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The purpose of the present work was to investigate the relation between the radiation stability of zircon ZrSiO4, monazite LaPO4, lakargiite Ca(Zr,Ti,Sn)O3 and compounds Gd2Zr2O7 with the structure of pyrochlore using method of molecular dynamics (MD). In recent decades, this method has actively been used to investigate some minerals and technical materials that are of interest for utilization of HLW and “weaponized plutonium.”