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The Hartree-Fock equation is used as the basic equation. Selfconsistency is achieved by transforming the Hartree-Fock equation into the local orbitals equation. The results for solid Ar are found to be in excellent agreement with previous Hartree-Fock results. In the case of LiF the agreement is less good. The results are found to be in poor agreement with those obtained using free-electron exchange approximations. The effects of electron-electron correlation are included by means of the electronic polaron. If this correction is included the resulting band gaps are in reasonable agreement with experiment.
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Mickish et al. (1973) studied this question.
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