Question

The band gap for silicon is 1.1 eV. (a) Find the ratio of the band gap to kT for silicon at room temperature 300 K. (b) At what temperature does this ratio become one tenth of the value at 300 K ? (Silicon will not retain its structure at these high temperatures.)

Answer 1

Given Band gap =$1.1eV,T=300K$

$\left(a\right)Ratio=\frac{1.1}{KT}$

$=\frac{1.1}{8.62\times {10}^{-5}\times 3\times {10}^2}$

$=42.53=43$

$\left(b\right)4.253=\frac{1.1}{8.62\times {10}^{-5}\times T}$

$T=\frac{1.1\times {10}^5}{4.253\times 8.62}$

$=3000.47K$