Understanding the mechanisms of solid-water reactions through analysis of surface topography

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Joel Z Bandstra, Susan L Brantley

Abstract

The topography of a reactive surface contains information about the reactions that form or modify the surface and, therefore, it should be possible to characterize reactivity using topography parameters such as surface area, roughness, or fractal dimension. As a test of this idea, we consider a two-dimensional (2D) lattice model for crystal dissolution and examine a suite of topography parameters to determine which may be useful for predicting rates and mechanisms of dissolution. The model is based on the assumption that the reactivity of a surface site decreases with the number of nearest neighbors. We show that the steady-state surface topography in our model system is a function of, at most, two variables: the ratio of the rate of loss of sites with two neighbors versus three neighbors (d(2)/d(3)) and the ratio of the rate of loss of sites with one neighbor versus three neighbors (d(1)/d(3)). This means that relative rates can be determined from two parameters characterizing the topography of a surface provided that the two parameters are independent of one another. It also means that absolute rates cannot be determined from measurements of surface topography alone. To identify independent sets of topography parameters, we s...Continue Reading

References

Dec 1, 1986·Physical Review A: General Physics·P MeakinR C Ball
Jan 15, 1990·Physical Review. a·P Meakin, R Jullien
May 1, 1993·Physical Review. B, Condensed Matter·M G FernandesP C Searson
Oct 19, 2005·Proceedings of the National Academy of Sciences of the United States of America·Patricia M DoveJames J De Yoreo

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