Volume-based thermoelasticity: Thermal expansion coefficients and the Gruneisen ratio
In an extension of our current studies of volume-based thermodynamics and thermoelasticity (VBT), we here consider the parameters at ambient temperature of the dimensionless Gruneisen ratio (or Gruneisen parameter), γth, which is a standard descriptor of the thermophysical properties of solids: γth=...
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| Format: | Journal Article |
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Pergamon
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/47212 |
| _version_ | 1848757772432179200 |
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| author | Glasser, Leslie |
| author_facet | Glasser, Leslie |
| author_sort | Glasser, Leslie |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In an extension of our current studies of volume-based thermodynamics and thermoelasticity (VBT), we here consider the parameters at ambient temperature of the dimensionless Gruneisen ratio (or Gruneisen parameter), γth, which is a standard descriptor of the thermophysical properties of solids: γth=αKTVm/Cv=αVm/ βCv. It has earlier been established that the isothermal volume compressibility, β (which is the reciprocal of the bulk modulus, KT), and the ambient-temperature heat capacity, Cp, are strongly linearly correlated with the molar volume, Vm, among groups of materials with similar structures. Here, we examine possible correlations between the volumetric thermal expansion coefficient, α (the remaining Gruneisen parameter), and molar volume. Using the high-temperature limiting value, α°, as a surrogate for α, we find that α is essentially uncorrelated with volume among a range of materials. As a consequence of the lack of correlation through volume of α with the other Gruneisen parameters, we conclude that the dimensionless Gruneisen ratio at ambient temperatures itself is thereby poorly constant across materials and cannot be reliably used for predictive purposes. It is noted that, for thermodynamic reasons, the values of γth generally range from about 0.5 to 3, clustering around 2. |
| first_indexed | 2025-11-14T09:33:24Z |
| format | Journal Article |
| id | curtin-20.500.11937-47212 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:33:24Z |
| publishDate | 2012 |
| publisher | Pergamon |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-472122019-02-19T05:35:12Z Volume-based thermoelasticity: Thermal expansion coefficients and the Gruneisen ratio Glasser, Leslie Inorganic compounds Thermal expansion Thermodynamic properties In an extension of our current studies of volume-based thermodynamics and thermoelasticity (VBT), we here consider the parameters at ambient temperature of the dimensionless Gruneisen ratio (or Gruneisen parameter), γth, which is a standard descriptor of the thermophysical properties of solids: γth=αKTVm/Cv=αVm/ βCv. It has earlier been established that the isothermal volume compressibility, β (which is the reciprocal of the bulk modulus, KT), and the ambient-temperature heat capacity, Cp, are strongly linearly correlated with the molar volume, Vm, among groups of materials with similar structures. Here, we examine possible correlations between the volumetric thermal expansion coefficient, α (the remaining Gruneisen parameter), and molar volume. Using the high-temperature limiting value, α°, as a surrogate for α, we find that α is essentially uncorrelated with volume among a range of materials. As a consequence of the lack of correlation through volume of α with the other Gruneisen parameters, we conclude that the dimensionless Gruneisen ratio at ambient temperatures itself is thereby poorly constant across materials and cannot be reliably used for predictive purposes. It is noted that, for thermodynamic reasons, the values of γth generally range from about 0.5 to 3, clustering around 2. 2012 Journal Article http://hdl.handle.net/20.500.11937/47212 10.1016/j.jpcs.2011.10.008 Pergamon fulltext |
| spellingShingle | Inorganic compounds Thermal expansion Thermodynamic properties Glasser, Leslie Volume-based thermoelasticity: Thermal expansion coefficients and the Gruneisen ratio |
| title | Volume-based thermoelasticity: Thermal expansion coefficients and the Gruneisen ratio |
| title_full | Volume-based thermoelasticity: Thermal expansion coefficients and the Gruneisen ratio |
| title_fullStr | Volume-based thermoelasticity: Thermal expansion coefficients and the Gruneisen ratio |
| title_full_unstemmed | Volume-based thermoelasticity: Thermal expansion coefficients and the Gruneisen ratio |
| title_short | Volume-based thermoelasticity: Thermal expansion coefficients and the Gruneisen ratio |
| title_sort | volume-based thermoelasticity: thermal expansion coefficients and the gruneisen ratio |
| topic | Inorganic compounds Thermal expansion Thermodynamic properties |
| url | http://hdl.handle.net/20.500.11937/47212 |