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Absorption spectra fine structure of $KDy(MoO_4)_2$ in the region ofcooperative Jahn-Teller type ordering was studied. Temperature anomalies in thespectra occurring at phase transformation correlate with the ultrasoundpeculiarities observed earlier. Based on the symmetry approaching, possibleactivity of the irreducible representations of the rhombic $D_{2h}$ point groupwas discussed, which lead to the incommensurate phase at cooperative ordering.It was supposed, that coupled $A_u$-type phonon mode may lead to theincommensurate phase existence, which is possible at least in the temperatureregion 17-12 K.

The cooperative Jahn-Teller ordering investigation by absorption spectra in $KDy(MoO_4)_2$