Particle/grain size and their number density are
commonly characterized in two dimensions (2D) from planar
optical or SEM micrographs of polished samples. Accurate
conversion of such quantities into the three dimensional (3D)
values are necessary for prediction of material properties.
Several contradicting conversion correlations are available in
literature. The main objective of the current works it to verify
some of them. For this purpose, geometrical (3D) models of
randomly distributed mono-size spheres were constructed and
sliced at different planes. The particle count and their size were
variated within the same control volume. The statistical
investigations of the date suggested a (2D)-to-(3D) conversion
factor of 1.152377 ± 0.009427, which is very close to some of
earlier works [A. N. Sinha, 1999].