Correlation between thermal expansion and heat capacity

Garai, József

doi:10.1016/j.calphad.2005.12.003

Cited by 27 publications

(10 citation statements)

References 6 publications

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“…where L and T represent the length and temperature of the crystal, respectively. Other factors, such as heat capacity at constant pressure [2,48], Debye temperature [2,49], Grüneisen parameter [2] and anharmonic terms of lattice vibrations [50][51][52], are also correlated to thermal expansion. Thus, the thermal expansion of a crystal lattice provides a set of fundamental properties of a given system.…”

Section: Significance and Relation Between Bulk And Lattice Expansionmentioning

confidence: 99%

Thermal and Chemical Expansion in Proton Ceramic Electrolytes and Compatible Electrodes

2018

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This review paper focuses on the phenomenon of thermochemical expansion of two specific categories of conducting ceramics: Proton Conducting Ceramics (PCC) and Mixed Ionic-Electronic Conductors (MIEC). The theory of thermal expansion of ceramics is underlined from microscopic to macroscopic points of view while the chemical expansion is explained based on crystallography and defect chemistry. Modelling methods are used to predict the thermochemical expansion of PCCs and MIECs with two examples: hydration of barium zirconate (BaZr1−xYxO3−δ) and oxidation/reduction of La1−xSrxCo0.2Fe0.8O3−δ. While it is unusual for a review paper, we conducted experiments to evaluate the influence of the heating rate in determining expansion coefficients experimentally. This was motivated by the discrepancy of some values in literature. The conclusions are that the heating rate has little to no effect on the obtained values. Models for the expansion coefficients of a composite material are presented and include the effect of porosity. A set of data comprising thermal and chemical expansion coefficients has been gathered from the literature and presented here divided into two groups: protonic electrolytes and mixed ionic-electronic conductors. Finally, the methods of mitigation of the thermal mismatch problem are discussed.

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Section: Significance and Relation Between Bulk And Lattice Expansionmentioning

confidence: 99%

Thermal and Chemical Expansion in Proton Ceramic Electrolytes and Compatible Electrodes

2018

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“…(20) is similar to the model of [14], but it takes also into account the heat capacity of liquid metals. Heat capacity was recently used to scale volume expansion coefficient of solid metals by Garai [34]. Eq.…”

Section: Volumetric Thermal Expansion Coefficients Of Liquid Metalsmentioning

confidence: 99%

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

Kaptay

2008

Materials Science and Engineering: A

111

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“…Zener 48 defines a proportionality between the thermoelastic damping term and the specific heat in the following way: Q À1 ðTÞ / α 2 ðTÞT c v ðTÞ , where α and c v are the thermal expansion coefficient and the specific heat of the material, respectively. Taking α ∝ c v 49 , we get a direct relationship between the damping and the specific heat…”

Section: Resultsmentioning

confidence: 99%

Ultrathin complex oxide nanomechanical resonators

et al. 2020

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Complex oxide thin films and heterostructures exhibit a variety of electronic phases, often controlled by the mechanical coupling between film and substrate. Recently it has become possible to isolate epitaxially grown single-crystalline layers of these materials, enabling the study of their properties in the absence of interface effects. In this work, we use this technique to create nanomechanical resonators made out of SrTiO3 and SrRuO3. Using laser interferometry, we successfully actuate and measure the motion of the nanodrum resonators. By measuring the temperature-dependent mechanical response of the SrTiO3 resonators, we observe signatures of a structural phase transition, which affects both the strain and mechanical dissipation in the resonators. Here, we demonstrate the feasibility of integrating ultrathin complex oxide membranes for realizing nanoelectromechanical systems on arbitrary substrates and present a novel method of detecting structural phase transitions in these exotic materials.

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Correlation between thermal expansion and heat capacity

Cited by 27 publications

References 6 publications

Thermal and Chemical Expansion in Proton Ceramic Electrolytes and Compatible Electrodes

Thermal and Chemical Expansion in Proton Ceramic Electrolytes and Compatible Electrodes

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

Ultrathin complex oxide nanomechanical resonators

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