Abstract
All the possible phase diagrams of a three-dimensional semi-infinite spin 1-Ising model interacting with a crystal-field interaction as a function of the ratio of bulk and surface interactions and the ratio of bulk and surface crystal fields have been determined. Within the framework of the mean-field approximation eight generic types of phase diagrams can be found. It is also shown that such a system can exhibit a variety of phase transitions and multi-critical points.
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