Soft Matter,
Journal Year:
2023,
Volume and Issue:
19(5), P. 858 - 881
Published: Jan. 1, 2023
Geometric
frustration
offers
a
pathway
to
soft
matter
self-assembly
with
controllable
finite
sizes.
While
the
understanding
of
in
assembly
derives
almost
exclusively
from
continuum
elastic
descriptions,
current
challenge
is
understand
connection
between
microscopic
physical
properties
misfitting
"building
blocks"
and
emergent
behavior
at
mesoscale.
We
present
analyze
particle-based
description
what
arguably
best
studied
example
for
frustrated
assembly,
negative-curvature
ribbon
observed
both
assemblies
chiral
surfactants
shape-frustrated
nanoparticles.
Based
on
our
particle
model,
known
as
saddle
wedge
monomers,
we
numerically
test
shape
interactions
subunits
supra-particle
scale,
specifically
focussing
propagation
relaxation
inter-particle
strains,
role
extrinsic
ribbons
equilibrium
regime
width
selection.
Beyond
intuitive
misfit,
show
that
self-limitation
critically
dependent
range
cohesive
interactions,
larger
size
requiring
increasing
short-range
interparticle
forces.
Additionally,
demonstrate
non-linearities
arising
discrete
alter
self-limiting
due
strain-softening
shape-flattened
partial
yielding
highly
strained
bonds,
which
turn
may
give
rise
states
hierarchical,
multidomain
assembly.
Tracing
regimes
frustration-limited
specific
features
shapes
provides
necessary
guidance
translating
theory
size-programmable
into
design
intentionally-frustrated
colloidal
particles.
Physical Review Letters,
Journal Year:
2025,
Volume and Issue:
134(5)
Published: Feb. 7, 2025
Modern
experimental
methods
enable
the
creation
of
self-assembly
building
blocks
with
tunable
interactions,
but
optimally
exploiting
this
tunability
for
desired
structures
remains
an
important
challenge.
Many
studies
inverse
problem
start
so-called
fully
addressable
limit,
where
every
particle
in
a
target
structure
is
different.
This
leads
to
clear
design
principles
that
often
result
high
assembly
yield,
it
not
scalable
approach-at
some
point,
one
must
grapple
"reusing"
blocks,
which
lowers
degree
addressability
and
may
cause
multitude
off-target
form,
complicating
process.
Here,
we
solve
key
obstacle
preventing
robust
"semiaddressable
regime"
by
developing
highly
efficient
algorithm
enumerates
all
can
be
formed
from
given
set
blocks.
By
combining
established
partition-function-based
yield
calculations,
show
almost
always
possible
find
economical
semiaddressable
designs
entropic
gain
reusing
outweighs
presence
even
increases
target.
Thus,
only
does
our
enumeration
regime,
results
demonstrate
operate
regime
while
maintaining
level
control
associated
full
addressability.
ACS Nano,
Journal Year:
2025,
Volume and Issue:
unknown
Published: April 11, 2025
Through
programmable
self-assembly,
simple
building
blocks
can
be
made
to
form
highly
complex
structures
following
local
rules
of
interaction.
However,
materials
systems
that
are
most
commonly
utilized
for
assembly
often
lack
interactions
exhibit
the
strength,
specificity,
and
long
ranges,
which
would,
as
a
result,
allow
robust
rapid
hierarchical
self-assembly
processes.
"Magnetic
handshake"
resolve
many
these
challenges
at
once,
incorporating
strong,
long-range,
specific
magnetic
through
patterning
dipoles
onto
rigid
panels.
When
appropriately
designed,
panels
organize
hierarchically:
first
into
chains,
subsequently
those
chains
combine
dense
stacks.
Here,
we
examine
differences
in
phase
behavior
morphology
four
panel
types.
We
delineate
how
perpendicular
chaining
stacking
between
compete
they
manipulated
reverse
sequence
pathway.
Collectively,
our
work
shows
enormous
potential
using
handshake
hierarchically
organized
structures.
Soft Matter,
Journal Year:
2023,
Volume and Issue:
19(5), P. 858 - 881
Published: Jan. 1, 2023
Geometric
frustration
offers
a
pathway
to
soft
matter
self-assembly
with
controllable
finite
sizes.
While
the
understanding
of
in
assembly
derives
almost
exclusively
from
continuum
elastic
descriptions,
current
challenge
is
understand
connection
between
microscopic
physical
properties
misfitting
"building
blocks"
and
emergent
behavior
at
mesoscale.
We
present
analyze
particle-based
description
what
arguably
best
studied
example
for
frustrated
assembly,
negative-curvature
ribbon
observed
both
assemblies
chiral
surfactants
shape-frustrated
nanoparticles.
Based
on
our
particle
model,
known
as
saddle
wedge
monomers,
we
numerically
test
shape
interactions
subunits
supra-particle
scale,
specifically
focussing
propagation
relaxation
inter-particle
strains,
role
extrinsic
ribbons
equilibrium
regime
width
selection.
Beyond
intuitive
misfit,
show
that
self-limitation
critically
dependent
range
cohesive
interactions,
larger
size
requiring
increasing
short-range
interparticle
forces.
Additionally,
demonstrate
non-linearities
arising
discrete
alter
self-limiting
due
strain-softening
shape-flattened
partial
yielding
highly
strained
bonds,
which
turn
may
give
rise
states
hierarchical,
multidomain
assembly.
Tracing
regimes
frustration-limited
specific
features
shapes
provides
necessary
guidance
translating
theory
size-programmable
into
design
intentionally-frustrated
colloidal
particles.