A) For BCC iron, calculate the diameter of the minimum space available in an octahedral site at the center of the (010) plane. Assume that the iron atoms in the BCC structure are hard spheres that touch along the [111] direction, and the lattice parameter (a) of BCC iron is 0.2866 nm. (b) Compare the space available with the size of a carbon atom (radius 0.077 nm), and comment about the potential solubility of carbon in BCC iron in octahedral interstitial sites.