Fermi Energy One Dimensional Square Well

The Fermi Energy for One Dimensional Square Well calculator computes the energy between the highest and lowest occupied single-particle states of non-interacting fermions at absolute zero .

INSTRUCTIONS: Choose units and enter the following:

• (n) Quantum Number
• (m) Mass of Fermion
• (L) Length of Square Well

Fermi Energy (En): The results are returns in units of mega-electron volts (MeV).  However, these can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Fermi Energy equation for one dimensional square well equation is as follows:

`En = ((h^2*pi^2)/(2*m*L^2))*n^2`

where:

• En = Fermi Energy
• h = Planck's Constant
• m = mass of fermion
• L = Length of Square Well