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The present invention provides : a regenerator material having a high specific heat in a temperature range equal to or higher than 10 K (particularly a temperature range from 10 to 20 K); and a regenerator and a refrigerator each of which is provided with the regenerator material. More specifically, the present invention provides : a rare earth regenerator material characterized by being represented by general formula (1) : Er1-xRxNi1+α (1) [wherein x represents a value satisfying the formula : 0 < x < 1; α represents a value satisfying the formula : -1 < α < 1; and R represents at least one element selected from Y and lanthanoid elements (excluding Er); and a regenerator and a refrigerator each of which is provided with the regenerator material.