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QPages 419-421: Q3: HC Verma: Concepts of Physics - Volume 2 Semiconductors and Semiconductor Devices Pages 419-421: Q3 Solution: Indium antimonide has a band gap of 0.23 eV between the valence …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often plug $E=0.23\,$eV into $k=1.38\times10^{-23}\,$J/K without converting the energy to joules, which yields a temperature off by a factor of $1\,\text{eV}=1.602\times10^{-19}\,$J. Always use the same unit system: either convert $E$ to joules or use $k=8.617\times10^{-5}\,$eV/K.

Indium antimonide has a band gap of 0.23 eV between the valence and the conduction band. Find the temperature at which kTkT equals the band gap.

Step-by-Step Verified Solution

**Answer:** T = 2670 K. **Step-by-Step Explanation:** Given: Band gap E = 0.23 eV, k = 8.62 _ 10__ eV/K. Set kT = E:
T=Ek=0.238.62×10−5=2670 KT = \frac{E}{k} = \frac{0.23}{8.62 \times 10^{-5}} = 2670 \text{ K}

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