Q.23 The Fisher projection that represents (2R,3S)-2,3-dihydroxybutanoic acid is

Q.23 The Fisher projection that represents (2R,3S)-2,3-dihydroxybutanoic acid is

Given Compound

Molecular structure of 2,3-dihydroxybutanoic acid:

CH3–CHOH–CHOH–COOH

The molecule contains two chiral centers at carbon 2 and carbon 3.

Important Rules for Fischer Projection

  • Vertical bonds point away from the observer.
  • Horizontal bonds point towards the observer.
  • If the lowest priority group (H) is on a horizontal bond, the configuration is inverted.
  • Numbering of carbon starts from the COOH group.

Step 1: Configuration at C-2

Priority order at C-2:

  1. –OH
  2. –COOH
  3. –CH(OH)CH3
  4. –H

To obtain R-configuration (after applying inversion rule),
the –OH group must be on the right side.

Step 2: Configuration at C-3

Priority order at C-3:

  1. –OH
  2. –CH(OH)COOH
  3. –CH3
  4. –H

To obtain S-configuration (after inversion),
the –OH group must be on the left side.

Required Fischer Projection Pattern

Chiral Carbon Position of –OH
C-3 Left
C-2 Right

This arrangement gives opposite configurations at the two chiral centers.

Option-wise Explanation

  • Option (A): Both –OH groups on the left → (2S,3S) ❌
  • Option (B): Upper –OH right, lower –OH left → (2S,3R) ❌
  • Option (C): Both –OH groups on the right → (2R,3R) ❌
  • Option (D): –OH groups on opposite sides → (2R,3S) ✅

Final Answer


The correct Fischer projection of (2R,3S)-2,3-dihydroxybutanoic acid is Option (D).

Conclusion

By applying CIP priority rules and Fischer projection conventions,
the correct configuration is obtained when the hydroxyl groups are
placed on opposite sides. This results in the (2R,3S) configuration,
which corresponds to option (D).

 

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