Overlapping of Dust Particles on a Sampling Plate

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IF, in a dust sample intended for microscopic examination, the number of particles per unit area were too large, some of the particles would overlap. Such 'clumps' would be counted as single particles instead of two, three or more, and the total count would be too low. The following analysis gives an indication of the magnitude of this effect. We shall assume that the particles may be regarded as circular laminæ of diameter d, and that their centres are distributed randomly over an area A . If the particles were of highly irregular shape and size, the present results might be invalid.

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IRWIN, J., ARMITAGE, P. & DAVIES, C. Overlapping of Dust Particles on a Sampling Plate. Nature 163, 809 (1949) doi:10.1038/163809a0

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