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The best modern answer would involve quantum chemistry, but an easier to understand explanation is that the outermost electrons in fluorine are much closer to the nucleus that provides the attraction to hold the electrons and nucleus together as an atom than are the outermost electrons in iodine. This is sometimes called the "screening effect" of inner shell electrons that weakens the attraction between the nucleus and the outer shell electrons in large atoms such as iodine.

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10y ago
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Q: Why is the ionisation energy of fluorine higher than iodine?
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