Match column I with column II and column III ( = Edge length of unit cell, = radius of spherical con — Solid State Chemistry Question

💡 Solution & Explanation

In simple cubic, $l = 2r$ and packing fraction is $\approx 52.33\%$. In FCC, atoms touch along the face diagonal, so $l\sqrt{2} = 4r$ and packing fraction is $74\%$. In BCC, atoms touch along the body diagonal, so $l\sqrt{3} = 4r$ and packing fraction is $\approx 68\%$. Therefore, correct pairs are A $\rightarrow$ Q, W; B $\rightarrow$ P, U; C $\rightarrow$ R, V.