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Updated: Feb 8, 2026

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy
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Another look at the interfacial interaction parameter.

Lasse Makkonen1, Juha Kurkela1

  • 1VTT Technical Research Centre of Finland, Espoo 02044 VTT, Finland.

Journal of Colloid and Interface Science
|June 16, 2018
PubMed
Summary
This summary is machine-generated.

The Girifalco-Good equation for interfacial energy is often overestimated. A new analysis reveals that plotting the interfacial interaction parameter (ϕ) versus interfacial energy (γ1,2) simplifies incorrectly to Antonov

Keywords:
Equation of stateGirifalco-Good equationInterfacial energyInterfacial interaction parameterInterfacial tension

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Area of Science:

  • Colloid and interface science
  • Materials science
  • Physical chemistry

Background:

  • Interfacial energy (γ1,2) is crucial for liquid-liquid and solid-liquid systems.
  • The Girifalco-Good equation relates interfacial energy to surface energies (γ1, γ2) using an interaction parameter (ϕ).
  • Experimental data for ϕ exist for various material pairs.

Purpose of the Study:

  • To analyze the relationship between the interfacial interaction parameter (ϕ) and interfacial energy (γ1,2).
  • To re-evaluate the applicability of the Girifalco-Good equation based on experimental data.
  • To investigate the simplification of the Girifalco-Good equation under specific conditions.

Main Methods:

  • Analysis of existing experimental data for interfacial interaction parameter (ϕ).
  • Mathematical derivation by substituting a proposed relationship into the Girifalco-Good equation.
  • Comparison of derived results with established interfacial energy rules.

Main Results:

  • Experimental data for ϕ follow a unique relationship with interfacial energy (γ1,2) for non-polar systems: ϕ = (1 - γ1,2/γ1)½.
  • This relationship theoretically represents the minimum possible value for ϕ.
  • Substituting this into the Girifalco-Good equation incorrectly reduces it to Antonov's rule (γ1,2 = γ1 - γ2).

Conclusions:

  • The plotting of ϕ vs. γ1,2 can lead to an overestimation of the Girifalco-Good equation's applicability.
  • Antonov's rule is an oversimplification when applied through this specific data plotting method.
  • A more nuanced understanding of interfacial interactions is needed beyond simplistic equation reductions.