Equation of state of liquid mercury to 520 K and 7 GPa from acoustic velocity measurements

Ayrinhac, Simon; Gauthier, Michel; Bove, L. E.; Morand, Marc; Marchand, Gilles; Bergame, F.; Philippe, J.; Decremps, F.

doi:10.1063/1.4882695

Cited by 26 publications

(38 citation statements)

References 64 publications

(130 reference statements)

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“…[]; and expansivity, bulk modulus, and caloric errors from Ayrinhac et al . []; caloric data as in Table .…”

Section: Van Der Waals‐type Eosmentioning

confidence: 99%

Liquid‐vapor phase relations in the Si‐O system: A calorically constrained van der Waals‐type model

Connolly

2016

JGR Planets

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This work explores the use of several van der Waals (vW)‐type equations of state (EoS) for predicting vaporous phase relations and speciation in the Si‐O system, with emphasis on the azeotropic boiling curve of SiO2‐rich liquid. Comparison with the observed Rb and Hg boiling curves demonstrates that prediction accuracy is improved if the a‐parameter of the EoS, which characterizes vW forces, is constrained by ambient pressure heat capacities. All EoS considered accurately reproduce metal boiling curve trajectories, but absent knowledge of the true critical compressibility factor, critical temperatures remain uncertain by ~500 K. The EoS plausibly represent the termination of the azeotropic boiling curve of silica‐rich liquid by a critical point across which the dominant Si oxidation state changes abruptly from the tetravalent state characteristic of the liquid to the divalent state characteristic of the vapor. The azeotropic composition diverges from silica toward metal‐rich compositions with increasing temperature. Consequently, silica boiling is divariant and atmospheric loss after a giant impact would enrich residual silicate liquids in reduced silicon. Two major sources of uncertainty in the boiling curve prediction are the heat capacity of silica liquid, which may decay during depolymerization from the near‐Dulong‐Petit limit heat capacity of the ionic liquid to value characteristic of the molecular liquid, and the unknown liquid affinity of silicon monoxide. Extremal scenarios for these uncertainties yield critical temperatures and compositions of 5200–6200 K and Si1.1O2–Si1.4O2. The lowest critical temperatures are marginally consistent with shock experiments and are therefore considered more probable.

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“…[]; and expansivity, bulk modulus, and caloric errors from Ayrinhac et al . []; caloric data as in Table .…”

Section: Van Der Waals‐type Eosmentioning

confidence: 99%

Liquid‐vapor phase relations in the Si‐O system: A calorically constrained van der Waals‐type model

Connolly

2016

JGR Planets

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“…To increase the reliability of the predictions from the embedded-atom models for liquid Hg one could attempt to fit the embedding energy to the recent experimental results for the equation of state of liquid Hg [98]. One could also try to adopt a modified embedded-atom method (MEAM) [99] to the liquid mercury, where the non-uniform angle distribution of density is taken explicitly into account.…”

Section: Density-dependent Modelsmentioning

confidence: 99%

Surface tension of liquid mercury: a comparison of density-dependent and density-independent force fields

2015

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Motivated by an experimental interest we investigate by the means of atomistic Molecular Dynamics simulation the ability of density-independent, empiric density-dependent, and recently proposed embedded-atom force fields for liquid mercury to predict the surface tension of the free surface of liquid mercury at the temperature of 293 K. The effect of the density dependence of the studied models on the liquid-vapor coexistence and surface tension is discussed in detail. In view of computational efficiency of the density-independent model we optimize its functional form to obtain higher surface tension values in order to improve agreement with experiment. The results are also corroborated by Monte Carlo simulations and semi-analytic estimations of the liquid-vapor coexistence density. *

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“…Our acoustic set-up, described in reference [ 22 ], is based on the use of an ultrashort pulse of 60 fs generated every 12.554 ns by a Ti:Sapphire laser operating at λ = 800 nm. The laser beam is split into pump and probe beams.…”

Section: Experimental Methodsmentioning

confidence: 99%

“…In both cases, pressure was increased to the maximum value (5 GPa) and data have been collected downstroke. The temporal method (described in a previous article 22 ) enables to extract the travel time ∆t corresponding to a single way of the acoustic wave into l-Cs. Sound velocity was then determined through the measurement of ∆t during decreasing pressure at continuous rate of the order of -0.02 bar/min on the membrane DAC.…”

Section: Experimental Methodsmentioning

confidence: 99%

“…Pressures were determined from the SrB 4 O 7 : Sm 2+ fluorescence line shift before and after collection of each acoustic scope (pressure uncertainty given by symbols sizes in all figures). Using the imagery method 22 , the gasket thickness was determined simultaneously with the sound velocity at two pressures, 4.8 GPa and 2.3 GPa, leading in both cases to a constant value of e = 20(2)µm. Moreover, by white light interferences, we also estimated the thickness of the recovered gasket at ambient conditions to be 21(1)µm.…”

Section: Experimental Methodsmentioning

confidence: 99%

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Sound velocity and equation of state in liquid cesium at high pressure and high temperature

et al. 2018

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Liquid cesium (l-Cs) sound velocity at high densities was investigated along a 500 K isotherm using high-pressure picosecond acoustics measurements. At 2.0 GPa, the liquid sound velocity goes through a maximum versus pressure without any change on the reflectivity and interferometry acoustic signals. Upon further compression, a softening of the l-Cs visco-elastic properties is observed from 2.0 up to 4.0 GPa, pressure at which the reflectometric signal is abruptly reversed whereas the interferometric signal remains qualitatively the same. This anomalous behaviour could be related to an electronic transformation within the l-Cs state, which here again could reflect what happens at lower temperature within the solid state. If so, such liquid-liquid transition may be driven by the progressive collapse of the 6s electronic orbital onto the 5d ones. Above 4.0 GPa, the l-Cs sound velocity starts again to increase as commonly expected upon compression.

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Equation of state of liquid mercury to 520 K and 7 GPa from acoustic velocity measurements

Cited by 26 publications

References 64 publications

Liquid‐vapor phase relations in the Si‐O system: A calorically constrained van der Waals‐type model

Liquid‐vapor phase relations in the Si‐O system: A calorically constrained van der Waals‐type model

Surface tension of liquid mercury: a comparison of density-dependent and density-independent force fields

Sound velocity and equation of state in liquid cesium at high pressure and high temperature

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