Question
Medium
Solving time: 5 mins
A semiconducting material has a band gap of 1 eV. Acceptor impurities are doped into it which create acceptor levels 1 meV above the valence band. Assume that the transition from one energy level to the other is almost forbidden if kT is less than 1/50 of the energy gap. Also if kT is more than twice the gap, the upper levels have maximum population. The temperature of the semiconductor is increased from 0 K. The concentration of the holes increases with temperature and after a certain temperature it becomes approximately constant. As the temperature is further increased, the hole concentration again starts increasing at a certain temperature. Find the order of the temperature range in which the hole concentration remains approximately constant.(Use Planck constant h = 4.14 × eV-s, Boltzmann constant k = 8·62 × eV/K.)
Text solutionVerified
Given band gap =
Net band gap after doping
According to the question,
For the maximum limit
Temperature range is (23.2-231.8).
Net band gap after doping
According to the question,
For the maximum limit
Temperature range is (23.2-231.8).
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Question Text | A semiconducting material has a band gap of 1 eV. Acceptor impurities are doped into it which create acceptor levels 1 meV above the valence band. Assume that the transition from one energy level to the other is almost forbidden if kT is less than 1/50 of the energy gap. Also if kT is more than twice the gap, the upper levels have maximum population. The temperature of the semiconductor is increased from 0 K. The concentration of the holes increases with temperature and after a certain temperature it becomes approximately constant. As the temperature is further increased, the hole concentration again starts increasing at a certain temperature. Find the order of the temperature range in which the hole concentration remains approximately constant.(Use Planck constant h = 4.14 × eV-s, Boltzmann constant k = 8·62 × eV/K.) |
Updated On | May 17, 2022 |
Topic | Semiconductor Electronics: Materials, Devices and Simple Circuits |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 Video solution: 1 |
Upvotes | 195 |
Avg. Video Duration | 7 min |