The edge-to-edge matching model has been used to predict the orientation relationships (ORs) between crystals that have simple hexagonal-close-packed (HCP) and face-centered-cubic (FCC) structures. Using the critical values for the interatomic spacing misfit along the matching directions and the d-value mismatch between matching planes, a total of seven ORs have been predicted for the most common HCP/FCC metallic systems. However, the ORs that appear more frequently in a particular system depend on the type of matching directions and the interatomic spacing misfit along these directions together with the d-value mismatch between the matching planes. The latter two are related to the lattice parameters of both phases. For example, in the Al/Ag 2 Al system, three ORs have been predicted.
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