1. Band Structure of Carbon Nanotubes

2. Discovery First observed by Iijima (1991) Multiwalled

3. Arc-discharge evaporation

4. Laser ablation

5. Chemical vapour deposition

6. Armchair tube

7. Zigzag tube

8. Chiral tubes

9. Graphite Bravais lattice Reciprocal space Dispersion relation Equi-energy regions 1947 P.R. Wallace Tight-binding, nearest neighbour

10. [5,5] Armchair tube Bravais lattice Reciprocal lattice Periodic boundary conditions: Dispersion relation:

11. [9,0] Zigzag tube Bravais lattice Reciprocal lattice Periodic boundary conditions: Dispersion relation:

12. [10,0] Zigzag tube Reciprocal lattice Metallic zigzag tubes satisfy:

13. Are they real metals? Zigzag tubeArmchair tube Stable against Peierls distortion Armchair tube conduct ballistically >10  m

14. Ballistic transport

15. Applications Nano electronics (FET ’ s) Spintronics AFM tips Composite materials