Question

1. Use Drude's model to estimate - resistivity - mobility the mean scattering time - Hall coefficient for silver and aluminum at room temperature and 77 K. Electrical silver and aluminum are correspondingly 6.3.10, and 3.77-10'a m-1

Answer 1

Drude�s Model to Estimate Resistivity R = P l/A = 1/sigma l/A = L/A 1/sigma [because sigma = ne^2 tau/m] where tau = lambda/v therefore R = l/A m/ne^2 tau therefore R = lm/A ne^2 tau ohm of R + l m v/A ne^2 lambda Mobility v_d = mu E therefore mu = v_d/E because i = ne A v_d i/A = ne v_d J = ne v_D J/ne = v_d and v_d = a lambda/v = eE/m lambda/v therefore mu = v_d/E = e lambda/mv Hence mu = e lambda/mv \r\n Mean scattering time tau = lambda/v Hall Coefficient Equations Motion with B_z: - dP/dt + p(t)/tau = -e(E + P times B/m) In steady state current is time-independent and hence p(t)/tau = -e(E + P times B/mv) P lambda/tau = -eE_x - e p_y B/m P_y/tau = -e y_x + e P_x B/m sigma_0 E_x = j_x + w tau_jy sigma_0 Ey = -w tau_jx + jy