HARD COATING, METHOD FOR MANUFACTURING SAME, AND HARD-COATED ARTICLE

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Disclosed is a hard coating including a chemical composition specified by formula : (Ti a Al b Si c R d )O x , where R represents at least one rare-earth element; and a, b, c, d, and x are atomic ratios respectively of Ti, Al, Si, R, and O. The atomic ratios meet conditions as specified by formulae : 0.30‰¤a‰¤0.7, 0.30‰¤b‰¤0.70, 0‰¤c‰¤0.2, 0.005‰¤d‰¤0.05, a + b + c + d =1, and 0.5‰¤a/b < 1. The atomic ratios meet a condition as specified by Formula (1) when R does not include Ce. The atomic ratios meet a condition as specified by Formula (2) when R includes Ce. The hard coating has better wear resistance as compared with conventional nitride films and oxide films. 0.8 ‰¤ x / 2 �¢ a + 1.5 �¢ b + 2 �¢ c + 1.5 �¢ d ‰¤ 1.2 0.8 ‰¤ x / 2 �¢ a + 1.5 �¢ b + 2 �¢ c + 2 �¢ d ‰¤ 1.2