Exemplary of such a situation is a case where it is desired to irradiate with high energy electrons one or more layers of a film containing a barrier layer comprised of one or more copolymers of vinylidene chloride (i.e. saran), such as of vinylidene chloride and acrylonitrile or such as of vinylidene chloride and vinyl chloride or such as of vinylidene chloride and methyl acrylate.