Isomerism and StereochemistryhardMCQ MULTIPLE

Consider the advanced stereochemical case of completely symmetrical molecules possessing an ODD numbIsomerism and Stereochemistry Chemistry Question

Question

Consider the advanced stereochemical case of completely symmetrical molecules possessing an ODD number of chiral centers ('$n$'). Which of the following specific derived formulas are mathematically accurate and standard?

Answer: A,B,C

💡 Solution & Explanation

Symmetrical molecules with odd chiral centers feature a central "pseudo-chiral" carbon. Depending on the configurations of the terminal chiral centers, this central carbon can lie squarely on an internal Plane of Symmetry, generating valid meso forms. The correct formulas are: Meso = $2^{(n-1)/2}$, Active = $2^{n-1} - 2^{(n-1)/2}$. The sum of these (Total) simplifies perfectly to $2^{n-1}$.

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