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A solid solution material of rare earth element fluoride (a polycrystl and/or a single crystal), characterized in that it comprises a combination of a plurality of rare earth element fluorides exhibiting phase transition and having different ionic radii and has no phase transition; a rare earth element fluoride solid solution material (a polycrystl and/or a single crystal), characterized in that it is represented by (REyRE’1-y)F3 (0.0000 < y < 1.0000), wherein RE represents one or more selected from Sm, Eu and Gd, and RE’ represents one or more selected from Er, Tm, Yb, Lu and Y; a rare earth element fluoride solid solution material (a polycrystl and/or a single crystal), which is represented by MxREyRE’1-x-yFz, wherein RE represents one or more selected from Ce, Pr, Nd, Eu, Tb, Ho, Er, Tm and Yb, and RE’ represents one or more selected from La, Sm, Gd, Dy, Lu, Y and Sc, and M represents one or more of Mg, Ca, Sr and Ba.