Can anybody prove that any molecule with an axis of improper rotation is nonchiral? I still do not understand why this is so, any proper mathematical proof or visualisation of a generalised molecule would be appreciated!
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1Do you understand why mirror symmetry means no chirality, to begin with? – Ivan Neretin Jun 10 '21 at 13:34
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https://chemistry.stackexchange.com/questions/142244/example-of-an-achiral-molecule-without-a-plane-of-symmetry-or-inversion-center https://chemistry.stackexchange.com/questions/51854/does-an-axis-of-symmetry-determine-chiralty – Mithoron Jun 10 '21 at 13:37
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https://chemistry.stackexchange.com/questions/145084/what-are-the-criteria-for-a-molecule-to-be-chiral – Mithoron Jun 10 '21 at 13:43
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Still none of them have a proper proof why an axis of improper rotation means no chirality, the most these answers have is examples – Nickgamer491 Jun 12 '21 at 01:52