Hint:Although the band gap and the density of states vary with temperature, those variations are much slower compared to the exponential factor e^(-Eg/2KT). Please give some insight to this problem and go over the equations and steps needed to solve for the Max temperature. Thank you

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter12: The Solid State
Section: Chapter Questions
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Hint:Although the band gap and the density of states vary with temperature, those variations are much slower compared to the exponential factor e^(-Eg/2KT). Please give some insight to this problem and go over the equations and steps needed to solve for the Max temperature. Thank you .
A GaAs device is doped with a donor concentration of 3 x 10¹5 cm-3. For the device
to operate properly, the intrinsic carrier concentration must remain less than 5 percent
of the total electron concentration. What is the maximum temperature that the device
may operate?
Transcribed Image Text:A GaAs device is doped with a donor concentration of 3 x 10¹5 cm-3. For the device to operate properly, the intrinsic carrier concentration must remain less than 5 percent of the total electron concentration. What is the maximum temperature that the device may operate?
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