Connection between Solubility Parameter Theory and Lattice Theory and the Connection between Solubility Parameters...

Area of Science:

• Physical Chemistry
• Materials Science
• Chemical Engineering

Background:

• Interfacial tensions and solubility parameters are crucial properties in physical chemistry and materials science.
• Previous work by Murase and Nakamura (MN) suggested a correlation between these parameters, but the underlying reasons and limitations were not fully elucidated.
• Understanding this relationship is key to predicting and controlling interfacial phenomena and bulk properties.

Purpose of the Study:

• To demonstrate the fundamental connection between interfacial tensions and solubility parameters using lattice and solution theories.
• To elucidate the theoretical basis for the correlation between these parameters, identifying the necessary conditions for their relationship.
• To explore the implications of this connection on local composition in bulk phases and at interfaces.

Main Methods:

• Application of lattice theory and solution theory to model molecular interactions.
• Theoretical analysis of the ratio of molecular volume to effective surface area of interaction.
• Comparison of theoretical predictions with experimental data and previous correlations (e.g., MN).

Main Results:

• A fundamental link between interfacial tensions and solubility parameters was established, contingent on a constant ratio of molecular volume to effective surface area.
• This constant ratio (approximately 1 × 10⁻⁸ cm) was theoretically derived and found to be consistent with MN's correlation parameter.
• The derived relationship was shown to be applicable to molecules interacting via dispersion forces and explains local composition effects.

Conclusions:

• The correlation between interfacial tensions and solubility parameters is a direct consequence of molecular geometry and interaction physics.
• The findings provide a theoretical framework for understanding and predicting interfacial behavior and bulk properties based on molecular characteristics.
• This work bridges the gap between molecular-level properties and macroscopic phenomena, with implications for various fields including materials design and formulation science.