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The general nature of these orbitals was described by the author (Slater, 1949) in a study of electrons in perturbed periodic lattices. We should now use these spin-orbitals as basis functions for studying the real behavior of the transition from the ground state to the excited state. The most interesting feature which would be introduced by this further study would be the multiplet structure. Just as with an isolated atom, this comes in only when we make linear combinations of determinantal functions, to give better approximations to the actual wave functions of Statistical Exchange in Self-Consistent Field 37 the states of the crystal.

Rev. 166, 974. ABULAFFIO, ADAMS, W. H. (1961). On the solution of the Hartree-Fock equation in terms of localized orbitals. J. Chem. Phys. 34, 89. ADAMS,W. H. (1962a). Orbital theories of electronic structure. J. Chem. Phys. 37, 2009. ADAMS, W. H. (1962b). Hartree-Fock perturbation method. J Chem. Phys. 37, 2507. ADAMS,W. H. (1966). Correction of configuration-interaction wave functions by perturbation theory. J. Chem. Phys. 45, 3422. ADAMS,W. H. (1967). Orbital self-consistent-field theory. I.

Nesbet, G . S. Painter, G. W. , W. E. Rudge, K. Schwarz, P. M. Scop, F. C. , E. C. Snow, A. C. Switendick, J. H. Terrell, E. D. Thompson, S. B. Trickey, R. E. Watson, T. M. Wilson, and J. H. Wood. Others who have been very helpful, though we have not had the pleasure of such close association, have been T. C. Collins, J. 0. Dimmock, R. N. Euwema, F. Herman, I. Lindgren, T. L. Loucks, J. B. Mann, D. J. Stukel, G . G . Wepfer, and Professor J. Yamashita. Finally, thanks go to the National Science Foundation, for long-continued and invaluable support of the research.

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