The ESR spectrum of Dy^{3+} ion in the low-symmetry RbDy(WO_{4})_{2} crystal has been studied in the temperature region of T=4.2 ÷ 30K. The ESR linewidth was found to increase from 130 mT up to the maximum value of 190 mT at T=9K and then to decrease down to 150 mT at 4.2K. The components of the g-tensor change considerably without change of their spatial orientation in the temperature range from 12K to 7 K: g_{z}=2.5, g_{x}≈0, g_{y}=1.41 at T>12 K; g_{z}=1.53, g_{x}≈0, g_{y}=1.2 at T<7K. The observed λ-shaped behaviour of absorption linewidth and the decrease in the g-factor are assumed to be due to the low-temperature structural phase transition (T_{SPT}≈9 K). The width of the transition area is of about 5K. It is suggested that the symmetry of high- and low-temperature phases is identical.
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