The second virial coefficient of argon at low temperatures

1974 ◽  
Vol 29 (1) ◽  
pp. 137-139 ◽  
Author(s):  
B. Schramm ◽  
Ursula Hebgen
Keyword(s):  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient

scholarly journals HIGH AND LOW TEMPERATURE BEHAVIOR OF A QUANTUM GROUP FERMION GAS

1996 ◽  
Vol 11 (29) ◽  
pp. 2325-2333 ◽  
Author(s):  
MARCELO R. UBRIACO
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Quantum Group ◽  
Upper Bound ◽  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Behavior ◽  
Spatial Dimensions ◽  
Fermion Gas

We consider the simplest SU q(2) invariant fermionic Hamiltonian and calculate the low and high temperature behavior for the two distinct cases q>1 and q<1. For low temperatures we find that entropy values for the Fermi case are an upper bound for those corresponding to q≠1. At high temperatures we find that the sign of the second virial coefficient depends on q, and vanishes at q=1.96. An important consequence of this fact is that the parameter q connects the fermionic and bosonic regions, showing therefore that SU q(2) fermions exhibit fractional statistics in three spatial dimensions.

Second virial coefficient at low temperatures

1977 ◽  
Vol 86 (3) ◽  
pp. 613-621 ◽  
Author(s):  
D. Kremp ◽  
R. Gau ◽  
M. Schlanges ◽  
W.D. Kraeft
Keyword(s):  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient

THE SECOND VIRIAL COEFFICIENT OF CARBON DIOXIDE AT LOW TEMPERATURES

1957 ◽  
Vol 35 (3) ◽  
pp. 268-275 ◽  
Author(s):  
D. Cook
Keyword(s):  
Carbon Dioxide ◽  
High Pressure ◽  
High Temperature ◽  
Low Temperatures ◽  
Pressure Range ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Expansion Method ◽  
Pressure Measurements ◽  
Gas Compressibility

The fixed volum e expansion method for gas compressibility measurements previously employed under conditions of high temperature and high pressure has now been developed for low temperature and low pressure measurements. A sensitive diaphragm null-pressure detector, operating as a capacitor, has been incorporated into the gas pipettes, and eliminates troublesome dead space corrections. The advantages and limitations of the method are discussed. Measurements of the second virial coefficient of carbon dioxide in the temperature range −60 °C. to + 30 °C, and in the pressure range 0.5 to 2.5 atmospheres, are reported.

The calculation of some properties of hydrogen gas at low temperatures

1959 ◽  
Vol 250 (1261) ◽  
pp. 222-247 ◽  
Keyword(s):  
Cross Sections ◽  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Hydrogen Gas ◽  
Intermolecular Potential ◽  
Radial Wave ◽  
Coupled Equations ◽  
Collision Problem ◽  
The Difference

Some further study of molecular collisions using a non-spherical intermolecular potential in hydrogen gas at low temperatures is presented in this paper. Pairs of coupled equations for radial wave functions for the para-ortho collision problem are solved numerically using the U. C. L. electronic computer. The para-para collisions are also studied. The results make it likely that the difference between the viscosity cross-sections for para-para and para-ortho collisions can be explained mainly by the non-spherical nature of the potential, together with the effect of the statistics applicable in the various cases. The second virial coefficient is also calculated.

scholarly journals Second Virial Coefficient of Krypton at Low Temperatures

Nature ◽  
1962 ◽  
Vol 193 (4811) ◽  
pp. 160-160 ◽  
Author(s):  
G. THOMAES ◽  
R. VAN STEENWINKEL
Keyword(s):  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient

Use of the Padé approximants for calculating the second virial coefficient

1981 ◽  
Vol 46 (3) ◽  
pp. 542-551 ◽  
Author(s):  
Tomáš Boublík ◽  
Jan Vosmanský
Keyword(s):  
Low Temperatures ◽  
Virial Coefficient ◽  
Good Accuracy ◽  
Second Virial Coefficient ◽  
Padé Approximant ◽  
Molecular Gases ◽  
Pade Approximant ◽  
Kihara Potential ◽  
Reduced Temperature ◽  
Correlate Data

The expansions in reduced temperature, occurring in relations for the second virial coefficient of the power-law potentials were expressed by the Pade approximant. For the Kihara potential it is proved that the functions F1(T*), F2(T*) and F3(T*) and consequently the whole virial coefficient can bee expressed for reduced temperatures T* 0.6 with a good accuracy by means of a simple Pade approximant. To describe quantum effects on the second virial coefficient of low-molecular gases at low temperatures a simple approximant was formulated on the basis of the Wigner-Kirkwood expansion allowing to correlate data on the second virial coefficient even in the temperature range where the use of the Wigner-Kirkwood expansion already fails.

Thermodynamic properties of spin-polarized 3He gas in the temperature range 1 mK–4 K from the quantum second virial coefficient

2017 ◽  
Vol 31 (28) ◽  
pp. 1750202 ◽  
Author(s):  
A. F. Al-Maaitah ◽  
A. S. Sandouqa ◽  
B. R. Joudeh ◽  
H. B. Ghassib
Keyword(s):  
Thermodynamic Properties ◽  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Matrix Inversion ◽  
Low Energy ◽  
Repulsive Interaction ◽  
Energy Limit ◽  
Temperature Range ◽  
Spin Polarized

The quantum second virial coefficient B[Formula: see text] of 3He[Formula: see text] gas is determined in the temperature range 0.001–4 K from the Beth–Uhlenbeck formula. The corresponding phase shifts are calculated from the Lippmann–Schwinger equation using a highly-accurate matrix-inversion technique. A positive B[Formula: see text] corresponds to an overall repulsive interaction; whereas a negative B[Formula: see text] represents an overall attractive interaction. It is found that in the low-energy limit, B[Formula: see text] tends to increase with increasing spin polarization. The compressibility Z is evaluated as another measure of nonideality of the system. Z becomes most significant at low temperatures and increases with polarization. From the pressure–temperature (P–T) behavior of 3He[Formula: see text] at low T, it is deduced that P decreases with increasing T below 8 mK.

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