Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

A Simple Method for Complex Monomer Creation in the Matrix Method for the Statistics and Thermodynamics of a Confined Polymer Chain

Published

Author(s)

Charles M. Guttman, Chad R. Snyder, Edmund A. DiMarzio

Abstract

We extend earlier work that gave exact results for the thermodynamics and size parameters of a confined polymer to the case where the monomers have complex structure. The only restriction on the complex monomers is that they be composed of a linear sequence of sub-monomers, each of which occupies one site on the lattice. The complex monomers can contain both rigid and flexible parts. For ease of understanding, we first treat the case of a square (2-d) lattice. Then the cubic lattice (3-d) is treated. As before the confining walls can be both chemically and physically rough, the attraction energy of sub-monomers for the lattice sites can be different for each lattice site, and importantly can be different for each sub-monomer. There is no restriction on the number of, or the linear sequencing of, the chemically different complex monomers that constitute a polymer chain. Our results have application to a confined polymer in solution as found in polymer chromatography as well as to adsorption/absorption of polymers onto/into nano-particles.
Citation
Macromolecules
Volume
48
Issue
3

Keywords

chromatography, diffusion, nanoparticles, polymer adsorption, polymer confinement, random walk, semiconducting polymers

Citation

Guttman, C. , Snyder, C. and DiMarzio, E. (2015), A Simple Method for Complex Monomer Creation in the Matrix Method for the Statistics and Thermodynamics of a Confined Polymer Chain, Macromolecules, [online], https://doi.org/10.1021/ma502066w (Accessed June 16, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created January 21, 2015, Updated November 10, 2018