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Estimate the ratio of vacancies at (i) -119°C (ii) 80°C where average required to create vacancy is 1.8eV.
1 Answer
written 3.9 years ago by |
For Point defect (vacancy), we have the following relation
n=N×exp(−EvKT)
∴ nN=e−EvKT Using K=1.38×10−23 JK Ev=1.8×1.6×10−19 1) For t1=−119∘ C=−119+273=154 K ∴ nN=e−(1.8×1.6×1019)1.38×10−23×154=e−153.51=1.4084×10−59 **.............(Answer)** **2) For t2=80∘ C=80+273=353 K** ∴ nN=e−(1.8×1.6×1019)1.38×10−23×353=e−59.12=2.11×10−26