Carbon, silicon and germanium have four valence electrons each. These are characterised by valence and conduction bands separated by energy band gap respectively equal to ${(E_{g})}_{C}, {(E_{g})}_{S i}$ and ${(E_{g})}_{G e}$ . Which of the following statements is true?

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(E_g)_C < (E_g)_Ge > (E_g)_Si

(E_g)_Si< (E_g)_Ge < (E_g)_C

(E_g)_C = (E_g)_Si= (E_g)_Ge

(E_g)_C > (E_g)_Si > (E_g)_Ge

answer is C.

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Detailed Solution

Of the three given elements, the energy band gap of carbon is the maximum and that of germanium is the least. The energy band gap of these elements are related as:

energy gap of carbon=5.4eV

energy gap of silicon=1.1eV

energy gap of germanium = 0.7eV

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