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Title: Influence of fractal geometry on geminate escape probability, mean recombination time, and homogeneous reaction rate

Journal Article · · Journal of Chemical Physics; (USA)
DOI:https://doi.org/10.1063/1.458163· OSTI ID:7030709
 [1]
  1. Department of Chemistry Radiation Laboratory, University of Notre Dame, Notre Dame, Indiana 46556 (USA)

The effects of fractal geometry on the geminate escape probability, the mean recombination time, and the homogeneous reaction rate have been evaluated for both neutral and ionic recombinations. Following Lopez-Quintella {ital et} {ital al}. (J. Chem. Phys. {bold 88}, 7478 (1988)) the fractal geometry effect is exhibited through a position-dependent diffusion coefficient. In general, the mean recombination time increases with the mean free path, even more significantly when the latter is comparable with the reaction radius or greater. The escape probability increases with the mean free path for nearly diffusion-controlled reactions but decreases with it for reactions that are governed by energy-loss considerations. The homogeneous ionic recombination rate decreases with the mean free path, in approximate agreement with the Monte Carlo results of Tachiya (J. Chem. Phys. {bold 87}, 4108 (1987)) if the scale parameter is taken to be 3.7 times the mean free path.

OSTI ID:
7030709
Journal Information:
Journal of Chemical Physics; (USA), Vol. 92:2; ISSN 0021-9606
Country of Publication:
United States
Language:
English