Answer to Question #238923 in Physics for Reena

Question

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

Answer 1

The Hall coefficient is

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

Also, we know that

$\frac{\Mu}{\rho}=a^3\frac{N_A}{n}\space\rightarrow\space n=\frac{\rho a^3N_A}{\Mu},\\\space\\ R_H=\frac{\Mu}{e\rho a^3N_A}=\\\space\\ =\frac{23·10^{-3}}{(1.602·10^{-19})(971)(4.28·10^{-10})^3(6.022·10^{23})}=\\\space\\ =3.13·10^{18}\text{ m}^3/\text{C}.$