Electrical Properties: Carbon vs. Silicon Comparison
Carbon:
Diamond, an allotrope of carbon, exhibits a three-dimensional tetrahedral lattice structure. In this configuration, each carbon atom forms four robust covalent bonds. This highly stable arrangement leads to a significant band gap separating the valence and conduction bands. The considerable width of this band gap impedes electron transition to the conduction band, rendering diamond an insulator.
Silicon:
Silicon shares a comparable tetrahedral covalent lattice structure with carbon. However, silicon possesses a reduced band gap relative to diamond. At ambient temperatures, a portion of silicon's electrons gain sufficient thermal energy to surmount the band gap and enter the conduction band. This characteristic classifies silicon as a semiconductor, enabling it to conduct electricity under appropriate circumstances.
Summary:
The primary divergence in electrical behavior is attributable to the band gap magnitude:
Match List-I with List-II:
| List-I (Electric field) | List-II (Mobility) |
|---|---|
| (A) Low electric field | (I) Mobility decreases by \( \frac{1}{E} \) |
| (B) Medium electric field | (II) Mobility decreases by \( \frac{1}{\sqrt{E}} \) |
| (C) High electric field | (III) Mobility remains constant |
Choose the correct answer: