The distributions of size and shape of a material’s grains can be constructed from a 2D slice of the material and electron diffraction data.
Moment-based methods provide a simple way to describe a population of spherical particles and extract 3d information from 2d measurements.
Spheres crowd around each other in a manner that depends on their size distribution. We give a simple way to estimate the packing fraction.
Lognormal distributions (and mixtures of same) are a useful model for the size distribution in emulsions and sediments.
Schematic of the disruption of close-packed polyhedral cells in tomato tissue into individual cells.