VOLUME DEPENDENCE OF GRUNEISEN PARAMETER FOR SOLIDS

2008 ◽  
Vol 22 (31) ◽  
pp. 3113-3123 ◽  
Author(s):  
S. K. SHARMA
Keyword(s):  
Experimental Data ◽  
Temperature Dependence ◽  
Empirical Relationship ◽  
Grüneisen Parameter ◽  
Thermal Pressure ◽  
Gruneisen Parameter ◽  
Modified Model ◽  
Volume Dependence ◽  
Good Agreement

The present paper proposes a new empirical relationship to predict the values of volume dependence of the Gruneisen parameter. ε- Fe , NaCl , Li , Na and K in different pressure ranges have been employed to test the reliability of the model. The obtained results indicate that the model is reliable due to a good agreement between calculated results and the experimental data. Based on this modified model, the temperature dependence of thermal pressure for NaCl is also examined.

Temperature dependence of elastic constants using thermal energy for geophysical minerals

2017 ◽  
Vol 31 (13) ◽  
pp. 1750103
Author(s):  
M. Panwar ◽  
S. K. Sharma ◽  
S. Panwar
Keyword(s):  
Experimental Data ◽  
Bulk Modulus ◽  
Temperature Dependence ◽  
Elastic Constants ◽  
Thermal Energy ◽  
Alternative Formulation ◽  
Thermal Pressure ◽  
Limit Formula ◽  
Volume Dependence ◽  
Good Agreement

In this paper, we have developed relationship to predict temperature dependence of elastic constants for geophysical minerals by using a formulation for volume dependence of isothermal Anderson–Grünesien parameter which is valid up to extreme compression limit [Formula: see text] or [Formula: see text]. An alternative formulation based on thermal pressure or thermal energy has also been used for determining elastic constants as a function of temperature. The basic idea used in this study is to generalize the expression of bulk modulus for determining temperature dependence of elastic constants. The results thus obtained for MgO, CaO, Mg2SiO4 and Al2O3 from the two different methods are very close to each other and also experimental data. The good agreement reveals the validity of the formulations given in this study.

Pressure dependence of the Grüneisen parameter and melting temperature of some metals

2021 ◽  
pp. 2150255
Author(s):  
K. Sunil ◽  
D. Ashwini ◽  
Vijay S. Sharma
Keyword(s):  
Experimental Data ◽  
Molecular Dynamics ◽  
Equation Of State ◽  
Pressure Dependence ◽  
High Pressures ◽  
Grüneisen Parameter ◽  
Thermal Equation ◽  
Gruneisen Parameter ◽  
Melting Temperatures ◽  
Volume Dependence

We have used a method for determining volume dependence of the Grüneisen parameter in the Lindemann law to study the pressure dependence of melting temperatures in case of 10 metals viz. Cu, Mg, Pb, Al, In, Cd, Zn, Au, Ag and Mn. The reciprocal gamma relationship has been used to estimate the values of Grüneisen parameters at different volumes. The results for melting temperatures of metals at high pressures obtained in this study using the Lindemann law of melting are compared with the available experimental data and also with the values calculated from the instability model based on a thermal equation of state. The analytical model used in this study is much simpler than the accurate DFT calculations and molecular dynamics.

Theoretical Determination of Pressure-Volume-Temperature Relationship of Some Alkali Halides

2008 ◽  
Vol 272 ◽  
pp. 107-116
Author(s):  
Quan Liu
Keyword(s):  
Alkali Halides ◽  
Temperature Relationship ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Volume Dependence ◽  
Compression Data ◽  
Experimental Values ◽  
Relationship Of ◽  
Good Agreement

The Chopelas-Boehler approximation for the volume dependence of the Anderson-Gruneisen parameter along isotherms and the new approximation for the volume dependence of the Anderson-Gruneisen parameter along isobars have been used to study the pressure-volume-temperature relationship for LiF, NaF and CsCl crystals up to a pressure of 90kbar and in the temperature range 298-1073K. The calculated values of compression data and experimental values are found to be in good agreement.

Analysis of melting curves of MgO and LiF using the Lindemann law

2018 ◽  
Vol 32 (30) ◽  
pp. 1850339 ◽  
Author(s):  
K. Sunil ◽  
S. B. Sharma ◽  
B. S. Sharma
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Finite Difference ◽  
Bulk Modulus ◽  
Melting Temperature ◽  
Pressure Dependence ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Melting Temperatures ◽  
Volume Dependence

We have determined the melting slopes as a function of pressure for MgO up to a pressure of 135 GPa, and for LiF up to a pressure of 100 GPa using the Lindemann law. Values of melting temperature have also been calculated from the melting slopes using Euler’s finite difference calculus method. It is found that the melting slope decreases continuously with the increase in pressure giving a nonlinear pressure dependence of the melting temperature. Values of bulk modulus and the Grüneisen parameter appearing in the Lindemann law of melting have been determined using the Stacey reciprocal K-primed equation of state and the Shanker reciprocal gamma relationship. The results for melting temperatures of MgO and LiF at different pressures are compared with the available experimental data. Values of melting temperatures at different pressures determined from the Al’tshuler relationship for the volume dependence of the Grüneisen parameter have also been included in the comparison presented.

scholarly journals Using optoacoustic imaging for measuring the temperature dependence of Grüneisen parameter in optically absorbing solutions

2013 ◽  
Vol 21 (21) ◽  
pp. 25077 ◽  
Author(s):  
Elena Petrova ◽  
Sergey Ermilov ◽  
Richard Su ◽  
Vyacheslav Nadvoretskiy ◽  
André Conjusteau ◽  
...  
Keyword(s):  
Temperature Dependence ◽  
Grüneisen Parameter ◽  
Optoacoustic Imaging ◽  
Gruneisen Parameter

scholarly journals Raman wavenumbers calculated as a function of pressure from the mode Grüneisen parameter of PZT (x=0.48) ceramic close to the monoclinic-cubic transition

2019 ◽  
Vol 09 (05) ◽  
pp. 1950039
Author(s):  
A. Kiraci
Keyword(s):  
Pressure Dependence ◽  
Thermodynamic Quantities ◽  
Grüneisen Parameter ◽  
Volume Data ◽  
Expansion Formula ◽  
Gruneisen Parameter ◽  
Raman Modes ◽  
Isothermal Mode ◽  
Perovskite Type ◽  
Good Agreement

The isothermal mode Grüneisen parameter [Formula: see text] of some Raman modes in [Formula: see text]TixO3 (PZT, [Formula: see text]) were calculated as a function of pressure by means of the observed pressure-dependent volume data of PZT ([Formula: see text]) crystal from the literature at room temperature of 298[Formula: see text]K. Those calculated values of [Formula: see text] were then used to compute the pressure dependence of the Raman modes in PZT ([Formula: see text]) ceramic studied here. The observed and calculated values of the Raman wavenumbers in PZT were in good agreement, which indicates that the isothermal mode Grüneisen parameter can also be used to predict the pressure-dependent wavenumbers of some other perovskite-type crystals. Additionally, the pressure dependence of the thermodynamic quantities such as isothermal compressibility [Formula: see text], thermal expansion [Formula: see text] and the specific heat [Formula: see text] of PZT ([Formula: see text]) ceramic were predicted at constant temperature of 298[Formula: see text]K. Here, the experimentally measurable thermodynamic quantities calculated for PZT ([Formula: see text]) ceramics provide theoretically a significant opportunity for testing.

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