Which of the following explicit mathematical symmetry elements or molecular features will definitive — Isomerism and Stereochemistry Chemistry Question
Question
Which of the following explicit mathematical symmetry elements or molecular features will definitively render a given organic molecule completely achiral and optically inactive?
💡 Solution & Explanation
A molecule is defined as chiral if and only if its mirror image is strictly non-superimposable. Mathematically, this condition is violated if the molecule possesses any Alternating Axis of Symmetry ($S_n$). A Plane of Symmetry ($S_1$) and a Center of Symmetry ($S_2$) are highly specific, common subsets of an $S_n$ axis. If any of these are physically present, the molecule is achiral. Conversely, a molecule possessing exactly one chiral center is unequivocally *always* chiral.