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The Hildebrand solubility parameter is the square root of the cohesive energy density: δ = Δ H v − R T V m . {\displaystyle \delta ={\sqrt {\frac {\Delta H_{v}-RT}{V_{m}}}}.} The cohesive energy density is the amount of energy needed to completely remove a unit volume of molecules from their neighbours to infinite separation (an ideal gas ).
The Hildebrand parameter for such non-polar solvents is usually close to the Hansen value. A typical example showing why Hildebrand parameters can be unhelpful is that two solvents, butanol and nitroethane, which have the same Hildebrand parameter, are each incapable of dissolving typical epoxy polymers. Yet a 50:50 mix gives a good solvency ...
Solubility parameter may refer to parameters of solubility: Hildebrand solubility parameter, a numerical estimate of the degree of interaction between materials, and can be a good indication of solubility; Hansen solubility parameters, developed by Charles Hansen as a way of predicting if one material will dissolve in another and form a solution
In addition to over 130 published papers and 8 patents (h-index 25), he authored Hansen Solubility Parameters – A User's Handbook in 1999 followed by an expanded 2nd Edition in 2007. [6] With Abbott and Yamamoto he authored the package of software, eBook, and datasets called Hansen Solubility Parameters in Practice, in 2008 which is currently ...
Hansen shows great respect for Hildebrand and his work and indeed acknowledges that his work of the Hansen solubility parameter would not have been possible without the great contribution that Hildebrand made to this field. Hildebrand was also outspoken on the manner in which small non-polar species exist in water.
The induction parameter q describes the effects of induced dipoles (induced by fixed dipoles). For structures with an aromatic ring the value is set to 0.9, for aliphatic rings and chains this value is set on 1. For some compounds the q-parameter is optimized between 0.9 and 1 (e.g. hexene, octene).
The Hansen solubility parameters and the Hildebrand solubility parameters are empirical methods for the prediction of solubility. It is also possible to predict solubility from other physical constants such as the enthalpy of fusion .
Other parameters accessible by IGC include: heats of sorption [1], adsorption isotherms, [9] energetic heterogeneity profiles, [10] [11] diffusion coefficients, [12] glass transition temperatures [1], [13] Hildebrand [14] [15] and Hansen [16] solubility parameters, and crosslink densities.