We have investigated the self-assembly of the AB2C terpolymer
using self-consistent field theory, focusing on the formation of novel
“connected” binary spherical phases. Our results reveal
that the AB2C four-arm star terpolymer exhibits significantly
different phase behaviors from those of the conventional ABC star
terpolymer. Specifically, some polygon-tiling patterns, which are
the usual stable phases of the ABC star, do not appear in the phase
diagram of the AB2C four-arm star, while the ZnS and NaCl
binary spherical phases exhibit large stable regions instead. The
volume fractions of the binary spherical domains reach so high that
they are severely deformed from being spherical. Interestingly, the
binary spheres in ZnS and NaCl structures are in close contact due
to the star architecture and thus constitute single diamond and single
plumber’s nightmare networks, respectively. Our further calculations
indicate that the ZnS structure with a largely tunable volume fraction
can be used to generate the template of three-dimensional photonic
crystals that have large-sized band gaps. Our work not only deepens
the understanding of ABC multi-arm star copolymers but may also promote
relevant experimental studies.