Dodecagonal quasicrystalline order in a diblock copolymer melt

Proceedings of the National Academy of Sciences of the United States of America - Tập 113 Số 19 - Trang 5167-5172 - 2016
Timothy M. Gillard1, Sangwoo Lee2, Frank S. Bates1
1Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455; and
2Department of Chemical and Biological Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180;

Tóm tắt

Significance Spherical objects ranging in size from metal atoms to micron-scale colloidal particles to billiard balls tend to form regular close packed arrays with three-dimensional translational symmetry. We show that nearly spherical nanoscale micelles, formed by self-assembled diblock copolymers, spontaneously evolve into a two-dimensional dodecagonal quasicrystal following rapid cooling from the disordered liquid state. This aperiodic arrangement, characterized by rotational symmetry but not translational symmetry, transforms over time into a three-dimensional Frank–Kasper σ phase with local tetrahedral particle packing. This discovery suggests that certain forms of quasicrystalline order are nonequilibrium states generated by kinetically facilitated particle clustering in the supercooled liquid. Redistribution of polymer molecules between micelles through molecular diffusion appears to play a central role in these processes.

Từ khóa


Tài liệu tham khảo

10.1103/PhysRevLett.53.2477

10.1103/PhysRevLett.53.1951

10.1038/nature02368

10.1038/nature08439

10.1038/nature11230

10.1073/pnas.1008695108

10.1103/PhysRevLett.98.195502

10.1021/ja301770v

10.1126/science.1215368

10.1146/annurev.pc.41.100190.002521

10.1126/science.1195552

10.1002/aic.14023

10.1073/pnas.1408678111

10.1021/ma60078a047

10.1021/ma9900277

10.1021/ma00095a001

10.1021/ma970631m

10.1080/14786430500363148

10.1080/09500839.2015.1038332

10.1103/PhysRevLett.99.235503

10.1073/pnas.1019763108

10.1021/ja8094944

10.1021/ja907882n

10.1524/zkri.219.7.391.35643

10.1088/0953-8984/14/2/201

10.1021/mz500445v

10.1126/science.aaa2421

10.1039/c3sm51238j

10.1016/0022-2836(92)91031-J

10.1103/PhysRevLett.70.2924

10.1103/PhysRevE.61.6845

10.1021/ma010098h

10.1021/ma047990j

10.1103/PhysRevLett.76.924

10.1021/ma021009j

10.1002/polb.10427

10.1021/ma0346815

10.1021/ma102788v

10.1038/23819

10.1038/35081021

10.1021/jp953538d

10.1038/35065704

10.1103/PhysRevE.73.031804

10.1063/1.453566

10.1103/PhysRevLett.60.2295

10.1016/j.physrep.2014.11.004

10.1038/ncomms1974

Thông tin
Thông tin xuất bản

Proceedings of the National Academy of Sciences of the United States of America

Tập 113 Số 19

5167-5172

Thông tin tác giả