scholarly journals Second virial coefficient for the exponent--spline-Morse-spline-van der Waals potential and its application

2021 ◽  
Author(s):  
E. Somuncu ◽  
B.A. Mamedov
Keyword(s):  
Experimental Data ◽  
Thermal Properties ◽  
Thermodynamic Properties ◽  
Virial Coefficient ◽  
Van Der Waals ◽  
Second Virial Coefficient ◽  
Rare Gases ◽  
Analytical Expression ◽  
Numerical Approaches ◽  
Binomial Function

An analytical expression for the second virial coefficient based on an exponent-spline-Morse-spline-van der Waals (ESMSV) potential is presented here for use in defining the thermodynamic properties of rare gases. Our method is established based on a series expansion of the exponential function, Meijer function, gamma function, binomial function, and hypergeometric function. Numerical approaches have commonly been used for the evaluation of the second virial coefficient with the ESMSV potential in the literature. The general formula obtained here can be applied to estimate the thermal properties of rare gases. Our results for the second virial coefficient based on the ESMSV potential of He-He, He-Ne, He-Ar, and He-Xe rare gases are compared with numerical calculations and experimental data, and it is shown that our analytical expression can be successfully used for other gases.

Parameters of the Bender Equation of State for Chloro Derivatives of Methane and Chlorobenzene

2001 ◽  
Vol 66 (6) ◽  
pp. 833-854 ◽  
Author(s):  
Ivan Cibulka ◽  
Lubomír Hnědkovský ◽  
Květoslav Růžička
Keyword(s):  
Experimental Data ◽  
Equation Of State ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Virial Coefficients ◽  
Liquid Equilibrium ◽  
Second Virial Coefficients ◽  
Equilibrium Data ◽  
State Behaviour ◽  
Derivatives Of

Values of adjustable parameters of the Bender equation of state evaluated for chloromethane, dichloromethane, trichloromethane, tetrachloromethane, and chlorobenzene from published experimental data are presented. Experimental data employed in the evaluation included the data on state behaviour (p-ρ-T) of fluid phases, vapour-liquid equilibrium data (saturated vapour pressures and orthobaric densities), second virial coefficients, and the coordinates of the gas-liquid critical point. The description of second virial coefficient by the equation of state is examined.

THE ELASTIC AND THERMODYNAMIC PROPERTIES OF Lu DOPED ScVO3

2012 ◽  
Vol 26 (31) ◽  
pp. 1250190
Author(s):  
ATAHAR PARVEEN ◽  
N. K. GAUR
Keyword(s):  
Experimental Data ◽  
Thermal Properties ◽  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Specific Heat ◽  
Structural Phase ◽  
Magnetic Ordering ◽  
Structural Phase Transitions ◽  
Lattice Distortions ◽  
Rigid Ion Model

We have investigated the elastic, cohesive and thermal properties of (Lu, Sc) VO 3 and Sc 1-x Lu x VO 3(0.6 ≤ x ≤ 0.9) perovskites by means of a modified rigid ion model (MRIM). The variation of specific heat is determined following the temperature driven structural phase transitions. Also, the effect of lattice distortions on the elastic and thermal properties of the present pure and doped vanadates has been studied by an atomistic approach. The calculated bulk modulus (BT), reststrahlen frequency (ν0), cohesive energy (ϕ), Debye temperature (θD) and Gruneisen parameter (γ) reproduce well with the corresponding experimental data. The specific heat results can further be improved by including the magnetic ordering contributions to the specific heat.

Dependence of the Second Virial Coefficient of Aqueous Solutions of Small Non-Electrolytes on Partial Molar Volume and Molecular Weight of the Solutes

1993 ◽  
Vol 46 (6) ◽  
pp. 929 ◽  
Author(s):  
K Kiyosawa
Keyword(s):  
Aqueous Solution ◽  
Molecular Weight ◽  
Aqueous Solutions ◽  
Molar Volume ◽  
Partial Molar Volume ◽  
Virial Coefficient ◽  
Van Der Waals ◽  
Second Virial Coefficient ◽  
Aqueous Systems ◽  
Quadratic Equations

The osmotic pressures of aqueous solutions of small non-electrolytes, namely ethane-1,2-diol, propane-1,2,3-triol, sucrose and raffinose , were found to be expressible by quadratic equations of the molar concentration, which indicate that these aqueous systems involve no term higher than the second virial coefficient A2. Analysis has shown that A2 mainly does not arise from non-ideality of the aqueous solutions, but its magnitude depends on the partial molar volume of the solute, more precisely on the molecular weight or van der Waals radius or volume of the solute in the aqueous solution.

THERMODYNAMIC PROPERTIES OF IRON-BASED SUPERCONDUCTOR

2011 ◽  
Vol 25 (31) ◽  
pp. 2363-2370
Author(s):  
FANGYING LIANG
Keyword(s):  
Experimental Data ◽  
Thermal Properties ◽  
Thermodynamic Properties ◽  
Time Dependent ◽  
Recent Experimental Data ◽  
Layer Model ◽  
Ginzburg Landau ◽  
Iron Based Superconductors ◽  
Landau Model ◽  
Iron Based

We consider a modified time-dependent Ginzburg-Landau model (TDGL) and layer model of Lawrence–Doniach to study the thermal properties in iron-based superconductors. We try to calculate the specific heat, and obtain some formulae. The expressions will be useful in the discussions of some of the most recent experimental data.

The second virial coefficient of a non-associating gas with anisotropic interactions

1980 ◽  
Vol 45 (9) ◽  
pp. 2375-2383 ◽  
Author(s):  
Miloš Ševčík ◽  
Tomáš Boublík
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Intermolecular Interactions ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Pair Potential ◽  
Lennard Jones ◽  
Different Temperatures ◽  
Anisotropic Interactions ◽  
Experimental Values

The second virial coefficient in systems with permanent and induced multipole interactions was studied by using a statistical-thermodynamics correlation based on the perturbation theory of fluids. Several pair potential combinations of the Lennard-Jones function with different, subsequently more complex anisotropic contributions, were considered; the improvement in the description of intermolecular interactions due to these non-central contributions brought about an improvement in the interpretation of experimental data. The characteristic dependence of the parameters ε/k on σ at different temperatures was obtained for all of the three systems studied (Ar, CH4 and CH3F). It was found that if experimental values of the second virial coefficient of methyl fluoride are correlated by a relation derived from the Stockmayer potential, two sets of the ε/k and σ can be employed.

L'effet de la concentration sur les propriétés thermodynamiques du polyméthacrylate de méthyle en solution

1967 ◽  
Vol 45 (4) ◽  
pp. 409-412 ◽  
Author(s):  
Jacques Léonard ◽  
Hubert Daoust
Keyword(s):  
Experimental Data ◽  
Virial Coefficient ◽  
Polymer Solutions ◽  
Second Virial Coefficient ◽  
Ethylene Dichloride ◽  
Molecular Dimension ◽  
Best Fit

Osmotic pressures of polymethylmethacrylate in solution in ethylene dichloride and in dioxane have been measured at 25 °C for concentrations up to 24%. In both cases, the apparent second virial coefficient, S, increases rapidly with concentration to reach a plateau at approximately 8% in polymer, and then increases monotonically as predicted by the well-known Flory–Huggins theory. The theoretical treatments of Fixman and Yamakawa on moderately concentrated polymer solutions give very good correlations with the experimental data up to the plateau region.However, both theories cannot use the same set of molecular dimension parameters in order to obtain the best fit.

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