Energy-loss spectrum for inelastic scattering of charged particles in disordered systems near the critical point

The behavior of the theoretically predicted correlational ''fine'' energy-loss spectrum of inelastic electron scattering in disordered systems close to single resonance is investigated near the critical point. In extending our earlier work, it is shown that the relation of the statistical expression of the cross section of energy loss to the function which describes the lineshape in an ideal gas asymptotically increases near the critical point as a power law. ''Fracton'' interpretation of display of the localization of a single excitation in disordered systems in the resonance-line shape of the energy-loss spectrum is suggested. The possibility of direct determination of the pair distribution function (without Fourier transformation of the structure factor) using the method of charged-particle scattering is discussed