solubility parameter, \(\delta\)

https://doi.org/10.1351/goldbook.ST07466
Parameter used in predicting the @[email protected] of non-electrolytes (including polymers) in a given solvent.
For a substance \(\text{B}\), \[\delta _{\text{B}} = \left ( \frac{\Delta _{\text{vap}}E_{\text{m,B}}}{V_{\text{m,B}}} \right )^{1/2}\] where \(\Delta _{\text{vap}}E_{\text{m,B}}\) is the molar energy of vaporization at zero pressure and \(V_{\text{m,B}}\) is the molar volume.
Notes:
  1. For a substance of low @[email protected], the value of the @[email protected] parameter can be estimated most reliably from the @[email protected] of vaporization and the molar volume.
  2. The @[email protected] of a substance B can be related to the square of the difference between the @[email protected] parameters for supercooled liquid B and solvent at a given temperature, with appropriate allowances for @[email protected] of mixing. Thus, a value can be estimated from the @[email protected] of the solid in a series of solvents of known @[email protected] parameter. For a polymer, it is usually taken to be the value of the @[email protected] parameter of the solvent producing the solution with maximum intrinsic @[email protected] or maximum swelling of a @[email protected] of the polymer. See J.H. Hildebrand, R.L.Scott, The @[email protected] of Nonelectrolytes, 3rd ed., Reinhold Publishing (1950); Dover Publications (1964), Chap. VII, p.129; Chap. XXIII, for the original definition, theory, and extensive examples.
  3. The SI units are \(\text{Pa}^{1/2} = \text{J}^{1/2}\ \text{m}^{-3/2}\), but units used frequently are \((\unicode[times]{x3BC}\text{Pa})^{1/2} = (\text{J cm}^{-3})^{1/2}\) or \((\text{cal cm}^{-3})^{1/2}\), where \(1\ (\text{J cm}^{-3})^{1/2} \approx 2.045(\text{cal cm}^{-3})^{1/2}\). The unit @[email protected] is discouraged as obsolete.
Source:
PAC, 2008, 80, 233. (Glossary of terms related to solubility (IUPAC Recommendations 2008)) on page 264 [Terms] [Paper]
This definition replaces an earlier definition of solubility parameter, δ.