Statistical Mechanics · Problem 8.16

Statistical Mechanics of Interacting Systems: The Method of Cluster Expansions — R. K. Pathria

Physics — Statistical Mechanics · fermi-energy-sodium-conduction-electrons

Problem

The observed value of

\gamma

, see eqn. (8.3.6), for sodium is

4.3 \times 10^{-4}

cal mole

^{-1}

^{-2}

. Evaluate the Fermi energy

\varepsilon_F

and the number density

n

of the conduction electrons in the sodium metal. Compare the latter result with the number density of atoms (given that, for sodium,

\rho = 0.954

g cm

^{-3}

and

M = 23