The paper deals with computer simulation for growth and dissolution of ternary CdHgTe compounds in liquid-phase epitaxy (LPE) systems. The mathematical model accounts for the matter transport in both solid and liquid phases and the equilibrium phase diagram. The study displays the effect of solid-state diffusion on compositional grading at the substrate-layer boundary, on the formation of concentration distribution in both phases and on interface motion. The simulation has been done for isothermal conditions. (c) 2006 Elsevier B.V. All rights reserved.