Polarity Solubility parameters

3 CHARACTERIZATION AND CLASSIFICATION METHODS 2.3.1 Polarity Solubility parameters 

Clearly, an objective and quantitative measure for the polarity of compounds of chromatographic interest is needed. Such a quantitative measure may be found in the solubility parameter introduced by Hildebrand [206]. The solubility parameter is defined as the square root of the cohesive energy density (c)  

The solubility parameter is commonly expressed in units of cal1/2cm 3/2. One such unit corresponds to 2.05 103 Pa,/2. In the remainder of this book, the units of the solubility parameter will usually be omitted for reasons of convenience. 

In table 2.2 values are given for a variety of materials, including both typical solvents and typical stationary phases. The inclusion of the latter involves some rigorous assumptions, because the simple definition above (eqn.2.1) bears no relevance for solid adsorbents. Nevertheless, by looking at table 2.2 the usefulness of the solubility parameter as a quantity to describe polarity in quantitative terms becomes instantly apparent. The 

Some examples of solubility parameters for compounds of chromatographic interest 

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As a matter of convenience. Van Krevelen suggests that the dispersion and polar solubility parameter terms be rolled together into a van der Waals term, <5,v, such that... 

Later Helpinstill and Van Winkle (28) suggested that Equation 13 is improved by considering the small polar solubility parameter of the hydrocarbon (olefins and aromatics) ... 

There are two PSP schemes, the s and the o-scheme. The two schemes have identical hydrogen bonding parameters but they differ in the way they partition the non-hydrogen-bonding interactions of the molecule. In the s-scheme this partitioning leads to the dispersion, and polar, Sp PSP, which are equivalent to the more familiar Hansen s dispersion solubility parameter, 5j, and polar solubility parameter, 5, respectively [25], In the o-scheme the partitioning leads to the van der Waals, o, and polarity/polarizability, o PSP. The van der Waals PSP is, simply, the weak van der Waals energy density ... 

The minimum in fractal dimension is mainly due to the polar contribution of the solubility Hildebrand parameter. This can be proved by the reproducibility of the minimum when the polar solubility parameter of Hansen is used, while no correlation between fractal dimension and the dispersive or hydrogen bond Hansen parameters can be found [69]. Moreover a similar tendency, but oppositely now showing a maximum, can hold for the glass transition temperature of the resulting membrane [67], as shown in Figure 5.9 with a very similar extremal Hildebrand parameter. The maximum glass transition temperature, or minimum fractal dimension, appears at a solvent Hildebrand parameter that very finely estimates that of the polymer. 

Taken together, these solvent-solute interactions make up the solvent polarity, which is represented well by Hildebrand s solubility parameter (1950). 

When more than routine water resistance is required, a copolymer vinyl acetate emulsion can be used. The plasticizing comonomer in the polymer particles increases their intrinsic coalescing ability thus, they can coalesce more readily than homopolymer particles to a film that has a higher resistance to water. This resistance to water does not extend to the organic solvents, however, which are better resisted by homopolymer films. The soft copolymers have lower solubility parameters than homopolymers and are more readily attacked by solvents of low polarity, eg, hydrocarbons. 

When viscometric measurements of ECH homopolymer fractions were obtained in benzene, the nonperturbed dimensions and the steric hindrance parameter were calculated (24). Erom experimental data collected on polymer solubiUty in 39 solvents and intrinsic viscosity measurements in 19 solvents, Hansen (30) model parameters, 5 and 5 could be deterrnined (24). The notation 5 symbolizes the dispersion forces or nonpolar interactions 5 a representation of the sum of 8 (polar interactions) and 8 (hydrogen bonding interactions). The homopolymer is soluble in solvents that have solubility parameters 6 > 7.9, 6 > 5.5, and 0.2 < <5.0 (31). SolubiUty was also determined using a method (32) in which 8 represents the solubiUty parameter... 

Table 5.5 Solubility parameters and partial polarities (P) of some common solvents...

