Reference

Glossary & Sources

Glossary

Asymmetric autocatalysis
A reaction whose chiral product catalyses its own formation, so an excess of one hand reinforces itself.
Chirality
The property of not being superposable on one’s mirror image.
Deracemisation
Converting a racemate into a single enantiomer without discarding half the material.
Distomer
The less active enantiomer of a drug; the eutomer is the more active one.
Enantiomer
One of the two mirror-image forms of a chiral molecule.
Enantiomeric excess (ee)
([R] − [S]) / ([R] + [S]); zero for a racemate, one for a single enantiomer.
Eudismic ratio
The ratio of potencies of the two enantiomers of a drug.
Frank model
The 1953 scheme — autocatalysis plus mutual antagonism — whose racemic state is unstable.
Heterochiral complex
A catalyst species carrying one ligand of each hand; achiral, so its product is racemic.
Hyperpositive NLE
The regime in which a partially resolved ligand outperforms the enantiopure one; not reproduced by the ML₂ model.
Ligand
A molecule bound to a metal centre; in asymmetric catalysis, the source of the handedness.
ML₂ model
Kagan’s treatment of a metal bearing two chiral ligands, giving ee_prod = ee_max · ee_aux · (1+β)/(1+gβ).
Non-linear effect
Any departure of product ee from proportionality with catalyst ee.
Racemate
An equal mixture of the two enantiomers.
Soai reaction
The addition of a dialkylzinc to a pyrimidyl aldehyde; the first and still essentially the only clean asymmetric autocatalysis.

The work the prize names

  • Puchot C., Samuel O., Duñach E., Zhao S., Agami C., Kagan H. B. “Nonlinear effects in asymmetric synthesis. Examples in asymmetric oxidations and aldolization reactions.” J. Am. Chem. Soc. 108, 2353 (1986).The first report that product ee need not track catalyst ee.
  • Guillaneux D., Zhao S.-H., Samuel O., Rainford D., Kagan H. B. “Nonlinear Effects in Asymmetric Catalysis.” J. Am. Chem. Soc. 116, 9430–9439 (1994). doi:10.1021/ja00100a004The ML and ML₂ models, and the equation derived in Part 2.
  • Soai K., Shibata T., Morioka H., Choji K. “Asymmetric autocatalysis and amplification of enantiomeric excess of a chiral molecule.” Nature 378, 767–768 (1995).The reaction that realised Frank's model in a flask.
  • Frank F. C. “On spontaneous asymmetric synthesis.” Biochim. Biophys. Acta 11, 459–463 (1953).Two pages, forty-two years early, and the whole of Part 3.

The prize

Laureate details are taken from NobelPrize.org: Kagan, born 15 December 1930 in Boulogne-Billancourt, Université Paris-Sud, Orsay; Soai, born 1950 in Hiroshima, Tokyo University of Science. At least one news report on the day conflated their ages.

On the numbers in this course

Both central results are derived here rather than quoted, and the derivations were checked against the published forms before being written: the ML₂ expression reproduces Kagan's 1994 equation exactly, and the reduction of Frank's scheme to a logistic equation in ee was verified against direct numerical integration of the rate equations to six significant figures.

You can repeat both checks in the browser on the simulations page; Simulation 2 performs the second comparison and prints both numbers.

Licence and changelog

Text and figures CC BY-SA 4.0. Simulation code MIT.

7 October 2026 — first published, the day the prize was announced. A revision is planned for December, when the Nobel lectures appear.

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