Fifth virial coefficient for the lennard-jones fluid in two dimensions. Integral-equation results

1980 ◽  
Vol 76 ◽  
pp. 812 ◽  
Author(s):  
Julio G. Briano ◽  
Eduardo D. Glandt
Keyword(s):  
Integral Equation ◽  
Virial Coefficient ◽  
Two Dimensions ◽  
Lennard Jones

Theory of Electron Diffraction by Crystals

1967 ◽  
Vol 22 (4) ◽  
pp. 422-431 ◽  
Author(s):  
Kyozaburo Kambe
Keyword(s):  
Integral Equation ◽  
Electron Diffraction ◽  
General Theory ◽  
Green’S Function ◽  
Green's Function ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Two Dimensions ◽  
The Third ◽  
Third Dimension

A general theory of electron diffraction by crystals is developed. The crystals are assumed to be infinitely extended in two dimensions and finite in the third dimension. For the scattering problem by this structure two-dimensionally expanded forms of GREEN’S function and integral equation are at first derived, and combined in single three-dimensional forms. EWALD’S method is applied to sum up the series for GREEN’S function.

Theoretical Assessment of Compressibility Factor of Gases by Using Second Virial Coefficient

2018 ◽  
Vol 73 (2) ◽  
pp. 121-125
Author(s):  
Bahtiyar A. Mamedov ◽  
Elif Somuncu ◽  
Iskender M. Askerov
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Compressibility Factor ◽  
Analytical Approximation ◽  
Accurate Evaluation ◽  
Numerical Examples ◽  
Lennard Jones ◽  
Theoretical Assessment ◽  
Good Agreement

AbstractWe present a new analytical approximation for determining the compressibility factor of real gases at various temperature values. This algorithm is suitable for the accurate evaluation of the compressibility factor using the second virial coefficient with a Lennard–Jones (12-6) potential. Numerical examples are presented for the gases H2, N2, He, CO2, CH4 and air, and the results are compared with other studies in the literature. Our results showed good agreement with the data in the literature. The consistency of the results demonstrates the effectiveness of our analytical approximation for real gases.

Quantum Mechanical Second Virial Coefficient of a Lennard‐Jones Gas. Helium

1969 ◽  
Vol 50 (9) ◽  
pp. 4034-4055 ◽  
Author(s):  
M. E. Boyd ◽  
S. Y. Larsen ◽  
J. E. Kilpatrick
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Quantum Mechanical ◽  
Lennard Jones

scholarly journals Sharpening of Observational Data in Two Dimensions

1955 ◽  
Vol 8 (1) ◽  
pp. 30 ◽  
Author(s):  
EJ Burr
Keyword(s):  
Integral Equation ◽  
Observational Data ◽  
Two Dimensions ◽  
True Distribution

Distributions in two dimensions as measured are always blurred or smoothed by limitations in the observing technique. Recovery of the true distribution involves the solution of an integral equation of the form where the functions g, h are known from observation

A critical behavior of the Lennard–Jones dimeric fluid in two-dimensions.

2011 ◽  
Vol 605 (13-14) ◽  
pp. 1219-1223 ◽  
Author(s):  
W. Rżysko ◽  
M. Borówko
Keyword(s):  
Critical Behavior ◽  
Two Dimensions ◽  
Lennard Jones
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