Question

The percentages of void space for simple cubic, body centred cubic and hexagonal close packed arranged respectively are:

• A. 48, 32, 26
• B. 48, 26, 32
• C. 26, 48, 32
• D. 32, 48, 26

Answer 1

The correct option is A 48, 32, 26

^{Common sphere packings taken on by atomic systems are listed below with their corresponding packing fraction.
Simple cubic: 0.52 or 52%
Body-centered cubic (bcc): 0.68 or 68 %
Hexagonal close-packed (hcp): 0.74 or 74%
Now the percentage of void space = 100 - Packing percentage
For simple cubic = 100 - 52 = 48 %
For body centred cubic = 100 - 68 = 32 %
For Hexagonal close packed = 100 - 74 = 26 %.}