What is the probability of an electron being thermally promoted to conduction band in diamond at 27C, if bandgap is 5.6 eV wide?

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written 8.4 years ago by

teamques10 ★ 68k

• modified 8.4 years ago

Mumbai university > FE > SEM 1 > Applied Physics 1

Marks: 3M

Year: May 2015

engineering physics

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1 Answer

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written 8.4 years ago by

teamques10 ★ 68k

Given:

T = 300k

$E_g = 5.6ev$

To find: F(E)= ?

Soln: $F(E) = \frac{1}{1 + exp^{\frac{E_R}{2KT}}}$

$ = \frac{1}{1 + exp^{\frac{5.6 × 1.6 × 10^{-19}}{2 × 1.38 × 10^{-23} × 300}}}$

$ = \frac{1}{1 + e^{0.01 × 10^4}}$

$ = \frac{1}{1+ 5.921 × 10^{47}}$

$ = \frac{1}{5.921 × 10^{47}}$

$ = 0.1688 × 10^{-47}$

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