  Bond-orientational order in DNA-assembled nanoparticle lattices is explored
with the help of recently introduced Symmetry-specific Bond Order Parameters
(SymBOPs). This approach provides a more sensitive analysis of local order than
traditional scalar Bond Order Parameters, facilitating the identification of
coherent domains at the single bond level. The present study expands the method
initially developed for assemblies of anisotropic particles to the isotropic
ones or cases where particle orientation information is unavailable. The SymBOP
analysis was applied to experiments on DNA-frame-based assembly of nanoparticle
lattices. It proved highly sensitive in identifying coherent crystalline
domains with different orientations, as well as detecting topological defects,
such as dislocations. Furthermore, the analysis distinguishes individual
sublattices within a single crystalline domain, such as pair of
interpenetrating FCC lattices within a cubic diamond. The results underscore
the versatility and robustness of SymBOPs in characterizing ordering phenomena,
making them valuable tools for investigating structural properties in various
systems.
