Positive electrode-active materials for use in lithium-ion and lithium-ion polymer batteries contain quaternary composite oxides of manganese, nickel, cobalt and aluminum where one of the four is present at levels of over 70 mol percent. The composite oxides can be lithiated to form positive electrode-active materials that are stable over at least ten charge/discharge cycles at voltage levels over 4.8 volts, and have capacities of over 200 mAh/g. Methods for producing the materials and electrochemical cells and batteries that include the materials are also provided.