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9/ and so these different structures are called "allotropes" and if you cool slowly the carbon migrates back out of the steel cubic structure ...but if you cool QUICKLY the sort of Brownian-motion readjustment doesn't have a chance to happen and the Fe cage shrinks rapidly >>
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9/ and the C are captured in the lattice in places that they wouldn't normally be, and you get sort of a Buckminster Fuller "tensegrity" structure going on, and a bunch of Fe cages clamped tight around C balls in the center are more rigid than floppy empty Fe cages
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10/ and, TLDR, this is why one hardens steel by plunging it into water, or oil, or whatever. HOWEVER once you do this the steel is too hard and can shatter if dropped, so you want to warm it up a bit (to "straw yellow", usually) and let a bit of annealing happen, >>>
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