Fermi Energy Calculator
Calculate Fermi energy and related properties for free electron systems
About Fermi Energy
The Fermi energy is the highest energy level occupied by electrons at absolute zero temperature. It determines the electrical and thermal properties of metals and semiconductors.
Formulas:
- 3D: EF = (ℏ²/2m)(3π²n)^(2/3)
- 2D: EF = πℏ²n/m
- 1D: EF = (ℏ²/2m)(πn/2)²
Typical Values:
- Copper: 7.0 eV
- Silver: 5.5 eV
- Gold: 5.5 eV
- Aluminum: 11.7 eV