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Although crystalline nanotubes have been observed, they are generally amorphous.
The structures of eight allotropes are shown at the bottom of this page.
Interestingly, graphite is one of the softest substances and diamond was thought, until recently, to be the hardest naturally occurring substance.
An extremely rare allotrope of carbon, lonsdaleite, has been calculated, in pure form, to be 58% stronger than diamond.
The high temperatures and pressures of the impact transform the graphite into lonsdaleite.