Burton-Cabrera-Frank theory for surfaces with alternating step types

Burton-Cabrera-Frank (BCF) theory has proven to be a versatile framework relate surface morphology and dynamics during crystal growth the underlying mechanisms of adatom diffusion attachment at steps. For an important class surfaces, including basal planes hexagonal close-packed related systems, steps in sequence on vicinal can exhibit properties that alternate from step step. Here we develop BCF for such relating observables as alternating terrace widths function conditions kinetic coefficients We include effects transparency step-step repulsion. A general solution is obtained widths, assuming quasi-steady-state distributions terraces. An explicit simplified analytical under widely applicable approximations. From this obtain expressions full-steady-state fraction rate. Fits theoretical predictions recent experimental determinations steady state fractions GaN (0001) surfaces organometallic vapor phase epitaxy give values system. In Appendixes, also connect model between kinks terraces, which quantitatively relates kinetics atom kinks, consider limiting cases diffusion-limited, attachment-limited, mixed kinetics.