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Energy Band Diagrams

Carbon, silic...

Question

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 (Eg)C, (Eg)Si and (Eg)Ge. Which of the following statements is true? (a) (Eg)Si < (Eg)Ge < (Eg)C
(b) (Eg)C< (Eg)Ge > (Eg)Si
(c) (Eg)C> (Eg)Si > (Eg)Ge
(d) (Eg)C= (Eg)Si = (Eg)Ge

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Solution

It is given that the carbon, silicon and germanium atoms have four valence electrons, the energy band gap of carbon, silicon and germanium is (Eg)C, (Eg)Si and (Eg)Ge respectively.

The energy band gap of carbon is maximum and the energy band gap of germanium is minimum among all.

So, the correct order of the energy band gap is,

(Eg)C> (Eg)Si > (Eg)Ge

Hence, the correct statement is (c).

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Q. Carbon, Silicon, and Germanium atoms have four valence electrons each. Their valence and conduction bands are separated by energy band gaps represented by

(E g)_{C}, (E g)_{S i}

(E g)_{G e}

respectively. Which one of the following relationships is true in their case:

Q. Carbon, Silicon and Germanium atoms have limn valence electrons each. Their valence and conduction bands are separated by energy band gaps represented by

(E_{g})_{c}, (E_{g})_{s i}

(E_{g})_{G e}

respectively. Which one of the following relationship is true in their case?

Which of the following statements are true about metals ?

(a) Valence band overlaps with conduction band

(b) The gap between valence band and conduction band is negligible

(c) The gap between valence band and conduction band connot be determined

(d) Valence band may remain partially filled

Q. Assertion :If there is some gap between the conduction band and the valence band, electrons in the valence band all remain bound, and no free electrons are available in the conduction band. Reason: Some of the electrons in the valence band may gain external energy to cross trhe gap between the conduction band and the valence band.

Q. Assertion :In some solids, the valence band is completely filled while the next higher band separated by an energy gap of few electrons-volts is completely empty. Reason: In insulators the energy band completely filled with electrons( the valence band) and above it is empty band (the conduction band)

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