An original method of treating the kinetic and exchange-correlation en
ergies functionals in terms of many particle interactions was develope
d. It is based on utilising the local density approximation. The fetal
electron density, extracted from the ab initio band structure calcula
tions, is expressed as a linear superposition of contributions from th
e individual pseudoions embedded in the uniform background. The explic
it expressions for the pair and triplet potentials are presented. The
general form for the part of the pair interatomic interactions caused
by the kinetic and the exchange-correlation effects is obtained. Relat
ionship between the developing approach and the perturbation theory in
pseudopotential is analysed. Unlike the perturbation theory the advan
ced approach allows one to calculate accurately the so-called reducibl
e contributions to the pair potential arising from the n-particle (n >
2) interactions. It corresponds to summing certain series in pseudopo
tential. Contribution of the electron-nonlocal pseudopotential interac
tions to the pair interatomic ones is considered within the concept of
the fully separable pseudopotentials.