Affordable Access

Publisher Website

On the diffusion problem for a rotating spiral shaped boundary

Authors
Journal
Journal of Crystal Growth
0022-0248
Publisher
Elsevier
Publication Date
Volume
53
Issue
2
Identifiers
DOI: 10.1016/0022-0248(81)90081-6

Abstract

Abstract The diffusion problem of growth units on a crystal surface which contains a given step pattern is analyzed. An integral equation for the step advance velocity is derived and applied to the case of a growth spiral. The resulting non-linear integral equation for the spiral shape is studied further. An exact relation is obtained between the central radius of curvature of the spiral and the interstep distance at large distances from the centre. A second, approximate, relation is obtained, using the Taylor and asymptotic series of the non linear integral equation, and assuming a smooth change over from the solution in the inner and in the outer spiral regions. Combining these two relations spiral growth rates and slopes of growth hillocks are obtained.

There are no comments yet on this publication. Be the first to share your thoughts.