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Pippard Relation Close to the Alpha - Beta Transition for Quartz in Granite
Date
2015-08-27
Author
Yurtseven, Hasan Hamit
Gumus, Aysegul
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In this study, we examine variation of the thermal expansion alpha(p) with the isothermal compressibility k(T) at various temperatures (1 atm) close to the alpha-beta transition in quartz using the experimental data from the literature. We obtain the pressure dependence of the thermal expansion for dry granite quartz at room temperature. Variation of alpha(p) with the kappa(T) is also studied as a function of temperature for constant pressures of 0.1, 100, 200 and 300 MPa close to the alpha-beta transition of dry granite quartz. Our results show that volumetric expansion increases as functions of temperature (1 atm) and pressure (room temperature), as observed experimentally for dry granite quartz.
Subject Keywords
Phase-Transition
,
Elastic Properties
,
High-Pressure
,
Fused Quartz
,
Temperature
URI
https://hdl.handle.net/11511/48749
DOI
https://doi.org/10.1063/1.4944175
Collections
Department of Physics, Conference / Seminar
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We relate in this study the thermal expansivity, alpha(p), to the Raman frequency shift (1/V)(delta V/delta P)(T) for the rotatory lattice (librational) mode in ammonia solid II near its melting point. We have used our calculated Raman frequencies of this mode for pressures of 3.65, 5.02 and 6.57 kbars for this crystalline system. The values of the slope, dP(m)/dT, which we deduced from our spectroscopic relation, are compared with those obtained experimentally. In particular, our computed slope value for t...
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Yurtseven, Hasan Hamit (Periodica Polytechnica Budapest University of Technology and Economics, 2009-01-01)
A linear correlation between the specific heat C(P) and the thermal expansion alpha(p) is established here for constant temperatures close to the melting pressure in ammonia solid III. For this correlation, the experimental data for the isothermal compressibility kappa(T) is analysed according to a power-law formula with the critical exponent gamma and, the C(P) and alpha(p) are calculated as a function of pressure near the melting point in ammonia solid III.
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Yurtseven, Hasan Hamit; Salihoglu, S.; Sen, S. (2008-05-01)
In this study we obtain a T-P phase diagram of ice using the mean-field theory. We fit our calculated phase line equations to the experimental T-P phase diagram. By choosing appropriately the coefficients in the free-energy expansions, our calculated phase diagram agrees well with the experimentally observed phase diagram of ice. Some thermodynamic functions are calculated using the free energy for the transitions studied here.
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H. H. Yurtseven and A. Gumus, “Pippard Relation Close to the Alpha - Beta Transition for Quartz in Granite,” 2015, vol. 1722, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48749.