Numerical studies of the second virial coefficient asymptotic expressions at low temperatures for the Morse intermolecular potential

1990 ◽  
Vol 87 ◽  
pp. 1187-1188
Author(s):  
H Guérin
Keyword(s):  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Intermolecular Potential ◽  
Numerical Studies ◽  
Asymptotic Expressions

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.

The statistical mechanics of assemblies of axially symmetric molecules - II. Second virial coefficients

1954 ◽  
Vol 221 (1147) ◽  
pp. 508-516 ◽  
Keyword(s):  
Carbon Dioxide ◽  
General Theory ◽  
Force Field ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Virial Coefficients ◽  
Intermolecular Potential ◽  
Crystal Data ◽  
Axially Symmetric ◽  
Second Virial Coefficients

A general theory of the second virial coefficient of axially symmetric molecules is developed, the directional part of the intermolecular field being treated as a perturbationon the central-force part. The method is applicable to any type of intermolecular potential, particular models of directional interaction being obtained by suitable choices of parameters. Simple expressions are given for the second virial coefficient due to several types of directional force. The theory is illustrated by some calculations on the force field of carbon dioxide and its relation to the second virial coefficient and crystal data. These indicate that there is strong quadrupole interaction between carbon dioxide molecules.

Intermolecular potential and second virial coefficient of the water–hydrogen complex

2004 ◽  
Vol 120 (2) ◽  
pp. 710-720 ◽  
Author(s):  
Matthew P. Hodges ◽  
Richard J. Wheatley ◽  
Gregory K. Schenter ◽  
Allan H. Harvey
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Intermolecular Potential ◽  
Water Hydrogen

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.

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