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In coincident site lattice (CSL) theory, the degree of fit (¦²) between the structures of the two grains is described by the reciprocal of the ratio of coincidence sites to the total number of sites. Thus a boundary with high ¦² might be expected to have a higher energy than one with low ¦². Low-angle boundaries, where the distortion is entirely accommodated by dislocations, are ¦²1. Some other low ¦² boundaries have special properties especially when the boundary plane is one that contains a high density of coincident sites. Examples include coherent twin boundaries (¦²3) and high-mobility boundaries in FCC materials (¦²7). Deviations from the ideal CSL orientation may be accommodated by local atomic relaxation or the inclusion of dislocations into the boundary.
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