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Phys. Rev. Lett. 94, 018303 (2005) [3 pages]

Wave Optics of Liesegang Rings

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Marcin Fiałkowski, Agnieszka Bitner, and Bartosz A. Grzybowski*
Department of Chemical and Biological Engineering, Northwestern University, 2145 Sheridan Rd., Evanston, Illinois 60208, USA

Received 30 June 2004; published 11 January 2005

Liesegang rings refract and reflect at the interface between the regions of the same gel but of different thickness. The incident and the refracted rings obey a refraction law analogous to the Snell’s law of classical optics, with a reverse of the spacing coefficient being a counterpart of the refraction index. The wavelike behavior of the rings at the interface is explained by geometrical arguments derived from the Jablczynski’s spacing principle, and is reproduced in numerical simulations based on a three-dimensional minimalistic version of the nucleation-growth model.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.018303
DOI:
10.1103/PhysRevLett.94.018303
PACS:
82.20.–w, 42.25.Gy, 82.40.Ck

*Electronic address: grzybor@northwestern.edu