A simple yet physically based and highly accurate parameterization of the nucleation rate is obtained. In essence, the log nucleation rate is expanded in special coordinates suggested by the first and second nucleation theorems and only linear terms are required. The results support an Arrhenius model of the temperature dependence and are highly accurate over the range of a typical set of measurements – about 3–5 orders of magnitude in nucleation rate. This range is likely sufficient for most applications to atmospheric particle formation, which now seem feasible without the need for bulk properties estimation, as would be required using classical nucleation theory, and without significant higher-order corrections to the linear result.
Keywords Heterogeneous nucleation, nucleation theorem, Arrhenius temperature dependence
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
McGraw, R., and Zhang, R., Multivariate Analysis of Homogeneous Nucleation Rate Measurements: I. Nucleation in the p-toluic Acid/Sulfuric Acid/Water System, submitted for publication (2007).
McGraw, R., Multivariate Analysis of Homogeneous Nucleation Rate Measurements: II. Temperature and Vapor Concentration Dependence, submitted for publication (2007).
Zhang, R., Suh, I., Zhao, J., Zhang, D., Fortner, E.C., Tie, X., Molina, L.T., and Molina, M.J., Atmospheric new particle formation enhanced by organic acids, Science, 304, 1487–1490 (2004).
Wölk, J. and Strey, R., Homogeneous nucleation of H2O and D2O in comparison: the isotope effect, J. Phys. Chem. B, 105, 11683–11701 (2001).
Strey, R., Wagner, P.E., and Schmeling, T., Homogeneous nucleation rates for n-alcohol vapors measured in a two-piston expansion chamber, J. Chem. Phys., 84, 2325–2335 (1986).
Wagner, P.E. and Strey, R., Measurements of homogeneous nucleation rate for n-nonane vapor using a two-piston expansion chamber, J. Chem. Phys., 80, 5266–5275 (1984).
Iland, K., Wedekind, J., Wölk, J., Wagner, P.E. and Strey, R., Homogeneous nucleation rates of pentanol, J. Chem. Phys., 121, 12259–12264 (2004).
Onasch, T.B., McGraw, R. and Imre, D., Temperature-dependent heterogeneous efflorescence of mixed ammonium sulfate/calcium carbonate particles, J. Phys. Chem. A, 104, 10797–10806 (2000).
Hale, B.N., Temperature dependence of homogeneous nucleation rates for water: near equivalence of the empirical fit of Wölk and Strey, and the scaled nucleation model, J. Chem. Phys., 122, 204509 (2005).
McGraw, R., A corresponding states correlation of the homogeneous nucleation thresholds of supercooled vapors, J. Chem. Phys., 75, 5514–5521 (1981).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this paper
Cite this paper
McGraw, R. (2007). Arrhenius Temperature Dependence of Homogeneous Nucleation Rates. In: O'Dowd, C.D., Wagner, P.E. (eds) Nucleation and Atmospheric Aerosols. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6475-3_29
Download citation
DOI: https://doi.org/10.1007/978-1-4020-6475-3_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6474-6
Online ISBN: 978-1-4020-6475-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)