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47016-G7
Modeling Polyelectrolyte Layer-By-Layer Assembly
Qiang Wang, Colorado State University
Our
project is to model the polyelectrolyte (PE) layer-by-layer (LbL) assembly process in order to gain better understanding
and predictions on the structure and properties of polyelectrolyte multilayer
(PEM). In this process, a charged substrate is alternatively exposed to
solutions of polyanions and polycations
to build-up hundreds of thin adsorbed layers of polyions
on the substrate; there is a washing step after each deposition to remove
loosely adsorbed chains, in order to avoid their contamination to the solution
used in the next deposition.
In
this project, we use a numerical self-consistent field theory (SCFT) suitable
for monovalent PE systems, which is based on the
ground-state dominance approximation and non-linear Poisson equation, to model
the sequential LbL assembly process of flexible PE as
a series of kinetically trapped states. While SCFT is an equilibrium theory, we
modify in each washing step the segmental density profile of adsorbed polymers
to mimic the chain re-arrangement and partial desorption, and in subsequent
depositions fix the total segmental density profiles of previously deposited polyanions and polycations to
mimic the irreversibility of PE adsorption. These introduce significant
non-equilibrium effects into our modeling. In fact, we do not find multilayering in the equilibrium adsorption of PE mixtures.
We
have studied the internal structure and charge compensation of PEM formed by strongly
dissociating polyanions and polycations
on flat substrates, and the effects of various parameters affecting the
long-range electrostatic interactions (including the substrate charge density,
polymer charge fractions, bulk salt concentrations) and short-range
interactions (including the solvent qualities and repulsion between polymers)
in the system. For each set of parameters, we calculate the segmental density
profiles of each deposited layer and the corresponding electrostatic potential
profiles without a priori
assumptions, from which we then quantify the internal structure and charge compensation
of PEM by various quantities, including the total segmental density profiles of
deposited polyanions and polycations,
the charge density profiles of polyions and small
ions, the amount of adsorbed polymers in each deposition, the thickness of each
deposited layer and the overall thickness of PEM, the charges carried by
polymers in each layer and the overall charges of PEM, etc.
In
particular, while all theoretical and computational studies on PEM reported to
date are limited to symmetric PE (where the only difference between polyanions and polycations is
that they carry opposite charges), our modeling of multilayers
formed by asymmetric PE (which have different charge fractions, bulk salt
concentrations, or solvent qualities) provides us with more insights into the
internal structure and charge compensation of PEM. We have also studied PEM
formed by weakly dissociating PE, where the charges carried by polymers
(including those already adsorbed in the PEM) change with the local
electrostatic environment and can thus be tuned by solution pH, providing
another convenient way to control the PEM structure and properties. Our
modeling of PE LbL assembly is in good qualitative
agreement with most experiments and molecular dynamics simulations. Many of our
results can also be quantitatively tested in experiments.
Our
results were recently reported in a paper (Q.
Wang, “Internal Structure and Charge Compensation of Polyelectrolyte Multilayers: A Numerical Study”, Soft Matter, in press. DOI:10.1039/B809095E). According
to the referee: “This very nice
manuscript reports the results of a comprehensive, numerical mean-field study
of layer-by-layer polyelectrolyte adsorption. Layer-by-layer assembly has quickly become an important tool for a
variety of materials chemistry applications, and therefore, a careful study,
like this one, of the thermodynamic aspects of this problem provides necessary
insight into the many parameters controlling this non-equlibrium
process.” This work has also been disseminated by the PI through the
following presentations:
·
Q. Wang,
“Layer Thickness and Charge Compensation of Polyelectrolyte Multilayers”,
American Physical Society March Meeting,
New Orleans, LA, March 2008
·
Q. Wang,
“Internal Structure & Charge Compensation of Polyelectrolyte Multilayers”, Gordon
Research Conference on Colloidal, Macromolecular & Polyelectrolyte
Solutions, Ventura, CA, February 2008
·
Q. Wang,
“Internal Structure and Charge Compensation of Polyelectrolyte Multilayers”, Seminar,
Institute of Chemistry, The Chinese Academy of Sciences, Beijing, P. R. China, December
13, 2007
We
are currently continuing our project in the following two directions: (1) Examine
the position-dependent dielectric constant and image-charge effects and (2) Investigate
the PEM formation on spherical colloids and the stability of PEM-coated
colloids against aggregation, as originally planned. This project will help us
better understand the formation mechanism and internal structure of PEM, and
further guide experimental design to obtain PEM with desired properties. This
very first research grant awarded to the PI is also crucial for him to
establish his research group and start his academic career. Furthermore, the
postdoctoral researcher (Ms. Yuhua Yin) has also gained
from her participation in this project lots of fundamental understanding on
polymer physics and numerical modeling techniques. Her work along the second
direction above is in progress and will be published later.
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