R a-T a-B rare earth sintered magnet, R a-T a-B based rare earth sintered magnet alloy and manufact

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An R-T-B rare earth sintered magnet contains R which represents a rare earth element; T which represents a transition metal essentially containing Fe; a metal element M which represents Al and/or Ga; B; Cu; and inevitable impurities the R-T-B rare earth sintered magnet including 13.4 to 17 at% of R, 4.5 to 5.5 at% of B, and 0.1 to 2.0 at% of M, and T as the balance; in which the R-T-B rare earth sintered magnet is formed of a sintered body which includes a main phase composed of R 2 Fe 14 B and a grain boundary phase including a larger amount of R than the main phase; in which the magnetization direction of the main phase is a c-axis direction, in which crystal grains of the main phase have one of an elliptical shape and an oval shape extended in such a direction so as to cross the c-axis direction; and in which the grain boundary phase includes an R-rich phase in which the total atomic concentration of the rare earth elements is 70 at% or greater and a transition metal-rich phase in which the total atomic concentration of the rare earth elements is 25 to 35 at%.