Application of the Barker lattice theory to modeling of thermodynamic properties of PbO–B2O3–SiO2 melts

High‐temperature mass spectrometric study of the vaporization processes and thermodynamic properties in the Gd2O3‐Y2O3‐HfO2 system

“…Secondly, information on the phase diagram of the Gd 2 O 3 ‐Y 2 O 3 ‐HfO 2 system was not found. However, the phase diagram is necessary since the semi‐empirical methods discussed can be applied correctly only to homogeneous liquid solutions or to glasses and glass‐forming melts, as was done, for instance, by others . Thirdly, the weaker negative deviations from ideality obtained in the present study than those predicted on the basis of the data for the corresponding binary systems may be because the semi‐empirical methods applied in this study assume independence of interactions between components in a binary system on the presence and content of a third component of a ternary system and, consequently, disregard three‐component interactions.…”

Vaporization and thermodynamics of glasses and glass-forming melts in ternary oxide systems

“…As the results of modeling using GLTAS information on the relative numbers of bonds of diff erent types in these melts may be also found [1,[15][16][17]. Figure 3 (a,b,c) illustrates the relative number of Fig.…”

“…Th is approach is suggested by Barker [15] for modeling of organic mixtures and may be represented by the Guggenheim model of the strongly regular solutions in the systems where molecules diff ers on the sizes and their interaction energy depends on mutual orientation of the molecules. Peculiarities of description of this model to glass-forming melts under consideration may be found in [16,17] including the features of introduction of Bi 2 O 3 in the structure of melt as in [14]. Th e mutual agreement of thermodynamic properties of glass-forming oxide melts containing one oxide modifi er and two glass-forming oxides (as in case of the melts under consideration at the present study) was repeatedly shown as the result of comparison of such modeling and experimental data obtained by high temperature mass spectrometric method.…”

Vaporization and thermodynamics of ceramics based on the La2O3‐Y2O3‐HfO2 system studied by the high‐temperature mass spectrometric method

“…46 It was shown previously that the results of the ΔG E determination by the Kohler method in melts and glasses were in agreement with the corresponding values found experimentally. 47,48 An attempt to apply this method for the evaluation of thermodynamic properties of solid ceramic samples in the Gd 2 O 3 -Y 2 O 3 -HfO 2 system failed. 23 The Kohler method gives the means to determine the excess Gibbs energies ΔG E of a ternary system based on those in boundary binary systems according to Equation 9 46 : Average value: 9…”