Could anyone explain why compound L is not optically active?
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4$\begingroup$ Draw the mirror image of the compound. Can you prove the mirrored version is different from the original? $\endgroup$– Nicolau Saker NetoCommented Jun 9, 2019 at 4:42
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1$\begingroup$ For the same reason why meso-tartaric acid does not manifest chirality. Its mirror image can be identified with the original, even if it has 2 chiral centers. $\endgroup$– PoutnikCommented Jun 9, 2019 at 13:49
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1$\begingroup$ Because it has a quite obvious plane of symmetry, period. That's enough of a justification, no matter what the chiral centers are trying to say. $\endgroup$– Ivan NeretinCommented Jun 9, 2019 at 20:15
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2 Answers
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Imagine yourself cutting the molecule in half along the axis determined by the OH group and the double bond, perpendicular to the plane of the cyclohexane ring. Observe that the 2 halves match each other perfectly, in other words you found a plane of symmetry. For any molecule to be chiral, and thus be optically active, it must not have any plane of symmetry.