  In the framework of unitary Glauber approximation for particle-atom
scattering, we develop the general formalism of the Moliere-Fano multiple
scattering theory (M-F theory) on the basis of reconstruction of the
generalized optical theorem in it. We present rigorous relations between some
exact and first-order parameters of the Moliere multiple scattering theory,
instead of the approximate one obtained in the original paper by Moliere. We
consider the relative unitarity corrections and the Coulomb corrections to the
quantities of the M-F theory. Also, we examine their Z dependence in the range
of nuclear charge, from Z=4 to Z=92. Additionally, we show the difference
between our results and those of Moliere over this Z range.
