Each carbon is covalently bonded to 3 other carbons, forming layers of hexagonal rings which have no covalent bonds between the layers
The layers can slide over each other due to no covalent bonds between the layers, but weak intermolecular forces (meaning that graphite is soft and slippery)
Nano-silver kills bacteria, so used in wound dressings and deodorants; also used to line socks and fridges to kill bacteria that cause bad smells
Nano-titanium dioxide is used in sunblock creams to block harmful ultraviolet light without appearing white on the skin, and in self-cleaning windows to help break down dirt