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A multislice theory has been developed for including the virtual inelastic scattering in dynamical calculations of high-energy electron diffraction. The effects on elastic waves of all inelastic processes, such as single-electron excitation, plasmon excitation and phonon scattering, can be characterized by a complex correction potential. Its real part describes the virtual inelastic process and its imaginary part represents the inelastic absorption effect. This potential is directly related to the generalized dielectric response function of the crystal.