Density of States
The density of states (DOS) corresponds to electrons with a spherically-symmetric parabolic dispersion
- ,
with two electrons (one of each spin) per each "quantum" of the phase space, . In 3D, this corresponds to
- ,
where is the total volume.
Combining the expressions for the Fermi energy and the DOS, one can show that the following relationship holds at the Fermi level:
where Z is the charge of each of the N metal ions in the crystal.
Read more about this topic: Free Electron Model
Famous quotes containing the word states:
“... no young colored person in the United States today can truthfully offer as an excuse for lack of ambition or aspiration that members of his race have accomplished so little, he is discouraged from attempting anything himself. For there is scarcely a field of human endeavor which colored people have been allowed to enter in which there is not at least one worthy representative.”
—Mary Church Terrell (1863–1954)