Impact
of surface interaction energy. (a) Schematic representation
of a patchy-particle model. If two active patches (purple) of adjacent
particles overlap, the two particles attract each other. However,
if one of the patches is inactive (yellow), mirroring the real-life
scenario of DNA helices in an arm not being parallel, there is no
interaction with the adjacent particle. Gray region is the repulsive
core, preventing the overlap of particles. (b) Simulation frames where Popen is 0.2 and the surface interaction energies
are 2 kT (left) and 4 kT (right). Zoomed-in region with polygon overlays
is also presented. Dark blue, blue, gray, and pink represent pentagon,
hexagon, heptagon, and octagon, respectively. As the surface interaction
energy increases, we observe a decrease in the crystallinity and radiality.
(c) Average hexagon content as a function of surface energy. Reported
values are averages of 10 randomly selected frames after the convergence
of simulations. Simulation parameters are σ = 1, δ = 0.038,
θpw = 0.3, and ε = 6 kT. Parameters are selected
to represent the π–π stacking interactions between
3PS tiles.8 (d) Three ways to tune DNA-mica
interaction strength (from left to right): through tuning the concentration
of the divalent cation, using a distinct divalent cation that interacts
with mica and DNA differently, and adding monovalent cations to compete
with the divalent cation. DNA helices are drawn using DNA helix drawer.25