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Solid State Physics

December 8, 2016
Published By : Pratik Kataria
Categorised in:

(1) Current,
$$ I = neυ_dA $$
υ = velocity of electrons

n = carrier concentration

(2) Fermi Dirac distribution,
$$ P(E_c) = {N}/{1+e^{({E_c-E_f}/{KT})}} $$
$P(E_c)$ = probability that an electron occupies energy $E_c$

(3) $ E_f={E_c + E_v}/{2} $

(4) $I_E = I_B + I_C$

(5) Current density,
J = I/A

(6) Hall voltage,

$$ V_H = {1}/{ne} . {BID}/{A} = {BJd}/{ne} $$

Charge density, ρ = n e
Area, A = d W
where, W = Width of specimen in the direction of magnetic field

$$ V_H = {BI)/{ρW} $$

(7) Hall Coefficient,
$$ R_H = 1/{ne} = 1/ρ $$

(8) Hall angle,
$$ Ɵ_H = tan^{-1} (μB) $$

(9) Mobility of carrier,
$$ μ = R_H σ $$