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\section{Nanowire Crystal Structure and Growth parameters}  GaAs typically adopt Cubic zince blende (ZB) structure or hexagonal wurzite (WZ) structure. \cite{Glas_2007} Each crystal structure is responsible for different properties of the NW.\cite{Zhou_2014} Each crystal structure is composed by staking bilayers, the ZB has a ABCABC stacking sequence and WZ have a ABABAB stakcing sequence.\cite{Morral_2011} WZ nanowires form hexagonal prism. When GaAs NW have diameters below 40 nm the WZ structure is adopted, and for diameters greater than 40 nm teh ZB structure tends to be adopted\cite{Shtrikman_2009}