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The fact that is it large network of covalently bonded carbons make it extremely hard to melt in the first place. Secondly, diamond at high temperatures will not melt, rather it will prefer to burn, as characteristic of all carbon allotropes.

A diamond will burn or oxidize when exposed to a hot flame in the presence of oxygen, for example an oxygen torch with a temperature of 800 degrees C (1,472 degrees F), according to The Merck Index, a standard chemistry reference work.

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Q: Diamond is a huge molecule covalently bonded and how could it melt?
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