The reanalysis of the previously published abundance pattern of mild barium star HD202109 (ζ Cyg) and the chemical
compositions of 129 thin disk barium stars facilitated the search for possible correlations of different stellar parameters with
second ionization potentials of chemical elements. Results show that three valuable correlations exist in the atmospheres of
barium stars. The first is the relationship between relative abundances and second ionization potentials. The second is the
age dependence of mean correlation coefficients of relative abundances vs. second ionization potentials, and the third one is
the changes in correlation coefficients of relative abundances vs. second ionization potentials as a function of stellar spatial
velocities and overabundances of s-process elements. These findings demonstrate the possibility of hydrogen and helium
accretion from the interstellar medium on the atmospheres of barium stars.