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Thermal Behavior of Critical Micelle Concentration from the Standpoint of Flory-Huggins Model

Authors
Lim, Kyung-Hee
Issue Date
Sep-2009
Publisher
WILEY-V C H VERLAG GMBH
Keywords
Critical micelle concentration; Thermal behavior; Flory-Huggins model; Lattice theory; Heat capacity change of micellization
Citation
BULLETIN OF THE KOREAN CHEMICAL SOCIETY, v.30, no.9, pp 2001 - 2006
Pages
6
Journal Title
BULLETIN OF THE KOREAN CHEMICAL SOCIETY
Volume
30
Number
9
Start Page
2001
End Page
2006
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/65207
DOI
10.5012/bkcs.2009.30.9.2001
ISSN
0253-2964
1229-5949
Abstract
Temperature dependence of the critical micelle concentration (CMC), x(CMC), in micellization can be described by In x(CMC) = A + BT + C InT + D/T, which has been derived statistical-mechanically. Here A, B, C, and D are fitting parameters. The equation fits the CMC data better than conventionally used polynomial equations of temperature. Moreover, it yields the unique(exponent) value oft when the CMC is expressed in a power-law form. This finding is quite significant, because it may point to the universality of the thermal behavior of CMC. Hence, in this article the nature of the equation In x(CMC) = A + BT + C InT + D/T is examined from a lattice-theory point of view through the Flory-Huggins model. It is found that a linear behavior of heat capacity change of micellization is responsible for the CMC equation of temperature.
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