Diffusion induced segregation in the case of the ternary system sphalerite, chalcopyrite and cubanite by T. Blesgen, S. Luckhaus, and K. Bente

Crystal Research and Technology

Cryst. Res. Technol. 39, 969 (2004) - Abstract -

Diffusion induced segregation in the case of the ternary system sphalerite, chalcopyrite and cubanite

T. Blesgen, S. Luckhaus*, and K. Bente**

Max-Planck-Institute for Mathematics in the Sciences, Inselstraße 22-26, 04109 Leipzig, Germany
*Faculty for Mathematics and Computer Science, University of Leipzig, Augustusplatz 10-11, 04103 Leipzig, Germany
**Institute for Mineralogy, Crystallography and Materials Science, University of Leipzig, Scharnhorststraße 20, 04275 Leipzig, Germany

Keywords	structure gradients, phase transitions, ternary systems
PACS	61.43.BN, 64.75.+g, 81.10.Aj
DOI	10.1002/crat.200410282

A mathematical model for describing natural and experimental diffusion induced segregation (DIS) in the case of a (Zn,Fe)S single crystal with three coexisting phases is derived. As main result, a new and quite general segregation principle for ternary systems is discovered where one phase has a flat free energy density and serves as catalyst for the segregation of the other two phases. The model includes also a stochastic noise term to represent fluctuations of the copper concentration. Numerical simulations in 2-d underline the physical significance of the model and allow to make quantitative predictions.

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