Shape Allophiles Improve Entropic Assembly
Abstract
We investigate a class of "shape allophiles" that fit together like puzzle pieces as a method to access and stabilize desired structures by controlling directional entropic forces. Squares are cut into rectangular halves, which are shaped in an allophilic manner with the goal of re-assembling the squares while self-assembling the square lattice. We examine the assembly characteristics of this system via the potential of mean force and torque, and the fraction of particles that entropically bind. We generalize our findings and apply them to self-assemble triangles into a square lattice via allophilic shaping. Through these studies we show how shape allophiles can be useful in assembling and stabilizing desired phases with appropriate allophilic design.
Keywords
Cite
@article{arxiv.1506.07904,
title = {Shape Allophiles Improve Entropic Assembly},
author = {Eric S. Harper and Ryan L. Marson and Joshua A. Anderson and Greg van Anders and Sharon C. Glotzer},
journal= {arXiv preprint arXiv:1506.07904},
year = {2017}
}
Comments
17 pages, 7 figures. Published as E. S. Harper, R. L. Marson, J. A. Anderson, G. van Anders, and S. C. Glotzer, Soft Matter, 2015, DOI: 10.1039/c5sm01351h