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Ordering kinetics of block copolymers directed by periodic two-dimensional rectangular fields
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View: Figures


Image of FIG. 1.
FIG. 1.

Schematic plot of periodic rectangular array of potential wells on a substrate. The blue color indicates the regions where the minority block is preferred, and the other regions do not have preference to any block. Each rectangular cell is denoted by two periods of and on x and y directions, respectively.

Image of FIG. 2.
FIG. 2.

Defect concentrations of cylinders assembled on patterned templates as function of time. Figures (a) and (b) are results of four rectangular fields for each of density multiplications of 12 and 16, respectively. In (b), the filled symbols denote the results of periodic hexagonal field with the same density multiplication of 16 from Ref. 21.

Image of FIG. 3.
FIG. 3.

Monomer density plots of cylinder patterns directed by periodic fields of [1 6] (left column) and [6 1] (right column) at t = 104 (upper row) and t = 105 (bottom row). Each figure exhibits a 5122 portion of the entire sample. Insets give the Fourier spectrums of the density.

Image of FIG. 4.
FIG. 4.

Distributions of local lattice orientation of the entire block copolymer domains in Fig. 3. The colors of the spectrum indicate the range of lattice orientation from 0 to 60 degrees.

Image of FIG. 5.
FIG. 5.

Orientation distribution plots for the density multiplication of 16. From top to bottom, the periodic field is [1 8], [8 1], and 〈40〉, and from left to right, the corresponding time is t = 104, 105, and 2 × 105, respectively.

Image of FIG. 6.
FIG. 6.

Small portion of density plots around the locations of a pair of dislocations for the rectangular [1 6]-field. From (a) to (h), the time is t = 2 × 105, 2.2 × 105, 2.4 × 105, 2.6 × 105, 3.2 × 105, 3.4 × 105, 3.6 × 105, and 3.8 × 105, respectively. In (a), the two dislocations are indicated by short color lines, and the Delaunay triangles around the bottom one are plotted. Black and white circles indicate where a new domain is going to appear and where a new domain just comes out, respectively.

Image of FIG. 7.
FIG. 7.

Time evolution of defect concentrations for the type [1 m] of rectangular field, where m = 10, 12, 14, 16, and 18. The red and blue solid lines are the results of hexagonal field, 〈50〉 and 〈60〉, respectively. The green solid line indicates the relation of 1/3 power law.

Image of FIG. 8.
FIG. 8.

Orientation distribution plots for the rectangular [1 18]-field (upper row) and the hexagonal 〈60〉-field (bottom row). Left and right columns correspond to evolving time, t = 105 and t = 106, respectively.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Ordering kinetics of block copolymers directed by periodic two-dimensional rectangular fields