Crystal truncation rods from miscut surfaces with alternating terminations

Miscut surfaces of layered crystals can exhibit a stair-like sequence terraces having periodic variation in their atomic structure. For hexagonal close-packed and related crystal structures with an {\alpha}{\beta}{\alpha}{\beta} stacking sequence, there have been long-standing questions regarding how the differences adatom attachment kinetics at steps separating affect fractional coverage {\alpha} vs. {\beta} termination during growth. To demonstrate surface X-ray scattering help address these questions, we develop general theory for intensity distributions along truncation rods (CTRs) miscut combination two terminations. We consider half-unit-cell-height steps, coverages above each step. Example calculations are presented GaN (0001) various reconstructions. These show which CTR positions most sensitive to compare profiles exactly oriented those vicinal small angle, investigate circumstances under profile is equal sum intensities corresponding family CTRs surface.