FCC and BCC unit cells are pictured along with intersections of planes with the unit cells. For each plane pictured, complete the table by writing indices for the family of planes, dimensions of the pictured area $($in terms of lattice parameter a and atomic radius $R),$ number of atomic intersections $($i$.$e$.,$ circles$),$ intersected area $($in terms of $R^2),$ planar density, and planar packing fraction. The first one has been completed for you as an example.

FCC

$\backslash$table$[[$Indices$,\{110\},|l|,],[w,\sqrt[\phantom{2}]{?}2a=4R,,],[h,a=(\frac{4}{\sqrt[\phantom{2}]{?}}2)R,,],[$# atoms,$4(\frac{1}{4})+2(\frac{1}{2})=2,,],[$Planar Area,$wh=11\mathrm{.}31R^2,\frac{1}{2},],[$Planar Density,$\frac{2}{11\mathrm{.}31R^2}=\frac{0\mathrm{.}18}{R^2},,],[$Planar Packing Fraction,$\frac{2(R^2)}{11\mathrm{.}3R^2}=0\mathrm{.}56,,]]$

BCC

$\backslash$table$[[$Indices$,,],[w,a(\sqrt[\phantom{2}]{3})=4R,],[h,\frac{4}{\sqrt[\phantom{2}]{3}}R,],[$# atoms,$4*\frac{1}{4}+1=2,\frac{4}{4}=$