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Mathematical Models of the Homochiralisation of Crystals by Grinding
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 grindi...
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Formato: | Texto |
Lenguaje: | English |
Publicado: |
Springer Netherlands
2010
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3056007/ https://www.ncbi.nlm.nih.gov/pubmed/20683773 http://dx.doi.org/10.1007/s11084-010-9221-2 |
Sumario: | 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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