Heat Capacity of Ice at Low Temperatures

The heat capacity of normal hexagonal ice has been measured over the temperature range 2° to 27°K with an estimated precision varying between ±2% at the lowest temperatures and ±0.2% at the higher temperatures. The results agree satisfactorily with those of earlier measurements in the region T> 10°K, and do not significantly affect the value of the residual entropy of ice calculated by Giauque and Stout [W. F. Giauque and J. W. Stout, J. Am. Chem. Soc. 58, 1144 (1936)]. Although the new results do not influence the existing thermodynamic description of ice, they provide information which is important in understanding its vibrational properties. In the first place, extrapolation of the results to T=0°K yields a value of Θ0, the Debye characteristic temperature corresponding to continuum behavior. This is found to agree satisfactorily with Θ (elastic) estimated from the elastic constants of ice. In the second place, complete ΘD(T) curves can be constructed, and an examination of these, computed for differen...

[1]  J. A. Morrison,et al.  The thermal properties of alkali halide crystals III. The inversion of the heat capacity , 1960, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  P. Giguère.  On the anomalous thermodynamic properties of ice , 1959 .

[3]  J. A. Morrison,et al.  The heat capacity of pure silicon and germanium and properties of their vibrational frequency spectra , 1959 .

[4]  A. Zając.  Thermal Motion in Ice and Heavy Ice , 1958 .

[5]  G. Sutherland,et al.  Infra-red and Raman spectra of single crystals of ice , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[6]  R. Powell.  Preliminary measurements of the thermal conductivity and expansion of ice , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  N. Ockman.  The infra-red and Raman spectra of ice , 1958 .

[8]  R. Powell.  Thermal conductivities and expansion coefficients of water and ice , 1958 .

[9]  J. A. Morrison,et al.  The thermal properties of alkali halide crystals II. Analysis of experimental results , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[10]  J. A. Morrison,et al.  The thermal properties of alkali halide crystals. I. The heat capacity of potassium chloride, potassium bromide, potassium iodide and sodium iodide between 2.8 and 270˚K , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  M. De.  Handbuch der Physik , 1957 .

[12]  R. Bass,et al.  Die elastischen Konstanten des Eises , 1957 .

[13]  R. E. Green,et al.  Determination of the Elastic Constants of Ice Single Crystals by an Ultrasonic Pulse Method , 1956 .

[14]  K. Pitzer,et al.  The Order-Disorder Problem for Ice , 1956 .

[15]  R. W. Blue.  The Librational Heat Capacity of Ice and of Heavy Ice , 1954 .

[16]  J. W. Stout,et al.  The Entropy of Water and the Third Law of Thermodynamics. The Heat Capacity of Ice from 15 to 273°K. , 1936 .

[17]  K. B. Harvey,et al.  An infrared study of hydrogen bonding in solid H2O2 and H2OH2O2 mixtures , 1959 .