Structural color
arises from geometric diffraction; it has potential applications in
optical materials because it is more resistant to environmental degradation
than coloration mechanisms that are of chemical origin. Structural
color can be produced from self-assembled films of colloidal size
particles. While the relationship between the crystal structure and
structural color reflection peak wavelength is well studied, the connection
between assembly quality and the degree of reflective structural color
is less understood. Here, we study this connection by investigating
the structural color reflection peak intensity and width as a function
of defect density and film thickness using a combined experimental
and computational approach. Polystyrene microspheres are self-assembled
into defective colloidal crystals via solvent evaporation. Colloidal
crystal growth via sedimentation is simulated with molecular dynamics,
and the reflection spectra of simulated structures are calculated
by using the finite-difference time-domain algorithm. We examine the
impact of commonly observed defect types (vacancies, stacking fault
tetrahedra, planar faults, and microcracks) on structural color peak
intensity. We find that the reduction in peak intensity scales with
increased defect density. The reduction is less sensitive to the type
of defect than to its volume. In addition, the reflectance of structural
color increases as a function of the crystal thickness, until a plateau
is reached at thicknesses greater than about 9.0 μm. The maximum
reflection is 78.8 ± 0.9%; this value is significantly less than
the 100% reflectivity predicted for a fully crystalline, defect-free
material. Furthermore, we find that colloidal crystal films with small
quantities of defects may be approximated as multilayer reflective
materials. These findings can guide the design of optical materials
with variable structural color intensity.
Self-assembled colloidal crystals
can exhibit structural colors,
a phenomenon of intense reflection within a range of wavelengths caused
by constructive interference. Such diffraction effects are most intense
for highly uniform crystals; however, in practice, colloidal crystals
may include particles of irregular size, which can reduce the quality
of the crystal. Despite its importance in realizing high-quality structural
colors, a quantitative relationship between particles of irregular
size, crystal quality, and the resultant structural color response
remains unclear. This study systematically and quantitatively investigates
the effect of adding particles of irregular size on the microstructural
quality and structural color reflectivity of colloidal crystals formed
by evaporative self-assembly via experiment and simulation. We examine
two sizes of irregular particlesthose which are 1.9 times
larger and 0.4 times smaller than the host crystal. We find that small
irregular particles are more detrimental to surface crystal quality
and structural color reflectivity than large irregular particles.
When incorporated with 10% volume fraction of irregularly sized particles,
the reflectivity of crystal films with large (small) irregularly sized
particles decreases by 18.4 ± 5.6% (27.5 ± 5.8%), and a
measure of surface crystal quality derived from Fourier analysis of
scanning electron microscopy images reduces by 40.0 ± 4.5% (48.8
± 6.0%). By modeling colloidal films incorporated with irregular
particles via molecular dynamics simulation and computing the reflection
spectra of the modeled crystals via the finite-difference time-domain
method, we find that the peak reflectivity of the assembled structures
increases monotonically with overall crystallinity, and that overall
crystallinity is correlated with the volume fraction of incorporated
irregular particles. The quantitative relationships developed in this
study can be applied to predict the level of irregularly sized particles
that can be tolerated in colloidal films before significant degradation
in crystal quality and reflectivity occurs.
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