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Burton-Cabrera-Frank theory for surfaces with alternating step types | | Guangxu Ju
; Dongwei Xu
; Carol Thompson
; Matthew J. Highland
; Jeffrey A. Eastman
; Weronika Walkosz
; Peter Zapol
; G. Brian Stephenson
; | | Date: |
16 Oct 2020 | | Abstract: | Burton-Cabrera-Frank (BCF) theory has proven to be a versatile analysis to
relate surface morphology and dynamics during crystal growth to the underlying
mechanisms of adatom diffusion and attachment at steps. For an important class
of crystal surfaces, including the basal planes of hexagonal close-packed and
related systems, the steps in a sequence on a vicinal surface can exhibit
properties that alternate from step to step. Here we develop BCF theory for
such surfaces, to relate observables such as the alternating terrace widths as
a function of growth conditions to the kinetic coefficients for adatom
attachment at steps. We include the effects of step transparency and step-step
repulsion. A general solution is obtained for the dynamics of the terrace
widths assuming quasi-steady-state adatom distributions on the terraces, and an
explicit simplified analytical solution is obtained under widely applicable
approximations. We obtain expressions for the steady-state terrace fractions as
a function of growth rate. Limiting cases of diffusion-limited,
attachment-limited, and mixed kinetics are considered. | | Source: | arXiv, 2010.09575 | | Services: | Forum | Review | PDF | Favorites | |
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