Abstract

Here, we study one-component and mixed n-alkyl-poly(ethylene glycol) (CmEn) micelles with varying poly(ethylene glycol) (PEG) chain lengths n using coarse-grained molecular simulations. These nonionic alkyl-PEG surfactants and their aggregates are widely used in bio and chemical technology. As expected, the simulations show that increasing the PEG chain length decreases the alkyl-PEG micelle core diameter and the aggregation number but also enhances PEG chain penetration to the core region and spreads the micelle corona. Both the core and corona density are heavily dependent on the PEG chain length and decrease with increasing PEG length. Furthermore, we find that the alkyl-PEG surfactants exhibit two distinct micellization modes: surfactants with short PEG chains as their hydrophilic heads aggregate with the PEG heads relatively extended. Their aggregation number and the PEG corona density are dictated by the core carbon density. For longer PEG chains, the PEG sterics, that is, the volume occupied by the PEG head group, becomes the critical factor limiting the aggregation. Finally, simulations of binary mixtures of alkyl-PEGs of two different PEG chain lengths show that even in the absence of core-freezing, the surfactants prefer the aggregate size of their single-component solutions with the segregation propelled via enthalpic contributions. The findings, especially as they provide a handle on the density and the density profile of the aggregates, raise attention to effective packing shape as a design factor of micellar systems, for example, drug transport, solubilization, or partitioning.

Highlights

  • Nonionic surfactants, such as n-alkyl-poly(ethylene glycols) component and mixed nalkyl-poly(ethylene glycol) (CmEn), where m is the number of carbon atoms in the alkyl chain and n is the number of oxyethylene units in the alkyl ethoxylate surfactant, have a wide array of applications in detergents, cosmetics, and in industrial processes, especially in agriculture, textile, paper, and oil industries.[1]

  • We find the radius of gyration Rg as the function of the number of poly(ethylene glycol) (PEG) monomers N scales as expected based on ref 26 and report the slope of log(Rg) versus log(N) to be 0.67 with 95% confidence interval (CI) [0.66,0.68] based on linear regression; see Figure S1 in the Supporting Information

  • Lee et al.[25] observed a slight transition in the PEG chain extension with increased molecular weight. They concluded that low-molecular weight PEG chains exhibit an ideal chain-like behavior in aqueous solutions, while longer PEG chains (Mw > 1630 g/mol, which corresponds to approximately 36 PEG monomers) exhibit more random coillike behavior as the radius of gyration approaches the empirically derived relation proposed by Devanand and Selser.[25,47]

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Summary

Introduction

Nonionic surfactants, such as n-alkyl-poly(ethylene glycols) CmEn, where m is the number of carbon atoms in the alkyl chain and n is the number of oxyethylene units in the alkyl ethoxylate surfactant, have a wide array of applications in detergents, cosmetics, and in industrial processes, especially in agriculture, textile, paper, and oil industries.[1] their macromolecular equivalents, block copolymers containing poly(ethylene oxide), have received significant attention, see refs,[2−5] especially because of both their relatively simple chemical structure and biocompatibility that permit their use as drug carriers.[6,7]. CmEn, are especially interesting poly(ethylene glycol) (PEG)-based nonionic surfactants because their aggregation characteristics, in particular micellization, are tunable via modification of the alkyl and ethoxylate chain lengths.

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