Pippard Relation Close to the Alpha - Beta Transition for Quartz in Granite

Yurtseven, Hasan Hamit
Gumus, Aysegul
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.


Modified Pippard relationship describing the Raman frequency shifts of the rotatory lattice mode of ammonia solid II in the vicinity of its melting point
Karacali, H; Yurtseven, Hasan Hamit (Springer Science and Business Media LLC, 2005-11-01)
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...
Pippard relations for the solid phase of carbon tetrachloride close to the melting point
Kavruk, D. Kaya; Yurtseven, Hasan Hamit (Walter de Gruyter GmbH, 2007-01-01)
We study here the Pippard relations as linear relations between the specific heat C-p and the thermal expansivity alpha(p), also between alpha(p) and the isothermal compressibility kappa(T) for the solid phase of carbon tetrachloride close to the melting point.
Calculation of thermodynamic quantities for carbon tetrachloride (CCl4) close to the III-IV phase transition
Yurtseven, Hasan Hamit (2011-01-01)
We calculate the thermal expansion alpha(p), isothermal compressibility K-T and the specific heat, C-p-C-v as a function of pressure using the observed V-P data at room temperature close to the phase transition in CCl4. Calculated K-T, alpha(p) and C-p-C-v decrease as the pressure increases from phase III to phase IV in this molecular crystal system, as expected. On the basis of our calculations of the K-T, alpha(p) and C-p-C-v, the Pippard relations are established close to the III-IV phase transition in C...
Critical behaviour of the specific heat and the thermal expansion close to the melting point in ammonia solid III
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.
T-P phase diagram for ice
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.
Citation Formats
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.