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Diblock copolymer lamellae on sinusoidal and fractal surfaces
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View: Figures


Image of FIG. 1.
FIG. 1.

Monolayer thick lamellar film on a flat substrate taken as a reference configuration for calculating the change in free energy. (a) and (b) have the same free energy given by the Eq. (1).

Image of FIG. 2.
FIG. 2.

(a) Geometry of monolayer lamellar film where the lamellae are arranged parallel to the substrate such that the monomer interface oscillates in phase with the substrate. (b) Geometry of parallel monolayer lamellar film with a flat interface. A representative diblock copolymer chain is also shown in each case.

Image of FIG. 3.
FIG. 3.

The monolayer film in “fat” monolayer limit (a) and “thin” monolayer limit (b).

Image of FIG. 4.
FIG. 4.

Schematic of the method used for treating the problem of perpendicular lamellae on rough surface as one with brush containing nanoinclusions. The thick horizontal line is the mirror surface about which the original system of perpendicular lamellae on a rough substrate (depicted as hatched area bounded with a curved line) is reflected. Augmenting the original system on top with its reflection on bottom presents a system where the hatched area can be considered as nanoparticles immersed in a brush.

Image of FIG. 5.
FIG. 5.

The lamellar monolayer thin film oriented perpendicular to the substrate in small εh 0 k limit. An enlarged view of one lamella is also shown.

Image of FIG. 6.
FIG. 6.

Summary of results from Kulkarni et al. showing the percentage of perpendicular oriented lamellae as a function of substrate-surface parameters.

Image of FIG. 7.
FIG. 7.

Power spectra for three surfaces shown in Figure 6. (a), (b), and (c) correspond to cases labeled 1, 2, and 3 respectively in Figure 6.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Diblock copolymer lamellae on sinusoidal and fractal surfaces