Hansen’s Parameters

Using the Hansen approach, the solubility of any polymer in solvents (with known Hansen s parameters of polymer and solvents) can be predicted. The determination of polymer parameters requires evaluation of solubility in a great number of solvents with known values of Hansen parameters. Arbitrary criteria of determination are used because Hansen made no attempts of precise calculations of thermodynamic parameters. 

Results of ealeulations using Eq. [4.1.44] of three-dimension dualistie model eoineide with the experimental values of %h nd the %h values ealeulated by other methods. Values A, D, and S ean been obtained from IR-speetroseopy evaluations and Hansen s parameters.Values of the TDM parameters are presented in Tables 4.1.3, 4.1.4. It should be noted that Hansen parameters are used for estimation of values of TDM parameters from equation 5, -t S" = 5 Si = A. ... 

In Table 5.3.5, the increments required to account for contributions to solubility parameters related to the dipole-dipole interactions and hydrogen bonds are presented." Table 5.3.6 contains Hansen s parameters for some common functional groups. 

The solubility parameters (including Hansen s parameters) for selected polymers and plasticizers can be found in Tables 6.2 and 6.3. A further discussion of the Hansen methods is included in Chapter 5. 

Figure 2.6 Diagrammatic representation of a polymer solubility plot based on Hansen s parameter system. The dotted circles represent projections of the sphere of solubility . A specific example of these projections is shown in Figure 2.7.

In accordance to the approach of Blanks and Prausnitz, the solubility area is displayed as a plane with two coordinates, The parameters are related to Hansen s parameters by... 

In addition to the above methods, 82 of polymer can be determined from a threshold of sedimentation and by critical opalescence. In recent years the method of inverse gas-liquid chromatography has been used to evaluate 83 of polymers, including Hansen s parameters." " One may also use some empirical ratios relating solubihty parameters of polymers with some of their physical properties, such as, surface tension" " and glass transition temperature." ... 

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