Isolating Chemical Reaction Mechanism as a Variable with Reactive Coarse-Grained Molecular Dynamics Step-Growth versus Chain-Growth

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Isolating Chemical Reaction Mechanism as a
Variable with Reactive Coarse-Grained Molecular
Dynamics: Step-Growth versus Chain-Growth
Polymerization
John J. Karnes,,Todd H. Weisgraber,Caitlyn C. Cook,Daniel N. Wang,
Jonathan C. Crowhurst,Christina A. Fox,,Bradley S. Harris,James S.
Oakdale,Roland Faller,,and Maxim Shusteff
Lawrence Livermore National Laboratory Livermore, California 94550, United States
Department of Materials Science and Engineering, University of California, Davis, Davis,
California 95616, United States
Department of Chemical Engineering, University of California, Davis, Davis, California
95616, United States
E-mail: karnes@llnl.gov; rfaller@ucdavis.edu
Abstract
We present a general approach to isolate chemical reaction mechanism as an inde-
pendently controllable variable across chemically distinct systems. Modern approaches
to reduce the computational expense of molecular dynamics simulations often group
multiple atoms into a single “coarse-grained” interaction site, which leads to a loss of
chemical resolution. In this work we convert this shortcoming into a feature and use
identical coarse-grained models to represent molecules that share non-reactive charac-
teristics but react by different mechanisms. As a proof of concept we use this approach
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arXiv:2210.01758v1 [cond-mat.mtrl-sci] 4 Oct 2022
to simulate and investigate distinct, yet similar, trifunctional isocyanurate resin formu-
lations that polymerize by either chain- or step-growth. Since the underlying molecular
mechanics of these models are identical, all emergent differences are a function of the
reaction mechanism only. We find that the microscopic morphologies resemble related
all-atom simulations and that simulated mechanical testing reasonably agrees with
experiment.
Introduction
Chemical reaction mechanisms, along with intra- and intermolecular forces and other pro-
cessing conditions, dictate the formation of macromolecular structures and materials from
smaller molecular building blocks. Understanding the contributions of these factors permits
their use as design parameters to control the micro- and macroscopic properties of the re-
sulting new material. However, deconvolution of these factors is often not possible since the
molecular mechanics of reactive sites and reaction mechanism are intertwined.
This directs us toward a general question: Can we isolate chemical reaction mechanism
as an independent variable? This is an open and fundamental question in chemical physics.
While different reaction mechanisms may be compared experimentally,1–3 these approaches
require unavoidable approximations. Computer simulations do not necessarily share this
limitation and can directly address this thought experiment. In this work, we introduce a
new approach that converts a drawback of coarse-grained computer simulations into a key
feature that enables direct comparison of chemically distinct systems, isolating the chemical
reaction mechanism as an independent variable.
In conventional molecular dynamics (MD) simulations each atom is represented by only a
few parameters and equations that reproduce the intra- and intermolecular interaction ener-
gies for a given system. Integration of Newton’s equations of motion then evolves this system
over time. All-atom models and the resulting simulations naturally mesh with physical and
chemical intuition. However, even with increases in computational power, all-atom classical
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MD is still limited in length scale and simulation duration. To loosely quantify, simulating
several 10 nm3boxes of 105atoms, each for hundreds of nanoseconds, taxes the resources
of most researchers. These limitations become more pronounced for high molecular weight
molecules that require both larger simulation boxes and longer simulation times to capture
the correct interactions and dynamics.4,5
Coarse-grained MD (CGMD) approaches that combine multiple atoms into a single rep-
resentative “bead” are a popular approach toward reducing computational expense. Calcu-
lations are accelerated by reducing the number of interaction sites and allowing larger time
steps by removing the fastest motions.6Such techniques have brought on valuable insight
into many fields of soft matter physics, e.g. entangled dynamics in polymer melts, impact
of curvature and surfaces on biomimetic membranes, etc.7–10 Recently CGMD has been ex-
tended to reactive systems for a range of systems, including the simulated polymerization of
poystyrene,11 polyurethane,12 and silica.13 Notably, CGMD polymerization approaches have
been able to capture characteristic features of the resulting materials, reproducing thermo-
mechanical and morphological properties like the self-assembly into micellar structures or
amorphous clusters, depending on simulation conditions.12,13
When atoms are merged or ‘coarse-grained’ into a single representative site, the potential
energy landscape becomes smoother, more simplified.14,15 The identity of reactive functional
groups may disappear when merging individual atoms into beads. We may refer to this as
a ‘loss of chemical resolution.’ In this work, we take advantage of both CGMD’s ability to
simulate crosslinked polymer networks and the accompanying loss of chemical resolution. We
represent chemically distinct monomers with similar intramolecular structures but different
