Interstitial site: Imagine trying to fit a C atom into an octahedral interstitial in FCC Fe $($see

diagram below$).$ Use the following values for atomic radius: RFe $=0\mathrm{.}124$ nm and RC $=0\mathrm{.}071$

nm$.$

a$.$ Write the equation for lattice parameter.

b$.$ Calculate the lattice parameter for Fe$.$

c$.$ Write an equation that describes the space available in the interstitial site. Your

answer should only be in terms of lattice parameter and atomic radii.

d$.$ Calculate the space available for an atom in the octahedral interstitial site.

e$.$ Would the C atom generate lattice strain in this interstitial site?