Steps to Calculate The Fermi Energy
We have the following steps to calculate the Fermi energy shown below
- Find out the Fermion’s rest mass value.
- For the system you are considering, find the number density N/V or N and V independently.
- Find the values of the relevant constants. This is the decreased Planck’s constant.
- Fill in the formula with the values and constants, then run the analysis.
Rest mass of fermions electron is mo = 9.1 x 10-31
Number density of copper is N/V = 8.5 x 10 28
Reduced planck constant h = 1.04 x 10-34
EF = (1.01 x 10-34 )2 (3π2 × 8.5 ×1028)2/3 / 2× 9.1 × 10−31
On calculating the following equation the EF = 1.1214 × 1018 J
To get value in electron volt divide EF with 1.6 x 10-19 so we get new EF = 7.0 eV
Fermi Energy
The concept of energy is difficult in physics since its meaning varies depending on the situation. For instance, energy can take on several forms in atoms and molecules, such as heat, electricity, light, and so forth. It gets considerably more complicated in quantum mechanics. Within this area of physics, scientists rely on ideas such as the Fermi energy, which is the energy of the highest-occupied quantum state at zero temperature in a system of fermions.
The phrase “Fermi energy” is frequently employed to denote the Fermi level, which is closely linked to but distinct from Fermi energy (also termed electrochemical potential). At least in the sense that they are used in this article, there are a few significant distinctions between the Fermi level and Fermi energy:
While the Fermi level is defined at any temperature, the Fermi energy is only defined at absolute zero. Whereas the Fermi level is the overall energy level made up of both kinetic and potential energy, the Fermi energy is an energy differential that typically corresponds to kinetic energy.
Table of Content
- Fermi Energy
- Calculation
- Steps to Calculate
- Application