Sigma Percentile
JEE Advanced 2015
LEVELJEE Main

Animated Solution for Chemistry - Organic Chemistry: The structure of D-(+)-glucose is The structure of L(–)-glucose is

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Visualized Solution

  • Observe the given Fischer projection of D-(+)-glucose.
  • The 'D' designation indicates that the hydroxyl () group on the highest-numbered chiral center (C-5) is on the right side.

  • The L-isomer of a monosaccharide is the exact enantiomer of its D-isomer.
  • Enantiomers are non-superimposable mirror images of each other.

  • To draw the L-isomer, we place a mirror plane next to the D-isomer.
  • The achiral groups at the top () and bottom () remain unchanged on the vertical axis.

  • Invert the configuration at every chiral carbon (C-2 to C-5).
  • If is on the right in D-glucose, it will be on the left in L-glucose, and vice versa.

  • The resulting structure has groups on the Left, Right, Left, Left from C-2 to C-5.
  • Comparing this with the given options, Option (A) perfectly matches our derived structure.

The Sigma Insight: Biomolecules

Solution Diagram

The Beauty of Stereochemistry

Stereochemistry is the study of how molecules are arranged in three-dimensional space. When we look at complex biomolecules like carbohydrates, their spatial arrangement isn't just a minor detail—it dictates their entire biological function. The human body, for instance, is perfectly tuned to metabolize D-glucose, while its mirror image, L-glucose, passes through our system largely unrecognized by our enzymes.
To represent these 3D molecules on a flat piece of paper, chemists use Fischer projections. In a Fischer projection, the vertical lines represent bonds going away from you (into the page), and the horizontal lines represent bonds coming towards you (out of the page).

Understanding the D and L Nomenclature

When we classify a sugar as 'D' or 'L', we are looking at a very specific part of the molecule. We examine the highest-numbered chiral center—which is the chiral carbon furthest away from the carbonyl group (the aldehyde or ketone at the top).
In the case of glucose, an aldohexose, this is carbon-5 (C-5). If the hydroxyl () group on this specific carbon points to the right, the sugar belongs to the D-series. If it points to the left, it belongs to the L-series. The question provides us with D-(+)-glucose, and as expected, the group on C-5 is clearly on the right.

The Enantiomeric Relationship

Here is the critical conceptual leap: The D and L forms of a specific sugar name (like glucose) are enantiomers.
Enantiomers are pairs of molecules that are non-superimposable mirror images of each other. Think of your left and right hands—they are mirror images, but no matter how you turn them, you cannot perfectly align them on top of one another.
Because L-glucose is the enantiomer of D-glucose, we cannot simply flip the group on C-5 and call it a day. Doing so would only change one chiral center, creating a diastereomer (specifically, L-idose), not an enantiomer. To create the true mirror image, we must invert every single chiral center in the molecule.

Constructing the Mirror Image

Let's systematically build L-glucose by placing a virtual mirror next to D-glucose:
1. The Achiral Backbone: The aldehyde group () at the top and the primary alcohol () at the bottom lie on the vertical axis. Because they do not possess chirality themselves, their internal symmetry means they remain unchanged in our mirror projection.
2. Inverting C-2: In D-glucose, the is on the right. In the mirror, it reflects to the left.
3. Inverting C-3: In D-glucose, the is on the left. In the mirror, it reflects to the right.
4. Inverting C-4: In D-glucose, the is on the right. In the mirror, it reflects to the left.
5. Inverting C-5: In D-glucose, the is on the right. In the mirror, it reflects to the left.

The Final Match

By reading our newly constructed L-glucose from top to bottom (C-2 to C-5), the sequence of hydroxyl groups is Left, Right, Left, Left.
When we carefully scan the given options, we see that Option (A) perfectly matches this exact sequence. It is a beautiful demonstration of how visualizing a simple mirror plane can effortlessly solve what might initially look like a complex memorization problem.

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