Investigations of Thermal Properties of Earth Mantle Silicates: ASiO₃ (A = Mg, Ca)

Bulk modulus and thermal properties of RVO3 (R=La, Ce, Pr, Nd)

“…The symbols involved are the same as those defined in our earlier papers [16][17][18]. Here r kk appearing in the first term on the right represents the separation between the nearest neighbors while r kk and r k k appearing in the next two terms are the second neighbor separations.…”

“…Other cohesive energy values for CeVO 3 , PrVO 3 and NdVO 3 could not be compared due to lack of experimental data but the magnitude are found to be in the range often found in perovskite structure materials. To test the validity of our model the lattice energies for these compounds were calculated using the generalized Kapustinskii equation [25] on the lines of our earlier papers [16][17][18].…”

“…The expressions for calculating the thermodynamic properties like Debye temperature and Gruneisen parameter are taken from our earlier papers [16][17][18].…”

“…Earlier, we have used the MRIM successfully to study the thermal properties of some perovskite manganites and other inorganic compounds over a fairly wide range of temperatures [16][17][18] which motivated us to describe the bulk modulus, cohesive and thermal properties of the RVO 3 (R = La, Ce, Pr, Nd) compounds. The study of the lattice thermal properties of these compounds may be taken as starting point for the consistent understanding of the more complex physical properties of the perovskite type rare earth orthovanadates.…”

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“…It is worth noticing that l-DC80 presented a lower m value than that of l-DC70 but since the m values are highly dependent on the number of the tested specimens, a larger number would give a more accurate value. [209] and Parveen et al [210], which calculated the bonding energies of hydroxyapatite and wollastonite respectively indicating that the bonding energy for hydroxyapatite (32.000 kJ/mol) was double than the respective for wollastonite (17480 kJ/mol). However, the lack of SiO ସ ସି ions results in the formation of Ca-P phases.…”