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A theoretical study for nanoparticle partitioning in the lamellae of diblock copolymers
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10.1063/1.2827470
/content/aip/journal/jcp/128/7/10.1063/1.2827470
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/7/10.1063/1.2827470
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) The density profiles of the polymeric segments (“A” and “B”) within one periodic spacing of the lamellar structure. Here , , and the microdomain spacing is . (b) Effect of the polymer incompatibility on the total local polymer density. For , the microdomain spacing is . In both cases, the polymer chain length is , and the average packing fraction is .

Image of FIG. 2.
FIG. 2.

The reduced periodic spacing of the lamellae vs . (a) and (b) . Closed symbols are simulation results from Ref. 15, open symbols are from the DFT, and the solid lines are from the SCFT.

Image of FIG. 3.
FIG. 3.

(a) The density profiles of the polymeric segments (A and B) and the total polymer density within one period of the lamellae. Here the average packing fraction of the polymer is , the energy parameters are , , and the periodic spacing is . (b) The distribution probability of neutral particles with different radii in the block-copolymer lamellae.

Image of FIG. 4.
FIG. 4.

(a) Dependence of the biased one-particle potential on the ratio of the particle radius to the lamellar periodic spacing . All parameters for the copolymers are identical to those shown in Fig. 3(a). (b) Effect of the chain length on the biased one-particle potential . (c) Effect of the polymer density on .

Image of FIG. 5.
FIG. 5.

Effect of the chain length on the local structure of lamellar interface (the interface is ).

Image of FIG. 6.
FIG. 6.

Effect of the chain length on the distribution of small and large neutral particles. The peaks in the particle distribution functions are aligned at . The embedded figure represents the reduced total density profile at the interface.

Image of FIG. 7.
FIG. 7.

Effect of the overall packing density on the local structure of lamellar interface.

Image of FIG. 8.
FIG. 8.

(a) The probability distribution function for a small neutral particle at the lamellar interface . (b) The probability distribution function for a large neutral particle at the center of the A domain .

Image of FIG. 9.
FIG. 9.

Effect of the energetic selectivity on the particle-distribution probability. Here the particle radius is ; all parameters for the polymers are identical to those shown in Fig. 3(a).

Image of FIG. 10.
FIG. 10.

(a) The probability distribution functions for particles of different sizes at . (b) Effect of the selectivity parameter on the particle distribution at . All parameters for the polymers are the same as those shown in Fig. 3(a).

Image of FIG. 11.
FIG. 11.

Effect of the chain length on the distributions of energetically selective nanoparticles .

Image of FIG. 12.
FIG. 12.

Effect of the chain length on the probability distribution functions for nanoparticles with different selectivity parameters. Here the particle size is fixed relative to the periodic spacing .

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/content/aip/journal/jcp/128/7/10.1063/1.2827470
2008-02-19
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A theoretical study for nanoparticle partitioning in the lamellae of diblock copolymers
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/7/10.1063/1.2827470
10.1063/1.2827470
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