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Modern Periodic Table

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 (E_g)_C, (E_g)_Siand (E_g)_Ge. Which of the following statements is true?

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

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

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

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

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Solution

The correct statement is (c).

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

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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?

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)

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

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