Hildebrand and Hansen solubility parameters are commonly used to identify suitable solvents for the dispersion or dissolution of a range of solutes, from small molecules to graphene. This practice is based on a number of equations which predict the enthalpy of mixing to be minimized when the solubility parameters of solvent and solute match. However, such equations have only been rigorously der...

The introduction of organic solvents into an inductively coupled plasma (ICP) has been studied. Limiting aspiration rates for various organic solvents were determined for a Hildebrand nebuliser with a mini-Pyrex spray chamber, a cooled Pyrex spray chamber and a large Pyrex spray chamber. Detection limits for metal species were determined. Linear dynamic ranges were found to be at least 3-4 orde...

There is a large literature on the asymptotic distribution of numbers free of large prime factors, so-called smooth or friable numbers. But there is very little known about this distribution that is numerically explicit. In this paper we follow the general plan for the saddle point argument of Hildebrand and Tenenbaum, giving explicit and fairly tight intervals in which the true count lies. We ...

The aggregation and solubility of asphaltenes are studied by classical molecular dynamics simulations. Average three-dimensional atomistic models are built on the basis of experimental data for the asphaltenes from a series of crude oil samples. The simulation of two such asphaltene models in four different solvents puts into evidence the formation of oligomeric clusters and gives clues to the ...