Hardness, crack resistance, brittleness, and effective fracture energy have been studied for crystals of 24 fluorite phases Sr 1 -x R x F 2 + x (R are 14 rare earth elements (REEs); 0 < x ≤ 0.5) and SrF 2 grown by the Bridgman method from a melt. These characteristics change nonlinearly with an increase in the REE content for Sr 1 -x R x F 2 + x (0 < x ≤ 0.5) with R = La, Nd, Sm, Gd, and Lu; it is maximum in the range x < 0.1 for all REEs. The changes in a number of REEs have been traced for an isoconcentration series of Sr 0.90 R 0.10 F 2.10 crystals (R = La, Nd, Sm, Gd, Ho, Er-Lu, or Y) and crystals (similar in composition) with R = Tb and Dy. The hardness of Sr 1 -x R x F 2 + x crystals is higher by a factor of ~2-3 than that of SrF 2 . The effect of decrease in microstresses in SrF 2 crystals is confirmed by the isomorphic introduction of R 3+ ions into this crystalline matrix.