Question

If the diameter of the chiral carbon nanotubes increases, then

• A. the band gap of semiconducting chiral carbon nanotubes decreases linearly
• B. the band gap of semiconducting chiral carbon nanotubes increases linearly
• C. the band gap of semiconducting chiral carbon nanotubes decreases exponentially
• D. the band gap of semiconducting chiral carbon nanotubes increases exponentially

Hint:

The band gap of semiconducting carbon nanotubes is inversely related to their diameter, decreasing as the diameter increases.

Answer 1

The Correct Option is A

Step 1: Understanding the relationship.
For semiconducting chiral carbon nanotubes, as the diameter increases, the band gap typically decreases. This is due to the reduced curvature and strain on the nanotube structure, leading to a linear decrease in the band gap.

Step 2: Conclusion.
Thus, the correct answer is option (1).