Question: Derive the equations given in the text for the number of defects at equilibrium, n eq , for Schottky and Frenkel defects. You will find

Derive the equations given in the text for the number of defects at equilibrium, neq, for Schottky and Frenkel defects. You will find the following expressions useful: for large x,

d In(x!)=xln(x) - x, ((c-x) in(c - x)) =-In(c  x)  1, and  (xln(x)) = In(x) + 1. dx

d In(x!)=xln(x) - x, ((c-x)In(c-x)) = -In(c x) 1, and (xln(x)) = In(x) + 1. dx

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