Fractal Geometry of Colloidal Aggregates

Dale W. Schaefer, James E. Martin, Pierre Wiltzius, and David S. Cannell
Phys. Rev. Lett. 52, 2371 – Published 25 June 1984
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Abstract

Measurement of the fractal dimension, D, of colloidal aggregates of small silica particles is reported. We observe power-law decay of the structure factor [S(k)kD] by both light and x-ray scattering showing that the aggregates are fractal. D is found to be 2.12±0.05, which is intermediate between recent numerical results for the kinetic models of diffusion-limited aggregation (D=2.5) and cluster aggregation (D=1.75), but is rather close to the value for lattice animals (D=2.0), which are equilibrium structures.

  • Received 26 March 1984

DOI:https://doi.org/10.1103/PhysRevLett.52.2371

©1984 American Physical Society

Authors & Affiliations

Dale W. Schaefer and James E. Martin

  • Sandia National Laboratories, Albuquerque, New Mexico 87185

Pierre Wiltzius and David S. Cannell

  • Department of Physics, University of California, Santa Barbara, California 93106

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Vol. 52, Iss. 26 — 25 June 1984

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