Determination of the Hansen solubility parameters of carbon nano-onions and prediction of their dispersibility in organic solvents

Towards a framework for evaluating and reporting Hansen solubility parameters: applications to particle dispersions

“…Using the known solubility parameters of "N" solvents, a numerical method is applied to find an extremum of an objective function (or a fitness function) in a three-dimensional space, which is essentially solving for the coordinates and radius of the Hansen sphere. For HSP calculations, algorithms such as Nelder-Mead Simplex, 19,20 genetic algorithms, 21,22 among others, can be employed for optimization routines as custom scripts or implemented through widely used software tools like HSPiP, [23][24][25][26][27][28][29][30][31][32] or Microsoft® Excel sheets. 33 Regardless of the numerical method, a fitness function of the form as shown in Equation 3( , , , 0 ) can be written.…”

Carbon Nanomaterials: Synthesis, Functionalization and Sensing Applications

“…Similarly to fullerenes also pristine CNOs show different solubility in polar, non-polar, protic and aprotic solvents [131]. The different behavior respect to solvents can be explained through their capability to be good proton acceptors as in the case of N-N-dimethylformamide.…”

Soft-chemistry synthesis, solubility and interlayer spacing of carbon nano-onions

“…These gures are determined involving different mathematical algorithms aiming to an optimization data tting. 72 Hansen claimed that the solubility can be predicted by the Relative Energy Difference (RED) on the rule of "similarity matching", which is plotted as eqn (9) 76…”