explain diffusiondiffusion though the mobility of

Question

Explain Diffusion.

Diffusion: Though, the mobility of the carriers in a semiconductor is greater than the electrons in metals, the conductivity in the former is much less than which in the latter due to the too little current carriers. The conductivity is much less that the random movement of the carriers because of unequal carrier densities plays a greater part in conduction than the drift because of the applied fields. Diffusion arises fundamentally from density difference and resulting current is termed as diffusion currents.

The defining equation for diffusion currents in one direction are given below:

J_n = eD_n (∂n/∂x) for electron

J_P = eD_P (∂P/∂x) for holes

Here J_n = diffusion current density of electrons

J_P = diffusion current density of holes

D_n =diffusion constant of electron

D_P = diffusion constant of holes

∂n/∂x = gradient of electron density

∂P/∂x =gradient of hole density.

Thus, the diffusion current because of the random motion of carriers from the dense to the less dense regions is proportional to the gradient or rate of raises of carrier density along with distance.

The coefficient of proportionality is termed as the diffusion constant and is denoted with D.