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Surface-induced morphologies of lamella-forming diblock copolymers confined in nanorod arrays
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10.1063/1.3050102
/content/aip/journal/jcp/130/1/10.1063/1.3050102
http://aip.metastore.ingenta.com/content/aip/journal/jcp/130/1/10.1063/1.3050102
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sketch map of periodic nanorod arrays in the planes. Here, denotes the diameter of rod, and represent the array periods in the and directions, respectively. (a) The normal case for the fractional confinement dimension. (b) Explanation for the confinement dimension at direction. (c) Zero-dimensional confinement,. (d) 1D confinement, . (e) 2D confinement, .

Image of FIG. 2.
FIG. 2.

The model of a calculation unit. (a) The three-dimensional sketch map. The red (dark), green (light), and blue (black) colors represent -block, -block, and solid nanorod, respectively (note that the same form in the following figures). (b) Calculation unit of nanorod array. The unit periods in three directions are denoted by , , and , respectively.

Image of FIG. 3.
FIG. 3.

Morphologies of lamella-forming diblock copolymers confined in the nanorod arrays with neutral surfaces. The morphologies depend on the confinement degree . [(h)–(j)] The values of are listed upon the lines, and several patterns with eight replicated units are also shown.

Image of FIG. 4.
FIG. 4.

The free energy as a function of iteration step for the various confinement degrees. (a) The first 100 iteration steps for the and . (b) The trend of free energy for the . (c) The trend of free energy for the . The morphologies are inserted in the corresponding position. (d) The dependence of minimal free energy per chain on . Four types of morphologies (, , , and ) are shown in the corresponding positions. The entropic free energies are also inserted. The dots denote the for different , while the simple lines are connected between two neighboring dots in order to observe their variations.

Image of FIG. 5.
FIG. 5.

Morphological dependences of lamella-forming diblock copolymers on the strengths of surface fields for the arrays with . [(c), (d), and (g)] The values of are listed upon the lines, and several patterns with eight replicated units are also shown.

Image of FIG. 6.
FIG. 6.

Density profiles ϕ(x) of and morphologies at z=22. (a) of morphology for y=12, 18, and 22. (b) of morphology for y=12, 18, and 22.

Image of FIG. 7.
FIG. 7.

Morphological dependences of lamella-forming diblock copolymers on the strengths of surface fields for the arrays with . Here, the values of are listed upon the lines.

Image of FIG. 8.
FIG. 8.

Morphological dependences of lamella-forming diblock copolymers on the strengths of surface fields for the arrays with . [(h)–(j)] The values of are list upon the lines, and several patterns with eight replicated units are also shown.

Image of FIG. 9.
FIG. 9.

Morphological dependences of lamella-forming diblock copolymers on the strengths of surface fields for the arrays with . Here, the values of are listed upon the lines.

Image of FIG. 10.
FIG. 10.

The entropic free energies of morphologies, , as a function of surface field strength for different confinement degrees .

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/content/aip/journal/jcp/130/1/10.1063/1.3050102
2009-01-06
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Surface-induced morphologies of lamella-forming diblock copolymers confined in nanorod arrays
http://aip.metastore.ingenta.com/content/aip/journal/jcp/130/1/10.1063/1.3050102
10.1063/1.3050102
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