HSP Examples: Nanoparticles
It's often said that nanoparticles must have dispersants around them so they don't clump. The HSP view is that it makes sense to say that nanoparticles can be soluble, so dispersants are not necessary if there is a good HSP match between particle and solvent.
A nice example where dispersants are not necessary, and where HSPiP itself was used to measure the HSP and to create new solvent blends via Solvent Optimizer is the paper from the Ulbricht group in U. Essen, Jan U. Wieneke et al, Systematic Investigation of Dispersions of Unmodified Inorganic Nanoparticles in Organic Solvents with Focus on the Hansen Solubility Parameters, Ind. Eng. Chem. Res. 2012, 51, 327–334. Here they measure the HSP of TiO2 and hydroxyapatite (HA) using the classic Sphere test of whether the particles are "happy" or "unhappy" in a solvent - defining happy as remaining well-dispersed after many days.
HSP theory says that you can make new solvents out of mixtures of old ones. The paper confirms that this technique works for these "soluble" nanoparticles. Not all the predictions are perfect, but they can open up new formulation possibilities that might otherwise never be explored. For example, acetonitrile is hopeless for solubilising HA, yet when Solvent Optimizer predictions of an excellent blend with acetone (also a poor solvent) and benzyl alcohol (not tested on its own in the paper but almost certainly a bad solvent) were tested, the blend gave excellent results.
The measured values are: TiO2 = [17.5, 12.7, 8.9] with a relatively small radius of 4 for the Sphere. HA = [17.6, 14, 9.4] with a radius of 3.
The TiO2 HSP are different from the one discussed by Dr Yamamoto on his Pirika TiO2 page which are [15, 15, 5]. In the Hansen Handbook Pigment 1 in Table 7.28 is TiO2 with values (converted to modern units) [23.6, 14.6 19]. There is no surprise at the differences between different grades. Every method of making TiO2 will create a unique surface. What this means is that just as it's illogical to say that "carbon black is readily dispersed in X" without specifiying the carbon black, it is equally wrong to say that "TiO2 is readily dispersed in Y" without doing the measurements. And in terms of quality control of batches of TiO2 it would seem to be a very good idea to have a standard set of solvents that will show whether this batch shows the same solubility profile as the standard. Although it seems odd to be characterising nanoparticles with trivial experiments in a few test tubes, experience shows that you can learn a great deal from these simple tests that is hidden from more sophisticated tests.