Hansen Solubility Parameters for Directly Dealing with Surface and Interfacial Phenomena

Abstract

To integrate surface and interfacial properties and phenomena into the Hansen solubility parameter (HSP) framework, we propose an equation for estimating both surface tension/energy for liquids and solids as well as interfacial tension/energy. The contact angles of probe liquids on various polymers estimated using the proposed equation based on bulk HSPs (derived from bulk properties such as solubility or swelling, and not on surface properties) are compared with those measured using the sessile drop method. It is found that their correlations are sufficient for predicting wettability in practical use. All the respective tension and energy correlations are reasonably good, confirming the predictive power of the proposed equation for all values of liquid surface tension, solid surface energy, and interfacial tension. The unification of surface and interfacial properties and phenomena with HSPs (derived from bulk properties) enables us to estimate the surface properties from bulk properties and vice versa. The huge database of HSPs is now applicable to not only bulk phenomena but also surface and interfacial phenomena. Furthermore, complex processes or systems composed of multiple constituents and phases can be understood and designed using the modified HSP framework.

Correlation of interfacial tension with density and dielectric constant for binary systems containing water and an organic component

“…Remarkable, there is a bad linear relationship between the γ ow-cal and the γ ow-exp values for ref. 21, with a low correlation coefficient ( R 2 ) of ∼0.668, which suggests that the accuracy of our so-established equation is superior to equation-ref. 21 reported in the literature.…”

“…21, with a low correlation coefficient ( R 2 ) of ∼0.668, which suggests that the accuracy of our so-established equation is superior to equation-ref. 21 reported in the literature. No obvious difference between γ ow-exp and γ ow-cal from the γ ow range of 30 to 60 mN m −1 is exhibited in Fig.…”

“…More recently, Murase et al 21 proposed an equation to correlate the interfacial free energy ( γ 12 ) between two (1 and 2) substances with their solubility parameters ( δ i 1 and δ i 2 ) as follows: γ 12 = 0.0947( δ D1 − δ D2 ) 2 + 0.0314( δ P1 − δ P2 ) 2 + 0.0238( δ H1 − δ H2 ) 2 where δ D1 , δ P1 , and δ H1 [(MPa) 1/2 ] are the dispersion, polar, and hydrogen bonding components, respectively, of the Hansen solubility parameters (HSPs) for substance 1 (liquid or solid) and δ D2 , δ P2 , and δ H2 [(MPa) 1/2 ] are those for substance 2 (liquid, solid, or vapor).…”

Correlations of Surface Free Energy and Solubility Parameter with Dielectric Constant and Density for Inorganic Solids

“…More recently, Murase and Nakamura proposed an equation to correlate the interfacial free energy (γ 12 ) between two (1 and 2) substances with their δ i (δ i 1 and δ i 2 ) as the following: γ 12 = 0.0947 false( δ normald 1 − δ normald 2 false) 2 + 0.0314 false( δ normalp 1 − δ normalp 2 false) 2 + 0.0238 false( δ normalh 1 − δ normalh 2 false) 2 …”

“…The surface free energy (γ) and solubility parameter (δ) are two important characteristic parameters describing physicochemical properties of substances, which are closely related to many colloidal and interfacial phenomena such as dispersion/aggregation, adsorption, adhesion, wetting, and dissolution. − In particular, the characteristic parameters (γ and δ) have been recently widely used to select effective solvents in the fabrication of nanomaterials. − ,− …”