Diffuse scattering from crystalline solid solutions is used to measure local compositional order among the atoms, dynamic displacements (phonons), and mean species‐dependent static displacements. In locally ordered alloys, fluctuations of composition and interatomic distances break the long‐range symmetry of the crystal within local regions and contribute to the total energy of the alloy. Local ordering can be a precursor to a lower temperature equilibrium structure that may be unattainable because of slow atomic diffusion. In addition to local atomic correlations, neutron diffuse scattering methods can be used to study the local short‐range correlations of the magnetic moments. Interstitial defects, as opposed to the substitutional disorder defects described above, also disrupt the long‐range periodicity of a crystalline material and give rise to diffusely scattered x rays, neutrons, and electrons.
This article will concentrate on the use of diffuse x‐ray and neutron scattering from single crystals to measure local chemical correlations and chemically specific static displacements. Particular emphasis is placed on the use of resonant (anomalous) x‐ray techniques to extract information on atomic size from binary solid solutions with short‐range order. Here the alloys have a well‐defined average lattice but have local fluctuations in composition and displacements from the average lattice. In stoichiometric crystals with long‐range periodicity, sharp superlattice Bragg reflections appear. If the compositional order is correlated only over short distances, the superlattice reflections are so broadened that measurements throughout a symmetry related volume in reciprocal space are required to determine its distribution. In addition, the displacement of the atom pairs (e.g., the A‐A, A‐B, and B‐B pairs in a binary alloy) from the sites of the average lattice because of different atom sizes also contributes to the distribution of this diffuse scattering. By separating this diffuse intensity into its component parts—that associated with the chemical preference for A‐A, A‐B, and B‐B pairs for the various near‐neighbor shells and that associated with the static and dynamic displacements of the atoms from the sites of the average lattice—we are able to recover pair correlation probabilities for the three kinds of pairs in a binary alloy. The interpretation of diffuse scattering associated with dynamic displacements of atoms from their average crystal sites are discussed only briefly in this article.