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The angular and temperature dependences of single crystal ESR spectra atX-band frequency of quasi 1D spin 1/2 antiferromagnetic zigzag chain system{\beta}-TeVO4 are reported. Two resonance components in the ESR spectrum havebeen detected: a weak narrow resonance on the top of the extremely broadsignal. The narrow line might be due to an impurity, the characteristics of thebroad absorption do not correlate with a picture of the typical behavior forthe V4+ ions (S = 1/2) with a square pyramidal environment. It was found thatat low temperatures the divergence of the spin susceptibility and linewidth ofthe observed excitations can be due to a realization of three dimensionalmagnetic ordering.

Specific features of electron spin resonance in quasi-1D magnet {\beta}-TeVO4