In
this paper, we extend a recently developed computational reverse-engineering
analysis for scattering experiments (CREASE) approach to analyze cylindrical,
fibrillar, and elliptical cylindrical structures assembled in amphiphilic
block copolymer solutions. With CREASE, one can deduce information
about assembled structures characterized via small-angle scattering
without having to rely on fits using conventional analytical scattering
models that may be approximate or inapplicable for the system at hand.
With scattering intensity profiles and information about the polymer
solution (e.g., molecular weight, composition, and
sequence) provided to CREASE as an input, the output from CREASE includes
the shape, morphology, dimensions, and molecular packing in the assembled
polymer structures within the solution. CREASE is comprised of two
steps: the first step involves a genetic algorithm (GA) to determine
the shape and dimensions of the domains in the assembled structure
and the second step uses molecular simulations to reconstruct chain
conformations and monomer-level arrangements within the assembled
structure. This paper builds on our recent work that was focused on
spherical assembled structures and extends it to nonspherical assembled
structures like cylinders, fibrils, and cylinders with elliptical
cross sections. We validate the GA step within CREASE by taking input
scattering intensity profiles from a variety of assembled shapes with
known shapes and dimensions and by producing outputs that match those
known shapes and target dimensions. To demonstrate its use in real
situations where microscopy may hint at the potential shapes without
the user knowing the dimensions with certainty, we apply CREASE with
different potential assembled shapes and compare the structural dimensions
of the results.