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The de Haas-van Alphen (dHvA) effect was measured for the paramagnetic compound CrP with an orthorhombic MnP-type structure using a high quality single crystal. Ten branches of dHvA frequency below 9200T are obtained in the (010) plane at 0.6K. Four frequencies in a field along the symmetry axes agree qualitatively with the theoretical results calculated with an all-electron relativistic LAPW method. The cyclotron mass ratios in two branches along the [100] axis are 4.6 and 3.1, respectively.

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