Atomic Positions:
\(0 0 0\)
Atoms touch along body diagonal:
Coordination \(= \color{maroon}{6}\)
Atoms per unit cell:
\(n = N_i + {N_f \over 2} + {N_c \over 8} = 0 + 0 + 1 = 1 \)
Lattice parameter:
\(a = \color{red}{2 r_{\mathrm{SC}}}\)
Atomic packing factor:
(APF) = \({n V_{\mathrm{atom}} \over V_{\mathrm{u.c}}} = \color{red}{0.52} \)
Calculate density:
\(\rho = {\color{green}{n} \color{maroon}{A} \over \color{darkcyan}{V_{\mathrm{u.c.}}} \color{purple}{N_{\mathrm{A}}}}\)