The statistical thermodynamics of solutions of non-spherical molecules. I. The thermodynamic functions

1955 ◽  
Vol 229 (1177) ◽  
pp. 271-280 ◽  
Keyword(s):  
Carbon Tetrachloride ◽  
Equation Of State ◽  
Thermodynamic Functions ◽  
Statistical Thermodynamics ◽  
Intermolecular Forces ◽  
Pure Component ◽  
Experimental Results ◽  
Thermodynamics Of Solutions ◽  
Theory And Experiment

The perturbation treatment of the orientational forces between non-spherical molecules proposed by Cook & Rowlinson (1953) is extended to mixtures by using the theory of solutions put forward by Longuet-Higgins (1951). The thermodynamic functions and the equation of state of such mixtures are expressed in terms of the intermolecular forces and the properties of one pure component. Expressions are derived for the excess (or non-ideal) thermodynamic functions which are compared with the experimental results on the four solutions, benzene+ cyclohexane , benzene+carbon tetrachloride, benzene + ethylene dychloride, and cyclohexane + carbon tetrachloride. The agreement between theory and experiment is improved by taking account of the orientational forces.

APPLICATION OF QUASI-LATTICE THEORY TO ALCOHOL – CARBON TETRACHLORIDE SYSTEMS

1963 ◽  
Vol 41 (2) ◽  
pp. 278-286 ◽  
Author(s):  
B. Dacre ◽  
G. C. Benson
Keyword(s):  
Carbon Tetrachloride ◽  
Thermodynamic Functions ◽  
Lattice Theory ◽  
Experimental Results ◽  
Heats Of Mixing ◽  
Excess Thermodynamic Functions

Values of heats of mixing are reported for methanol, n-butanol, and n-octanol with carbon tetrachloride at 25 °C. The experimental results are combined with data from other sources and an analysis of the excess thermodynamic functions for carbon tetrachloride solutions of methanol, ethanol, n-propanol, n-butanol, and n-octanol in terms of Barker's theory of solutions is described. The behavior of these systems can be reproduced fairly well by the Barker model.

scholarly journals On Using the BMCSL Equation of State to Renormalize the Onsager Theory Approach to Modeling Hard Prolate Spheroidal Liquid Crystal Mixtures

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 846
Author(s):  
Donya Ohadi ◽  
David S. Corti ◽  
Mark J. Uline
Keyword(s):  
Equation Of State ◽  
Second Virial Coefficient ◽  
Virial Coefficients ◽  
Pure Component ◽  
Excluded Volume ◽  
Theory Approach ◽  
Prolate Spheroidal ◽  
Empirical Correction ◽  
Prolate Spheroids ◽  
Onsager Theory

Modifications to the traditional Onsager theory for modeling isotropic–nematic phase transitions in hard prolate spheroidal systems are presented. Pure component systems are used to identify the need to update the Lee–Parsons resummation term. The Lee–Parsons resummation term uses the Carnahan–Starling equation of state to approximate higher-order virial coefficients beyond the second virial coefficient employed in Onsager’s original theoretical approach. As more exact ways of calculating the excluded volume of two hard prolate spheroids of a given orientation are used, the division of the excluded volume by eight, which is an empirical correction used in the original Lee–Parsons resummation term, must be replaced by six to yield a better match between the theoretical and simulation results. These modifications are also extended to binary mixtures of hard prolate spheroids using the Boublík–Mansoori–Carnahan–Starling–Leland (BMCSL) equation of state.

Unbalance Response of a Dual Rotor System: Theory and Experiment

1993 ◽  
Vol 115 (4) ◽  
pp. 427-435 ◽  
Author(s):  
K. Gupta ◽  
K. D. Gupta ◽  
K. Athre
Keyword(s):  
System Theory ◽  
Transfer Matrix ◽  
Mode Shape ◽  
Reasonable Agreement ◽  
Complex Variables ◽  
Rotor System ◽  
Experimental Results ◽  
Unbalance Response ◽  
Theoretical Results ◽  
Theory And Experiment