reactive sites with the same coarse-grained model: a ‘universal monomer’ (UM). Despite the
different monomers being represented by precisely the same model, the UM, we preserve the
respective reaction mechanisms native to each monomer species. In practice, we simulate a
box of the ‘universal monomer’ and impart chemical identity by implementing the chemical
reaction mechanism as a modular ‘rule,’ allow the selected reaction to proceed, and ana-
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lyze the resulting material. We then repeat with a new liquid box and different reaction
mechanism. Since the molecular interactions of the monomer models are precisely the same,
all differences in the evolution of the microscopic network and properties of the resulting
materials emerge entirely from the different reaction mechanisms.
This approach toward isolating reaction mechanism as a variable borrows elements from
cellular automata (CA), as defined by Rucker, where a discrete set of elements are each in
a ‘state’ and these elements’ states are updated in parallel using a homogenous and local
‘rule’.16 In our simulations the UM’s reactive sites may be considered as elements in binary
on/off (reacted/unreacted) states and the reaction mechanisms are analogous to CA rules.
There is not a large formalistic distance between these reactive CGMD simulations and
CA simulations of related physical systems17–19 and we regard the present work as a new
approach toward designing reactive CGMD that incorporates the underlying philosophies
of CA and exhibits the same interesting emergent behaviors.16,20–22 By implementing the
reaction mechanism as a ‘rule,’ we may rapidly quantify the resulting polymer’s micro- and
macroscopic properties as a function of polymerization mechanism alone.
The rapidly evolving additive manufacturing (AM) landscape provides a recent exam-
ple where reaction mechanism is used as a design variable. Compare Volumetric Additive
Manufacturing (VAM)23–25 with two-photon polymerization (2PP).26,27 Both approaches ac-
complish three-dimensional (3D) printed structures via photopolymerization. Whereas 2PP
sequentially scans a tightly-focused sub-micron laser focal volume to write a structure in 3D
space, VAM concurrently solidifies all points within a 3D object by illuminating a rotating
volume of photosensitive resin with a dynamically evolving light pattern.24 These techniques
use vastly different irradiation times: a few nanoseconds of femtosecond pulses in 2PP and
minutes of illumination in VAM. Techniques like 2PP are enabled by the fast reaction kinetics
of multi-functional acrylate resins, and nascent techniques like VAM naturally borrow feed-
stocks from more mature AM technologies like 2PP during the development phase. However,
the longer irradiation time of VAM allows using resins with slow kinetics, thus enabling ex-
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ploration of new chemistries. Since reaction mechanism profoundly effects the printed part’s
material properties, chemical reaction mechanism becomes a design parameter.3In this work,
Cook et. al. successfully replaced the pendant acrylate groups in their photoresin with thiol
and alkene functionalities, effectively switching the reaction mechanism within their VAM
instrument from radical-initiated chain-growth to a radical step-growth ‘click’ chemistry.3
Swapping the functional groups thus resulted in more mechanically-robust printed parts by
photopolymerization-based additive manufacturing.
We select this use case as proof-of-concept to demonstrate our new computational ap-
proach and show that computer simulations are well-positioned to rapidly explore this design
space and avoid lengthy and costly formulate-cure-test development cycles. Our work be-
gins with the same three trifunctional isocyanurate monomers used by Cook et al. and uses
the UM approach to isolate differences that emerge from changes in reaction mechanism
and resulting microscopic network topologies. This isolation is possible since the UM ap-
proach ignores differences in the monomers’ molecular mechanics introduced by the different
functional groups.
Many contemporary polymer simulations focus on a specific polymer or class of poly-
mers,28–32 and we use similar analytical approaches to investigate and validate the work
presented here. However, the methodology we introduce with the UM approach is more
closely related to studies where researchers systematically disabled components of MD force
fields. For example, one sets partial charges of a molecule or chemical moiety to zero to
quantify the contribution of electrostatic interactions to local intermolecular ordering, struc-
ture, and dynamics.32,33 Gissinger and co-workers disabled chain-chain linking in reactive
all-atom MD simulations of styrene, resulting in polystyrenes with polydispersity and cyclic
structures unlike that of the experimental system.34 Although nonphysical, this in silico
deconstruction reveals the contributions of force field components to emergent physical and
chemical properties.
In the remainder of this work we provide a detailed overview of the UM approach but
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摘要:

IsolatingChemicalReactionMechanismasaVariablewithReactiveCoarse-GrainedMolecularDynamics:Step-GrowthversusChain-GrowthPolymerizationJohnJ.Karnes,,yToddH.Weisgraber,yCaitlynC.Cook,yDanielN.Wang,yJonathanC.Crowhurst,yChristinaA.Fox,y,zBradleyS.Harris,{JamesS.Oakdale,yRolandFaller,,{andMaximShuste yy...

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