Isomerism and StereochemistryhardMCQ SINGLE

When accurately determining the number of strictly optically active isomers for a perfectly symmetriIsomerism and Stereochemistry Chemistry Question

Question

When accurately determining the number of strictly optically active isomers for a perfectly symmetrical molecule containing an EVEN number ('$n$') of chiral carbons, which of the following mathematical formulas is specifically applied?

Answer: C

💡 Solution & Explanation

For symmetrical molecules with an even number of chiral centers ($n$), the total number of stereoisomers is $2^{n-1} + 2^{(n/2 - 1)}$. The number of optically active forms specifically is $2^{n-1}$, while the number of meso forms specifically is $2^{(n/2 - 1)}$. Therefore, $2^{n-1}$ correctly calculates the active isomers alone.

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