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A general diffraction theory is presented for the diffuse scattering by correlated microdomains within a disordered structure. The theory applies to crystals with several atoms per unit cell and several types of different microdomains. An analytical expression is given for an assumed distribution function of the microdomains within the disordered matrix of the host. Since the analytical Fourier transform of this distribution function is also given, very fast calculation of the diffuse intensity is possible.