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On the Quantum Theory of the Third Virial Coefficient
Physical Review, 1959The quantum theory of the third virial coefficient $C$ is discussed. Three types of intermolecular pair forces must be distinguished. (1) No bound or low-lying two- and/or three-body states exist. The first four terms of the low-temperature expansion of ${C}_{\mathrm{BE}}$ are obtained.
Pais, A., Uhlenbeck, G. E.
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Interrelation of the Virial Coefficients
The Journal of Chemical Physics, 1968An equation of the form F(T, B, C, D, ···) = 0, in which the temperature T is the only independent variable, is presented to interrelate the virial coefficients, B, C, D, ···, which are functions of temperature only. The equation is derived from the experimental observation that temperature and density are linearly related at unit compressibility ...
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Second Virial Coefficient of Polar Gases
The Physics of Fluids, 1962The theoretical expressions for the second virial coefficient, B(T), are derived for the (18–6-3) Stockmayer potential Φ(r)=4ε[(σr)18−(σr)6]−μ2r3g(θ1,θ2,φ),where g(θ1, θ2, φ) = 2 cos θ1 cos θ2 − sin θ1 sin θ2 cos φ, and also according to the (28–7-3) potential.
Saxena, S. C., Joshi, K. M.
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Second virial coefficient of vapors
Journal of Engineering Physics, 1985An expression is offered for calculation of the second virial coefficient of vapors of nonassociative materials and their mixtures.
L. P. Filippov +2 more
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On the computation of third virial coefficients
Computer Physics Communications, 1972Abstract This note presents an efficient and fast method for evaluating the third virial coefficient for radially symmetric two-body potential functions. The computational method uses a list processing scheme based on a proper multidimensional integration formula and is considerably superior to the traditional methods based on product one dimensional
C.H.J. Johnson, T.H. Spurling
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Second virial coefficient for directed manifolds
Physical Review A, 1991The second virial coefficient for a D-dimensional polymerized manifold with only mutual repulsive interaction for the same internal D coordinate has been calculated using the perturbative renormalization-group method. This can be carried out to all orders of the perturbative expansion for this model.
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Negative Third Virial Coefficients of Methanol
The Journal of Chemical Physics, 1971Abstract not available.
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GENERAL FORMULA FOR THE SECOND VIRIAL COEFFICIENT
Canadian Journal of Physics, 1961A simple derivation is given of the quantum mechanical expression for the second virial coefficient in terms of the scattering phase shifts. The derivation does not require the introduction of a quantization volume and is based on the identity R(z)−R0(z) = R0(z)H1R(z), where R0(z) and R(z) are the resolvent operators corresponding to the unperturbed ...
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Virial Coefficients and Equations of State for Hard Polyhedron Fluids.
Langmuir, 2017M. E. Irrgang +5 more
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Nonadditive three-body potential and third to eighth virial coefficients of carbon dioxide.
Journal of Chemical Physics, 2017R. Hellmann
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