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Extra resources for Advances in Chemical Physics: Intermolecular Forces, Volume 12
MEATH electrons, the space and spin portions of the wave function do not separate. lo6 There are many people who are currently trying to develop a more satisfactory form of perturbation theory that can be used for the calculation of intermediate-range intermolecular forces. Each of the proposed methods70*107-110 is subject to criticism and, therefore, we confine ourselves to those statements which we can make with confidence. The eventual goal is to express the first-order wave function in closed form and to obtain the second- and third-order energies (including exchange terms) by quadrature.
43 a. C. Diagonal Deviations from the Separation of Electronic and Nuclear Coordinates" (See Sec. 0 E'(v:) E'(V:) E'(Vt. 51The " diagonal " corrections for electronic-nuclear coupling are quite different from those for the ground-state calculation. 1 cm-' which is larger by an order of magnitude than the corresponding correction for the ground state and has the opposite sign. For this excited state of H,, the agreement of the Born-Oppenheimer results for the dissociation energy with experiment is not nearly as good as for the ground state; the adiabatic approximation gives an excellent result.
51 NATURE OF INTERMOLECULAR FORCES The probability of transitions from one potential energy curve to another"*34 has been discussed in Section 11. D. Very Small Separations In the region of very small separations, perturbation techniques can again be used to good advantage. However, the zeroth-order wave function corresponds to the united atom and the resulting treatment does not properly belong in the realm of intermolecular forces. '21*'22 They find that the united atom expansion of the interaction energy of two atoms has the form Eab= ZaZb/R+ C o + C 2 R 2+ C 3 R 3 + C4R4+ C 5 R 5+ CLR' In ( R ) + * - (85) The presence of the R' In ( R ) term indicates that R is not a natural perturbation parameter.
Advances in Chemical Physics: Intermolecular Forces, Volume 12