Interlayer mixing in thin film growth
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The technology of crystal growth has advanced enormously during the past two decades. Among these advances, the development and refinement of molecular beam epitaxy (MBE) has been among the most important. My dissertation addresses two important issues in MBE which have fundamental importance to understanding crystal growth for technological applications--surface segregation and solute trapping during planar film growth; and composition evolution during island growth. Mathematical models were constructed to describe both problems. We have successfully constructed a nonlinear model for the surface composition and obtained an analytical solution for the first problem. For the second problem, we developed a simple model for the time evolution of composition in the wetting layer, which can then be used to determine the island composition, and numerical solutions were found.