Diffuse X-Ray Scattering in Powder Patterns Arising from Static Displacements in Cubic Solid Solutions

Abstract

The diffuse scattering arising from static atomic displacements from the average lattice sites has been evaluated for cubic powder patterns. This excess scattering results from elastic interactions between atoms of different size in binary solid solutions, and is compatible with the conservative intensity loss of the main reflections. The resultant scattering was found to take the form I_s = f̄²H(x) {1−exp[−2M′(x)]}, where H(x) is a weak modulation which varies by approximately 10% about unity.