The simplest atomic crystals, i.e. rare-gas solids, are qualitatively
different from other dielectrics by a high atomic ionization potential
which inhibits the formation of covalent bindings and provides a simp
le electronic structure: an excited weakly bound electron moves in the
free space between inert atoms placed in the lattice sites. The tradi
tional self-consistent scheme takes no account of the strongly differe
nt motion conditions for the outer electron and the tight bound electr
ons of the lattice atoms. It is just this difference which is used in
the present review to construct the adiabatic approximation: the fast
atomic electrons are adjusted to an instantaneous position of the slow
outer electron. The electronic excitations of the rare-gas crystals a
re adequately described by the adiabatic theory which is simultaneousl
y developed for a large class of free atoms. The crystal properties ar
e derived From the atomic constants (ionization potentials and polariz
ability), the new features originating from the crystalline state brin
g pointed out. The adiabatic theory differs from known model approache
s by the inferential criterion of applicability which guarantees a cer
tain calculation accuracy. The theory is comprehensively verified by c
omparison with spectroscopic data and, as a rule, agrees well with exp
eriment. In the cases, where the discrepancy exceeds the calculation a
ccuracy, it is indicative of new physical mechanisms.