The Calculation, Representation and Analysis of Molecular Fields

Author(s):  
P. W. Finn
Keyword(s):  

The investigation of a preceding paper has shown that the temperature variation of viscosity, as determined experimentally, can be satisfactorily explained in many gases on the assumption that the repulsive and attractive parts of the molecular field are each according to an inverse power of the distance. In some cases, in argon, for example, it was further shown that the experimental facts can be explained by more than one molecular model, from which we inferred that viscosity results alone are insufficient to determine precisely the nature of molecular fields. The object of the present paper is to ascertain whether a molecular model of the same type will also explain available experimental data concerning the equation of state of a gas, and if so, whether the results so obtained, when taken in conjunction with those obtained from viscosity, will definitely fix the molecular field. Such an investigation is made possible by the elaborate analysis by Kamerlingh Onnes of the observational material. He has expressed the results in the form of an empirical equation of state of the type pv = A + B/ v + C/ v 2 + D/ v 4 + E/ v 6 + F/ v 8 , where the coefficients A ... F, called by him virial coefficients , are determined as functions of the temperature to fit the observations. Now it is possible by various methods to obtain a theoretical expression for B as a function of the temperature and a strict comparison can then be made between theory and experiment. Unfortunately the solution for B, although applicable to any molecular model of spherical symmetry, is purely formal and contains an integral which can be evaluated only in special cases. This has been done up to now for only two simple models, viz., a van der Waals molecule, and a molecule repelling according to an inverse power law (without attraction), but it is shown in this paper that it can also be evaluated in the case of the model, which was successful in explaining viscosity results. As the two other models just mentioned are particular cases of this, the appropriate formulæ for B are easily deduced from the general one given here.


2005 ◽  
pp. 139-214 ◽  
Author(s):  
Chris P. Search ◽  
Pierre Meystre

2010 ◽  
Vol 943 (1-3) ◽  
pp. 83-89 ◽  
Author(s):  
Sofie Van Damme ◽  
Patrick Bultinck

1974 ◽  
Vol 14 (8) ◽  
pp. 795-798 ◽  
Author(s):  
I. Vincze ◽  
I.A. Campbell

2009 ◽  
Vol 28 (6-7) ◽  
pp. 637-644 ◽  
Author(s):  
Ruchi R. Mittal ◽  
Ross A. McKinnon ◽  
Michael J. Sorich

1969 ◽  
Vol 178 (1) ◽  
pp. 403-412 ◽  
Author(s):  
James S. Marsh
Keyword(s):  

2014 ◽  
Vol 29 (3) ◽  
pp. 233-247 ◽  
Author(s):  
Gleb V. Sitnikov ◽  
Nelly I. Zhokhova ◽  
Yury A. Ustynyuk ◽  
Alexandre Varnek ◽  
Igor I. Baskin
Keyword(s):  

2011 ◽  
Vol 2011 ◽  
pp. 1-5
Author(s):  
Alka Bali

A series of quinoline-based agents with CNS activity have been analyzed for their three-dimensional similarity with respect to a set of standard atypical antipsychotics. The method aligns the molecules based on their molecular fields represented as local extrema of electrostatic, van der Waals, and hydrophobic potentials of the molecule termed “field points.” The compounds in the series were found to demonstrate relatively lesser 3D similarity to the dibenzodiazepine derivative clozapine. Similarity values were higher with respect to extended chain compounds ketanserin, ziprasidone, and risperidone. The results obtained were found to agree with the physicochemical similarity of the compounds reported earlier.


2020 ◽  
Vol 47 (8) ◽  
pp. 6207-6216
Author(s):  
Mohsen Safaei ◽  
Gholam-Reza Mobini ◽  
Ardavan Abiri ◽  
Ali Shojaeian

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