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Table 8 Examples of operators used to describe particle distributions in terms of particle size or shape

From: Principles and requirements for nanomaterial representations to facilitate machine processing and cooperation with nanoinformatics tools

Before

After

50% < 5 nm, 30% 5–10

{5 nm, 5–10 nm}:{0.5, 0.3}

Mixture of spherical, prismatic and rod-shaped

{sphere, prism, rod}:{}

0.45% NaCl w/ 0.1% glucose

{NaCl, glucose}:{0.0045,0.001}

Mass-concentration proportions:(96 mg/L A, 60 mg/L B, 60 mg/L C, 4 mg/L D)

{A, B, C, D}:{96, 60, 60, 4}mg/L

At least 99.5% purity

…:{\(\mathrm{cdf}\left(1,0.995\right)\)} → combine with distributions extension (see "Distributions & Ranges" Section)