scholarly journals Anharmonicity and the Thermal Expansion of Solids

1961 ◽  
Vol 14 (3) ◽  
pp. 420 ◽  
Author(s):  
GC Fletcher
Keyword(s):  
Thermal Expansion ◽  
Perturbation Theory ◽  
Sodium Chloride ◽  
Specific Heat ◽  
Series Expansion ◽  
Previous Calculation ◽  
Crystal Potential ◽  
The Poor ◽  
Poor Convergence

Using many-particle perturbation theory an attempt has been made to improve the author's previous calculation of the thermal expansion of sodium chloride and to assess the effect of including anharmonic terms in the crystal potential. The results are disappointing; agreement with experiment is poor except at low and moderate temperatures. One reason for this is the poor convergence of a method based on the series expansion of the crystal potential in terms of particle displacements, 8 point further. illustrated by calculations of specific heat and compressibility.

scholarly journals Thermal Expansion and Other Properties of Sodium Chloride

1965 ◽  
Vol 18 (3) ◽  
pp. 205 ◽  
Author(s):  
DGM Powell ◽  
GC Fletcher
Keyword(s):  
Thermal Expansion ◽  
Sodium Chloride ◽  
Melting Point ◽  
Equation Of State ◽  
Reasonable Agreement ◽  
Room Temperature ◽  
Previous Calculation ◽  
Specific Heats ◽  
Comparison With Experiment ◽  
Rigid Ion Model

A previous calculation by one of the authors of the equation of state of an anharmonic rigid-ion model of sodium chloride has been corrected. The results are valid above room temperature and reasonable agreement with experiment is obtained to within about 200 0 of the melting point. Comparison with experiment is also made for specific heats C v ' Cp and compressibilities I<T' I<s'

scholarly journals The Thermal Expansion of Solids

1959 ◽  
Vol 12 (3) ◽  
pp. 237 ◽  
Author(s):  
GC Fletcher
Keyword(s):  
Thermal Expansion ◽  
Sodium Chloride ◽  
Equation Of State ◽  
Specific Heat ◽  
High Temperatures ◽  
Isothermal Compressibility ◽  
Constant Volume ◽  
Normal Vibrations ◽  
Ionic Solid ◽  
Theory And Experiment

From the theory of normal vibrations of a lattice, a practical means of obtaining the equation of state of an ionic solid is developed from which the thermal expansion can be derived. Using previous work by Kellermann, application is made to the case of sodium chloride and the results compared with experiment. Possible reasons for the discrepancy between theory and experiment, which is very large at 'high temperatures, are discussed. The variation with temperature of the specific heat at constant volume and the isothermal compressibility are also investigated.

Investigation of the Thermodynamic Properties of Anharmonic Crystals with Defects and Influence of Anharmonicity in Exafs by the Moment Method

1998 ◽  
Vol 12 (02) ◽  
pp. 191-205 ◽  
Author(s):  
Vu Van Hung ◽  
Nguyen Thanh Hai
Keyword(s):  
Thermal Expansion ◽  
Thermodynamic Properties ◽  
Phase Change ◽  
Specific Heat ◽  
Thermal Expansion Coefficient ◽  
Expansion Coefficient ◽  
Moment Method ◽  
Adiabatic Compressibility ◽  
Relative Displacement ◽  
The Moment

By the moment method established previously on the basis of the statistical mechanics, the thermodynamic properties of a strongly anharmonic face-centered and body-centered cubic crystal with point defect are considered. The thermal expansion coefficient, the specific heat Cv and Cp, the isothermal and adiabatic compressibility, etc. are calculated. Our calculated results of the thermal expansion coefficient, the specific heat Cv and Cp… of W, Nb, Au and Ag metals at various temperatures agrees well with the measured values. The anharmonic effects in extended X-ray absorption fine structure (EXAFS) in the single-shell model are considered. We have obtained a new formula for anharmonic contribution to the mean square relative displacement. The anharmonicity is proportional to the temperature and enters the phase change of EXAFS. Our calculated results of Debye–Waller factor and phase change in EXAFS of Cu at various temperatures agrees well with the measured values.

Specific Heat and Thermal Expansion at High Temperatures of Si and Ge

1987 ◽  
Vol 142 (1) ◽  
pp. K13-K17 ◽  
Author(s):  
H. Matsuokagaya ◽  
N. Shoji ◽  
T. Soma
Keyword(s):  
Thermal Expansion ◽  
Specific Heat ◽  
High Temperatures

Thermal expansion and specific heat of intermediate valent YbCuAl

1981 ◽  
Vol 44 (1-2) ◽  
pp. 17-24 ◽  
Author(s):  
R. Pott ◽  
R. Schefzyk ◽  
D. Wohlleben ◽  
A. Junod
Keyword(s):  
Thermal Expansion ◽  
Specific Heat ◽  
Intermediate Valent

scholarly journals THERMAL EXPANSION STUDY OF A UVAROVITE RICH GARNET

2007 ◽  
Vol 21 (11) ◽  
pp. 1915-1922 ◽  
Author(s):  
G. PARTHASARTHY ◽  
R. SRINIVASAN ◽  
G. D. MUKHERJEE ◽  
C. BANSAL ◽  
ASHOK CHATTERJEE
Keyword(s):  
Thermal Expansion ◽  
Specific Heat ◽  
Thermodynamic Parameters ◽  
Semiclassical Model ◽  
Lattice Specific Heat ◽  
First Time ◽  
Thermal Expansion Study

Thermal expansion measurements have been performed on a uvarovite rich garnet sample for the first time and compared with the expansion data on grossular and pyrope-rich garnets reported in the literature. A semiclassical model has been used to analyze the data and to obtain various thermodynamic parameters. Using these parameters, the lattice specific heat and the corresponding entropy have also been calculated.

scholarly journals Analysis of the Raman Frequency Shifts for the Lattice Modes and Vibrons Related to the Thermodynamic Quantities in the η Phase of Solid Nitrogen

2013 ◽  
Vol 32 (4) ◽  
pp. 383-389 ◽  
Author(s):  
Hamit Yurtseven ◽  
Özge Akay
Keyword(s):  
Thermal Expansion ◽  
Specific Heat ◽  
Isothermal Compressibility ◽  
Raman Frequency ◽  
Thermodynamic Quantities ◽  
Frequency Shifts ◽  
Solid Nitrogen ◽  
Lattice Modes

AbstractThe 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 η 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 N2. It is shown that the thermodynamic quantities can be predicted from the Raman frequency shifts, in particular, in the η phase of solid nitrogen.

scholarly journals Specific heat, magnetic susceptibility, resistivity and thermal expansion of the superconductorZrB12

2005 ◽  
Vol 72 (2) ◽  
Author(s):  
R. Lortz ◽  
Y. Wang ◽  
S. Abe ◽  
C. Meingast ◽  
Yu. B. Paderno ◽  
...  
Keyword(s):  
Thermal Expansion ◽  
Magnetic Susceptibility ◽  
Specific Heat
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