Analytic Solution on the Estimation of the Ångstrom Exponent in Log-Normal Aerosol Size Distribution

In this study, the Ångstrom exponent of the polydispersed aerosol size distribution was theoretically studied. The Ångstrom exponent was represented using a harmonic mean type analytic approximation. A log-normal aerosol size distribution was assumed and a sensitive analysis of the Ångstrom exponent...

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Bibliographic Details
Published in:Particulate science and technology 2013-01, Vol.31 (1), p.92-99
Main Authors: Jung, Chang H., Kim, Yong P.
Format: Article
Language:English
Subjects:
Aerosols
analytic solution
Approximation
Estimating techniques
extinction coefficient
harmonic mean
log-normal size distribution
Mathematical functions
polydispersed aerosol
Sensitivity analysis
Weights & measures
Ångstrom exponent
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Summary:In this study, the Ångstrom exponent of the polydispersed aerosol size distribution was theoretically studied. The Ångstrom exponent was represented using a harmonic mean type analytic approximation. A log-normal aerosol size distribution was assumed and a sensitive analysis of the Ångstrom exponent was performed. The change in the Ångstrom exponent was estimated for a range of values of the real and imaginary parts of the refractive index. The result of the approximate analytic solution was comparable with that obtained by numerical integration, although there exists some discrepancy, especially for the intermediate range of particle sizes. Subsequently, this study quantitatively shows how the refractive index and particle size distribution are crucial in estimating the Ångstrom exponent, and that an analytic type approximation can be applied for the estimation of the Ångstrom exponent, especially for the limiting ranges of particle size (i.e., for the Rayleigh and geometric mean dominant size ranges).
ISSN:0272-6351
1548-0046
DOI:10.1080/02726351.2012.658902