A unifying identity for the work of cluster formation in heterogeneous and homogeneous nucleation theory
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Univ. of Vienna (Austria)
A unifying identity is derived relating the reversible work of cluster formation (W), and its molecular number content (n) and surface work (Φ) components, each ratioed to the corresponding values for a spherical capillary drop of critical size in classical nucleation theory. The result is a relationship that connects these ratios: fW = -2fN + 3fS where fW=W/W*CNT , fN =n/ n* CNT, and fS =Φ/Φ* CNT . Shown to generalize two early thermodynamic relationships of Gibbs, the new result is demonstrated here for Fletcher’s model of heterogeneous nucleation, resulting in a unified treatment of condensation on flat and curved substrates and smooth passage to the homogeneous limit. Additional applications are made to clusters of non-critical as well as critical size, and to a molecular-based extension of classical nucleation theory based on the Kelvin relation. The new identity serves as a consistency check on complicated theoretical expressions and numerical calculations and can be used to guide construction of theory and interpretation of measurements.
- Research Organization:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Biological and Environmental Research (BER)
- Grant/Contract Number:
- SC0012704
- OSTI ID:
- 1466606
- Report Number(s):
- BNL-207941-2018-JAAM
- Journal Information:
- Journal of Chemical Physics, Vol. 149, Issue 8; ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
New Particle Formation in the Atmosphere: From Molecular Clusters to Global Climate
|
journal | July 2019 |
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