Molar volume of pure liquid : dependence on temperature (50–1000 mK) and pressure (0–1.57 MPa)

Tanaka, Etsutaro; Hatakeyama, Kazutoshi; Noma, S.; Satoh, Toshiyuki

doi:10.1016/s0011-2275(00)00052-7

Cited by 26 publications

(37 citation statements)

References 14 publications

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“…The pure value has been determined experimentally with good accuracy. We used the data of Tanaka et al 11 and Watson et al 12 The temperature and concentration dependencies of α were calculated by following the theory presented in Refs. 13 and 14.…”

Section: Quasiparticle Interactionsmentioning

confidence: 99%

Effective3He interactions in dilute3He-4He mixtures

2012

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The effective interaction between 3 He quasiparticles in dilute liquid 3 He-4 He mixtures affects many of its physical properties. The interaction potential is determined here from the saturation solubility and osmotic pressure data reported recently. The interactions are examined consistently over the entire pressure range of liquid-helium mixtures at very low temperatures, that is, from 0 to 25.6 bar, where the solid phase appears. To reproduce all experimental data, it was necessary to include a concentration dependence in the potential. This dependence, however, turned out to be almost the opposite to what has been proposed earlier. The deduced potential can be used to calculate, among other things, an estimate for the superfluid transition temperature of 3 He-4 He mixtures. In addition, we also find values for some less well-established parameters for helium mixtures, such as the binding energy of a 3 He atom in superfluid 4 He.

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Section: Quasiparticle Interactionsmentioning

confidence: 99%

Effective3He interactions in dilute3He-4He mixtures

2012

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“…Tanaka et al [57] present an empirical formula for the molar volume of pure 4 He which is applicable for temperatures from 0.05 K to 1 K and for pressures from 0 to 15.7 bar. Brooks and Donnelly [58] tabulate thermodynamic properties of superfluid 4 He including the molar volume…”

Section: Calculation Of the Mixture Molar Volumementioning

confidence: 99%

“…Tanaka et al's expression [57] for 0 4 v is ( ) They suggest that their formula is valid only up to temperatures of 1 K; however, it matches values (molar volumes, isothermal compressibilities and expansion coefficients) from other sources [58,15] quite well all the way up to 1.8 K. (The maximum error associated with Tanaka et al's expression is about 0.1% for values between 1 K and 1.8 K.) Therefore, their formula for 0 4 v is used in Eq. 3.21 for the entire range of temperatures in this work.…”

Section: Calculation Of the Mixture Molar Volumementioning

confidence: 99%

Thermodynamic Properties of Liquid 3He-4He Mixtures Between 0.15 K and 1.8 K

Chaudhry

Brisson

2009

J Low Temp Phys

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Thermodynamic property relations for liquid [3][4] He mixtures between temperatures of 0.15 K and 1.8 K are determined. The relations are valid over the entire concentration range. Thermodynamic properties are first calculated at saturated pressure (which is more or less equal to zero pressure) in the two-phase region, and then extended to the single-phase He-II (up to 1.8 K) and He-I (up to 1.5 K) regions. The calculations at saturated pressure are based on available specific heat data and previously determined sub-0.15 K properties. The property relations are then extended to higher pressures (up to 10 bar) between 0.15 K and 1.5 K, using available molar volume data. The results are largely in good agreement with some other 3 He-4 He mixture property data, though the scarcity of experimental data in large parts of the region of interest precludes a more thorough comparison. Applications of the derived properties to components of sub-Kelvin refrigerators, specifically He-II mixture heat exchangers and He-II mixture throttles, are also discussed.

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“…To convert density into pressure, we have chosen to use an equation of state based on the experimental data of [38], which provides accurate values for the molar volume of liquid helium 4 at 50 mK between 0 and 2.45 MPa. The original work used a 9th order polynomial interpolation to represent the data.…”

Section: Appendix: Equation Of Statementioning

confidence: 99%

“…Consequently, we have chosen to fit the original data with a simpler formula, originally proposed by Maris [39]. We convert the molar volume into density using the molar mass of helium 4, m 4 = 4.0026032 × 10 −3 kg mol −1 [38], and fit the data with:…”

Section: Appendix: Equation Of Statementioning

confidence: 99%

Static Structure Factor and Static Response Function of Superfluid Helium 4: a Comparative Analysis

Caupin¹,

Boronat

Andersen

2008

J Low Temp Phys

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Extensive neutron scattering data on liquid helium 4 are available, and have been analyzed to give a number of physical quantities, e.g. static structure factor S(q), excitation energy, and roton linewidth. X-rays also give access to S(q). However, a comprehensive comparison between experimental data and theoretical results, including their dependence on pressure, is still lacking. The static response function χ(q) has been particularly overlooked, despite its fundamental role in theories of inhomogeneous helium. We present here a critical review about the strength of the main peaks of S(q) and χ(q). We include in the comparison the analysis of unpublished neutron data and new Monte-Carlo calculations of χ(q). We find a significant discrepancy between experiments, and suggest corrections which account for some of the differences. We give recommendations for the best values to use for S(q) and χ(q).

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Molar volume of pure liquid : dependence on temperature (50–1000 mK) and pressure (0–1.57 MPa)

Cited by 26 publications

References 14 publications

Effective3He interactions in dilute3He-4He mixtures

Effective3He interactions in dilute3He-4He mixtures

Thermodynamic Properties of Liquid 3He-4He Mixtures Between 0.15 K and 1.8 K

Static Structure Factor and Static Response Function of Superfluid Helium 4: a Comparative Analysis

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