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发现嵌段共聚物的有序相:一种通用傅里叶空间方法的新成果。

Discovering ordered phases of block copolymers: new results from a generic Fourier-space approach.

作者信息

Guo Zuojun, Zhang Guojie, Qiu Feng, Zhang Hongdong, Yang Yuliang, Shi An-Chang

机构信息

The Key Laboratory of Molecular Engineering of Polymers, Ministry of Education, Department of Macromolecular Science, Fudan University, Shanghai 200433, China.

出版信息

Phys Rev Lett. 2008 Jul 11;101(2):028301. doi: 10.1103/PhysRevLett.101.028301. Epub 2008 Jul 8.

Abstract

A generic Fourier-space approach to solve the self-consistent field theory of block copolymers is developed. This approach is based on the fact that, for any computational box with periodic boundary conditions, all spatially varying functions are spanned by the Fourier series determined by the size and shape of the box. The method reproduces all known diblock copolymer phases. The application of this method to a model "frustrated" triblock copolymer leads to a phase diagram with a number of new phases. Furthermore, the capability of the method to reproduce experimentally observed structures is demonstrated using the knitting pattern of triblock copolymers.

摘要

开发了一种用于求解嵌段共聚物自洽场理论的通用傅里叶空间方法。该方法基于这样一个事实,即对于任何具有周期性边界条件的计算盒,所有空间变化函数都由由盒子的大小和形状确定的傅里叶级数所张成。该方法重现了所有已知的双嵌段共聚物相。将该方法应用于一个模型“受挫”三嵌段共聚物,得到了一个包含许多新相的相图。此外,利用三嵌段共聚物的编织图案证明了该方法重现实验观察到的结构的能力。

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