calculate the number of atoms in cubic based unit cell having one atom at each corner and two atoms at - Chemistry - The Solid State

Question

calculate the number of atoms in cubic based unit cell having
one atom at each corner and two atoms at body diagonal

Anuradha Puri · Accepted Answer

Number of body diagonals in a cube = 4

Therefore, number of atoms on the body diagonals = 2 x 4 = 8

These atoms lie within the unit cell and are not shared

Contribution from the atoms at the corner = 8 x 1/8 =1

Therefore, total number of atoms in the cubic unit cell = 8 + 1 =
9

calculate the number of atoms in cubic based unit cell having one atom at each corner and two atoms at body diagonal.