Derive the following expression for the average impurity concentration over a particular length of crystal layer, z

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Derive the following expression for the average impurity concentration over a particular length of crystal layer, z2 – z1, after one pass or partial pass of zone melting.


e(1 - K) K(z2 – Z1) -lеxp( - 22 K /е) — ехp( -21 К /0)] + 1 W avg = Wo

Using the results of Example 17.14, calculate wavg for z1 = 0 and z2/ℓ = 9.

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