The electrical conductivity of expanded liquid caesium

Redmer, R.; Reinholz, H.; Röpke, G.; Winter, Roland; Noll, Frank; Hensel, F.

doi:10.1088/0953-8984/4/7/005

Cited by 53 publications

(30 citation statements)

References 33 publications

(18 reference statements)

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“…Liquid alkali metals have been treated thermodynamically by methods of dense normal fluids [12], in which case the structure of liquid is determined essentially by the repulsive side of the potential function. Since the single valance electrons of the two colliding alkali metal atoms overlap to form a weak chemical bond, it causes the repulsion potential becomes softer than those of normal fluids.…”

Section: Resultsmentioning

confidence: 99%

Equation of state and manifestation of non-spherical contribution of interaction potential in liquid rubidium metal

Ghatee

Hosseini

2006

Fluid Phase Equilibria

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A semi-empirical equation of state is presented for the liquid rubidium metal. The Lennard-Jones (8.5-4) potential model, which originally has been derived for liquid cesium metal, is found to be suitable for modeling of liquid rubidium metal as well. By applying the experimental PVT data of compressed liquid metal in the range 500 K to 1600 K, the slope B , and intercept C , of the linear isotherms are B quite well, though some deviations at low s ' T exist.

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Section: Resultsmentioning

confidence: 99%

Equation of state and manifestation of non-spherical contribution of interaction potential in liquid rubidium metal

Ghatee

Hosseini

2006

Fluid Phase Equilibria

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“…However, a consistent treatment of the electrical conductivity requires another approach such as linear response theory [20,30]. Near the Mott transition, the transition from localized, bound electron states to itinerant, free electron states is of interest which is beyond the scope of the present paper.…”

Section: Resultsmentioning

confidence: 99%

Thermodynamics of Mercury Vapours

Röpke¹,

Nagel²,

Redmer³

1993

Contrib. Plasma Phys.

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A quantum statistical approach is used to give a unified treatment of the metalnonmetal-and liquid-vapour-transitions in mercury. The limiting cases of the atomic vapour at low densities and the metallic fluid at high densities are included. A simple plasma model with only long range Coulomb forces has to be improved by considering also short range interactions. Estimates are given for the critical point of the liquidgas phase transition, as well as for the Mott density indicating the metal-nonmetal transition. Mercury Atoms and ClusterThe neutral mercury atom Hgo consists of a nucleus, atomic number A = 200.6, and 80 electrons. The atomic orbitals are known from Hartree-Fock (HF) calculations [l]. Besides closed shells, two valence electrons are positioned in 6s-orbitals. According to the HF calculations, the 6s-orbital is characterized by the mean radius ( r )~ = 3.32 U B .The lowest excited states of Hgo are given by 6p-triplet states with energies of 4.66 eV, 4.89 eV, and 5.45 eV, and a 6p-singlet state at 6.70 eV. The ionization energy is for the first electron E: = 10.44 eV, and for the second electron E2+ = 18.8 eV, respectively. Considering the ion Hg2+ as an elementary entity, the binding energy -Ei+ = 29.2 eV follows for the neutral mercury atom. In Hg+, the 6s-orbital is slightly reduced, ( r ) + = 3.0 aB. The binding energy of the Hgz molecule is nearly zero. The formation of other clusters such as Hgi with a binding energy of about -1 eV is possible.The interactions between these particles can be described by effective (pseudo-) potentials. In particular, the effective interaction between neutral Hg atoms is characterized by a Lennard-Jones potential,with parameter values e/kB = 1030K, and u = 5 . 0 7~~. The interaction between neutral Hg atoms and charged particles is described by a polarization potential, with the polarizability a = 34~x38 and a cutoff radius & = 1 . 4~~ [2,3]. In addition, we have short-range interaction (repulsion) which can be described by, e.g., a hard core

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“…For example, due to its large thermal and electrical conductivity at high temperature liquid sodium (Na) is used as coolant in reactors and conductor of electric current. 1,2 Since liquid Na in these applications is usually under very high pressure and therefore, how pressure affects the melting curve and other thermodynamic properties has been a focus of not only engineering but also basic scientific research. 3 In a recent experiment by X-ray diffraction of Na up to pressures of 130 GPa, a maximum melting temperature around 1000K at 31 GPa has been observed in a body centered cubic phase of Na, 4 which is unexpected for the simple metal.…”

Section: Introductionmentioning

confidence: 99%

“…3 In a recent experiment by X-ray diffraction of Na up to pressures of 130 GPa, a maximum melting temperature around 1000K at 31 GPa has been observed in a body centered cubic phase of Na, 4 which is unexpected for the simple metal. Since liquid Na is a simple dense liquid thermodynamically, 1 such complex behavior under high pressure certainly leads to new curiosity that demands better description of the various thermodynamic properties important for technological application and basic understanding. Since there is limited direct experimental information under high pressure and high temperature, ab initio methods and molecular-dynamics simulations are used.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of liquid sodium under high pressure

Zhang

Sun

et al. 2017

AIP Advances

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Acquiring reliable thermodynamic properties in liquid metals at high pressure and temperature is still a challenge in both experiment and theory. Equation of state (EoS) offers an alternative approach free of many of the difficulties. Here using the EoS of a power law form we obtained the thermodynamic properties of liquid sodium under pressure along the isothermal lines, including isothermal buck modulus, thermal expansion coefficient, Grüneisen parameter, and Anderson-Grüneisen parameter. The results are in excellent agreement with available experimental data measured by a piezometer at high temperature and high pressure and sound velocity measurement with pulse-echo technique. We found that the pressure derivative of the isothermal bulk modulus at zero pressure is a monotonic function of temperature and has a value around 4. In addition, unexpected crossing points were found in the isobaric thermal expansion coefficient and Grüneisen parameter; and a minimum in the isobaric heat under isothermal compression was also observed. While some of these detailed predictions are yet to be confirmed by further experiment, our results suggest that the power law form may be a more suitable choice for the EoS of liquids metals.

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The electrical conductivity of expanded liquid caesium

Cited by 53 publications

References 33 publications

Equation of state and manifestation of non-spherical contribution of interaction potential in liquid rubidium metal

Equation of state and manifestation of non-spherical contribution of interaction potential in liquid rubidium metal

Thermodynamics of Mercury Vapours

Thermodynamic properties of liquid sodium under high pressure

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