The permanent magnet flux motor and generator and using the same

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In an embodiment, a magnet material includes a composition represented by R(FepMqCur(Co1-aAa)1-p-q-r)z, where R is at least one element selected from rare earth elements, M is at least one element selected from Ti, Zr and Hf, A is at least one element selected from Ni, V, Cr, Mn, Al, Si, Ga, Nb, Ta, and W, p is 0.05≦p≦0.6, q is 0.005≦q≦0.1, r is 0.01≦r≦0.15, a is 0≦a≦0.2, z is 4≦z≦9, and a structure including an intragranular phase having a Th2Zn17 crystal phase and a grain boundary phase. An average crystal grain diameter of the intragranular phase is in a range of 20 to 500 nm, and an average thickness of the grain boundary phase is smaller than a magnetic domain wall thickness.