4.1 Article

Mathematical Models of the Homochiralisation of Crystals by Grinding

Journal

ORIGINS OF LIFE AND EVOLUTION OF BIOSPHERES
Volume 41, Issue 2, Pages 133-173

Publisher

SPRINGER
DOI: 10.1007/s11084-010-9221-2

Keywords

Symmetry-breaking; Homochirality; Crystal growth; Enantiomeric excess; Mathematical modelling

Categories

Funding

  1. EPSRC [EP/E032362/1]
  2. EPSRC [EP/E032362/1] Funding Source: UKRI
  3. Engineering and Physical Sciences Research Council [EP/E032362/1] Funding Source: researchfish

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We review the existing mathematical models which describe physicochemical mechanisms capable of producing a symmetry-breaking transition to a state in which one chirality dominates the other. A new model is proposed, with the aim of elucidating the fundamental processes at work in the crystal grinding systems of Viedma (Phys Rev Lett 94:065504, 2005) and Noorduin (J Am Chem Soc 130:1158-1159, 2008). We simplify the model as far as possible to uncover the fundamental competitive process which causes the symmetry-breaking, and analyse other simplifications which might be expected to show symmetry-breaking.

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