Theoretical calculation of uncertainty region based on the general size distribution in the preparation of standard reference particles for particle size measurement

Yoshida Hideto

Yamamoto Tetsuya

Fukui Kunihiro

Masuda Hiroaki

Advanced Powder Technology

In order to confirm the reliability of particle size measurement technique and to prepare standard reference particles for calibrating particle size measurement devices, experimental and theoretical studies have been conducted about the uncertainty region of particle size measurement for the general particle size distribution. A new theoretical equation to calculate fundamental uncertainty region in the case that the maximum and minimum particle sizes are known, is derived based on Tschebyscheff theory. The uncertainty regions calculated based on the proposed method are applied to poly-disperse particles and a picket-fence distribution composed of two kinds of nearly mono-disperse particles.

For the poly-disperse particles, the uncertainty region increases with the increase in particle diameter. For the picket-fence distribution composed of two kinds of nearly mono-disperse particles, the uncertainty region increases around the intermediate particle diameters between the two kinds of particles.

Numerical simulation of uncertainty region for the picket-fence distribution has also been carried out. The uncertainty region decreases with the increase in sample size or the decrease in geometric standard deviation.

Particle size

Standard reference particles

Truncated log-normal distribution

Uncertainty region

Size measurement

Chemical technology [ 570 ]

eng

Elsevier B.V.

(c) 2011 The Society of Powder Technology Japan. Published by Elsevier B.V. and The Society of Powder Technology Japan. All rights reserved.

[ISSN] 0921-8831

[DOI] 10.1016/j.apt.2011.01.011

[NCID] AA1074214X

[DOI] http://dx.doi.org/10.1016/j.apt.2011.01.011