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Question
The packing fraction for a body-centred cube is
Options
0.42
0.53
0.68
0.82
MCQ
Solution
0.68
Explanation:
| Unit cell | Number of atoms at | No. of atoms per unit cell |
Volumed occupied by particles (%) |
||
| Corners | Centres | Faces | |||
| Simple cube | `8 xx 1/8 = 1` | 0 | 0 | 1 | 52.4 |
| Body centred cube (BCC) | `8 xx 1/8 = 1` | 1 | 0 | 2 | 68 |
| Face centred cube (FCC) | `8 xx 1/8 = 1` | 0 | `6 xx 1/2 = 3` | 4 | 74 |
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