JEE Main · 2006 · 30 Apr 2006 · Offline · Semiconductors

If the lattice constant of this semiconductor is decreased, then which of the following is correct?

(A)All $E_{c}, E_{g}, E_{v}$ decrease
(B)All $E_{c}, E_{g}, E_{v}$ increase
(C) $E_{c}$ and $E_{v}$ increase but $E_{g}$ decreases
(D) $E_{c}$ and $E_{v}$ decrease $E_{g}$ increases✓ Correct

Answer: (D)

Solution

When the lattice constant is reduced the atoms sit closer together and interact more strongly, which broadens the allowed energy bands. On the energy scale the conduction-band edge

E_{c}

and the valence-band edge

E_{v}

both shift downward as the bands widen, while the separation between them grows. So

E_{c}

and

E_{v}

decrease and the band gap

E_{g}

increases.

JEE Main · 2006 · 30 Apr 2006 · Offline · Single correct option

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