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Nanocrystalline and nanocomposite rare earth permanent magnet materials and methods for making the magnets are provided. The magnet materials can be isotropic or anisotropic and do not have a rare-earth rich phase. The magnet materials comprise nanometer scale grains and possesses a potential high maximum energy product, a high remancence, and a high intrinsic coercivity. The magnet materials having these properties are produced by using methods including magnetic annealing and rapid heat processing.