Theory of Intermolecular Potential and Second Virial Coefficient of Hydrogen at Low Temperature

1953 ◽  
Vol 21 (12) ◽  
pp. 2107-2114 ◽  
Author(s):  
Masataka Mizushima ◽  
Kimio Ohno ◽  
Akiko Ohno
Keyword(s):  
Low Temperature ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Intermolecular Potential

scholarly journals GENERALIZED PARTITION FUNCTIONS AND INTERPOLATING STATISTICS

1998 ◽  
Vol 13 (11) ◽  
pp. 843-852 ◽  
Author(s):  
P. F. BORGES ◽  
H. BOSCHI-FILHO ◽  
C. FARINA
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Limit ◽  
Partition Functions ◽  
High Temperature Limit ◽  
Full Temperature ◽  
Generalized Partition ◽  
Relativistic Particles

We show that the assumption of quasiperiodic boundary conditions (those that interpolate continuously periodic and antiperiodic conditions) in order to compute partition functions of relativistic particles in 2+1 space–time can be related with anyonic physics. In particular, in the low temperature limit, our result leads to the well-known second virial coefficient for anyons. Besides, we also obtain the high temperature limit as well as the full temperature dependence of this coefficient.

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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