NOVELTY - Battery (A1) (100) comprises a negative electrode (102), positive electrode (104), separator (106) between the electrodes, and non-aqueous electrolyte comprising lithium ions. The negative electrode comprises graphite and positive electrode comprises a lithium intercalation composition. The battery has a room temperature discharge specific energy of at least 175 Watt-hour/kg at C/3 discharge rate for cycle 5 at a discharge from 4.2-2.5V and a cycle life with at least 70% capacity at 1000 cycles relative to cycle 5 at C/2 discharge from 4.2-2.5V for the fifth cycle through the 1000th cycle.    USE - The batteries are useful in electric vehicles (claimed), hybrid vehicles, or plug-in hybrids.    ADVANTAGE - The batteries: are improved power sources having high energy, high specific capacity, high overall capacity, and high tap density; have a long cycle life upon cycling at a moderate discharge rate; have an improved cycling performance, hence exhibit deep discharge cycling up over 1000 cycles while maintaining appropriate levels of performance; provide high specific discharge capacities; is cost-effective; exhibit continuing high total capacity when cycled; have improved positive electrode active materials with respect to specific capacity, tap density and cycling; provide synergistic improvement with respect to overall battery performance; and provide excellent volumetric performance.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are also included for:    (1) a battery (A2) comprising a negative electrode, a positive electrode, a separator between the negative electrode and the positive electrode, and a non-aqueous electrolyte comprising lithium ions, where the negative electrode comprises graphite and the positive electrode comprises a lithium intercalation composition, the lithium intercalation composition comprises a lithium rich layered lithium metal oxide, and the battery has a room temperature discharge specific energy of at least 175 Watt-hour/kg at a C/3 discharge rate for cycle 5 at a discharge from 4.2V to 2.5V and a cycle life with at least 70% capacity at 600 cycles relative to cycle 5 at a C/2 discharge from 4.2V to 2.5V for the fifth cycle through the 600th cycle; and    (2) an electric vehicle comprising: an electric motor; a drive train comprising wheels mounted on axles driven by the electric motor; a passenger compartment comprising seats and controls, where the passenger compartment is supported at least in part by the drive train; and an electrical power pack comprising many lithium ion batteries, where the power pack provides at least 40 kilo Watt-hour of power and a volume of no more than 128 l and a room temperature cycle life of at least 70% capacity at 1000 cycles relative to cycle 5 at a C/2 discharge from 4.2-2.5V for the fifth cycle through the 1000th cycle.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic drawing of a battery structure separated from a container.    Battery (100)    Negative electrode (102)    Positive electrode (104)    Separator (106)    Current collectors (108, 110)