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Articles

Accuracy of recovered moments for narrow mobility distributions obtained with commonly used inversion algorithms for mobility size spectrometers

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Pages 614-625 | Received 23 Jun 2017, Accepted 05 Mar 2018, Published online: 19 Apr 2018

Figures & data

Figure 1. Relative errors in recovered total number concentration and mean mobility and absolute error in the recovered relative variance as a function of centroid particle size and relative width of a triangular input distribution to the mobility spectrometer from Equations (Equation20, n = 5) and (Equation32). For comparison, gray dot-dash lines indicate the value of the DMA transfer function relative variance at the centroid size (or twice that value on the right axis).

Figure 1. Relative errors in recovered total number concentration and mean mobility and absolute error in the recovered relative variance as a function of centroid particle size and relative width of a triangular input distribution to the mobility spectrometer from Equations (Equation20[20] , n = 5) and (Equation32[32] ). For comparison, gray dot-dash lines indicate the value of the DMA transfer function relative variance at the centroid size (or twice that value on the right axis).

Figure 2. Numerical results for relative error in recovered total number concentration and absolute errors in the recovered log geometric mean diameter and log geometric standard deviation squared (Equation (Equation38)) as a function of geometric mean diameter and standard deviation of a lognormal input distribution to the mobility spectrometer.

Figure 2. Numerical results for relative error in recovered total number concentration and absolute errors in the recovered log geometric mean diameter and log geometric standard deviation squared (Equation (Equation38[38] )) as a function of geometric mean diameter and standard deviation of a lognormal input distribution to the mobility spectrometer.

Figure 3. Numerical results for relative error in recovered total number concentration (Equation (Equation38)), and errors in the recovered log geometric mean diameter and log geometric standard deviation relative to the input log geometric standard deviation (Equation (Equation40)). All are plotted as a function of geometric mean diameter and standard deviation of a lognormal input distribution to the mobility spectrometer.

Figure 3. Numerical results for relative error in recovered total number concentration (Equation (Equation38[38] )), and errors in the recovered log geometric mean diameter and log geometric standard deviation relative to the input log geometric standard deviation (Equation (Equation40[40] )). All are plotted as a function of geometric mean diameter and standard deviation of a lognormal input distribution to the mobility spectrometer.
Supplemental material

UAST_1455963_Supplementary_File.zip

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