deletions | additions       diff --git a/Vapor_Liquid_Solid_growth_is__.tex b/Vapor_Liquid_Solid_growth_is__.tex  index ee37adc..4be8cad 100644  --- a/Vapor_Liquid_Solid_growth_is__.tex  +++ b/Vapor_Liquid_Solid_growth_is__.tex 
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Vapor-Liquid-Solid growth is common for nanowire synthesis and also works for GaAs nanowire growth. Historically it is known that the radius limit of nanowires grown this way depends on the formation and stability of the liquid catalyst beads. The minimum radius of the wire is given by equation \ref{eq:vls_limit}  \begin{equation}  \label {eq:vls_limit}  r_{min}=\frac{2\sigma_{LV}V_{L}}{2} r_{min}=\frac{2\sigma_{LV}V_{L}}{RT \sigma}  \end{equation}  Using typical values of GaAs nanowire growth for equation \ref{eq:vls_limit} a limit of $2 \mu m$ is found.  Laser ablation,   Over the past several years many methods for bulk nanowire synthesis has emerged, including laser ablation, template , solution.