THERMAL EXPANSION OF SOLIDS AND THE TEMPERATURE DEPENDENCE OF LATTICE VIBRATION FREQUENCIES

Alois Schauer

doi:10.1139/p64-173

THERMAL EXPANSION OF SOLIDS AND THE TEMPERATURE DEPENDENCE OF LATTICE VIBRATION FREQUENCIES

Canadian Journal of Physics ◽

10.1139/p64-173 ◽

1964 ◽

Vol 42 (10) ◽

pp. 1857-1864 ◽

Cited By ~ 25

Author(s):

Alois Schauer

Keyword(s):

Thermal Expansion ◽

Temperature Dependence ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Lattice Vibration ◽

Close Relation ◽

Vibration Frequencies ◽

Temperature Ranges ◽

Basic Equations ◽

Volume Thermal Expansion Coefficient

It is shown that a close relation exists between the temperature coefficient of lattice vibration frequencies and the thermal expansion coefficient. The basic equations[Formula: see text](νi being the frequency of the ith mode of vibration, T the temperature, Ci the Einstein function of frequency νi, γ the Grueneisen parameter, and β the volume thermal expansion coefficient) are derived and discussed for various temperature ranges.

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Temperature dependence of axial thermal expansion coefficient of multi-walled carbon nanotubes (A procedure based on measurements of coefficient of thermal expansion for aligned carbon nanotube/epoxy composites)

Transactions of the JSME (in Japanese) ◽

10.1299/transjsme.16-00228 ◽

2016 ◽

Vol 82 (844) ◽

pp. 16-00228-16-00228 ◽

Cited By ~ 1

Author(s):

Keiichi SHIRASU ◽

Akihiro NAKAMURA ◽

Go YAMAMOTO ◽

Toshio OGASAWARA ◽

Yoshinobu SHIMAMURA ◽

...

Keyword(s):

Carbon Nanotubes ◽

Thermal Expansion ◽

Carbon Nanotube ◽

Temperature Dependence ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Coefficient Of Thermal Expansion ◽

Epoxy Composites ◽

Multi Walled Carbon Nanotubes ◽

Walled Carbon Nanotubes

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Corrigendum to “A unified model for the cohesive enthalpy, critical temperature, surface tension and volume thermal expansion coefficient of liquid metals of bcc, fcc and hcp crystals” [Mater Sci Eng A 495 (2008) 19–26]

Materials Science and Engineering A ◽

10.1016/j.msea.2008.10.001 ◽

2009 ◽

Vol 501 (1-2) ◽

pp. 255 ◽

Cited By ~ 6

Author(s):

G. Kaptay

Keyword(s):

Surface Tension ◽

Thermal Expansion ◽

Critical Temperature ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Liquid Metals ◽

Unified Model ◽

Volume Thermal Expansion Coefficient ◽

Temperature Surface

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Temperature dependence of density, thermal expansion coefficient and shear viscosity of supercooled glycerol as a reflection of its structure

The Journal of Chemical Physics ◽

10.1063/1.1789474 ◽

2004 ◽

Vol 121 (13) ◽

pp. 6435-6441 ◽

Cited By ~ 51

Author(s):

Ivan V. Blazhnov ◽

Nikolay P. Malomuzh ◽

Sergey V. Lishchuk

Keyword(s):

Thermal Expansion ◽

Temperature Dependence ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Shear Viscosity

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Temperature dependence of thermal expansion coefficient of crystals with cubic syngony

Soviet Physics Journal ◽

10.1007/bf00819753 ◽

1967 ◽

Vol 10 (7) ◽

pp. 50-52 ◽

Cited By ~ 2

Author(s):

A. P. Nasekovskii

Keyword(s):

Thermal Expansion ◽

Temperature Dependence ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient

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Determining the out-of-plane thermal expansion coefficient by analyzing the temperature dependence of thin-film interference fringes

Optical Materials Express ◽

10.1364/ome.9.001430 ◽

2019 ◽

Vol 9 (3) ◽

pp. 1430

Author(s):

G. Beadie ◽

A. Rosenberg ◽

James S. Shirk

Keyword(s):

Thin Film ◽

Thermal Expansion ◽

Temperature Dependence ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Interference Fringes ◽

Out Of Plane ◽

Thin Film Interference

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Density, Excess Volume, Thermal Expansion Coefficient and Intermolecular Hydrogen Bonding of Binary Mixtures of Morpholine+ Isobutanol: A Combined Experimental and Computational Study

Journal of Molecular Liquids ◽

10.1016/j.molliq.2021.118417 ◽

2021 ◽

pp. 118417

Author(s):

Atefeh. Satei ◽

Azim. Soltanabadi

Keyword(s):

