Another look at the interfacial interaction parameter

Abstract

Interfacial energy γ of a liquid-liquid or solid-liquid system is of paramount importance in colloid and interface science and its applications. To assess the dependence of γ on the surface energies γ and γ of two materials in contact, Girifalco and Good proposed their venerable equation involving the interfacial interaction parameter ϕ. Subsequently, values of ϕ have been experimentally determined for various material pairs. Here, we show that, the data of ϕ closely follow a unique relationship ϕ = (1 - γ/γ) for all pairs where the other material is non-polar. Theoretically, this curve describes the smallest possible ϕ. However, we also show that substituting this relationship into the Girifalco-Good equation reduces it to Antonov's rule γ = γ-γ. Such a simplistic approach is inaccurate, and we conclude that the plotting of ϕ vs. γ has contributed to overestimating the applicability of the Girifalco-Good Equation.

Dependence of the Liquid Polarity in the Wetting of Rough Surface: An Effective Surface Tension Approach

“…Equation is suitable for small differences of |γ lv – γ sv |. For large differences, Li et al , proposed a modified Berthelot’s rule ,− by introducing an empirical exponential function that reduces to eq when γ lv and γ sv are closer and avoid discontinuity at large differences. The EQS for interfacial tension is proposed as γ normals normall = γ normall normalv + γ normals normalv − 2 γ normall normalv γ normals normalv normale − β false( γ normall normalv − γ normals normalv false) 2 …”

“…Equation is suitable for small differences of |γ lv – γ sv |. For large differences, Li et al , proposed a modified Berthelot’s rule ,− by introducing an empirical exponential function that reduces to eq when γ lv and γ sv are closer and avoid discontinuity at large differences. The EQS for interfacial tension is proposed as …”

All-Aqueous Bicontinuous Structured Liquid Crystal Emulsion through Intraphase Trapping of Cellulose Nanoparticles

“…49,50 We used the assumption of φ ≈ 1 when γ 12 ≪ γ 1,2 in our calculation, which fits well with the experimental data analysis from Makkonen−Kurkela. 51 The rheological behavior of bicontinuous emulsions were measured with a rheometer (MCR 302, Anton Paar, Germany) using a cylinder (DG 26.7). The viscosity was monitored using increasing shear rates, from 0.01 to 100 s −1 .…”

“…The interfacial tension of the dextran–PEG system (γ 12 ) was estimated by the Good–Girifalco equation ( γ 12 = γ 1 + γ 2 − 2 φ γ 1 γ 2 ), where γ 1 ,γ 2 represent surface tensions of dextran and PEG solutions, respectively, and φ is Good’s interaction parameter. As both phases in a dextran–PEG system are aqueous, the molecular interactions between phases and at their interface are either dipole–dipole (water–water) or hydrogen bond (dextran–water and PEG–water). , We used the assumption of φ ≈ 1 when γ 12 ≪ γ 1,2 in our calculation, which fits well with the experimental data analysis from Makkonen–Kurkela …”

“… 49 , 50 We used the assumption of φ ≈ 1 when γ 12 ≪ γ 1,2 in our calculation, which fits well with the experimental data analysis from Makkonen–Kurkela. 51 …”