Statics and Dynamics of the Diffusion-Limited Polymerization of the Conducting Polymer Polypyrrole

Abstract

We report experimental studies of the statics and dynamics of diffusion-limited polymerization. The fractals obtained were produced electrochemically from neutral precursors, and have a Hausdorff dimension of 1.74 ±0.03. The width of the active growth zone increases at the same rate as the fractal radius. The chemical dimensionality determined by scale-dependent conductivity measurement is 0.96 ±0.04. This implies a value for the spectral dimensionality of 1.26 ±0.04.

Extended Characterization of Combustion-Generated Aggregates: Self-Affinity and Lacunarities

“…obtained from the statistical analysis of the initial experimen- [9] tal data shown in Fig. 3 experimental values, obtained formally by the least-squares fittings of Eqs.…”

Electrochemical Growth of Dendritic Conducting Polymer Networks

“…The electropolymerization on lCP-patterned SAMs has been extensively studied for the fabricating micropatterned conducting polymers [8±11]. Since the discovery of carbon nanotubes (CNTs), [1] this new carbon allotrope has attracted a great deal of attention because of its nanoscale hollow tubular structure and potential applications. CNT arrays can be applied to various functional nanodevices, such as actuators, [2] nanotransistors, [3] field emitters, [4] and gas sensors.…”

“…The use of fractal patterns of conducting polymers prepared by electropolymerization [1,2] has been investigated extensively as a model for artificial neural networks. [3±5] In these studies, a number of conducting polymer interconnections between 2±4 electrodes were successfully fabricated in two-or three-dimensional (2D or 3D) structures.…”

Micropatterned Polypyrrole: A Combination of Electrical and Topographical Characteristics for the Stimulation of Cells

“…[3] PPy growth is controlled by electric-field properties (current or voltage) and solution concentration of monomer and electrolyte. [34,35] Low monomer concentration is known to result in diffusion-limited aggregation growth (i.e., nucleation-limited polymerization), whereas low voltages or currents result in diffusion-limited polymerization growth (i.e., growth-rate-limited polymerization). [34] Correspondingly, nucleation has been classified as instantaneous or progressive, and the growth as two or three dimensional.…”