$3\mathrm{.}9.$ The figure below $($from $[29])$ shows two palladium particles on a graphite sub$-$

strate viewed along $($a and $($b

$($a$)$ Locate the origin $($Wulff point$)$ in both figures.

$($b$)$ Determine the ratio of the surface energy anisotropy for the $\{100\}$ and

$\{110\}$ surfaces relative to the $\{111\}$ surface by measuring the lengths of

vectors from the origin according to the construction in Figure $3\mathrm{.}12.$

$($c$)$ Compare the ratio $\frac{{}_{\{100\}}^{S{V}_{00}}}{{}_{\{11\}}}$ determined in part b with the same ratio

determined by comparing the lengths of the $\{100\}$ and $\{111\}$ facets, and

by comparing the angular width of these facets with respect to the origin.

How do your measurements compare?