High-pressure–high-temperature equation of state of KCl and KBr

Dewaele, Agnès; Belonoshko, Anatoly B.; Garbarino, Gastón; Occelli, F.; Bouvier, Pierre; Hanfland, Michael; Mézouar, M.

doi:10.1103/physrevb.85.214105

Cited by 133 publications

(142 citation statements)

References 35 publications

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“…This apparatus has been successfully used in previous HP-HT AD-XRD DAC experiments at different synchrotron facilities [27,28]. The sample pressure was determined from the XRD patterns of Au and KCl according to the EOSs of Dorogokupets and Dewaele [29] and Dewaele et al [30], respectively. The pressure difference between both pressure standards was always smaller than 1 GPa.…”

Section: Methodsmentioning

confidence: 99%

“…In order to obtain results coherent with the entire phase diagram characterization, a sample loading identical to the one used for the resistive-heated DAC was used: a small piece of Ca embedded in KCl. The pressure was determined from the volumetric compression of KCl according to the EOS of Dewaele et al [30] and the results are reported in Fig. 5.…”

Section: B Room-temperature Compression and Equation Of Statementioning

confidence: 99%

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Phase diagram of calcium at high pressure and high temperature

Anzellini

Errandonea

MacLeod

et al. 2018

Phys. Rev. Materials

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Resistively heated diamond-anvil cells have been used together with synchrotron x-ray diffraction to investigate the phase diagram of calcium up to 50 GPa and 800 K. The phase boundaries between the Ca-I (fcc), Ca-II (bcc), and Ca-III (simple cubic, sc) phases have been determined at these pressure-temperature conditions, and the ambient temperature equation of state has been generated. The equation of state parameters at ambient temperature have been determined from the experimental compression curve of the observed phases by using third-order Birch-Murnaghan and Vinet equations. A thermal equation of state was also determined for Ca-I and Ca-II by combining the room-temperature Birch-Murnaghan equation of state with a Berman-type thermal expansion model.

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Section: Methodsmentioning

confidence: 99%

Section: B Room-temperature Compression and Equation Of Statementioning

confidence: 99%

Phase diagram of calcium at high pressure and high temperature

Anzellini

Errandonea

MacLeod

et al. 2018

Phys. Rev. Materials

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“…For the diamond anvils and gasket (Re), ambient values of ρ, C P and k are 253 used. The high-pressure densities of Pt and the pressure medium are taken from their 254 equations-of-state (Dewaele et al, 2012;Dorogokupets and Dewaele, 2007;Jin et al, 255 2011). The value of C P used for Pt was determined at the conditions of the 256 experiments from the equations of state (Dorogokupets and Dewaele, 2007;Jin et al, 257 2011) and was found to be nearly the ambient value; C P for the pressure medium is 258 taken as the ambient value and results were not found to be sensitive to its choice.…”

Section: Finite-element Modelling 212mentioning

confidence: 99%

“…The melting curve is the solid black line based on extrapolation of recent melting measurements to 28 GPa (Errandonea, 2013). For the present study, uncertainties in individual measurements of k are 20 W/mK; pressure uncertainty is ~1 GPa; random temperature uncertainties are 50 K; possible systematic temperature errors due to Pt emissivity variation with wavelength (Haynes, 2011) (Dewaele et al, 2012;Dorogokupets and Dewaele, 2007;Jin et al, 2011). Input parameters that do not vary with pressure are as follows: thermal conductivity k of diamond (1000 W/mK) and Re (48 W/mK); density ρ of diamond (3500 kg/m 3 ) and Re (21020 kg/m 3 ); and the specific heat at constant pressure C P of diamond (630 J/kgK), Re (140 J/kgK), NaCl (864 J/(kgK), KCl (690 J/kgK), and Pt (135 J/kgK).…”

mentioning

confidence: 99%

A flash heating method for measuring thermal conductivity at high pressure and temperature: Application to Pt

McWilliams

Konôpková

Goncharov

2015

Physics of the Earth and Planetary Interiors

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20 21The transport properties of matter at high pressure and temperature are critical 22 components in planetary interior models, yet are challenging to measure or predict at 23 relevant conditions. Using a novel flash-heating method for in-situ high-temperature 24 and high-pressure thermal conductivity measurement, we study the transport 25 2 properties of platinum to 55 GPa and 2300 K. Experimental data reveal a simple high-26 pressure and high-temperature behavior of the thermal conductivity that can be 27 described as linear in both pressure and temperature. The corresponding electrical 28 resistivity evaluated through the Wiedemann-Franz-Lorenz law is nearly constant 29 along the melting curve, experimentally confirming the prediction of Stacey for an 30 ideal metal. This study together with prior first-principles predictions of transport 31 properties in Al and Fe at extreme conditions suggests a broad applicability of 32 Stacey's law to diverse metals, supporting a limit on the thermal conductivity of iron 33 at the conditions of Earth's outer core of 90 W/mK or less. 34 35

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“…At room temperature, their bulk moduli lie between 10 and 25 GPa, with the larger bulk moduli typically corresponding to the endmembers with the smaller volumes (Dewaele et al 2012;Dorogokupets and Dewaele 2007;Chang and Barsch 1971;(38…”

Section: Room-condition Excess Enthalpies In the Alkali Halidesmentioning

confidence: 99%

The elastic solid solution model for minerals at high pressures and temperatures

Myhill

2018

Contrib Mineral Petrol

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Non-ideality in mineral solid solutions affects their elastic and thermodynamic properties, their thermobaric stability, and the equilibrium phase relations in multiphase assemblages. At a given composition and state of order, non-ideality in minerals is typically modelled via excesses in Gibbs free energy which are either constant or linear with respect to pressure and temperature. This approach has been extremely successful when modelling near-ideal solutions. However, when the lattice parameters of the solution endmembers differ significantly, extrapolations of thermodynamic properties to high pressures using these models may result in significant errors. In this paper, I investigate the effect of parameterising solution models in terms of the Helmholtz free energy, treating volume (or lattice parameters) rather than pressure as an independent variable. This approach has been previously applied to models of order-disorder, but the implications for the thermodynamics and elasticity of solid solutions have not been fully explored. Solid solution models based on the Helmholtz free energy are intuitive at a microscopic level, as they automatically include the energetic contribution from elastic deformation of the endmember lattices. A chemical contribution must also be included in such models, which arises from atomic exchange within the solution. Derivations are provided for the thermodynamic properties of n-endmember solutions. Examples of the use of the elastic model are presented for the alkali halides, pyroxene, garnet, and bridgmanite solid solutions. Elastic theory provides insights into the microscopic origins of non-ideality in a range of solutions, and can make accurate predictions of excess enthalpies, entropies, and volumes as a function of volume and temperature. In solutions where experimental data are sparse or contradictory, the Helmholtz free energy approach can be used to assess the magnitude of excess properties and their variation as a function of pressure and temperature. The formulation is expected to be useful for geochemical and geophysical studies of the Earth and other planetary bodies.

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High-pressure–high-temperature equation of state of KCl and KBr

Cited by 133 publications

References 35 publications

Phase diagram of calcium at high pressure and high temperature

Phase diagram of calcium at high pressure and high temperature

A flash heating method for measuring thermal conductivity at high pressure and temperature: Application to Pt

The elastic solid solution model for minerals at high pressures and temperatures

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