Question

Calculate the Hall coefficient of sodium 2 points based on free electron model. Sodium has bcc structure and the side of the cube is 4.28 Å.

Answer 1

The expression for Hall coefficient:

$$R_H=\frac 1{ne}.$$

The concentration density is

$$n=\frac{\rho a^3N_A}{\Mu},$$

where

$\rho$ - density,

a - cell parameter,

N_A - Avogadro constant,

M - molar mass.

$$R_H=\frac{\Mu}{a^3e\rho N_A}=3.13·10^{18}\text{m}^3\text{/C}.$$