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We report on the discovery of superconductivity in the previously unknown compound TaRhC. TaRhC crystallizes in the -carbide structure type, in the cubic space group (No.227) with a unit cell parameter of 11.7947 Å. Temperature-dependent magnetic susceptibility, resistivity, and specific heat capacity measurements reveal that TaRhC is a type-II bulk superconductor with a critical temperature of = 6.4 K, and a normalized specific heat jump = 1.56. Notably, we find TaRhC has a high upper critical field of = 17.4 T, which is exceeding the BCS weak coupling Pauli limit of = 11.9 T.

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