NOVELTY - A positive-electrode material comprises: lithium vanadium phosphate particles, an average primary particle diameter of greater than or equal to 0.3-2.6 mu m, and crystallite sizes of greater than 24-33 nm, where the lithium vanadium phosphate particles are coated with a conductive carbon of 0.5-2.4 mass% with respect to the total mass of the lithium vanadium phosphate particles.    USE - As positive-electrode material used in a lithium-ion secondary battery (claimed) which are used as a power source of electric apparatuses, and also a power source of electric vehicle, or hybrid electric vehicle.    ADVANTAGE - The positive-electrode material improves a rate characteristic and a cycle characteristic while maintaining both an energy density and an operating voltage of the lithium-ion secondary battery at high levels.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for the following:    (1) a lithium-ion secondary battery comprising: a positive-electrode including the positive-electrode material; a negative-electrode; and a non-aqueous electrolyte; and    (2) manufacturing a positive-electrode material, where the positive electrode material includes lithium vanadium phosphate particles having an average primary particle diameter of 0.3-2.6 mu m and crystallite sizes of 24-33 nm and coated with a conductive carbon of 0.5-2.4 mass.% with respect to the total mass of the lithium vanadium phosphate particles, involving: acquiring a reaction solution including a precipitation reaction product by mixing water with lithium hydroxide, vanadium pentoxide, phosphorus, and conductive carbon or a conductive carbon precursor and stirring over 0.2 hour at 60-100 degrees C; pulverizing the reaction solution including the precipitation reaction product in a wet process using a media mill; acquiring a reaction precursor by spray-drying slurry including a pulverized product which is obtained by pulverizing the reaction solution; and calcining a lithium vanadium phosphate particle coated with conductive carbon over 2 hours at 600-1300 degrees C.