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Does the term only refer to molecules that have the same symmetry elements or exactly the same symmetry operations. Online I see that its the same symmetry operation however my professor's slides show only symmetry elements.

Or is it depend on the writer; Dnh refers only to symmetry elements but D3h refers to symmetry operations but they are both point groups?

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  • $\begingroup$ Each element corresponds to each operation, so doesn't same elements imply same operations? $\endgroup$
    – TheLearner
    Oct 12, 2020 at 10:29
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    $\begingroup$ More precisely, each element corresponds to a set of operations. For example one $C_3$ symmetry axis implies three operations $(C_3)^0 \equiv E$, $(C_3)^1$, and $(C_3)^2$ (notation?). But yes, same symmetry elements corresponds to same symmetry operations. $\endgroup$
    – orthocresol
    Oct 12, 2020 at 10:47
  • $\begingroup$ Have a look at this answer chemistry.stackexchange.com/questions/58609/…. which should explain things $\endgroup$
    – porphyrin
    Oct 12, 2020 at 14:43

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