Summary of Nanowire Growth Mechanism: Difference between revisions
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<math> V_L=\frac{\pi}{3}(\frac{r}{sin(\beta)})^3(1-cos(\beta))^2(2+cos(\beta))</math> |
<math> V_L=\frac{\pi}{3}(\frac{r}{sin(\beta)})^3(1-cos(\beta))^2(2+cos(\beta))</math> |
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Force balance is always kept as |
Force balance is always kept as, |
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<math> \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS} </math> |
<math> \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS} </math> |
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<math> tan(\alpha)=-\frac{dh}{dr} </math> |
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<math> h(\alpha')=-\int_0^{\alpha'}{tan(\alpha)\frac{dr}{d\alpha}d\alpha},V_L = const </math> |
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Solving the above integral, we can get the equilibrium shape of the nanowire grown by steady state process. |
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===Non-zero line tension=== |
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The force balance equation in this situation will change as |
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<math> \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS}-\frac{\tau}{r} </math> |
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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> |
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===Stability against trijunction unpinning=== |
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==Anisotropic Material Nanowire Statics== |
==Anisotropic Material Nanowire Statics== |
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==Anisotropic Material Nanowire Growth Dynamics== |
==Anisotropic Material Nanowire Growth Dynamics== |
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<references/> |
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Latest revision as of 21:50, 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,
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
if , there will be a tendency to increase the trijunction radius; while if , the tendency should be to reduce the trijunction radius. [1]
Stability against trijunction unpinning
Anisotropic Material Nanowire Statics
Isotropic Material Nanowire Growth Dynamics
Anisotropic Material Nanowire Growth Dynamics
- ↑ V.Schmidt et al, Appl. Phys. A 80, 445(2005).