A lithium secondary battery comprising a positive electrode, a negative electrode comprising a carbonaceous material which is capable of absorbing and desorbing lithium ions, and a non-aqueous electrolyte disposed between the negative electrode and the positive electrode. The carbonaceous material comprises a graphite crystal structure having an interplanar spacing d002 of at least 0.400 nm (preferably at least 0.55 nm) as determined from a (002) reflection peak in powder X-ray diffraction. This larger interplanar spacing implies a larger interstitial space between two graphene planes to accommodate a greater amount of lithium. The battery exhibits an exceptional specific capacity, excellent reversible capacity, and long cycle life.