Scaled models for nucleation

Hale, Barbara N.

doi:10.1007/3-540-50108-8_1085

Cited by 11 publications

(11 citation statements)

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“…In this section, we analyze our results in terms of the scaled nucleation model developed by Hale. [72][73][74][75] For a nucleation rate of 1 cm Ϫ3 s Ϫ1 , the scaling law is expressed as ln S c ϭ0.…”

Section: Scaled Nucleation Modelmentioning

confidence: 99%

Condensation of supersaturated vapors of hydrogen bonding molecules: Ethylene glycol, propylene glycol, trimethylene glycol, and glycerol

Kane

El‐Shall

1996

The Journal of Chemical Physics

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The critical supersaturations required for the homogeneous nucleation ͑rate of 1 drop cm Ϫ3 s Ϫ1 ͒ of ethylene glycol, propylene glycol, trimethylene glycol and glycerol vapors have been measured over wide temperature ranges ͑e.g., 280-400 K͒ using an upward thermal diffusion cloud chamber. At lower temperatures the experimental nucleation rates are much higher than the predictions of the classical nucleation theory. Glycerol shows the best agreement between experiment and theory in the temperature range of 340-370 K. An apparent increase in the critical supersaturation of glycerol is observed with increasing carrier gas ͑helium͒ pressure and this effect is more pronounced at lower temperatures. The results from corresponding states and scaled nucleation models indicate that the nucleation behavior of glycerol is quite different from other glycols. Glycerol requires higher critical supersaturations compared to the other glycols at the same reduced temperatures. This implies quite small critical clusters for glycerol ͑20-50 molecules͒ in the temperature range 300-380 K. The discrepancy between experiment and theory at lower temperatures may be explained by considering that the surface tension of the critical clusters is lower than the bulk surface tension. It is, however, surprising that a Tolman type correction for the curvature dependent surface tension could be applicable for such small critical clusters. Further theoretical work is required in order to fully understand the observed higher nucleation rates at lower temperatures of glycols and glycerol.

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Section: Scaled Nucleation Modelmentioning

confidence: 99%

Condensation of supersaturated vapors of hydrogen bonding molecules: Ethylene glycol, propylene glycol, trimethylene glycol, and glycerol

Kane

El‐Shall

1996

The Journal of Chemical Physics

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“…This effect is well known in the nucleation of water (and ice) on surfaces, where the contact angle plays the role of a reduced [56]. Applications of the scaling to homogeneous binary vapor-to-liquid nucleation [57] and to ice formation on AgI impurities in supercooled water [58] suggest that this scaling has a wider application. Toward this end, our hope is that the present simulation results will motivate a more fundamental analysis of scaling in nucleation phenomena, beyond the scope of classical model concepts.…”

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confidence: 96%

Scaled Vapor-to-Liquid Nucleation in a Lennard-Jones System

Hale

Thomason

2010

Phys. Rev. Lett.

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Scaling of the homogenous vapor-to-liquid nucleation rate, J, is observed in a model Lennard-Jones (LJ) system. The model uses Monte Carlo simulation-generated small cluster growth to decay rate constant ratios and the kinetic steady-state nucleation rate formalism to determine J at four temperatures below the LJ critical temperature, T{c}. When plotted vs the scaled supersaturation, lnS/[T{c}/T-1]{3/2}, the values of logJ are found to collapse onto a single line. A similar scaling has been observed for the experimental nucleation rate data of water and toluene.

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“…7,8,14 This scaled model has proven to be a powerful tool for correlating nucleation threshold behavior for diverse substances ranging from simple molecules 7,8 and nonpolar 9,19,20 and highly polar molecules 13,[21][22][23] to metallic vapors and vapors of refractory materials. [10][11][12] For a nucleation rate of 1 cm -3 s -1 , the scaling law is expressed as 14 where Ω is the excess surface entropy per molecule in the cluster.…”

Section: Scaled Nucleation Modelmentioning

confidence: 99%

“…These correlations lead to identifying universal temperature dependencies, which complicate the extraction of general patterns from the nucleation data of individual substances. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] Systematic studies of homogeneous nucleation of different classes of compounds with a variety of molecular properties are desirable in order to test nucleation theories. Such studies provide insight into the role of different molecular properties in the nucleation process.…”

Section: Introductionmentioning

confidence: 99%

Vapor Phase Homogeneous Nucleation of Higher Alkanes: Dodecane, Hexadecane, and Octadecane. 2. Corresponding States and Scaling Law Analysis

and

El‐Shall

2001

J. Phys. Chem. B

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The results from corresponding states and scaled nucleation models indicate that the nucleation behavior of the normal alkanes follows a predictable trend. Systematic deviations from ideal fluid behavior can be correlated to physical properties, such as the increase in the entropy of vaporization and the increase in the excess surface entropy of the nucleating clusters. Hale's scaled nucleation model allows for the accurate prediction of nucleation threshold behavior for the alkanes. Experimental agreement with the model is maintained throughout the temperature range studied. The scaled model for the nucleation rate provides a better description of the experimental rates than the classical nucleation theory. The addition of extra terms to the classical expression of the free energy of cluster formation and the inclusion of the Fisher's droplet model term significantly compensate for the strong temperature dependence present in the flux prefactor of the classical rate equation. For accurate predictions of the nucleation rates, the proper inclusion of the configurational entropy term to the droplet free energy must be considered in a consistent manner.

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Scaled models for nucleation

Cited by 11 publications

References 48 publications

Condensation of supersaturated vapors of hydrogen bonding molecules: Ethylene glycol, propylene glycol, trimethylene glycol, and glycerol

Condensation of supersaturated vapors of hydrogen bonding molecules: Ethylene glycol, propylene glycol, trimethylene glycol, and glycerol

Scaled Vapor-to-Liquid Nucleation in a Lennard-Jones System

Vapor Phase Homogeneous Nucleation of Higher Alkanes: Dodecane, Hexadecane, and Octadecane. 2. Corresponding States and Scaling Law Analysis

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