Statistical diameters weight mean

Mass median diameter. The uncertainties reported are the weighted means of the one-sigma uncertainties (from counting statistics) of the multiple photopeaks used in the analysis as described by Heft (17). 

This means that particle configurations where at least two particles overlap, i.e., have a distance r smaller than the diameter cr, are forbidden. They are forbidden because the Boltzmann factor contains a term, exp(—oo) 0, that leads to a vanishing statistical weight. Hence we have an ensemble of... 

A summary of these different types of averages can be found in Table 3. Example 5. Using the particle count data given in Example 4 and Table 2, compute the statistical mean diameters for the number-length, number-surface, number-volume, length-surface, length-volume, surface-volume, volume-moment and weight-moment mean diameters. 

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