How Does Temperature Affect Electron Occupation in a Fermi-Dirac Distribution?

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SUMMARY

The discussion focuses on calculating the probability of electron occupation in a Fermi-Dirac distribution at a temperature of 200K for an electron state with energy 0.14 eV above the Fermi energy. Participants confirm that the correct approach involves using the formula for the Fermi-Dirac distribution, where E - EF equals 0.14 eV. This calculation is essential for understanding electron behavior in semiconductors and metals at varying temperatures.

PREREQUISITES
  • Fermi-Dirac statistics
  • Understanding of energy levels in semiconductors
  • Basic thermodynamics related to temperature effects
  • Mathematical proficiency in using exponential functions
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  • Study the Fermi-Dirac distribution formula in detail
  • Explore the impact of temperature on electron mobility in semiconductors
  • Learn about energy band theory in solid-state physics
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Physicists, electrical engineers, and students studying solid-state physics or semiconductor technology will benefit from this discussion.

magnifik
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An electron state has energy 0.14 eV above the Fermi energy. What is the probability that the electron state will be occupied at T = 200K?

do i just use the following formula?
disfd2.gif


the part that throws me off is the "above the Fermi energy" bit. would i just plug that number in for E - Ef??
 
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Yep, it means that E = EF + 0.14 eV, so E - EF = 0.14 eV.
 

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