What are energy bands? How are these formed? Distinguish between a conductor, an insulator and a semiconductor on the basis of energy band diagram.
Solution
A free atom has sharp, discrete energy levels. When N atoms form a crystal, each level splits into N very closely spaced levels because of the interaction between neighbouring atoms; these closely packed levels constitute an energy band. The outer levels form the valence band (highest filled) and the conduction band (next, usually empty), separated by the forbidden gap Eg. Conductor: the conduction and valence bands overlap (or the conduction band is partly filled), so conduction is easy. Insulator: a large gap (Eg>3eV) keeps the conduction band empty, so conduction is negligible. Semiconductor: a small gap (Eg≈1eV) allows a few electrons to be thermally excited into the conduction band. Bands from level-splitting; gap: overlap <∼1eV<>3eV.
CBSE Class 12 Board · 2006 · All India · Subjective