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The magnetic field dependences of birefringence in a $NdFe_3(BO_3)_4$ singlecrystal have been measured in the case where the direction of light propagationcoincides with the trigonal crystal axis $C_3$ ($k\|C_3$), and the externalmagnetic field is oriented along the second-order axis $C_2$ ($H\|C_2$). In thetemperature range, in which an incommensurate phase exists with the formationof a long-period antiferromagnetic helix, the strongly pronounced jumps in thefield dependence of birefringence are revealed and identified as a firstorderspin-orientation phase transition. The phase transition was accompanied by ahysteresis in the field dependences of birefringence. The $H-T$ phase diagramfor a $NdFe_3(BO_3)_4$ single crystal has been plotted in the case where themagnetic field is oriented along the crystal axis $C_2$ ($H\|C_2$).

Magnetooptical Study of Spin-Orientation Phase Transition in $NdFe_3(BO_3)_4$ Single Crystal