NOVELTY - Non-aqueous electrolyte battery includes a negative electrode containing a lithium-titanium composite oxide comprising a crystallite diameter of not greater than 6.9x102 Angstrom . The lithium-titanium composite oxide includes a rutile type titanium oxide, an anatase type titanium oxide, lithium titanium oxide and a lithium titanate having a spinel structure. Each of the rutile type titanium oxide, the anatase type titanium oxide, and lithium titanium oxide has a main peak intensity not greater than 7 on the basis that a main peak intensity of the lithium titanate as determined by the X-ray diffractometry is set at 100.    USE - The non-aqueous electrolyte battery is used in a battery pack useful for vehicle (claimed), e.g. hybrid electric automobile.    ADVANTAGE - The inventive non-aqueous electrolyte battery is excellent in the large current characteristics. It has lithium-titanium composite oxide that exhibits low lithium ion conductivity, i.e. the lithium ion conductivity of the lithium-titanium composite oxide is much lower than that of lithium-cobalt composite oxide. The diffusion rate of the lithium ions is increased with decrease in the crystallite diameter of the lithium-titanium composite oxide to improve the ionic conductivity of the lithium-titanium composite oxide, and with decrease amount of the impurity phases contained in the lithium-titanium composite oxide. The ionic conductivity of the lithium-titanium composite oxide is improved by allowing the crystallite diameter and the amount of the impurity phases of the lithium-titanium composite thus improving the large current discharge characteristics of the non-aqueous electrolyte battery. The lithium-titanium composite oxide increases the diffusion rate of the lithium ions and improves ionic conductivity. It has a small crystallite diameter to increase the crystal boundary area per unit weight thus rendering self-discharge.    DETAILED DESCRIPTION - Non-aqueous electrolyte battery comprises positive and negative electrodes and a non-aqueous electrolyte provided in a case. The negative electrode contains a lithium-titanium composite oxide comprising a crystallite diameter of not greater than 6.9x102 Angstrom . The lithium-titanium composite oxide includes a rutile type titanium oxide (TiO2), an anatase type TiO2, lithium titanate (Li2TiO3) and a lithium titanate having a spinel structure. Each of the rutile type TiO2, the anatase type TiO2 and Li2TiO3 has a main peak intensity not greater than 7 on the basis that a main peak intensity of the lithium titanate as determined by the X-ray diffractometry is set at 100. INDEPENDENT CLAIMS are included for:    (1) battery pack comprising the non-aqueous electrolyte batteries;    (2) vehicle comprising the battery pack; and    (3) the lithium-titanium composite oxide.