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(10 citation statements)

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“…The differences in the normalized single-scattering properties of different aggregates, with the same fractal parameters, are overall rather small for the three methods, with ratios of the standard deviations to the corresponding mean values less than 0.5% for the extinction and absorption cross sections and less than 3.5% for the single-scattering albedo. Similar results were obtained by Liu and Mishchenko (2007) and Liu and Smallwood (2010). The relatively small standard deviations indicate that a choice of K = 20 for ensemble size is sufficiently large for reliable statistics on mean quantities.…”

confidence: 75%

“…The differences in the normalized single-scattering properties of different aggregates, with the same fractal parameters, are overall rather small for the three methods, with ratios of the standard deviations to the corresponding mean values less than 0.5% for the extinction and absorption cross sections and less than 3.5% for the single-scattering albedo. Similar results were obtained by Liu and Mishchenko (2007) and Liu and Smallwood (2010). The relatively small standard deviations indicate that a choice of K = 20 for ensemble size is sufficiently large for reliable statistics on mean quantities.…”

confidence: 75%

“…The relatively small standard deviations indicate that a choice of K = 20 for ensemble size is sufficiently large for reliable statistics on mean quantities. Liu and Smallwood (2010) also found that K = 20 was sufficient to get converged results, and stated that a choice of K = 10 can be adequate. Figure 5 shows ensemble-averaged extinction and absorption cross sections and the single-scattering albedo of fractal aggregates, consisting of 200 water-coated monomers, as a function of relative thickness q at an incident wavelength of 0.628 µm.…”

confidence: 99%

“…The orientation-averaged GMM results were then used for realization averaging. The GMM results reported in this study were obtained for 10 realizations for all the aggregate sizes computed between N p = 10 to 800, based on a previous study (Liu and Smallwood 2010a). Unless otherwise stated, all the GMM results presented below were obtained with the interactions among primary particles taken into account.…”

confidence: 99%

“…were generated based on a recent study (Liu and Smallwood 2010a), where it was shown that averaging over ten realizations is adequate to achieve realization independent radiative properties of soot fractal aggregates.…”

confidence: 99%