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An influence of high magnetic fields on hyperfine interaction in therare-earth ions with non-magnetic ground state (Van Vleck ions) istheoretically investigated for the case of $Tm^{3+}$ ion in axial symmetricalcrystal electric field (ethylsulphate crystal). It is shown that magnetic-fieldinduced distortions of $4f$-electron shell lead to essential changes inhyperfine magnetic field at the nucleus. The proposed theoretical model is inagreement with recent experimental data.Comment: 4 pages, no figures, submitted to J. Phys. : Cond. Mat

On the hyperfine interaction in rare-earth Van Vleck paramagnets at high magnetic fields