave Functions in Chemistry and Physics. Progress in Theoretical Chemistry and Physics, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0313-0_5
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DOI: https://doi.org/10.1007/978-94-017-0313-0_5
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