Global InformationDe Brouckere mean diameter information
The De Brouckere mean diameter is the mean of a particle size distribution weighted by the volume (also called volume-weighted mean diameter, volume moment mean diameter.[1] or volume-weighted mean size[2]). It is the mean diameter, which is directly obtained in particle size measurements, where the measured signal is proportional to the volume of the particles. The most prominent examples are laser diffraction[3] and acoustic spectroscopy (Coulter counter).
The De Brouckere mean is defined in terms of the moment-ratio system as,
![{\displaystyle D[4,3]={\frac {\Sigma n_{i}D_{i}^{4}}{\Sigma n_{i}D_{i}^{3}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4ab0127329cc75fb6c60282345b5869a75942386)
Where ni is the frequency of occurrence of particles in size class i, having a mean Di diameter.[2] Usually in logarithmic spaced classes, the geometric mean size of the size class is taken[4]
- ^ Allen, Terence (2013). Particle size measurement. Springer. p. 128.
- ^ a b "ISO 9276-2:2014 - Representation of results of particle size analysis — Part 2: Calculation of average particle sizes/diameters and moments from particle size distributions". ISO.
- ^ "ISO 13320:2020 Particle size analysis - Laser diffraction methods".
- ^ Merkus, Henk G. (2009-01-07). Particle Size Measurements: Fundamentals, Practice, Quality. Springer Science & Business Media. ISBN 9781402090165.