What happens when you heat iodine? I was taught that iodine sublimates, that is it undergoes a physical transformation from solid to vapor form without becomming liquid inbetween. However, when I put some (pure crystalline) iodine into a beaker, then quickly heat the beaker with a bunsen burner, the substance sinters, then melts as well as sublimating the entire time.

So, unlike what you learned in chemistry class, iodine does indeed become liquid upon heating, that is, it melts:

Iodine exists in all three physical states at once.
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