2. Examine the bucky ball in figure 3.4 in your textbook. Use the scanned image

Question

2. Examine the bucky ball in figure 3.4 in your textbook. Use the scanned image provided here (buckyball.jpg) and load the image into an image editor (such as Microsoft Paint). Place numbers (colored black) into the image to identify all 12 pentagonal and 20 hexagonal tiles. Submit the numbered image with your assignment.

3. Prove that the C70 fullerene, containing 12 pentagons and 25 hexagons, satisfies Euler’s theorem. Use advanced reading box 3.2 from your textbook as a guide.

4. Why can nanotubes be considered extended wire-like objects?

5. What is ballistic conductance? What advantage in current conduction does a nanotube have over an ordinary wire?

Explanation / Answer

1. To conduct electricity there must be free electrons. A carbon atom has 4 valence electrons. When it comes to the case of diamond all these 4 valence electrons participate in chemical bonding. So here there are no free electrons to conduct electricity. Now when it comes to the case of graphite only 3 electrons participate in the chemical bonding. So there is one free valence electron. This electron work as charge carrier and because of these electrons graphite acts as conductor

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