Thermal Expansion ◽

Hydrogen Bonding ◽

Thermal Expansion Coefficient ◽

Binary Mixtures ◽

Expansion Coefficient ◽

Excess Volume ◽

Computational Study ◽

Intermolecular Hydrogen Bonding ◽

Density Excess ◽

Volume Thermal Expansion Coefficient

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Evaluation and temperature dependence of axial thermal expansion coefficient of carbon nanotubes based on measurements of thermal expansion for aligned carbon nanotube composites

The Proceedings of Autumn Conference of Tohoku Branch ◽

10.1299/jsmetohoku.2016.52.116 ◽

2016 ◽

Vol 2016.52 (0) ◽

pp. 116

Author(s):

Keiichi SHIRASU ◽

Akihiro NAKAMURA ◽

Go YAMAMOTO ◽

Toshio OGASAWARA ◽

Yoshinobu SHIMAMURA ◽

...

Keyword(s):

Carbon Nanotubes ◽

Thermal Expansion ◽

Carbon Nanotube ◽

Temperature Dependence ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Nanotube Composites ◽

Carbon Nanotube Composites

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TEMPERATURE DEPENDENCE OF THE THERMAL EXPANSION COEFFICIENT, BULK MODULUS AND MAGNETIC GRUENEISEN CONSTANT OF NICKEL NEAR THE CURIE POINT

Le Journal de Physique Colloques ◽

10.1051/jphyscol:1988819 ◽

1988 ◽

Vol 49 (C8) ◽

pp. C8-65-C8-66 ◽

Cited By ~ 2

Author(s):

T. Faisst

Keyword(s):

Thermal Expansion ◽

Bulk Modulus ◽

Temperature Dependence ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Curie Point

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Determining the volume thermal expansion coefficient of TiO2 nanoparticle by molecular dynamics simulation

Computational Materials Science ◽

10.1016/j.commatsci.2012.05.018 ◽

2012 ◽

Vol 62 ◽

pp. 60-64 ◽

Cited By ~ 10

Author(s):

A. Mashreghi

Keyword(s):

Molecular Dynamics ◽

Thermal Expansion ◽

Molecular Dynamics Simulation ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Tio2 Nanoparticle ◽

Dynamics Simulation ◽

Volume Thermal Expansion Coefficient

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Temperature Dependence of the Linear Thermal Expansion Coefficient for Si and Ge

physica status solidi (b) ◽

10.1002/pssb.2221290149 ◽

1985 ◽

Vol 129 (1) ◽

pp. K5-K8 ◽

Cited By ~ 19

Author(s):

H.-Matsuo Kagaya ◽

T. Soma

Keyword(s):

Thermal Expansion ◽

Temperature Dependence ◽

Thermal Expansion Coefficient ◽

Expansion Coefficient ◽

Linear Thermal Expansion Coefficient ◽

Linear Thermal Expansion

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THERMAL EXPANSION OF SOLIDS AND THE TEMPERATURE DEPENDENCE OF LATTICE VIBRATION FREQUENCIES

Temperature dependence of axial thermal expansion coefficient of multi-walled carbon nanotubes (A procedure based on measurements of coefficient of thermal expansion for aligned carbon nanotube/epoxy composites)

Corrigendum to “A unified model for the cohesive enthalpy, critical temperature, surface tension and volume thermal expansion coefficient of liquid metals of bcc, fcc and hcp crystals” [Mater Sci Eng A 495 (2008) 19–26]

Temperature dependence of density, thermal expansion coefficient and shear viscosity of supercooled glycerol as a reflection of its structure

Temperature dependence of thermal expansion coefficient of crystals with cubic syngony

Determining the out-of-plane thermal expansion coefficient by analyzing the temperature dependence of thin-film interference fringes

Density, Excess Volume, Thermal Expansion Coefficient and Intermolecular Hydrogen Bonding of Binary Mixtures of Morpholine+ Isobutanol: A Combined Experimental and Computational Study

Evaluation and temperature dependence of axial thermal expansion coefficient of carbon nanotubes based on measurements of thermal expansion for aligned carbon nanotube composites

TEMPERATURE DEPENDENCE OF THE THERMAL EXPANSION COEFFICIENT, BULK MODULUS AND MAGNETIC GRUENEISEN CONSTANT OF NICKEL NEAR THE CURIE POINT

Determining the volume thermal expansion coefficient of TiO2 nanoparticle by molecular dynamics simulation

Temperature Dependence of the Linear Thermal Expansion Coefficient for Si and Ge

Density, Excess Volume, Thermal Expansion Coefficient and Intermolecular Hydrogen Bonding of Binary Mixtures of Morpholine+ Isobutanol: A Combined Experimental and Computational Study