JEE Challenger
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Structure Identification of L Minus Glucose Stereoisomer

The Fischer projection representation of D-(+)-glucose\text{D-(+)-glucose} is provided below:

Based on this representation, identify the correct structure corresponding to L-(-)-glucose\text{L-(-)-glucose}.

Question Diagram 1

Options

A
Option A Diagram 1
Correct
B
Option B Diagram 1
C
Option C Diagram 1
D
Option D Diagram 1

Step-by-Step Solution

To determine the correct Fischer projection representation for L-(-)-glucose\text{L-(-)-glucose}, we analyze the stereochemical relationship between D-(+)-glucose\text{D-(+)-glucose} and L-(-)-glucose\text{L-(-)-glucose}.

1. Relationship Between D\text{D}- and L\text{L}-Enantiomers

L-(-)-glucose\text{L-(-)-glucose} is the enantiomer (non-superimposable mirror image) of D-(+)-glucose\text{D-(+)-glucose}.

In a Fischer projection, the structure of an enantiomer is obtained by taking the mirror image across a vertical mirror plane. This corresponds to reversing (inverting) the positions of the groups attached to every chiral center (C2,C3,C4,C_2, C_3, C_4, and C5C_5).


2. Analysis of Chiral Centers in D-(+)-glucose\text{D-(+)-glucose}

The structure of D-(+)-glucose\text{D-(+)-glucose} is given as:

CHO∣H−C2−OH∣HO−C3−H∣H−C4−OH∣H−C5−OH∣CH2OH\begin{array}{c} \text{CHO} \\ | \\ \text{H} - \text{C}_2 - \text{OH} \\ | \\ \text{HO} - \text{C}_3 - \text{H} \\ | \\ \text{H} - \text{C}_4 - \text{OH} \\ | \\ \text{H} - \text{C}_5 - \text{OH} \\ | \\ \text{CH}_2\text{OH} \end{array}

The positions of the −H-\text{H} and −OH-\text{OH} groups at each chiral center from top to bottom are:

  • C2C_2: −H-\text{H} on the left, −OH-\text{OH} on the right.
  • C3C_3: −OH-\text{OH} on the left, −H-\text{H} on the right.
  • C4C_4: −H-\text{H} on the left, −OH-\text{OH} on the right.
  • C5C_5: −H-\text{H} on the left, −OH-\text{OH} on the right.

3. Deriving the Structure of L-(-)-glucose\text{L-(-)-glucose}

Inverting the configuration at all four chiral centers (C2,C3,C4,C_2, C_3, C_4, and C5C_5) gives:

  • C2C_2: −OH-\text{OH} on the left, −H-\text{H} on the right.
  • C3C_3: −H-\text{H} on the left, −OH-\text{OH} on the right.
  • C4C_4: −OH-\text{OH} on the left, −H-\text{H} on the right.
  • C5C_5: −OH-\text{OH} on the left, −H-\text{H} on the right.

Thus, the Fischer projection of L-(-)-glucose\text{L-(-)-glucose} is:

CHO∣HO−C2−H∣H−C3−OH∣HO−C4−H∣HO−C5−H∣CH2OH\begin{array}{c} \text{CHO} \\ | \\ \text{HO} - \text{C}_2 - \text{H} \\ | \\ \text{H} - \text{C}_3 - \text{OH} \\ | \\ \text{HO} - \text{C}_4 - \text{H} \\ | \\ \text{HO} - \text{C}_5 - \text{H} \\ | \\ \text{CH}_2\text{OH} \end{array}

This structure corresponds to option (A).

Correct Answer: A