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Bulletin of the Korean Chemical Society (BKCS)

ISSN 0253-2964(Print)
ISSN 1229-5949(Online)
Volume 30, Number 9
BKCSDE 30(9)
September 20, 2009 

Thermal Behavior of Critical Micelle Concentration from the Standpoint of Flory-Huggins Model
Kyung Hee Lim
Critical micelle concentration, Thermal behavior, Flory-Huggins model, Lattice theory, Heat capacity change of micellization
Temperature dependence of the critical micelle concentration (CMC), xCMC, in micellization can be described by ln xCMC = A + BT + C lnT + 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 of 2 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 ln xCMC = A + BT + C lnT + 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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