Mass attenuation coefficients and partial photon interactions have been calculated theoretically at photon energy 60 keV for Bi2O3, PbO and BaO in xRmOn:(100-x)B2O3 glass system, when 30 x 70 (by %weight) using WinXCom. The values of these parameters have been found to significantly change with increasing of RmOn concentration. The variations of mass attenuation coefficients, photoelectric absorption, and coherent scattering were increased, whereas Compton scattering decreased along with increasing composition of glass samples. Those variations are due to photoelectric effect is the dominant interaction in low photon energy region. The use of mass attenuation coefficients to determine effective atomic numbers are also discuss, which found to be increase with the concentration of glass samples. This result reflecting the possibility to use bismuth and barium replaces lead for development of lead-free radiation protecting glass at appropriated photon energy, for leave non-toxically impact to our environment.