Please use this identifier to cite or link to this item: doi:10.22028/D291-28994
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Title: On the geometric stability of an inorganic nanowire and an organic ligand shell
Author(s): Bettscheider, Simon
Kraus, Tobias
Fleck, Norman A.
Language: English
Title: Journal of the mechanics and physics of solids
Volume: 123
Startpage: 3
Endpage: 19
Publisher/Platform: Elsevier
Year of Publication: 2019
Publikation type: Journal Article
Abstract: The break-up of a nanowire with an organic ligand shell into discrete droplets is analysed in terms of the Rayleigh-Plateau instability. Explicit account is taken of the effect of the organic ligand shell upon the energetics and kinetics of surface diffusion in the wire. Both an initial perturbation analysis and a full numerical analysis of the evolution in wire morphology are conducted, and the governing non-dimensional groups are identified. The perturbation analysis is remarkably accurate in obtaining the main features of the instability, including the pinch-off time and the resulting diameter of the droplets. It is conjectured that the surface energy of the wire and surrounding organic shell depends upon both the mean and deviatoric invariants of the curvature tensor. Such a behaviour allows for the possibility of a stable nanowire such that the Rayleigh-Plateau instability is not energetically favourable. A stability map illustrates this. Maps are also constructed for the final droplet size and pinch-off time as a function of two non-dimensional groups that characterise the energetics and kinetics of diffusion in the presence of the organic shell. These maps can guide future experimental activity on the stabilisation of nanowires by organic ligand shells.
DOI of the first publication: 10.1016/j.jmps.2018.07.017
URL of the first publication: https://www.sciencedirect.com/science/article/pii/S0022509618305830
Link to this record: hdl:20.500.11880/27932
http://dx.doi.org/10.22028/D291-28994
ISSN: 1873-4782
0022-5096
Date of registration: 27-Sep-2019
Faculty: NT - Naturwissenschaftlich- Technische Fakultät
Department: NT - Chemie
Professorship: NT - Prof. Dr. Tobias Kraus
Collections:UniBib – Die Universitätsbibliographie

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