The temperature dependence of the isothermal bulk modulus at 1bar pressure

Abstract

It is well established that the product of the volume coefficient of thermal expansion and the bulk modulus is nearly constant at temperatures higher than the Debye temperature. Using this approximation allows predicting the values of the bulk modulus. The derived analytical solution for the temperature dependence of the isothermal bulk modulus has been applied to ten substances. The good correlations to the experiments indicate that the expression may be useful for substances for which bulk modulus data are lacking.

Modeling Solute Thermokinetics in LiCI-KCI Molten Salt for Nuclear Waste Separation

“…Coefficients of thermal expansion [96,117]: Bulk modulus (B) decreases with increasing temperature (Figure 4.7), consistent with Garai and Laugier [118]. LiCl has highest B; KCl has the lowest B.…”

“…The eutectic B is between LiCl and KCl, as would be expected. The bulk modulus for these liquids is quite low (< 8 GPa) compared to solid LiCl (B ~30 GPa at room temperature) [119] and solid KCl (B ~17 GPa at room temperature) [118]. B', the change in B with pressure, was difficult to constrain with values ranging from 4-12 and uncertainties of up to about ±2.…”

Thermal dependence of the properties of cubic boron nitride crystal

“…Temperature increases volume and kinetic energy [56] which entails a decrease in density, resistance to volume change and bond strength [62] which decreases the bulk modulus [63] as shown in Figure 4 because it depends upon the density directly [64]. This behavior is noticed for silicon [65], diamond [55], and also for other solids [66][67][68][69][70].…”

Thermoelastic and structural properties of ionically conducting cerate perovskites: (II) SrCeO3 between 1273 K and 1723 K

“…Assuming a Grüneisen approximation to the zero-pressure equation of state and a Debye internal energy function, to first order the Grüneisen parameter () can be approximated by at high temperatures by Extending this analysis to the current study would clearly be inappropriate as the magnitude of the bulk modulus would be expected to be significantly lower than that measured at room temperature, and it remains debatable whether the estimation from the previous analysis is valid for temperatures much greater than 773 K. In the absence of direct measurements of the softening of the bulk modulus of SrCeO 3 at high temperature, we have calculated its temperature variation using analytical expressions derived by Garai and Laugier 43 , including the assumption that the AndersonGrüneisen constant () is given by dK 0 /dP -1 44 , which in the case of SrCeO 3 is 3 13 . In this model, the temperature dependence of the bulk modulus is given by…”