Modeling the role of supramolecular clustering in multivalent assembly

Area of Science:

• Supramolecular chemistry
• Polymer physics
• Materials science

Background:

• Multivalent interfaces utilize multiple weak interactions for strong, reversible binding.
• Current models often assume independent binding pairs, neglecting neighbor effects.

Purpose of the Study:

• Investigate the impact of clustering on binding thermodynamics in self-assembled systems.
• Explore how polymer chain entropy influences cluster formation and size.
• Provide theoretical insights into multivalent self-assembly beyond independent binding models.

Main Methods:

• Developed analytical and numerical models for end-functionalized polymer brushes.
• Analyzed the thermodynamics of binding considering cluster formation.
• Investigated the role of polymer chain entropy in controlling cluster size.

Main Results:

• Demonstrated that binding pairs are not always independent, leading to cluster formation.
• Showed that binding enthalpy depends only on cluster size, not total valency, within the melting window.
• Predicted significant clustering even with weak intermolecular interactions.

Conclusions:

• Clustering significantly impacts multivalent self-assembly, affecting binding thermodynamics.
• Polymer chain entropy offers a tunable mechanism to control cluster size.
• Findings provide theoretical support for experimental observations and guide future self-assembly designs.