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We can see that temperature plays an important role in determining whether the synthesis is controlled by thermodynamics or kinetics.  It is interesting to point out that the thermodynamic product only depends on the final state, while the kinetic product depends on the exact process.  Xia et al. have comprehensively reviewed the perspective between thermodynamic and kinetic products in the shape-controlled synthesis of colloidal metal nanocrystals \cite{Xia_2015}.  The growth process of metal nanocrystals consists of atoms initially adding to a specific site on the nanocrystal surface (atom deposition) and migrating to the site lowest in surface free energy (surface diffusion).  It is energetically favorable for the atoms Atoms tend  to deposit at the most active site of the nanocrystal surface region  with the highest surface free energy.  The energy, such as corners, edges, and high-index facets.  This is because it is energetically favorable to stabilize the most active sites of the  nanocrystal surface.  The  shape of the nanocrystal  will be determined by the relative magnitudes of the atom deposition rate (V_{deposition}) and the surface diffusion rate (V_{diffusion}). The relative magnitudes can be concisely represented by the ratio between the rates for atom deposition and surface diffusion (V_{deposition}/V_{diffusion}).  Xia et al. have comprehensively reviewed the perspective between thermodynamic When V_{deposition}/V_{diffusion} << 1, atoms deposited at the active region are able to diffuse quickly to the more stable sites,  and kinetic products thus the synthesis is under thermodynamic control.  The thermodynamic product is the nanocrystal shape with the minimum surface free energy.  The surface free energy is different for each crystallographic planes.  Among the low-index planes of an fcc metal, the surface free energies in vacuum increase in the order of (111) < (100) < (110).  The equilbrium shape of a nanocrystal  in a vacuum can be theoretically predicted by the Wulff construction \cite{Bodineau_1999}.  In  theshape-controlled  synthesis of colloidal metal nanocrystals \cite{Xia_2015}. nanocrystals, capping agents such as ionic species, small molecules, and polymers can selectively bind to different facets and alter their specific surface free energies.  The final shape of the nanocrystal can be altered by capping agents through this mechanism if the synthesis is under thermodynamic control.  On the other hand when V_{deposition}/V_{diffusion} >> 1, most deposited atoms stay at the high surface energy region since they do not diffuse fast enough.  In this case, the synthesis is under kinetic control.  Kinetically controlled shapes depend on the relative deposition rates to different facets of the nanocrystal, which the shape can be predicted by the kinetic Wulff construction \cite{Zhang_2006}.  Various experimental parameters can influence the rates for atom deposition and surface diffusion.  Xia 2013 Surface diffusion 
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