Semiconductors

Energy Band Theory

Bohr's atomic theory

Types of bands

Valence Band

Covalent Band

band/forbidden gap

the band above valence band

Band containing valence electrons

Gap between valence and conduction band

Eg=Ec-Ev

this is also the minimum energy required for conduction

Types of solids based on this theory

Conductors = overlap of Ec and Ev and Eg ~ 0

Insulators = Eg~3eV

Semiconductors= Eg~1eV

energy levels, e of unknown energy level is free electron

Types of Semiconductors

intrinsic

Extrinsic

pure elemental Si and Ge act as intrinsic semiconductors and electric field is passed through it

holes are positive charge carriers which have virtual charge that occupy the position left by electrons, similarly its direction is opposite to electron movement and indirection of field/current

on applying field electron moves in opposing direction with a certain drift velocity this leads to movement of electrons and holes

When an intrinsic semiconductor is doped it is known as extrinsic semiconductor

It is of 2 types P and N

P type is of group 13 and it has deficiency of 1 e leading to formation of 1 extra holes, here no. of holes is greater than no. of electrons. and eff. current is approx = current of holes. this is tetravalent

N type is group 15 and has an excess of 1 electron leading to negative charge. here no. of e > no. of holes and net current is approx. current of electron. this is pentavalent

nelectron=nhole

similary, I=Ih+Ie

ALL ARE ENTIRELY NEUTRAL!

No. of electrons x No. of holes = ni^2 (here ni is intrinsic carrier density)

P-N junction Diode