HARD FILM, METHOD FOR MANUFACTURING SAME, AND HARD FILM COATING MEMBER

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Disclosed is a hard coating including a chemical composition specified by formula : (TiaAlbSicRd)Ox, 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≤1.20.8≤x/2⁢a+1.5⁢b+2⁢c+2⁢d≤1.2