Molecular Based Modeling of Associating Fluids via Calculation of Wertheim Cluster Integrals

2010 ◽  
Vol 114 (35) ◽  
pp. 11515-11524 ◽  
Author(s):  
Hye Min Kim ◽  
Andrew J. Schultz ◽  
David A. Kofke

1997 ◽  
Vol 90 (5) ◽  
pp. 759-771 ◽  
Author(s):  
CHAD SEGURA ◽  
WALTER CHAPMAN ◽  
KESHAWA SHUKLA


1997 ◽  
Vol 91 (4) ◽  
pp. 625-634 ◽  
Author(s):  
GERARDO OROZCO ◽  
OREST PIZIO ◽  
STEFAN SOKOLOWSKI ◽  
ANDRIJ TROKHYMCHUK


2001 ◽  
Vol 99 (5) ◽  
pp. 435-441 ◽  
Author(s):  
JIŘÍ JANEČEK ◽  
TOMÁŠ BOUBLÍK


AIChE Journal ◽  
1991 ◽  
Vol 37 (12) ◽  
pp. 1875-1894 ◽  
Author(s):  
Ioannis G. Economou ◽  
Marc D. Donohue
Keyword(s):  


1969 ◽  
Vol 22 (8) ◽  
pp. 1649 ◽  
Author(s):  
JR Urwin

Binary cluster integrals or excluded volumes for chemically different segment pairs in block copolymers of poly(isoprene : styrene) have been calculated from the equation derived by Froelich and Benoit for a two- sequence block copolymer. Expansion factors have been recalculated assuming a linear relation for [η]θ with respect to composition employing published values for polystyrene and polyisoprene. The results are discussed in relation to possible conformations of block copolymers.



The fifth virial coefficient of a fluid of hard spheres is a sum of 238 irreducible cluster integrals of 10 different types. The values of 5 of these types (152 integrals) are obtained analytically, the contributions of a further 4 types (85 integrals) are obtained by a com­bination of analytical and numerical integration, and 1 integral is calculated by an approximation. The result is E = (0·1093 ± 0·0007) b 4 , b = 2/3 πN A σ 3 , where σ is the diameter of a sphere. A combination of the values of 237 of the cluster integrals obtained in this paper with the value of one integral obtained independently by Katsura & Abe from a Monte Carlo calculation yields E = (0·1101 ± 0·0003) b 4 .



Author(s):  
Małgorzata Borówko ◽  
Stefan Sokołowski ◽  
Orest Pizio
Keyword(s):  


2018 ◽  
Vol 23 (2(32)) ◽  
pp. 101-109
Author(s):  
С. Ю. Ушкац ◽  
М. В. Ушкац ◽  
А. Н. Алексеев


1994 ◽  
Vol 101 (4) ◽  
pp. 3147-3156 ◽  
Author(s):  
N. A. Busch ◽  
M. S. Wertheim ◽  
Y. C. Chiew ◽  
M. L. Yarmush


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