A MODEL FOR LIQUID-PHASE ELECTROEPITAXY UNDER AN EXTERNAL MAGNETIC-FIELD .1. THEORY

A continuum model for the liquid phase electroepitaxial (LPEE) growth process is presented. In the model the growth cell is assumed to be un der the effect of an intentionally applied external magnetic field in order to reduce the effect of natural convection induced by the temper ature and solute concentration gradients in the liquid phase. The fund amental equations are obtained from the basic principles of electrodyn amics of continua. The constitutive equations for the liquid and solid phases are derived from the principles of a rational thermodynamic th eory. The associated interface and boundary conditions are also presen ted. As an application, the resulting field equations are specialized through systematic simplifications for an axisymmetric growth cell con figuration used to grow gallium arsenide.