Steps and facets at the surface of soft crystals |
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| Authors: | P. Nozières F. Pistolesi S. Balibar |
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| Affiliation: | (1) Laboratoire d'étude des Propriétés électroniques des Solides CNRS, BP 166, 38042 Grenoble Cedex 9, France, FR;(2) European Synchrotron Radiation Facility, BP 220, 38043 Grenoble Cedex 9, France, FR;(3) Laboratoire de Physique Statistique de l'école Normale Supérieure associé aux Universités Paris 6 et Paris 7 et au CNRS, 24 rue Lhomond, 75231 Paris Cedex 05, France, FR |
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| Abstract: | We consider the shape of crystals which are soft in the sense that their elastic modulus μ is small compared to their surface tension γ, more precisely μa < γ where a is the lattice spacing. We show that their surface steps penetrate inside the crystal as edge dislocations. As a consequence, these steps are broad with a small energy which we calculate. We also calculate the elastic interaction between steps a distance d apart, which is a 1/d 2 repulsion. We finally calculate the roughening temperatures of successive facets in order to compare with the remarkable shapes of lyotropic crystals recently observed by Pieranski et al. [#!Pieranski!#,#!EPJ!#]. Good agreement is found. Received 25 June 2001 |
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| Keywords: | PACS. 81.10.Aj Theory and models of crystal growth physics of crystal growth, crystal morphology and orientation – 61.72.-y Defects and impurities in crystals microstructure – 61.30.-v Liquid crystals |
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