Short-Range Order and Long-Range Order Parameters

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Abstract
The equations for the short-range order parameters relating to ordering in binary solid solutions, as previously derived by the author, have been rederived in a more satisfactory manner. Applying the equations to situations with long-range order, a more complete analysis of predictions regarding multiple long-range order parameters has been made. It is shown that long-range order parameters may be redefined in such a way that they provide a reasonable description of the state of order in situations involving finite crytal size, finite out-of-phase domain size, and fluctuations in composition.