(a) Count the number of electron states N(E) with energy equal to or less than E in Equation 35.8 by finding the volume available to such states in the space with Cartesian coordinate axes nx, ny, nz. (Consider each set of positive integers, at the corner of a unit cube, and that lies inside a radius ?, and remember that there are two spin values per state.) (b) Differentiate N1E2 with respect to E to obtain Equation 37.5.

Transcribed Image Text:

Vn? + n + n 2 2