JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ss128
For identical spheres of radius r arranged in simple cubic (sc), bcc and fcc lattices, which statements are correct?
AThe coordination numbers are 6, 8 and 12 respectively.
BIn bcc the edge is a=22r.
CThe packing efficiencies are about 52%, 68% and 74% respectively.
DIf atomic mass and radius are the same, the density order is fcc > bcc > sc.
Answer: A, C, D
CN: 6, 8, 12 and efficiencies 52, 68, 74 percent are standard. For equal r and M, ρ∝Z/a3: sc =1/8=0.125, bcc =2/(4/3)3=0.1624, fcc =4/(22)3=0.1768, so fcc > bcc > sc. In bcc a=4r/3, so B is wrong.