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In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied,and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials.Several particular cases such as the ring-shaped non-spherical harmonic oscillator,the ring-shaped harmonic oscillator,non-spherical harmonic oscillator,and spherical harmonic oscillator are also discussed.