Fraction of electrons excited above fermi level

In summary, the "Fraction of electrons excited above fermi level" is the proportion of electrons in a material that have been excited to a higher energy state above the Fermi level. It is important in materials science because it provides insights into electron behavior and material properties. The calculation of this fraction involves dividing the number of excited electrons by the total number of electrons in the material. Factors such as temperature, impurities, and electric/magnetic fields can affect this fraction. The fraction is directly related to the electrical and thermal conductivity, as well as the optical and magnetic properties, of a material.
  • #1
blurrscreen
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For the fermi dirac distribution function for temperatures higher than 0 K, how do we approximate the number of electrons available for conduction?
 
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  • #2
blurrscreen said:
For the fermi dirac distribution function for temperatures higher than 0 K, how do we approximate the number of electrons available for conduction?
You could use a computer to do the integral numerically.
 

What is the "Fraction of electrons excited above fermi level"?

The "Fraction of electrons excited above fermi level" refers to the proportion of electrons in a material that have been excited from their ground state to a higher energy state above the Fermi level, which is the highest occupied energy level at absolute zero temperature.

Why is the "Fraction of electrons excited above fermi level" important in materials science?

The "Fraction of electrons excited above fermi level" is an important concept in materials science because it helps us understand how electrons behave in materials and how they contribute to the properties of the material. It can also provide insights into the electrical conductivity and thermal properties of a material.

How is the "Fraction of electrons excited above fermi level" calculated?

The "Fraction of electrons excited above fermi level" is calculated by dividing the number of excited electrons above the Fermi level by the total number of electrons in the material. This can be determined experimentally or through theoretical calculations using the electronic band structure of the material.

What factors can affect the "Fraction of electrons excited above fermi level"?

The "Fraction of electrons excited above fermi level" can be affected by several factors, including the temperature of the material, the presence of impurities or defects, and the strength of the applied electric or magnetic field. It can also be influenced by the electronic band structure and the type of material.

How does the "Fraction of electrons excited above fermi level" relate to the properties of a material?

The "Fraction of electrons excited above fermi level" is directly related to the electrical and thermal conductivity of a material, as well as its optical and magnetic properties. A higher fraction of excited electrons can lead to increased conductivity and enhanced optical and magnetic responses, while a lower fraction can result in insulating behavior.

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