Method of separating and recovering rare earth element

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The invention relates to a separating and recycling method of rare earth elements, and provides a method for separating and recycling rare earth elements with a high yield which is simpler and more convenient than the prior art. The method is characterized by comprising : a process of adding a specified amount of metal M to a halide mixture containing the abovementioned various rare earth elements; a process of achieving a chemical equilibrium state of a divalent halide generating the abovementioned various rare earth elements and a halide of the abovementioned metal M by heating under atmospheric pressure the mixture to which the abovementioned metal M is added; a process of generating a metal and a trivalent halide of a rare earth element due to disproportionation reaction of a divalent halide of a rear earth element among the abovementioned various rare earth elements by performing vacuum pumping on a system that achieves the abovementioned chemical equilibrium state; and a process of separating the abovementioned mixture into a distilled condensate of the trivalent halide of the abovementioned rare earth element and residues by performing vacuum distillation on the system.