Graphoepitaxy for pattern multiplication of nanoparticle monolayers

by Ferraro ME, Bonnecaze RT, Truskett TM

Phys Rev Lett. 2014 Aug 22;113(8):085503. Epub 2014 Aug 21

We compute the free energy minimizing structures of particle monolayers in the presence of enthalpic barriers of a finite height βV_{ext} using classical density functional theory and Monte Carlo simulations. We show that a periodic square template with dimensions up to at least 10 times the particle diameter disrupts the formation of the entropically favored hexagonally close-packed 2D lattice in favor of a square lattice. The results illustrate how graphoepitaxy can successfully order nanoparticulate films into desired patterns many times smaller than those of the prepatterned template.

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