513.001 Molecular and Solid State Physics

Return to
problem list

Wolfram Alpha

Physical
Constants

Periodic System
of Elements

      

Calculate the Fermi energy

The density of states for a particular material is given in the following figure.

Here E0 = 9.0E-20 J, E1 = 1.0E-19 J, E2 = 1.6E-19 J, E3 = 1.9E-19 J, E4 = 2.8E-19 J, E5 = 3.6E-19 J, and N0 = 4.0E+47 J-1m-3.

The total electron density is 1.0E+28 electrons/m³.

What is the Fermi energy at zero temperature? For a semiconductor, find the limiting value of the Fermi energy as the temperature approaches zero.

Ef = eV

What kind of material is this?