Frenkel Defects Show That The Number N Of Interstitial Atoms

Frenkel defects show that the number n of interstitial atoms in equilibrium with n lattice vacancies in a crystal having N lattice points and N’ possible interstitial positions is given by the equation E1 = kBT In [(N – n) (N’ – n)/n2], whence, for n << N, N’, we have n = (NN’)1/2 exp (– E1/2kBT). Here E1 is the energy necessary to remove an atom from a lattice site to an interstitial position.

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