Effect of Particle Shape on Size Analysis Using Feret's Diameter

Abstract

The effect of the shape of a powder on its size distribution measured by Feret's diameter was studied theoretically. The theoretical equation of the effect was solved numerically for ellipsoidal, rectangular and rhombic particles having logarithmic normal size distribution.
It was found not only that the measured variance was greater than the population variance, but also that the average diameter bore a bias under some conditions and that the order of the effect of shape was rhombus, ellipsoid and rectangle.