banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Controlling the Rayleigh instability of nanowires
Rent this article for
View: Figures


Image of FIG. 1.
FIG. 1.

Assumed cross-sectional geometry of a semi-cylindrical nanowire in a groove with angle forming a contact angle with the substrate. The radius of the wire varies with position z along the length of the groove. This example is for . Other examples are shown in Fig. 2 .

Image of FIG. 2.
FIG. 2.

Examples of different groove/wire configurations (a) flat substrate ( ), (b) full contact convex wire ( ), (c) flat wire ( ), and (d) concave wire ( ). The other case of partial contact ( ) resulting in two free surfaces is shown in Fig. 1 .

Image of FIG. 3.
FIG. 3.

The β function characterizes the geometric effects of changing the contact angle θ and the groove angle ψ on the instability. A system is unstable if and stable if . Two such stable configurations are shown in Figs. 2(c) and 2(d) .

Image of FIG. 4.
FIG. 4.

Predictions of (a) wavelength from (16), and (b) growth rate from (18) for a number of different groove angles ( and 45°) and evaporation rates (σ = 0, 0.2, and 0.5). The model shows good correspondence with the exact solution of McCallum et al. 14 for a flat substrate ( and ) shown in (a) as a dotted line.

Image of FIG. 5.
FIG. 5.

The experimental measurements of Huang et al. 1 for the wavelength of a nanowire on a flat substrate (symbols) are well approximated by a linear temperature dependence (dashed-dotted line). This increase in the wavelength is consistent with a change in the dissipative mechanism (σ) or a change in the contact angle (θ) as shown.


Article metrics loading...


Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Controlling the Rayleigh instability of nanowires