Abstract
We present a formalism and estimate a critical cluster size for water monolayer formation on a (rigid) model AgI basal substrate. The formalism is modified from that developed for vapor clusters [B. N. Hale and R. C. Ward, J. Stat. Phys. 28, 487 (1982)] and uses a Metropolis Monte Carlo method developed by Squire and Hoover [J. Chem. Phys. 50, 701 (1969)] to determine (Helmholtz) free energy differences for clusters containing n and n−1 molecules. Calculations for clusters of n=1, 2, 3, 4, 6, and 24 water molecules on a model AgI basal face at 265 K are used in a statistical mechanical formalism which assumes that the adsorbed clusters form a mixture of noninteracting ideal gases; the adsorbed monomer concentration is related to the vapor concentration at the same temperature. At water saturation and 265 K a critical cluster size of n*=3 molecules and a steady state nucleation rate (for monolayer formation) of 1023 cm−2 s−1 is predicted. The implications of this for ice nucleation on the model AgI substrate under atmospheric conditions are discussed.
References
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Dates
Type | When |
---|---|
Created | 22 years, 5 months ago (Feb. 28, 2003, 11:47 a.m.) |
Deposited | 1 year, 6 months ago (Feb. 9, 2024, 7:43 p.m.) |
Indexed | 1 year, 6 months ago (Feb. 9, 2024, 8:21 p.m.) |
Issued | 42 years, 7 months ago (Jan. 1, 1983) |
Published | 42 years, 7 months ago (Jan. 1, 1983) |
Published Print | 42 years, 7 months ago (Jan. 1, 1983) |
@article{Ward_1983, title={A study of the critical cluster size for water monolayer clusters on a model AgI basal substratea)}, volume={78}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.444519}, DOI={10.1063/1.444519}, number={1}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Ward, Richard C. and Hale, Barbara N. and Terrazas, Sergio}, year={1983}, month=jan, pages={420–423} }