# Homework Help: Interstitial position probability?

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1. May 7, 2015

### fordahwin

1. The problem statement, all variables and given/known data
A silicon crystal is being doped with Ni atoms. The formation energies for substitutional and interstitial Ni atoms are Es= 0.74 eV and Ei=0.16 eV, respectively. At 320 centigrade, what is the probability for a Ni atom to be placed in an interstitial configurations?

2. Relevant equations
$\frac{n_v}{N} = e^{-\frac{Q}{RT}}$

3. The attempt at a solution
I started this problem by calculating the number of vacancies for the substitutional and interstitial energy at 320 C. However, I am not so sure where to go from there. Would would I use this equation to get a probability?

2. May 12, 2015