A dual rotor rig is developed and is briefly discussed. The rig is capable of simulating dynamically the two spool aeroengine, though it does not physically resemble the actual aeroengine configuration. Critical speeds, mode shape, and unbalance response are determined experimentally. An extended transfer matrix procedure in complex variables is developed for obtaining unbalance response of dual rotor system. Experimental results obtained are compared with theoretical results and are found to be in reasonable agreement.

scholarly journals Equation of state for polymer liquid crystals: Theory and experiment

1999 ◽  
Vol 59 (1) ◽  
pp. 999-1008 ◽  
Author(s):  
H. H. Strey ◽  
V. A. Parsegian ◽  
R. Podgornik
Keyword(s):  
Liquid Crystals ◽  
Equation Of State ◽  
Polymer Liquid ◽  
Polymer Liquid Crystals ◽  
Theory And Experiment

Pneumatic Mechanism of Gas Cooled or Heated Through a Throttle Orifice

2011 ◽  
Vol 141 ◽  
pp. 408-412 ◽  
Author(s):  
Yao Bao Yin ◽  
Ling Li
Keyword(s):  
Equation Of State ◽  
Total Energy ◽  
Negative Energy ◽  
Experimental Results ◽  
Attractive Force ◽  
Positive Energy ◽  
Real Gas ◽  
Thomson Coefficient ◽  
Theoretical Results ◽  
Conversion Temperature

The mechanism of gas cooled or heated through a pneumatic throttle orifice is analyzed. Supposing the total energy of the gas is constant, if the force between the molecules does positive energy, it makes gas heated; if it does negative energy, it makes gas cooled. The conversion temperature of gas is an evaluation parameter for repulsive or attractive force. It has utilized Joule-Thomson coefficient and real gas equation of state to obtain the characteristics of conversion temperature, and the relationships between the molecules distance and the phenomenon of gas cooled or heated after throttle at normal temperature by the conversion characteristics are achieved. The experimental results agreed well with the theoretical results.

Anisotropy in the Dicke Narrowing of Rotational Raman Lines (A New Measure of the Nonsphericity of Intermolecular Forces)

1972 ◽  
Vol 50 (8) ◽  
pp. 778-782 ◽  
Author(s):  
B. K. Gupta ◽  
S. Hess ◽  
A. D. May
Keyword(s):  
Diffusion Coefficient ◽  
Physical Interpretation ◽  
Anisotropic Diffusion ◽  
Scattered Light ◽  
Intermolecular Forces ◽  
Gaseous Hydrogen ◽  
Experimental Results ◽  
Scattering Angle ◽  
Collision Model

The diffusion coefficient characterizing the Dicke narrowing of the rotational Raman lines, in general, depends on the polarizations of the incident and scattered light and on the scattering angle. Experimental results for the anisotropic diffusion coefficient are presented for 90° scattering and vv and vh polarizations of the S0(1) line in gaseous hydrogen. The physical interpretation of the observed anisotropy is given with the help of a simple collision model.

CPC and SMPS Systems of Monitoring Airborne Nanoparticles-Theory and Experiment

2011 ◽  
Vol 101-102 ◽  
pp. 60-66
Author(s):  
Yi Jui Chiu ◽  
Khai Shoon Leong ◽  
Luh Maan Chang
Keyword(s):  
Experimental Results ◽  
Nano Particles ◽  
Particle Counter ◽  
Condensation Particle Counter ◽  
New Device ◽  
Advantages And Disadvantages ◽  
Mean Diameter ◽  
Airborne Nanoparticles ◽  
Theory And Experiment

The purpose of this paper is to assess technologies used in the monitoring of nano-particles that are available commercially and under research. The goal of the assessment is to propose a new device based on the technologies assessed. The assessment is performed based on information obtained from literatures review of articles and brochures, and from communications with representatives of the manufacturers of the counters. Two types of nano-particles counters were assessed; counters that are currently commercially available are the condensation particle counter (CPC), the scanning mobility particle spectrometer (SMPS). A description of how each counter works is given, and the advantages and disadvantages are highlighted. Experimental results showed that the performance of capillary had been installed and cleaned. The SMPS mean diameter fell within the range of the NIST standard. The sample offered well distribution in 300 and 400 nm.

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