Diamond, graphite and fullerenes are all allotropes of carbon. Diamond doesn't conduct electricity because it has no free electrons, but graphite does because it has delocalised electrons. Diamond is hard because it has many strong covalent bonds, meaning that it also has a high melting point. Graphite has layers of carbon atoms that are weakly held together, making it slippery.
Buckminster fullerene has the formula C60. Nanotubes are fullerenes that can be used to reinforce graphite in tennis rackets because they are very strong. They are also used as semiconductors in electrical circuits.
Nanotubes can also be used in the drug delivery system. This is because a molecule of the drug can be placed inside the nanotube cage, keeping the drug wrapped up until it reaches the site where it is needed.
Nanotubes have a massive surface area for their size, meaning that sticking a catalyst to the surface of a nanotube gives a huge area for the reactants to come into contact.
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