Landau mean-field model with the cubic term for the alpha-beta transition in quartz

Date

2020-06-01

Author

Ates, S.
Yurtseven, Hasan Hamit

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

181
views

0
downloads

Thermodynamic quantities are calculated as a function of temperature by using Landau mean-field model for the alpha-beta transition in quartz. By expanding the Gibbs free energy in terms of the order parameter (Q) with the cubic term (Q(3)), the temperature dependence of the relevant thermodynamic quantities are predicted using the heat capacity (C-P), which is fitted to the experimental data from the literature for the alpha-beta transition in quartz. Our results indicate that the Landau mean-field model is adequate to describe the first-order alpha-beta transition in quartz.

Subject Keywords

General Materials Science, Mechanics of Materials

URI

https://hdl.handle.net/11511/49172

Journal

BULLETIN OF MATERIALS SCIENCE

DOI

https://doi.org/10.1007/s12034-020-02127-1

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

The mean field model with P-2 theta(2) coupling for the smectic A-smectic C* phase transition in liquid crystals Salihoglu, S; Yurtseven, Hasan Hamit; Giz, A; Kayisoglu, D; Konu, A (Informa UK Limited, 1998-01-01) Using mean field theory with a P(2)theta (2) coupling term in the free energy expansion, we calculate the polarization as a function of temperature for the smectic A-smectic C* phase transition in a liquid crystalline material. Our calculated polarization values are in good agreement with the experimental data.
Landau theory of the nematic-smectic a tricritical phase transition in a binary mixture of liquid crystals Yurtseven, Hasan Hamit (Informa UK Limited, 1995-01-01) We have developed in this study a thermodynamic model for the nematic-smectic A (NA) tricritical phase transition of a binary mixture of liquid crystals in analogy with the model for quasi fluid mixtures due to Griffiths. Using the Landau theory with a symmetrical TCP, we have predicted the critical behaviours of the nematic susceptibility, order parameter and the specific heat discontinuity in the vicinity of the TCP.
Calculation of the Raman Linewidths of Lattice Modes Close to the alpha-beta Transition in Quartz Lider, Mustafa Cem; Yurtseven, Hasan Hamit (Walter de Gruyter GmbH, 2012-12-01) 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.
Analysis of the Raman Frequency Shifts for the Lattice Modes and Vibrons Related to the Thermodynamic Quantities in the eta Phase of Solid Nitrogen Yurtseven, Hasan Hamit (Walter de Gruyter GmbH, 2013-08-01) The thermodynamic quantities of the isothermal compressibility, thermal expansion and the specific heat are calculated here as a function of pressure by using the observed Raman frequencies of the lattice modes and vibrons in the. phase of solid nitrogen. The Pippard relations and their spectroscopic modifications are constructed, and the slope dP/dT is deduced from the Raman frequency shifts in this phase of N-2. It is shown that the thermodynamic quantities can be predicted from the Raman frequency shifts...
ELECTRICAL-CONDUCTIVITY AND SEEBECK COEFFICIENT OF (LA, CA) (CR, CO)O3 KOC, R; ANDERSON, HU (Springer Science and Business Media LLC, 1992-10-15) Electrical conductivity and Seebeck coefficients of (La, Ca) (Cr, Co) O3 were measured as a function of temperature. The electrical conductivity as measured in air from 100 to 1100-degrees-C increased with increasing Co and Ca content. The Seebeck coefficients were positive, indicating p-type conductivity. The substitution of Co for Cr significantly decreased the Seebeck coefficients, indicating that the substitution resulted in an increase in site occupancy, associated with the Co. The additional Ca substi...

Citation Formats

S. Ates and H. H. Yurtseven, “Landau mean-field model with the cubic term for the alpha-beta transition in quartz,” BULLETIN OF MATERIALS SCIENCE, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49172.