What is the percentage void per unit cell and volume of unit cell in hexagonal close packing (HCP)?
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Answer:
, the void space in the body centred cubic unit cell will be (100-68) = 32%. The packing fraction of hexagonal close packing is 74%. So, the void space in hexagonal close packing will be (100-74) = 26%
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48%, 32%, 26%
Common sphere packings taken on by atomic systems are listed below with their corresponding packing fraction.
Simple cubic: 52%
Body-centered cubic (bcc): 68%
Hexagonal close-packed (hcp): 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 %.
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