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