Isomerism and StereochemistryhardNUMERICAL

In the absolute configuration assignment of an amino acid using the CIP rules, the groups attached tIsomerism and Stereochemistry Chemistry Question

Question

In the absolute configuration assignment of an amino acid using the CIP rules, the groups attached to the alpha-carbon are $-NH_2$, $-COOH$, $-CH(CH_3)_2$ (isopropyl), and $-H$. If the lowest priority group ($-H$) is positioned on a horizontal line in a 2D Fischer projection and the $1 \rightarrow 2 \rightarrow 3$ path is traced clockwise, what number mathematically represents the minimum number of sequential $90^\circ$ in-plane rotations required to re-align the molecule into a standard vertical presentation without inverting its actual configuration?

Answer: 2

💡 Solution & Explanation

A single $90^\circ$ rotation of a Fischer projection inverts the absolute configuration (R becomes S, or S becomes R). Therefore, to preserve the exact same configuration, the molecule must undergo an even number of $90^\circ$ rotations. Two $90^\circ$ rotations ($180^\circ$ total) perfectly preserves the original configuration while swapping the horizontal and vertical axes.

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