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\section{Gold Catalyzed Synthesis}  Many of the common NW synthesis techniques can be used for the III-V NW synthesis of GaAs, such as Vapor-Liquid-Solid (VLS), molecular beam epitaxy (MBE), Metal Organic Phase epitaxy (MOVPE). Chemical vapor deposition (MOCVD).  There also exist many techniques that improve on these earlier methods such as laser ablation. Vapor-Liquid-Solid growth (VLS) is common for nanowire synthesis and has been used for GaAs nanowire growth.\cite{Hu_1999} A catalytic liquid phase droplet is formed (in the case of GaAs NW, the catalyst could be Cu, Ag or Au) on the solid surface of the substrate, the droplet quickly absorbs the vapor becoming supersaturated to the point that crystal growth begins.\cite{9781420067828} Historically it is known that the radius limit of nanowires grown this way depends on the formation and stability of the liquid catalyst cluster beads, for which the minimum radius ($r_{min}$) of the wire is given by equation \ref{eq:vls_limit} and is limited by equilibrium conditions ($T$ is growth temperature, $V_l$ is the liquid molar volume, $\sigma$ is the degree of vapor pressure saturation and $\sigma_{LV}$ is the liquid-vapor interfacial energy) .\cite{9781420067828}  \begin{equation}