Bottlebrush
block polymers are a promising platform for self-assembled photonic
materials, yet most work has been limited to one-dimensional photonic
crystals based on the lamellar phase. Here we demonstrate with simulation
that nonfrustrated ABC bottlebrush block polymers can be used to self-assemble
three-dimensional photonic crystals with complete photonic band gaps.
To show this, we have developed a computational approach that couples
self-consistent field theory (SCFT) simulations to Maxwell’s
equations, thereby permitting a direct link between molecular design,
self-assembly, and photonic band structures. Using this approach,
we calculate the phase diagram of nonfrustrated ABC bottlebrush block
polymers and identify regions where the alternating gyroid and alternating
diamond phases are stable. By computing the photonic band structures
of these phases, we demonstrate that complete band gaps can be found
in regions of thermodynamic stability, thereby suggesting a route
to realize these photonic materials experimentally. Furthermore, we
demonstrate that gap size depends on volume fraction, segregation
strength, and polymer architecture, and we identify a design strategy
based on symmetry breaking that can achieve band gaps for lower values
of refractive index contrast. Taken together, the approach presented
here provides a powerful and flexible tool for predicting both the
self-assembly and photonic band structures of polymeric materials.