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
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
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Formula Source: University Physics
by Young & Freedman
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.