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Polymer
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====Mixing behavior==== [[File:LCST-UCST plot.svg|thumb|upright=1.4|Phase diagram of the typical mixing behavior of weakly interacting polymer solutions, showing [[spinodal]] curves and [[binodal]] coexistence curves]] In general, polymeric mixtures are far less [[miscible]] than mixtures of [[small molecule]] materials. This effect results from the fact that the driving force for mixing is usually [[entropy]], not interaction energy. In other words, miscible materials usually form a solution not because their interaction with each other is more favorable than their self-interaction, but because of an increase in entropy and hence free energy associated with increasing the amount of volume available to each component. This increase in entropy scales with the number of particles (or moles) being mixed. Since polymeric molecules are much larger and hence generally have much higher specific volumes than small molecules, the number of molecules involved in a polymeric mixture is far smaller than the number in a small molecule mixture of equal volume. The energetics of mixing, on the other hand, is comparable on a per volume basis for polymeric and small molecule mixtures. This tends to increase the free energy of mixing for polymer solutions and thereby making solvation less favorable, and thereby making the availability of concentrated solutions of polymers far rarer than those of small molecules. Furthermore, the phase behavior of polymer solutions and mixtures is more complex than that of small molecule mixtures. Whereas most small molecule solutions exhibit only an [[upper critical solution temperature]] phase transition (UCST), at which phase separation occurs with cooling, polymer mixtures commonly exhibit a [[lower critical solution temperature]] phase transition (LCST), at which phase separation occurs with heating. In dilute solutions, the properties of the polymer are characterized by the interaction between the solvent and the polymer. In a good solvent, the polymer appears swollen and occupies a large volume. In this scenario, intermolecular forces between the solvent and monomer subunits dominate over intramolecular interactions. In a bad solvent or poor solvent, intramolecular forces dominate and the chain contracts. In the [[theta solvent]], or the state of the polymer solution where the value of the second virial coefficient becomes 0, the intermolecular polymer-solvent repulsion balances exactly the intramolecular monomer-monomer attraction. Under the theta condition (also called the [[Paul J. Flory|Flory]] condition), the polymer behaves like an ideal [[random coil]]. The transition between the states is known as a [[coil–globule transition]].
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