JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ss073
Atoms of the same radius r are packed in simple cubic (sc), bcc and fcc arrangements. Which statements about the cell volume per atom are correct?
AIn bcc it is 3332r3≈6.16r3.
BIn sc it is 8r3.
CIt is larger in fcc than in bcc.
DIn fcc it is 82r3.
Answer: A, B
sc: a=2r, one atom, so 8r3. bcc: a3=64r3/(33) shared by 2 atoms gives 6.16r3. fcc: a3=162r3 shared by 4 atoms gives 42r3=5.66r3, not 82r3. The fcc value (5.66) is smaller than the bcc value (6.16), so the last statement is false.