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Stereochemistry of complex molecules

A single molecule may contain several stereogenic elements. Depending on the configuration of each one, we get different compounds whose chemical, physical and physiological properties can be very different.

Aldohexoses: 4 stereocentres, 16 stereoisomers

An excellent example is that of sugars (carbohydrates) with six carbon atoms, C6H12O6 (HOCH2–CHOH–CHOH–CHOH–CHOH–CHO), known as aldohexoses. They bear four stereocentres and therefore have 24 = 16 stereoisomers. Here are 8 of them. Which isomers are still missing?

  • D-(+)-Allose RRRR m.p. 148 °C [α]20D +15°
  • D-(+)-Altrose SRRR m.p. 103 °C [α]20D +30°
  • D-(+)-Glucose RSRR m.p. 154 °C [α]20D +53°
  • D-(+)-Mannose SSRR m.p. 136 °C [α]20D +14.8°
  • D-(−)-Gulose RRSR m.p. 131 °C [α]20D −23°
  • D-(−)-Idose SRSR [α]20D −32°
  • D-(+)-Galactose RSSR m.p. 169 °C [α]20D +80.2°
  • D-(+)-Talose SSSR m.p. 134 °C [α]20D +19°
The eight D-aldohexoses in Fischer projection, with the configuration of their four stereocentres (C2, C3, C4 and C5, top to bottom), their melting point (m.p.) and their specific rotation [α]20D. OH on the right · OH on the left.

Fischer projections

Emil Hermann Fischer (1852-1919) devised a simple way to represent the stereocentres of such molecules.

In the so-called Fischer projections every tetrahedral carbon is drawn as a cross in which the horizontal lines point towards the viewer and the vertical ones point away.

Portrait of Emil Fischer
Fischer's bow tie: the horizontal bonds point towards the viewer
(R)- and (S)-2-bromobutane and their Fischer projections with priorities 1, 2, 3

Enantiomers and diastereomers

Stereoisomers related to each other as object and non-superimposable mirror image are called enantiomers.

Stereoisomers that are not related as object and mirror image are called diastereomers.

Enantiomers always come in pairs. For each enantiomer, every other stereoisomer that is not its pair is a diastereomer.

The four stereoisomers of 2-bromo-3-chlorobutane: two pairs of enantiomers related to each other as diastereomers

Meso forms

Two identically substituted stereocentres give rise to only three stereoisomers. One of them is called the meso form and is not chiral.

Tartaric acids: the (2R,3R) and (2S,3S) enantiomers and the optically inactive meso form, with their rotations and melting points

These are examples of meso forms. They look chiral because they have several stereocentres, but the overall symmetry of the molecule cancels chirality: the mirror image of a meso form is always superimposable.

Examples of meso forms with an internal plane of symmetry