Phase transition and freezing of ionic disorder in CsNO2 and TINO2 crystals†

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Abstract

The heat capacities of CsNO2 and TlNO2 have been measured in the temperature region between 13 and 350 K. The phase transitions of CsNO2 and TlNO2 were found at (209.16 ± 0.10)K and (282.4 ± 0.1)K. The enthalpy and entropy of the phase transition were (3.45 ± 0.20) kJ mol−1 and (17.2 ± 1.0) JK−1 mol−1 for the former, and (6.44 ± 0.31) kJ mol−1 and (23.8 ± 1.1) JK−1 mol−1 for the latter. The glass transitions were found around 42 K in CsNO2 and around 60 K for TlNO2, respectively. The corresponding dielectric relaxations were observed between 58 and 130 K for CsNO2 in the frequency range between 102 and 105 Hz and between 80 and 180 K for TlNO2 in the frequency range between 2 × 102 and 105 Hz. The calorimetric and dielectric relaxation times yielded a straight line in the Arrhenius plot over a wide time scale ranging from 10−6 to 105 sec. The slope gave the activation enthalpy of 13.8 kJ mol−1 and 19.5 kJ mol−1 for CsNO2 and TlNO2, respectively. The transition entropy supplemented by a residual entropy R ln 3 for CsNO2 and R ln 2 for TlNO2 gave (26.3 ± 1.0) JK−1 mol−1 and (29.6 ± 1.1) JK−1 mol−1 for the orientational entropy of the NO2 ion in the high-temperature phase. Based on the packing and symmetry considerations, these entropies were interpreted by the model which included two different sets of orientations of the NO2 ions parallel to [110] and [111] in the CsCl type unit cell. The existence of the different sets of orientation was proved by the doublet (Δv ~ 10 cm−1) of the Raman spectrum of the bending mode of the NO2 ion in the cubic phase of the CsNO2 crystal. The band narrowed to an ordinary singlet with increasing temperature. This observation was accounted for as the motional narrowing in which the NO2 ion felt an averaged field of the two different sets owing to the increased rate of jumping as the temperature increased.

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    †Contribution No. 47 from Chemical Thermodynamics Laboratory.

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