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Q. In the energy band diagram of a material shown below, the open circles and filled circles denote holes and electrons respectively. The material is a/anPhysics Question Image

AIIMSAIIMS 2007

Solution:

The given figure represents $p$-type semiconductor as described below :
When one of the silicon atoms (valence =4) has been replaced by an atom of aluminium (valence $=3$ ), the aluminium atom can bond covalently with only three silicon atoms, so there is now a "missing" electron (a hole) in one aluminium-silicon bond with a small expenditure of energy, an electron can be torn from a neighbouring silicon-silicon bond to fill this hole, thereby creating a hole in that bond. Similarly, an electron from some other bond can be moved to fill the second hole. In this way, the hole can migrate through the lattice.
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The aluminium atom is called an acceptor atom because it readily accepts an electron from a neighbouring bond that is from the valence band of silicon. As figure suggests, this electron occupies a localized acceptor state that lies within the energy gap, at an average energy interval $E_{a}$ above the top of the valence band. By adding acceptor atoms, it is possible to increase very greatly the number of holes in the valence band.