Singular Three‐Body Amplitudes in the Theory of the Third Virial Coefficient

1970 ◽  
Vol 11 (4) ◽  
pp. 1136-1143 ◽  
Author(s):  
Roger Dashen ◽  
Shang‐keng Ma
Keyword(s):  
Virial Coefficient ◽  
The Third ◽  
Third Virial Coefficient ◽  
Three Body

Multipolar third-order non-pairwise additivity of intermolecular forces: Effects on crystal properties and third virial coefficients

1971 ◽  
Vol 24 (11) ◽  
pp. 2205 ◽  
Author(s):  
CHJ Johnson ◽  
TH Spurling
Keyword(s):  
Cohesive Energy ◽  
Virial Coefficient ◽  
Virial Coefficients ◽  
Intermolecular Forces ◽  
Higher Order ◽  
The Third ◽  
Dipole Term ◽  
Third Virial Coefficient ◽  
Three Body ◽  
Body Potential

In this paper we give the results of computing the third virial coefficient and the cohesive energy of the crystal for argon taking into account the higher-order multipole terms in the long-range three- body interaction as recently calculated by Bell. The Barker-Pompe potential has been used as the two-body potential function. We find that the third virial coefficient values for argon computed with this more complete non-additive energy function agree very much better with the experimental values than when only the triple-dipole term is used. This is particularly true at lower temperatures. The results also show that better agreement would be obtained if some form of repulsive non- addivity were included in the computation. For the cohesive energy of the crystal we find that the dipole-dipole-quadrupole energy is one-third as large as the triple-dipole energy and so cannot be neglected in these lattice computations. Furthermore, we find that these higher- order three-body forces do not stabilize the face-centred-cubic lattice for argon, the hexagonal-close-packed lattice having a slightly lower energy.

The third virial coefficient of hard discs of different sizes

1987 ◽  
Vol 61 (2) ◽  
pp. 525-528 ◽  
Author(s):  
John S. Rowlinson ◽  
Donald A. McQuarrie
Keyword(s):  
Virial Coefficient ◽  
The Third ◽  
Third Virial Coefficient

scholarly journals Nonadditivity of Intermolecular Forces: Effects on the Third Virial Coefficient

1966 ◽  
Vol 44 (8) ◽  
pp. 2984-2994 ◽  
Author(s):  
A. E. Sherwood ◽  
Andrew G. De Rocco ◽  
E. A. Mason
Keyword(s):  
Virial Coefficient ◽  
Intermolecular Forces ◽  
The Third ◽  
Third Virial Coefficient
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