Jump to main content
Jump to site search

Issue 40, 2019
Previous Article Next Article

Assembly by solvent evaporation: equilibrium structures and relaxation times

Author affiliations

Abstract

We present a study describing the dynamics and equilibrium of the assembly of nanostructures by solvent evaporation. We first consider N nanocrystals stabilized by capping ligands in a spherical droplet of liquid solvent coexisting with its gas and show that, as the liquid solvent evaporates slowly, NCs crystallize into clusters of high symmetry based on tetrahedral and octahedral units: tetrahedron (N = 4), octahedron (N = 6), icosahedron (N = 13), Archimedean truncated tetrahedron (N = 16) and Z20 (N = 21). We derive explicit formulas for the process and rigorously compute relaxation times, which drastically increase when the packing parameter reaches the hard-sphere liquid–solid transition ηfHS = 0.49. This result shows that contrary to what occurs in an evaporation of a single component system, the relaxation times are not determined by the diffusion constant of the vapor, but rather, are dominated by the residence time of solvent molecules trapped within the capping ligands. Our theory provides a number of predictions that enable the design of new structures while improving the control and quality of their assembly.

Graphical abstract: Assembly by solvent evaporation: equilibrium structures and relaxation times

Back to tab navigation

Supplementary files

Publication details

The article was received on 11 Jul 2019, accepted on 30 Sep 2019 and first published on 02 Oct 2019


Article type: Paper
DOI: 10.1039/C9NR05908C
Nanoscale, 2019,11, 18702-18714
  • Open access: Creative Commons BY-NC license
  •   Request permissions

    Assembly by solvent evaporation: equilibrium structures and relaxation times

    T. Waltmannn and A. Travesset, Nanoscale, 2019, 11, 18702
    DOI: 10.1039/C9NR05908C

    This article is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported Licence. Material from this article can be used in other publications provided that the correct acknowledgement is given with the reproduced material and it is not used for commercial purposes.

    Reproduced material should be attributed as follows:

    • For reproduction of material from NJC:
      [Original citation] - Published by The Royal Society of Chemistry (RSC) on behalf of the Centre National de la Recherche Scientifique (CNRS) and the RSC.
    • For reproduction of material from PCCP:
      [Original citation] - Published by the PCCP Owner Societies.
    • For reproduction of material from PPS:
      [Original citation] - Published by The Royal Society of Chemistry (RSC) on behalf of the European Society for Photobiology, the European Photochemistry Association, and RSC.
    • For reproduction of material from all other RSC journals:
      [Original citation] - Published by The Royal Society of Chemistry.

    Information about reproducing material from RSC articles with different licences is available on our Permission Requests page.

Search articles by author

Spotlight

Advertisements