Molar heat capacity and thermodynamic functions for

The thermodynamics of formation, molar heat capacity, and thermodynamic functions ofZrTiO4(cr)

“…where D(θ D /T ) and E(θ E /T ) are Debye and Einstein functions, respectively, and the T and T 2 terms represent an approximation to C p,m − C V,m , has been found to fit the heat capacity of CaZrTi 2 O 7 from T = 20 K to T = 400 K. (5,23) Equation (1) can represent the lattice heat capacity over a wide temperature interval with a small number of adjustable parameters, and it does not show the oscillations that may be associated with higher order polynomial fits. More importantly, this function can be extrapolated beyond the experimental temperatures used to obtain it.…”

Molar heat capacities and thermodynamic functions of CaHf Ti2O7( cr ) and CaZr0.26Hf0.74Ti2O7( cr)

“…The experimental molar heat capacities, corrected for the heat capacities of the empty calorimeter, gold gasket, helium exchange gas, and the CaTiO 3 impurity are listed in chronological order in figure 1, and the heat capacities below T = 50 K are shown on an expanded scale in inset (a) of figure 1. Corrections for curvature were made by conventional procedures, and the heat capacity contribution of the CaTiO 3 impurity was taken from Woodfield et al (8) The contribution of both samples to the total heat capacity ranged from approximately 10 per cent at the lowest temperature to 25 per cent at the highest temperature.…”

“…Based on a six-parameter fitting equation, (4,(7)(8)(9) the heat capacities and thermodynamic functions have been extrapolated to T = 1500 K. The formation energetics will be reported separately. (10) The results show that the predicted entropy at T = 298.15 K for the solid solution is higher than the measured value by 0.9 per cent, and the zero-point entropy of the mixture makes a substantial stabilization contribution, implying the zero-point entropy for other mixtures in the plutonium disposition program could also have large stabilizing effects.…”

The heat capacity of single-crystal AuZn near the martensitic transition

“…Although a 10 per cent deviation is large, the fit, as can be seen in inset (b) of figure 4, represents the data well considering the sample contributes only 3-5 per cent to the total measured heat capacity. In order to estimate the lattice heat capacity at higher temperatures, the data from T = 15 K to T = 100 K, excluding the transition region, was fit to a Debye-Einstein function given in equation (2) (14,15) …”