TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Composition: The Li-Ti composite oxide includes boron, sodium, phosphorus (P), and/or potassium at 0.01-5 wt.%. P is present at 0.1-3 wt.%. Preferred Components: The element is segregated on an interface of a crystallite of the Li-Ti composite oxide. Preferred Parameter: The Li-Ti composite oxide shows an X-ray diffraction pattern in which each of main peak intensities of rutile TiO2, anatase TiO2 and Li2TiO3 is less than or equal to 3 with respect to a main peak intensity of ramsdellite Li2TiO3 of 100. A ratio of main peak intensity of ramsdellite Li2TiO3 to that of spinel Li2TiO3 is 1:9 to 5:5. The composite oxide has a crystallite diameter of less than or equal to 80.1 mu m.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The electrolyte includes a mixture solvent from propylene carbonate, ethylene carbonate, and/or gamma -butyrolactone. EXAMPLE - Anatase titanium oxide (TiO2) was charged into a liquid solution formed by dissolving potassium hydrate into purified water, and a resultant product material was dried and fired at 10000 degrees C for 5 hours in the atmosphere. A ramsdellite lithium titanium composite oxide (Li2Ti3O7) containing 0.011 wt.% of potassium was obtained. In X-ray diffraction, when the main peak intensity of ramsdellite Li2TiO3 was taken as 100, the main peak intensity of rutile TiO2 was 3, and the main peak intensity of anatase TiO2 and the main peak intensity of Li2TiO3 were less than 1. The crystallite size of Li-Ti composite oxide achieved at this time was 675 Angstrom . Further, an average particle size of a Li-Ti composite oxide powder was 0.82 mu m. About 1.5 mol/L of lithium tetrafluoroborate serving as an electrolyte was dissolved into a mixed solvent formed from a mixture of ethylene carbonate and gamma -butyrolactone at a 1:2 volume ratio, thus preparing a liquid nonaqueous electrolyte. After the electrolyte was poured into the laminate film pack housing the electrode group, the pack was completely sealed by heat sealing. Thus, a nonaqueous electrolytic secondary battery was manufactured.