The Heat Capacities of Chromium, Chromic Oxide, Chromous Chloride and Chromic Chloride at Low Temperatures¹

Modeling of Gibbs energies of pure elements down to 0 K using segmented regression

“…Analysis of these values shows that both θ D and θ E are strongly dependent on the temperature range selected for the investigation. The calculated Debye tempature is in good agreement with values reported in [1], [7] and [17], who used larger temperature ranges for their calculations as other authors (see [10], [25], [22] and [7]). The contributions of each component of the SR model is illustrated in Fig.…”

“…Therefore, according to the review given in [12] three different types of the mathematical functions can be applied for the The main part of the heat capacity can be explained by phonon contributions (B) and the harmonic vibrational phonon contribution (C). Such effects can be described by Debye (1) or Einstein model (2) and with increase of the temperature asymptotically will reach value of 3R according to the Dulong-Petit law (see …”

Time-resolved demagnetization in by phase-sensitive second harmonic generation

“…The other two processes are related to spin-lattice interaction, i.e., demagnetization due to the temperature increase of the spin system because of thermalization with the lattice. Further, DI mag ¼ À22% after 15 ps corresponds to an increase of the spin temperature by about 9 K which agrees with the value calculated for the lattice heating by the pump pulse on the basis of the material properties for Cr 2 O 3 [13,14].…”

Thermodynamic reassessment of the Cr−O system in the framework of solid oxide fuel cell (SOFC) research

“…Applying the same technique as Pehlke et al, [17] Holzheid and O'Neill [21] noted a deviation from the well-established trend at 900 to 1300 K for high-temperature data caused by finite electronic conductivity at elevated temperatures, causing transfer of oxygen through the cell, as well as the importance of sufficient time to attain equilibrium, that is, days for T < 1100 K. The obtained dissociation pressures of Cr 2 O 3 are in agreement with average values derived from emf studies using an yttria-doped thoria electrolyte worked out by Jacob [22] and a very high-temperature gas-mixing study of Toker et al [13] 2.2.2 Heat Capacities, Heat Contents, and Entropies. Anderson's [23] calorimetric data set of C p -values lacks detailed documentation of the experimental procedure. Bruce and Cannell [24] applied a two-dimensional temperature wave method using a single crystal of Cr 2 O 3 to calculate specific heat in the temperature range 290.68 Յ T Յ 323.43 K, and fitted the data to the heat of diffusion equation employing a least-mean-squares fit to the heat of diffusion equation that considers some material properties.…”

“…For S°2 98 Cr 2 O 3 ) Chase et al [26] relied on the results from Anderson, [23] who calculated S°2 98 (Cr 2 O 3 ) ‫ס‬ 81.17 ± 0.84 J/K и mol by a graphical method of plotting the heat capacity against the logarithm of the temperature and modeling the heat capacity curves with Debye functions. This procedure was critically documented by other authors, for example, Klemme et al [25] Klemme et al [25] recommend S°2 98 (Cr 2 O 3 ) ‫ס‬ 83.1 J/K · mol by reevaluating emf data from Holzheid and O'Neill, [21] who calculated S°2 98 (Cr 2 O 3 ) ‫ס‬ 85.74 ± 1.3 J/K · mol from their measurements.…”