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Mössbauer study of the anisotropy of the hyperfine interactions of the 57Fe nuclei in the system Zr1-xScxFe2 (0 ≤ x ≤ 1) was carried out. In term of the tensor approach to the description of the magnetic hyperfine interaction anisotropy the concentration dependences of the quadrupole interaction constant, isotropic and anisotropic magnetic fields, as well as the azimuth and polar angles that define the orientation of the easy magnetization axis were obtained.