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The applicability of the Benford law for different data sets of atomic crosssections by ion impact is studied. We find that the data sets corresponding totheoretical ionization and capture cross sections of neutral targets bymulticharged ions satisfy quite well the Benford law, not only for the firstdigits but also within a given order of magnitude. Experimental stopping powervalues from the International Atomic Energy Agency database were alsoscrutinized, but in this case the Benford conformity was not so satisfactorydue to its small rank width. In all cases, errors, densities of prime numbers,and theorems of Nigrini and Pinkham are evaluated and discussed.

The atomic ionization, capture, and stopping cross sections by multicharged ions satisfy the Benford law