Methods, based both on the density functional and on the correlation factor, are analyzed by applying them to the correlation energy calculation of twohyphen; and fourhyphen;electron closed shell atoms; so that only the short range electron correlation is considered. The method based on the correlation factor seems to be more promising than those of the density functional. However, in the present state of development, there are some serious deficiencies that limit their application to atomic and molecular calculations.
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