Calculation of the T-X Phase Diagrams for Binary Mixtures of Cholestanyl Myristate-Cholesteryl Myristate and Cholestanyl Myristate-Cholesteryl Oleate

Date

2009-01-01

Author

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

186
views

0
downloads

T-X phase diagrams of binary mixtures of cholestanyl myristate (CnM)-cholesteryl myristate (CrM) and cholestanyl myristate (CnM)-cholesteryl oleate (CO) are calculated using the mean field theory. We expand the free energies for the phases of cholesteric, smectic, and solid solutions in terms of the order parameters for these binary mixtures (X is the concentration of CrM for CnM-CrM and the concentration of CnM for CnM-CO). From this expansion, we obtain the phase line equations for the transitions among the isotropic liquid, cholesteric, smectic, and solid solutions for both binary mixtures. Taking into account the temperature and concentration dependences of the coefficients in the free energy expansion, we fit our phase line equations to the experimentally measured T-X phase diagrams for these two binary mixtures. Our calculated phase lines coincide with the measured T-X phase diagrams, and the critical behavior of the thermodynamic quantities, including the order parameter, the specific heat, and the susceptibility, can be predicted from the mean field expansions.

Subject Keywords

General Biochemistry, Genetics and Molecular Biology, History and Philosophy of Science

URI

https://hdl.handle.net/11511/48729

Journal

INTERDISCIPLINARY TRANSPORT PHENOMENA: FLUID, THERMAL, BIOLOGICAL, MATERIALS, AND SPACE SCIENCES

DOI

https://doi.org/10.1111/j.1749-6632.2008.04326.x

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Prediction of hexagonal lattice parameters of various apatites by artificial neural networks Kockan, Umit; Evis, Zafer (International Union of Crystallography (IUCr), 2010-08-01) In this study, the hexagonal lattice parameters of apatite compounds, M-10(TO4)(6)X-2, where M is Na+, Ca2+, Ba2+, Cd2+, Pb2+, Sr2+, Mn2+, Zn2+, Eu2+, Nd3+, La3+ or Y3+, T is As+5, Cr+5, P5+, V5+ or Si+4, and X is F-, Cl-, OH- or Br-, were predicted from their ionic radii by artificial neural networks. A multilayer perceptron network was used for training and the best results were obtained with a Bayesian regularization method. Four neurons were used in the hidden layer, utilizing a tangent sigmoid activati...
Calculation of the soft mode frequency for the alpha beta transition in quartz Yurtseven, Hasan Hamit (null; 2015-09-18) The Raman frequencies of the lattice modes (147 cm-1 and 207 cm-1 are analyzed for the α-β 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. The damping constant of the lattice modes studied here is calculated using the Raman frequencies at various temperatures for the α-β transition in quartz (Tc =...
CALCULATION OF THE PHASE DIAGRAMS FOR THE FLUID-SOLID AND SOLID-SOLID (delta-delta(loc)-epsilon) TRANSITIONS IN MOLECULAR NITROGEN BY USING MEAN FIELD MODEL Yurtseven, Hasan Hamit (Romanian Academy - Revue Roumaine De Chimie, 2019-03-01) The temperature-pressure (T-P) phase diagrams are calculated using the mean field models for the solid-fluid (first order) and, the solid-solid transitions of the delta-delta(loc) (second order) and delta(loc)-epsilon (first order) in nitrogen. By expanding the free energy in terms of the order parameters, the phase line equations are derived and they are fitted to the experimental data from the literature for this molecular crystal. For the fitting procedure, the coefficients in the free energy expansion a...
Comparison of two inference approaches in Gaussian graphical models Purutçuoğlu Gazi, Vilda; Wit, Ernst (Walter de Gruyter GmbH, 2017-04-01) Introduction: The Gaussian Graphical Model (GGM) is one of the well-known probabilistic models which is based on the conditional independency of nodes in the biological system. Here, we compare the estimates of the GGM parameters by the graphical lasso (glasso) method and the threshold gradient descent (TGD) algorithm.
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.

Citation Formats

H. H. Yurtseven, “Calculation of the T-X Phase Diagrams for Binary Mixtures of Cholestanyl Myristate-Cholesteryl Myristate and Cholestanyl Myristate-Cholesteryl Oleate,” INTERDISCIPLINARY TRANSPORT PHENOMENA: FLUID, THERMAL, BIOLOGICAL, MATERIALS, AND SPACE SCIENCES, pp. 416–428, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48729.