While ordered bicontinuous double diamond (OBDD) in block
copolymers
has always been considered as an unstable structure relative to ordered
bicontinuous double gyroid (OBDG), here we report the existence of
a thermodynamically stable OBDD structure in a diblock copolymer composed
of a stereoregular block. A slightly asymmetric syndiotactic polypropylene-block-polystyrene (sPP-b-PS) as cast from
xylene was found to display the OBDD morphology. When the OBDD-forming
diblock was heated, this structure transformed to the OBDG phase at
ca. 155 °C. Interestingly, OBDD was recovered upon cooling even
in the temperature range above melting point of sPP, indicating that
OBDD was a thermodynamically stable structure for sPP-b-PS melt, which was in contradiction to the conventional view. We
propose that the larger free energy cost encountered in OBDD due to
the larger packing frustration may be compensated sufficiently by
the release of free energy due to local packing of the conformationally
ordered segments of sPP blocks, which stabilizes the OBDD structure
at the lower temperatures.
The ordered bicontinuous double diamond (OBDD) structure has long been believed to be an unstable ordered network nanostructure, which is relative to the ordered bicontinuous double gyroid (OBDG) structure for diblock copolymers. Using electron tomography, we present the first real-space observation of the thermodynamically stable OBDD structure in a diblock copolymer composed of a stereoregular block, syndiotactic polypropylene-block-polystyrene (sPP-b-PS), in which the sPP tetrapods are interconnected via a bicontinuous network with Pn3̄m symmetry. The OBDD structure underwent a thermally reversible order-order transition (OOT) to OBDG upon heating, and the transition was accompanied with a slight reduction of domain spacing, as demonstrated both experimentally and theoretically. The thermodynamic stability of the OBDD structure was attributed to the ability of the configurationally regular sPP block to form helical segments, even above its melting point, as the reduction of internal energy associated with the helix formation may effectively compensate the greater packing frustration in OBDD relative to that in the tripods of OBDG.
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