Onset of fractal growth: Statics and dynamics of diffusion-controlled polymerization

J. H. Kaufman, A. I. Nazzal, O. R. Melroy, and A. Kapitulnik
Phys. Rev. B 35, 1881 – Published 1 February 1987
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Abstract

We report experimental studies of the statics and dynamics of diffusion-controlled polymerization. The polymerization involves the random aggregation of a neutral precursor, pyrrole monomer, in a two-dimensional electrochemical cell under a variety of conditions. As the oxidation potential is increased, the fractal dimension drops sharply from values near 2 (compact structures) to 1 as the growth becomes dendritic. At higher potentials, where the polymerization becomes diffusion limited, a continuum of structures is observed as the dendrites become more irregular and the fractal dimension increases asymptotically to 1.74±0.01. The mean branch angle is found to decrease sharply from 90° in the dendritic regime to approximately 45° in the diffusion-limited regime. In this regime the width of the active growth zone increases at the same rate as the fractal radius. The spectral dimensionality determined by scale-dependent conductivity measurements is 1.26±0.04. .AE

  • Received 5 May 1986

DOI:https://doi.org/10.1103/PhysRevB.35.1881

©1987 American Physical Society

Authors & Affiliations

J. H. Kaufman, A. I. Nazzal, and O. R. Melroy

  • IBM Almaden Research Center, San Jose, California 95120

A. Kapitulnik

  • Department of Applied Physics, Stanford University, Stanford, California 94305

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Issue

Vol. 35, Iss. 4 — 1 February 1987

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