Extinction cross sections of arbitrarily shaped randomly oriented nonspherical particles

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Abstract
Extinction cross section of large arbitrarily shaped randomly oriented nonspherical particles is always larger than the extinction cross section of spherical particles of the same volume. This theorem is proved rigorously for particles with the size parameter x ≫ 1. It is conjectured that the same is true for sufficiently wide polydispersions of particles with x > 15.