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Surface geometric irregularities of a wide variety of particulate materials are determined by applying the fractal theory of surface science (P. Pfeifer and D. Avnir, J. Chem. Phys. 79, 3558 1983). Reanalysis and reinterpretation of previously published experimental data, revealed the following surface-fractal dimensions, all falling in the expected range 2.0 to 3.0, for the following materials: periclase—1.95; a number of quartzes—2.02 to 2.21; iron oxide—2.59; porous silica gel—3.0; coal dusts—2.33 and 2.53; six carbonate rocks—2.16 to 2.97; seven types of soils—2.19 to 2.99; a number of crushed rocks from nuclear test site—2.7 to 3.0. We describe in detail the method by which these fractal dimensions were determined, i.e., studying the dependence of monolayer values (n) on particle radii (R): n ∝ R^D-3. Interestingly, several authors had presented their experimental results as log n vs log R, yet no explanation was …