Measurements and Calculations of the He Second Virial Coefficient Between 1.5 K and 20.3 K

Matacotta, F.C.; McConville, G. T.; Steur, P. P. M.; Durieux, M.

doi:10.1088/0026-1394/24/2/002

Cited by 36 publications

(8 citation statements)

References 12 publications

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“…It becomes evident that the results of four measurement series of the constant-volume gas thermometry between 1.5 K and 20.3 K performed by Matacotta et al [40] are in close agreement with the calculated values for the interatomic helium potential. Surprisingly, the older data by Keller [39] are also reasonably consistent with the calculated values.…”

Section: Calculation Of the Transport Propertiessupporting

confidence: 78%

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

2007

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To cite this version:Eckhard Vogel, Eckard Bich, Robert Hellmann. Ab initio potential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium. Molecular Physics, Taylor & Francis, 2007, 105 (23-24) A helium-helium interatomic potential energy curve determined from quantum-mechanical ab initio calculations and described with an analytical representation considering relativistic retardation effects (R. Hellmann, E. Bich, and E. Vogel, Mol. Phys. (submitted)) was used in the framework of the quantum-statistical mechanics and of the corresponding kinetic theory to calculate the most important thermophysical properties of helium governed by two-body and three-body interactions. The second pressure virial coefficient as well as the viscosity and thermal conductivity coefficients, the last two in the so-called limit of zero density, were calculated for 3 He and 4 He from 1 K to 10,000 K and the third pressure virial coefficient for 4 He from 20 K to 10,000 K. The transport property values can be applied as standard values for the complete temperature range of the calculations characterized by an uncertainty of ±0.02% for temperatures above 15 K. This uncertainty is superior to the best experimental measurements at ambient temperature.

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Section: Calculation Of the Transport Propertiessupporting

confidence: 78%

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

2007

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“…Except for the single-isotherm fit at 6.6 K, the obtained second virial coefficient B agrees with B ITS-90 within the previously estimated uncertainty of the data set used to derive B ITS-90 [21]. At 5 K and above, B obtained from a multi-isotherm fit agrees with recent ab initio calculations [24] within the residuals of the isotherm fitting, 0.1 cm 3 ·mol −1 at most.…”

Section: Resultssupporting

confidence: 82%

“…1b. The present data set for the density dependence of pressure is considered to be consistent with the data set used to derive B ITS-90 , because it was reported that the latter has an uncertainty that increases from 0.2 cm 3 · mol −1 above 4.2 K to near 1.0 cm 3 · mol −1 at 1.5 K [21].…”

Section: Isotherm Fittingmentioning

confidence: 68%

“…1 is the same as that of B ITS-90 , which was used for describing experimental results [21] and was adopted later in the ITS-90 [14]. The form of Eq.…”

Section: Isotherm Fittingmentioning

confidence: 99%

“…After the determination of the second virial coefficient of 3 He, B, between 1.5 K and 20.3 K [21], which was later adopted in the ITS-90 [14], no measurements were reported for a long while. Recently, B has been determined experimentally at 2.47 K and 3.23 K using a dielectric constant gas thermometer [22] and has been calculated theoretically ab initio in wider temperature ranges [23][24][25] down to 1 K.…”

Section: Introductionmentioning

confidence: 99%

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Constant-Volume Gas Thermometry with Different Helium-3 Gas Densities at NMIJ/AIST

et al. 2011

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Constant-volume gas thermometer (CVGT) measurements are conducted using 3 He of three different densities as the working gas to obtain the thermodynamic temperature T CVGT and the second virial coefficient of 3 He, B, at temperatures down to 3 K, using the triple point of Ne as a reference temperature. Densities of 127 mol · m −3 and 278 mol · m −3 are used in addition to the density of 168 mol · m −3 used in the measurement reported previously, where T CVGT was obtained using the virial coefficient adopted by the International Temperature Scale of 1990 (ITS-90), B ITS-90 . T CVGT is obtained by two methods, by the single-and multi-isotherm fitting of B to the three densities and by the method used in the previous work using one of the three densities and B ITS-90 . B obtained from the isotherm fitting agrees with B ITS-90 within the uncertainty of the data used to derive B ITS-90 . Moreover, B obtained from a multi-isotherm fit agrees with that of recent theoretical ab initio calculations within 0.05 cm 3 · mol −1 at 5 K and above, and within 0.3 cm 3 · mol −1 down to 3 K. The values of T CVGT obtained from the multi-isotherm fits assuming different forms for the temperature dependence of B agree with each other within 0.1 mK. T CVGT obtained from the multi-isotherm fitting agrees with that obtained from the method in the previous report within 0.22 mK. The tendency of the difference between T CVGT and the ITS-90 temperature reported in the previous work is confirmed in the present work.

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Berechnung des zweiten Virialkoeffizienten B(T) für gasförmigen molekularen Wasserstoff im Temperaturintervall von 1 K bis 3000 K

Artym¹,

Kliem²

1991

Ber Bunsenges Phys Chem

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The second virial coefficient B(T) of hydrogen (H2) has been calculated at temperatures over the range 1 K to 3000 K using the Woolley potential function. The potential constants ε/k = 28,79 K, rm = 0,34473 nm, e1 = 0,01 have been determined from the B(T)‐data of Michels et al. (1959). The calculated second virial coefficients B(T) agree very well with the available experimental data over the whole temperature range from 13 K to 3000 K. A new method of calculating second virial coefficients has been suggested for low temperatures based on the representation of (y–y0)/(x–x0) vs x by a straight line (x = T1/2, y = T5/4 B).

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Measurements and Calculations of the He Second Virial Coefficient Between 1.5 K and 20.3 K

Cited by 36 publications

References 12 publications

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

Constant-Volume Gas Thermometry with Different Helium-3 Gas Densities at NMIJ/AIST

Berechnung des zweiten Virialkoeffizienten B(T) für gasförmigen molekularen Wasserstoff im Temperaturintervall von 1 K bis 3000 K

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