Partial Derivative Fitted Taylor Expansion: An efficient method for calculating gas/liquid equilibria in atmospheric aerosol particles - Part 2: Organic compounds

Abstract

A flexible mixing rule is presented which allows the calculationof activity coefficients of organic compounds in a multi-component aqueous solution.Based on the same fitting methodology as a previously published inorganic model (PartialDifferential Fitted Taylor series Expansion; PD-FiTE), organic PD-FiTE treats interactionsbetween binary pairs of solutes with polynomials of varying order. The numerical frameworkof organic PD-FiTE is not based on empirical observations of activity coefficient variation,rather a simple application of a Taylor Series expansion. Using 13 example compoundsextracted from a recent sensitivity study, the framework is benchmarked against the UNIFAC model.For 1000 randomly derived concentration ranges and 10 relative humidities between 10 and 99%,the average deviation in predicted activity coefficients was calculated to be 3.8%. Whilstcompound specific deviations are present, the median and inter-quartile values across all relative humidity range always fell within ±20% of the UNIFAC value. Comparisons were made with the UNIFAC model by assuming interactions between solutes can be set to zero within PD-FiTE. In this case, deviations in activity coefficients as low as g 40% and as high as +70% were found. Both the fully coupled and uncoupled organic PD-FiTE are up to a factor of ≈12 and ≈66 times more efficient than calling the UNIFAC model using the same water content, and & 310 and g 1800 times more efficient than an iterative model using UNIFAC. The use of PD-FiTE within a dynamical framework is presented, demonstrating the potential inaccuracy of prescribing fixed negative or positive deviations from ideality when modelling the evolving chemical composition of aerosol particles. © Author(s) 2012. CC Attribution 3.0 License.