Temperature dependence of the heat capacity of layered rare earth molybdates was measured in the temperature range from 0.4 K to 23 K. It is shown that the temperature dependence of the lattice heat capacity can be described by the "T", where n ≠ 3. It is shown that differently from KDy(MoO_{4})_{2} and CsDyEu(MoO_{4})_{2} for CsDy(MoO_{4})_{2} and CsGd(MoO_{4})_{2} we obtained the temperature term with n < 3, which can be connected with the 2D behaviour, manifested also in the so-called membrane effect.
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