Summary of Nanowire Growth Mechanism - Revision history

Yanmingw at 21:50, 9 July 2012

2012-07-09T21:50:50Z

← Older revision		Revision as of 21:50, 9 July 2012
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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>		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>


			===Stability against trijunction unpinning===


	==Anisotropic Material Nanowire Statics==		==Anisotropic Material Nanowire Statics==
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	==Anisotropic Material Nanowire Growth Dynamics==		==Anisotropic Material Nanowire Growth Dynamics==

			<references/>
	<reference>

Yanmingw at 21:48, 9 July 2012

2012-07-09T21:48:17Z

← Older revision		Revision as of 21:48, 9 July 2012
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	<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==
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	==Anisotropic Material Nanowire Growth Dynamics==		==Anisotropic Material Nanowire Growth Dynamics==

			<reference>

Yanmingw at 19:55, 26 June 2012

2012-06-26T19:55:54Z

← Older revision		Revision as of 19:55, 26 June 2012
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	Solving the above integral, we can get the equilibrium shape of the nanowire grown by steady state process.		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

			<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.

	==Anisotropic Material Nanowire Statics==		==Anisotropic Material Nanowire Statics==

Yanmingw: /* No line tension at trijunction */

2012-06-26T19:43:53Z

No line tension at trijunction

← Older revision		Revision as of 19:43, 26 June 2012
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	<math> h(\alpha')=-\int_0^{\alpha'}{tan(\alpha)\frac{dr}{d\alpha}d\alpha},V_L = const </math>		<math> h(\alpha')=-\int_0^{\alpha'}{tan(\alpha)\frac{dr}{d\alpha}d\alpha},V_L = const </math>

			Solving the above integral, we can get the equilibrium shape of the nanowire grown by steady state process.

	==Anisotropic Material Nanowire Statics==		==Anisotropic Material Nanowire Statics==

Yanmingw: /* No line tension at trijunction */

2012-06-26T19:42:03Z

No line tension at trijunction

← Older revision		Revision as of 19:42, 26 June 2012
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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>

	Force balance is always kept as		Force balance is always kept as,

	<math> \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS} </math>		<math> \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS} </math>

			<math> tan(\alpha)=-\frac{dh}{dr} </math>

			<math> h(\alpha')=-\int_0^{\alpha'}{tan(\alpha)\frac{dr}{d\alpha}d\alpha},V_L = const </math>

	==Anisotropic Material Nanowire Statics==		==Anisotropic Material Nanowire Statics==

Yanmingw: /* Isotropic Material Nanowire Statics */

2012-06-26T19:34:36Z

Isotropic Material Nanowire Statics

← Older revision		Revision as of 19:34, 26 June 2012
Line 7:		Line 7:

	==Isotropic Material Nanowire Statics==		==Isotropic Material Nanowire Statics==
			===No line tension at trijunction===

			<math> V_L=\frac{\pi}{3}(\frac{r}{sin(\beta)})^3(1-cos(\beta))^2(2+cos(\beta))</math>

			Force balance is always kept as

			<math> \sigma_{LV} cos(\beta) = \sigma_{SV} cos(\alpha)-\sigma_{LS} </math>

	==Anisotropic Material Nanowire Statics==		==Anisotropic Material Nanowire Statics==

Yanmingw at 19:19, 26 June 2012

2012-06-26T19:19:02Z

← Older revision		Revision as of 19:19, 26 June 2012
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	<P ALIGN="CENTER"><STRONG>Yanming Wang and Seunghwa Ryu</STRONG></P>		<P ALIGN="CENTER"><STRONG>Yanming Wang and Seunghwa Ryu</STRONG></P>
	</DIV>		</DIV>

			==Isotropic Material Nanowire Statics==

			==Anisotropic Material Nanowire Statics==

			==Isotropic Material Nanowire Growth Dynamics==

			==Anisotropic Material Nanowire Growth Dynamics==

Yanmingw: Created page with '
Summary of Nanowire Growth Mechanism

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2012-06-26T19:11:18Z

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Summary of Nanowire Growth Mechanism
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Summary of Nanowire Growth Mechanism - Revision history

Yanmingw at 21:50, 9 July 2012

Yanmingw at 21:48, 9 July 2012

Yanmingw at 19:55, 26 June 2012

Yanmingw: /* No line tension at trijunction */

Yanmingw: /* No line tension at trijunction */

Yanmingw: /* Isotropic Material Nanowire Statics */

Yanmingw at 19:19, 26 June 2012

Yanmingw: Created page with ' Summary of Nanowire Growth Mechanism Yanming Wang and Seunghwa Ryu…'

Yanmingw: Created page with '
Summary of Nanowire Growth Mechanism

Yanming Wang and Seunghwa Ryu…'