Entropy favours open colloidal lattices

Mao, Xiaoming; Chen, Qian; Granick, Steve

doi:10.1038/nmat3496

Entropy favours open colloidal lattices

Journal Article · Sun Jan 13 00:00:00 EST 2013 · Nature Materials

DOI:https://doi.org/10.1038/nmat3496· OSTI ID:1875149

Mao, Xiaoming ^[1]; Chen, Qian ^[2]; Granick, Steve ^[2]

Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Michigan, Ann Arbor, MI (United States); University of Illinois
Univ. of Illinois, Urbana, IL (United States)

Burgeoning experimental and simulation activity seeks to understand the existence of self-assembled colloidal structures that are not close-packed. Here we describe an analytical theory based on lattice dynamics and supported by experiments that reveals the fundamental role entropy can play in stabilizing open lattices. The entropy we consider is associated with the rotational and vibrational modes unique to colloids interacting through extended attractive patches. Here, the theory makes predictions of the implied temperature, pressure and patch-size dependence of the phase diagram of open and close-packed structures. More generally, it provides guidance for the conditions at which targeted patchy colloidal assemblies in two and three dimensions are stable, thus overcoming the difficulty in exploring by experiment or simulation the full range of conceivable parameters.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: National Science Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-07ER46471

OSTI ID:: 1875149

Journal Information:: Nature Materials, Journal Name: Nature Materials Journal Issue: 3 Vol. 12; ISSN 1476-1122

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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