NOVELTY - The lithium ion battery comprises: a positive electrode, where an amorphous chalcogenide comprises lithium-ions or lithium-ion conductors; a negative electrode; a separator between the positive and the negative electrodes; and non-aqueous electrolyte. The separator comprises a non-woven fleece made of fibers, a porous membrane, a ceramic electrolyte separator, and a glass electrolyte separator or a polymer electrolyte. Elements contained in the chalcogenide are not present in a stoichiometric ratio. The amorphous chalcogenide is present as a coating on the positive electrode.    USE - The lithium-ion battery is useful for energy supply for mobile information devices, tools, electrically operating automobiles, and automobiles with hybrid drive (claimed).    ADVANTAGE - The lithium-ion battery can be economically manufactured with high energy density and capacitance, and good durability and conductance.    DETAILED DESCRIPTION - The lithium ion battery comprises: a positive electrode, where an amorphous chalcogenide comprises lithium-ions or lithium-ion conductors; a negative electrode; a separator between the positive and the negative electrodes; and non-aqueous electrolyte. The separator comprises a non-woven fleece made of fibers, a porous membrane, a ceramic electrolyte separator, a glass electrolyte separator or a polymer electrolyte. Elements contained in the chalcogenide are not present in a stoichiometric ratio. The amorphous chalcogenide is present as a coating on the positive electrode. The positive electrode in addition to the amorphous chalcogenide comprises a crystalline oxide, which comprises/conducts the lithium-ions. A porous inorganic coating conducting the lithium-ions is present in the fleece and/or one side or both sides of the fleece. The separator partially consists of a material-permeable support, which is not or only poorly electron-conductive, where: the carrier is coated on a side with the inorganic material; and an organic material is partially used as the material-permeable carrier, which is designed as the non-woven fabric. The organic material is designed in form of the polymer fibers, where the fleece is coated with an inorganic ion-conductive material, which is inner-conductive at a temperature range of -40 degrees C to 200 degrees C. The inorganic ion-conductive material comprises a particle having a largest diameter below 100 nm.