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Pippard relation modified for the rotatory lattice mode in ammonia solid II
Date
2005-01-01
Author
Yurtseven, Hasan Hamit
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In this study we obtain a linear variation of the specific heat Cp with the Raman frequency shifts 1/v (partial derivative v/partial derivative T)p for the rotatory lattice (librational) mode in the ammonia solid II near the melting point. From this linearity, we deduce values of the slope dP(m)/dT for the pressures of 3.65, 5.02 and 6.57 kbars in the ammonia solid II. Our calculated value of dP(m)/dT for the pressure of 3.65 kbar, is in good agreement with the experimentally measured value in the P-T phase diagram of this crystalline system. This indicates that the first Pippard relation modified for the rotatory lattice mode in the ammonia solid II, is satisfactory near the melting point.
Subject Keywords
Physical and Theoretical Chemistry
,
General Materials Science
,
Mechanics of Materials
,
Condensed Matter Physics
URI
https://hdl.handle.net/11511/37534
Journal
HIGH TEMPERATURE MATERIALS AND PROCESSES
DOI
https://doi.org/10.1515/htmp.2005.24.5.315
Collections
Department of Physics, Article
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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.
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Critical Behaviour of the Heat Capacity Near the alpha-beta Phase Transition in Quartz
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The Raman frequencies of the lattice modes (147 cm(-1) and 207 cm(-1)) are analyzed for the alpha-beta transition in quartz according to a power-law formula with the critical exponent by using the experimental data. The temperature dependence of the Raman frequency is associated with the order parameter (polarization P) for this transition in the quartz crystal.
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This study gives the Raman frequencies calculated as functions of temperature and pressure for the lattice modes in the solid beta phase and close to the melting line (beta-fluid transition). The experimental volume data from the literature is used to calculate the Raman frequencies for the molecular nitrogen system. Some observed Raman frequencies are also used as the initial data to perform our calculations given here.
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H. H. Yurtseven, “Pippard relation modified for the rotatory lattice mode in ammonia solid II,”
HIGH TEMPERATURE MATERIALS AND PROCESSES
, pp. 315–322, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37534.