Introduction into the
Symmetry of Molecules

Science and Fun
Spectroscopic Tools
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Step 131

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You have quite that to C3 no S6 is colinear, but a point group of S 2n is present only if except existing C n and S 2n are no further symmetry elements exist. In the staggered ethan there are nevertheless still further symmetry elements, therefore your response is not correct. Pursue the algorithm more attentively and go again to training step 130 !