As already mentioned molecules cohere because of the presence of one or more of four types of forces, namely dispersion, dipole, induction and hydrogen bonding forces. In the case of aliphatic hydrocarbons the dispersion forces predominate. Many polymers and solvents, however, are said to be polar because they contain dipoles and these can enhance the total intermolecular attraction. It is generally considered that for solubility in such cases both the solubility parameter and the degree of polarity should match. This latter quality is usually expressed in terms of partial polarity which expresses the fraction of total forces due to the dipole bonds. Some figures for partial polarities of solvents are given in Table 5.5 but there is a serious lack of quantitative data on polymer partial polarities. At the present time a comparison of polarities has to be made on a commonsense rather than a quantitative approach. 

Of particular interest is the fact that two plasticisers of similar molecular weight and solubility parameter can, when blended with polymers, lead to compounds of greatly differing properties. Many explanations have been offered of which the most widely quoted are the polar theory and the hydrogen bonding theory. 

As pointed out earlier, acrylics differ from the commonly used rubber precursors for PSA formulation in the fact that they often incorporate polar monomers, such as acrylic acid, A-vinyl pyrrolidone, vinyl acetate, or acrylamide. As a result, the solubility parameters of acrylic polymers are typically higher than those of rubbers, like polyisoprenes or polybutadienes. 

In emulsion polymerization, NBR with acrylonitrile content between 15 and 50% can be obtained. The increase in the acrylonitrile content in the NBR produces an increase in the polar nature and solubility parameter in the copolymer [12]. Furthermore, the increase in acrylonitrile content improves the resistance to oils and also increases the glass transition temperature of the copolymers from -60 to-lO C. 

The morphology of a typical urethane adhesive was previously shown in Fig. 3. The continuous phase usually comprises the largest part of the adhesive, and the adhesion characteristics of the urethane are usually controlled by this phase. From a chemical standpoint, this continuous phase is usually comprised of the polyol and the small amount of isocyanate needed to react the polyol chain ends. A wide variety of polyols is commercially available. A few of the polyols most commonly used in urethane adhesives are shown in Table 2. As a first approximation, assuming a properly prepared bonding surface, it is wise to try to match the solubility parameters of the continuous phase with that of the substrate to be bonded. The adhesion properties of the urethane are controlled to a great extent by the continuous phase. Adhesion to medium polarity plastics, such as... 

There have been many attempts to divide the overall solubility parameter into components corresponding to the several intermolecular forces. For example, a so-called three-dimensional solubility parameter concept is built on the assumption that the ced is an additive function of contributions from dispersion (d), polar (p), and H-bonding (h) forces. It follows that... 

Strictly speaking Eq. (8-51) should be applied only to reacting systems whose molecular properties are consistent with the assumptions of regular solution theory. This essentially restricts the approach to the reactions of nonpolar species in nonpolar solvents. Even in these systems, which we recall do not exhibit a marked solvent dependence, correlations with tend to be poor. - pp Nevertheless, the solubility parameter and its partitioning into dispersion, polar, and H-bonding components provide some insight into solvent behavior that is different from the information given by other properties such as those in Tables 8-2 and 8-3. 

Where, 5 is defined as the solubility parameter of the solvent. So, 8p and 8h are the dispersion, polar, and H-bonding forces, respectively. A homogenous mixture of polar solvents can also be used as the continuous phase. In this case, the solubility parameter of the homogeneous mixture is calculated according to the following expression [89] ... 

Paine et al. [85] extensively studied the effect of solvent in the dispersion polymerization of styrene in the polar media. In their study, the dispersion polymerization of styrene was carried out by changing the dispersion medium. They used hydroxypropyl cellulose (HPC) as the stabilizer and its concentration was fixed to 1.5% within a series of -alcohols tried as the dispersion media. The particle size increased from only 2.0 /itm in methanol to about 8.3 /itm in pentanol, and then decreased back to 1 ixm in octadecanol. The particle size values plotted against the Hansen solubility parameters... 

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