A method provides X-ray diffraction data suitable for integral detection of a twin defect in a strained or lattice-matched epitaxial material made from components having crystal structures having symmetry belonging to different space groups. The material is mounted in an X-ray diffraction (XRD) system. In one embodiment, the XRD system's goniometer angle Ω is set equal to (θB−β) where θB is a Bragg angle for a designated crystal plane of the alloy that is disposed at a non-perpendicular orientation with respect to the {111) crystal plane, and β is the angle between the designated crystal plane and a {111} crystal plane of one of the epitaxial components. The XRD system's detector angle is set equal to (θB+β). The material can be rotated through an angle of azimuthal rotation φ about the axis aligned with the material. Using the detector, the intensity of the X-ray diffraction is recorded at least at the angle at which the twin defect occurs.