# If the lattice constant of this semiconductor is decreased, then which of the following is correct? Option 1) $all\; E_{c},E_{g},E_{v}\; decrease$ Option 2) $all\; E_{c},E_{g},E_{v}\; increase$ Option 3) $E_{c}\: ,and\,E_{v}\, \, increase,but\, \, E_{g} \; decreases$ Option 4) $E_{c}\: ,and\,E_{v}\, \, decrease,but\, \, E_{g} \; increases$

As we learnt in

Semiconductor -

Energy gap between valence band and conduction band is less than 3 e.v.

- wherein

1) $\Delta E_^{g}$ lies between conductor & insulator

2) Both electron and holes are responsible for conductivity .

3)    At 0 K behave like an insulator (Si,Ge)

As we increase the lattice parameter, width of energy bands (valence and conduction) increase. This results in decrease in energy gap between conduction and valence band.

Correct option. is 4.

Option 1)

$all\; E_{c},E_{g},E_{v}\; decrease$

This is an incorrect option.

Option 2)

$all\; E_{c},E_{g},E_{v}\; increase$

This is an incorrect option.

Option 3)

$E_{c}\: ,and\,E_{v}\, \, increase,but\, \, E_{g} \; decreases$

This is an incorrect option.

Option 4)

$E_{c}\: ,and\,E_{v}\, \, decrease,but\, \, E_{g} \; increases$

This is the correct option.

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