Vineyard's Theory of the Kinetics of Ordering and Lidiard's Consistency Conditions

Lidiard's consistency conditions are extended to the case of alloys of face centered cubic structure. By separating the jump rates into a part originating in the saddle point atoms and a part originating in the other neighbors it is shown that a Vineyard type of theory does not verify Lidiard's consistency conditions except in the limiting cases of complete order and complete disorder.