Calculating the Fermi energy of a metal from the density of states

The Fermi energy of a metal can be determined from the electron density n and the density of states D(E) by integrating the density of states up to the Fermi energy Ef.

The form below calculates Fermi energy numerically from the density of states. The density of states is input as two columns of text in the textbox below. The first column is the energy in eV. The second column is the density of states in unit of eV-1 m-d, where d is the dimensionality (1,2, or 3). The electron density can be calculated from the number of electrons per unit cell and the volume of the unit cell or it can be input directly. After the 'Calculate Ef' button is pressed, the density of states is plotted and the filled states are shaded.

D(E) 

E [eV]

number of electrons per unit cell:  volume of a unit cell:  md 

n:  m-d 
d = dimensionality (1,2, or 3)

Ef =  eV

Density of states: E [eV], D(E) [eV-1 m-d]