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QPages 419-421: Q5: HC Verma: Concepts of Physics - Volume 2 Semiconductors and Semiconductor Devices Pages 419-421: Q5 Solution: When a semiconducting material is doped with an impurity, new…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often insert $k=1.38\times10^{-23}\,\text{J/K}$ directly into $2kT$ and forget to convert the result to electron‑volts, yielding an answer off by a factor of $1.6\times10^{-19}$. Use $k=8.617\times10^{-5}\,\text{eV/K}$ or convert joules to eV before reporting the acceptor level energy.

When a semiconducting material is doped with an impurity, new acceptor levels are created. In a particular thermal collision, a valence electron receives an energy equal to 2kT2kT and just reaches one of the acceptor levels. Assuming that the energy of the electron was at the top edge of the valence band and that the temperature T is equal to 300 K, find the energy of the acceptor levels above the valence band.

Step-by-Step Verified Solution

**Answer:** Energy of acceptor levels = 50 meV. **Step-by-Step Explanation:** Given: Energy received = 2kT, T = 300 K. Energy = 2 _ 8.62 _ 10__ _ 300 = 0.0517 eV = 51.7 meV � 50 meV. This is the energy of the acceptor level above the valence band .

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