Startseite Physical contradictions and remedies using simple polythermal equations of state
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Physical contradictions and remedies using simple polythermal equations of state

  • George Helffrich EMAIL logo und J.A.D. Connolly
Veröffentlicht/Copyright: 1. April 2015
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American Mineralogist
Aus der Zeitschrift American Mineralogist Band 94 Heft 11-12

Abstract

Simple polythermal extensions to two widely used isothermal equations of state, the Murnaghan and the Birch-Murnaghan, can lead to non-physical material behavior without proper parameterization: the thermal expansivity at high pressure can become negative. We show how this arises and propose a remedy using an approximation to the thermal relaxation of the bulk modulus. Using the revised equation of state for thermodynamic equilibrium calculations leads to low-pressure and -temperature behavior indistinguishable from the unmodified equation of state, yet extrapolates to high pressure and temperature without non-physical behavior

Keywords: Thermodynamics; equation of state properties; phase equilibria; calculation; highpressure studies; expansivity measurements; negative expansivity
Received: 2009-3-31
Accepted: 2009-7-20
Published Online: 2015-4-1
Published in Print: 2009-11-1

© 2015 by Walter de Gruyter Berlin/Boston

Artikel in diesem Heft

  1. Review Paper. Microbe-clay mineral interactions
  2. Chemical substitutions, paragenetic relations, and physical conditions of formation of högbomite in the Sittampundi layered anorthosite complex, South India
  3. Miguelromeroite, the Mn analogue of sainfeldite, and redefinition of villyaellenite as an ordered intermediate in the sainfeldite-miguelromeroite series
  4. Mechanism and kinetics of a mineral transformation under hydrothermal conditions: Calaverite to metallic gold
  5. A statistical reassessment of the evidence for the racemic distribution of quartz enantiomorphs
  6. On the crystal structure and crystal chemistry of pollucite, (Cs,Na)16Al16Si32O96·nH2O: A natural microporous material of interest in nuclear technology
  7. The effect of fluid inclusion size on determination of homogenization temperature and density of liquid-rich aqueous inclusions
  8. Effect of SiO2, total FeO, Fe3+/Fe2+, and alkali elements in basaltic glasses on mid-infrared
  9. Influence of cation size on the low-temperature heat capacity of alkaline earth metasilicate glasses
  10. The high-pressure–high-temperature behavior of bassanite
  11. Geochemistry of reversible hydratable tephra from the Trans Mexican Volcanic Belt
  12. Physical contradictions and remedies using simple polythermal equations of state
  13. Thermodynamic and crystallographic properties of kornelite [Fe2(SO4)3·~7.75H2O] and paracoquimbite [Fe2(SO4)3·9H2O]
  14. Humidity-induced phase transitions of ferric sulfate minerals studied by in situ and ex situ X-ray diffraction
  15. In situ Raman spectroscopy of MgSiO3 enstatite up to 1550 K
  16. Optical spectroscopic study of tetrahedrally coordinated Co2+ in natural spinel and staurolite at different temperatures and pressures
  17. New insights into smectite illitization: A zoned K-bentonite revisited
  18. The hydrothermal conversion of kaolinite to kalsilite: Influence of time, temperature, and pH
  19. Sideronatrite, Na2Fe(SO4)2(OH)·3H2O: Crystal structure of the orthorhombic polytype and OD character analysis
  20. Anharmonic OH vibrations in brucite: Small pressure-induced redshift in the range 0–22 GPa
  21. Structural properties of biologically controlled hydrozincite: An HRTEM and NMR spectroscopic study
  22. Mechanism of wollastonite carbonation deduced from micro- to nanometer length scale observations
  23. Letter. Crystal structure of argentopyrite, AgFe2S3, and its relationship with cubanite
  24. Letter. Magnetite-free, yellow lizardite serpentinization of olivine websterite, Canyon Mountain complex, N.E. Oregon
  25. Letter. The influence of atomic size and charge of dissolved species on the diffusivity and viscosity of silicate melts
  26. Letter. Si-Al distribution in high-pressure CaAl4Si2O11 phase: A 29Si and 27Al NMR study
https://doi.org/10.2138/am.2009.3262
Schlagwörter für diesen Artikel
Thermodynamics; equation of state properties; phase equilibria; calculation; highpressure studies; expansivity measurements; negative expansivity

Artikel in diesem Heft

  1. Review Paper. Microbe-clay mineral interactions
  2. Chemical substitutions, paragenetic relations, and physical conditions of formation of högbomite in the Sittampundi layered anorthosite complex, South India
  3. Miguelromeroite, the Mn analogue of sainfeldite, and redefinition of villyaellenite as an ordered intermediate in the sainfeldite-miguelromeroite series
  4. Mechanism and kinetics of a mineral transformation under hydrothermal conditions: Calaverite to metallic gold
  5. A statistical reassessment of the evidence for the racemic distribution of quartz enantiomorphs
  6. On the crystal structure and crystal chemistry of pollucite, (Cs,Na)16Al16Si32O96·nH2O: A natural microporous material of interest in nuclear technology
  7. The effect of fluid inclusion size on determination of homogenization temperature and density of liquid-rich aqueous inclusions
  8. Effect of SiO2, total FeO, Fe3+/Fe2+, and alkali elements in basaltic glasses on mid-infrared
  9. Influence of cation size on the low-temperature heat capacity of alkaline earth metasilicate glasses
  10. The high-pressure–high-temperature behavior of bassanite
  11. Geochemistry of reversible hydratable tephra from the Trans Mexican Volcanic Belt
  12. Physical contradictions and remedies using simple polythermal equations of state
  13. Thermodynamic and crystallographic properties of kornelite [Fe2(SO4)3·~7.75H2O] and paracoquimbite [Fe2(SO4)3·9H2O]
  14. Humidity-induced phase transitions of ferric sulfate minerals studied by in situ and ex situ X-ray diffraction
  15. In situ Raman spectroscopy of MgSiO3 enstatite up to 1550 K
  16. Optical spectroscopic study of tetrahedrally coordinated Co2+ in natural spinel and staurolite at different temperatures and pressures
  17. New insights into smectite illitization: A zoned K-bentonite revisited
  18. The hydrothermal conversion of kaolinite to kalsilite: Influence of time, temperature, and pH
  19. Sideronatrite, Na2Fe(SO4)2(OH)·3H2O: Crystal structure of the orthorhombic polytype and OD character analysis
  20. Anharmonic OH vibrations in brucite: Small pressure-induced redshift in the range 0–22 GPa
  21. Structural properties of biologically controlled hydrozincite: An HRTEM and NMR spectroscopic study
  22. Mechanism of wollastonite carbonation deduced from micro- to nanometer length scale observations
  23. Letter. Crystal structure of argentopyrite, AgFe2S3, and its relationship with cubanite
  24. Letter. Magnetite-free, yellow lizardite serpentinization of olivine websterite, Canyon Mountain complex, N.E. Oregon
  25. Letter. The influence of atomic size and charge of dissolved species on the diffusivity and viscosity of silicate melts
  26. Letter. Si-Al distribution in high-pressure CaAl4Si2O11 phase: A 29Si and 27Al NMR study
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