Summary of Nanowire Growth Mechanism: Difference between revisions
No edit summary |
No edit summary |
||
| Line 27: | Line 27: | ||
<math> \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS}-\frac{\tau}{r} </math> |
<math> \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS}-\frac{\tau}{r} </math> |
||
if <math>\tau<0</math>, there will be a tendency to increase the trijunction radius; while if <math>\tau>0</math>, the tendency should be to reduce the trijunction radius. |
if <math>\tau<0</math>, there will be a tendency to increase the trijunction radius; while if <math>\tau>0</math>, the tendency should be to reduce the trijunction radius. <ref>V.Schmidt et al, Appl. Phys. A 80, 445(2005).</ref> |
||
==Anisotropic Material Nanowire Statics== |
==Anisotropic Material Nanowire Statics== |
||
| Line 34: | Line 35: | ||
==Anisotropic Material Nanowire Growth Dynamics== |
==Anisotropic Material Nanowire Growth Dynamics== |
||
<reference> |
|||
Revision as of 21:48, 9 July 2012
Summary of Nanowire Growth Mechanism
Yanming Wang and Seunghwa Ryu
Isotropic Material Nanowire Statics
No line tension at trijunction
Force balance is always kept as,
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle tan(\alpha)=-\frac{dh}{dr} }
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h(\alpha')=-\int_0^{\alpha'}{tan(\alpha)\frac{dr}{d\alpha}d\alpha},V_L = const }
Solving the above integral, we can get the equilibrium shape of the nanowire grown by steady state process.
Non-zero line tension
The force balance equation in this situation will change as
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS}-\frac{\tau}{r} }
if Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tau<0} , there will be a tendency to increase the trijunction radius; while if Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tau>0} , the tendency should be to reduce the trijunction radius. [1]
Anisotropic Material Nanowire Statics
Isotropic Material Nanowire Growth Dynamics
Anisotropic Material Nanowire Growth Dynamics
<reference>
- ↑ V.Schmidt et al, Appl. Phys. A 80, 445(2005).