Complexing or chelating agents that offer strong, selective bonding with uranium as well as a broad pH range of effectiveness, specifically including the pH range around 8.2, together with the acrylic double bonds required for radiation-induced grafting on polymers to remove uranium from a solution such as seawater. The novel adsorbing species are phosphorus-containing molecules, in particular organic phosphates, phosphonates and phosphoric acids. Organic phosphorus compounds, for example, organic phosphates, phosphonates, and phosphoric acids, are attached to polymer fibers to form fibers, fiber fabrics or membranes that are effective, or show activity, in uranium adsorption.