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Orientational interactions in block copolymer melts: Self-consistent field theory
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View: Figures


Image of FIG. 1.
FIG. 1.

Schematic of a chiral BCP molecule, in which the A block is formed by a series of segments with orientation sensitive segment interactions. Vector t(x) is defined as local volume average of segment orientation.

Image of FIG. 2.
FIG. 2.

Phase boundaries between cylinder-disorder phases and lamellae-cylinder phases for different orientational stiffness values, .

Image of FIG. 3.
FIG. 3.

Critical compositions f (left) and critical χN values (right) as a function of reduced Frank constant .

Image of FIG. 4.
FIG. 4.

Plots of (a) the interfacial width w as a function of χN, and (b), (c) the domain spacing D as functions of χN and Frank constant , respectively, for the lamella phase (L). The two lengths are reduced to dimensionless numbers by comparing with root-mean-square end-to-end distance N 1/2 a of a Gaussian chain.

Image of FIG. 5.
FIG. 5.

Plots of the profiles (a) ϕ A (x) and (b) t(x) across a symmetric (f = 0.5) lamellar phase in the strong-segregation limit (χN = 32) and for three different values of Frank elastic constant, , and 0.8. Here, is the direction normal to the lamellar layers.

Image of FIG. 6.
FIG. 6.

Schematic representations of the unit-cell approximation for C inner , L, and C outer phases. The unit cell and the AB interface for C inner and C outer phases are assumed to be uniformly round. As for L phase, it is assumed to be uniformly flat for the unit-cell and AB interface. The polymer chains extend radially in the C inner and C outer phases, while perpendicularly to the interface in the L phase. The blocks with orientational segment interactions are marked red, which are formed by sequentially connected vector arrows as shown in the highlighted molecules of each individual phase. The other blocks are marked blue, the interfaces are marked as green dashed lines, and the junction points are marked as purple dots.

Image of FIG. 7.
FIG. 7.

Schematic of a chiral BCP molecule, on which two adjacent unit tangent vectors t α and t β with distance r αβ interacting with each other.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Orientational interactions in block copolymer melts: Self-consistent field theory