The scattering of N-body correlated systems from a non-overlapping multi-center periodic potential is formulated in terms of scattering path operators. An expansion og the total T-matrix in terms of scattering path operators is derived. Special attention is devoted to the separation of the geometrical arrangement of the scattereres from the internal correlation of the scattered compound. The role of internal correlation is illustrated in the case of the scattering of correlated electron pairs from a perfect crystal potential and the electron-pair excitation from core levels into the vacuum upon a photon absorption.