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Molecules and Crystals

Problem 6.207

Find the minimum energy of electron-hole pair formation in an impurity-free semiconductor whose electric conductance increases η=5.0\eta=5.0 times when the temperature increases from T1=T_{1}= =300 K=300 \mathrm{~K} to T2=400 KT_{2}=400 \mathrm{~K}

Reveal Answer
Emin⁡=2kT1T2T2−T1ln⁡η=0.33eVE_{\min }=\frac{2 k T_{1} T_{2}}{T_{2}-T_{1}} \ln \eta=0.33 \mathrm{eV}
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