Compressibility of Gases at High Temperatures. II. The Second Virial Coefficient of Helium in the Temperature Range 0°C to 600°C

1949 ◽  
Vol 17 (9) ◽  
pp. 751-754 ◽  
Author(s):  
W. G. Schneider ◽  
J. A. H. Duffie
Keyword(s):  
High Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Range

COMPRESSIBILITY OF GASES AT HIGH TEMPERATURES: I. METHODS OF MEASUREMENT AND APPARATUS

1949 ◽  
Vol 27b (4) ◽  
pp. 339-352 ◽  
Author(s):  
W. G. Schneider
Keyword(s):  
High Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Range ◽  
Pure Helium ◽  
Methods Of Measurement

Methods and apparatus used for compressibility measurements of gases in the temperature range 0° to 600 °C. are described. A further method which can be used at temperatures above 600 °C. is also described. Data for some measurements with pure helium at 0° and at 600 °C. are given, from which the values (in Amagat units), 0.527 × 10−3 per atm. ± 0.003 × 10−3 and 0.439 × 10−3 per atm. ± 0.005 × 10−3 were obtained for the second virial coefficient at 0° and 600 °C. respectively.

The quantum second virial coefficient of 3He at low density in the temperature range 0.005–10 K

2017 ◽  
Vol 95 (12) ◽  
pp. 1208-1214 ◽  
Author(s):  
O.T. Al-Obeidat ◽  
A.S. Sandouqa ◽  
B.R. Joudeh ◽  
H.B. Ghassib ◽  
M.M. Hawamdeh
Keyword(s):  
First Principles ◽  
Virial Coefficient ◽  
Scattering Length ◽  
Second Virial Coefficient ◽  
Repulsive Interaction ◽  
Saturation Curve ◽  
Low Density ◽  
S Wave ◽  
Temperature Range ◽  
The Many

The quantum second virial coefficient Bq for 3He is calculated from first principles at low density in the temperature range 0.005–10 K. By “first principles”, it is meant that the many-body phase shifts are first determined within the Galitskii–Migdal–Feynman formalism; they are then plugged into the Beth–Uhlenbeck formula for Bq. A positive Bq corresponds to an overall repulsive interaction; a negative Bq represents an overall attractive interaction. The s-wave scattering length a0 is calculated quite accurately as a function of the temperature T. The effect of the (low-density) medium on Bq is studied. Bq is then used to determine the volume of 3He at the saturation curve. The compressibility is evaluated as a measure of the non-ideality of the system.

A POTENTIAL FUNCTION FOR LIQUID HELIUM AT 0°K.

1954 ◽  
Vol 32 (12) ◽  
pp. 759-763 ◽  
Author(s):  
C. F. A. Beaumont
Keyword(s):  
Liquid Helium ◽  
Potential Function ◽  
High Temperatures ◽  
Radial Distribution ◽  
Isothermal Compressibility ◽  
Virial Coefficient ◽  
Distribution Curve ◽  
Second Virial Coefficient ◽  
Fair Agreement ◽  
Radial Distribution Curve

A new potential function for liquid helium is obtained by modifying the Margenau potential function and summing over a suggested structure for the liquid. The new potential function leads to fair agreement with the first peak of the radial distribution curve for liquid helium, with the isothermal compressibility, and with second virial coefficient data at high temperatures.

Interaction between argon atoms

1960 ◽  
Vol 255 (1283) ◽  
pp. 456-476 ◽  
Keyword(s):  
Temperature Dependence ◽  
Interaction Energy ◽  
High Temperatures ◽  
Pressure Dependence ◽  
Virial Coefficient ◽  
Second Virial Coefficient

The interaction energy between argon atoms is correlated with the following experimental properties of argon: (1) the temperature dependence of the entropy of the crystal, (2) the temperature dependence of the energy of the crystal, (3) the temperature dependence of the density of the crystal, (4) the pressure dependence of the density of the crystal, (5) the temperature dependence of the second virial coefficient of the gas, (6) the viscosity at high temperatures of the gas. The interaction energy which best accords with all these properties is strikingly different from the commonly advocated difference between an inverse twelfth power and an inverse sixth power of the distance.

The classical and quantum second virial coefficient of low-density 132Xe vapor in the temperature-range 0.1 mK–30 000 K

2019 ◽  
Vol 95 (1) ◽  
pp. 015401 ◽  
Author(s):  
O T Al-Obeidat ◽  
A S Sandouqa ◽  
B R Joudeh ◽  
M M Hawamdeh ◽  
H B Ghassib
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Low Density ◽  
Temperature Range
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