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Example for Fermi-Dirac distribution

5 years ago in Case Study By Abhay R


Please explain Fermi-Dirac origin of distribution function with an example. I know the definition and how it works. But I want a few examples.

All Answers (4 Answers In All)

By Arjun Patel Answered 5 years ago

Abhay, consider a system with energy levels 0.5,1.5,2.5,3.5…this system will now have 20 electrons. The energy level( minimum) of this system will correspond to a situation when all 20 electrons occupy energy levels with no more than 2 electrons in a level. This situation occurs when T=0K and energy is 100eV. Now set the total energy to 105eV (5eV more than minimum energy). This is to ensure that system is at non-zero temperature. There are about 20 configuration which can satisfy this constraint.


By Aarav Answered 5 years ago

Arjun you are absolutely right. abhay, by using the example given by arjun you can have 20 configurations. The best fit for Fermi-Dirac function is 9.998eV and T=16,800K.


By Abhay R Answered 5 years ago

Thank you so much for the example. It was indeed very informative and yes it did serve its purpose. Using this example, I will try to draw an energy level diagram and also a probability vs energy graph.


By Keerthi Gupta Answered 5 years ago

For more information about this concept visit https://www.electrical4u.com/fermi-dirac-distribution-function/


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