- AThe number of the nearest neighbours of an atom present in the topmost layer is 12
- BThe efficiency of an atom packing is 74%
- CThe number of octahedral and tetrahedral voids per atom are 1 and 2, respectively
- DThe unit cell edge length is times the radius of the atom
View written solutionFree
Correct answer: C, B, D
- Identify the structure
Cubic close packing (ccp) is the same as face-centered cubic (fcc) packing.
For ccp/fcc:
- Coordination number of a bulk atom
- Packing efficiency
- Number of octahedral voids per atom
- Number of tetrahedral voids per atom
- Edge length relation:
- Check each option
Option A:
"The number of the nearest neighbours of an atom present in the topmost layer is 12"
This statement is not correct as written.
In a ccp structure, an atom in the bulk has coordination number . But an atom in the topmost layer is on the surface, so it does not have all 12 nearest neighbours because atoms are missing above it.
Hence, A is incorrect.
Option B:
"The efficiency of an atom packing is 74%"
For ccp/fcc packing,
Hence, B is correct.
Option C:
"The number of octahedral and tetrahedral voids per atom are 1 and 2, respectively"
In ccp/fcc packing:
- octahedral voids per atom
- tetrahedral voids per atom
Hence, C is correct.
Option D:
"The unit cell edge length is } 2\sqrt 2 \text{ times the radius of the atom"
For fcc, atoms touch along the face diagonal.
Face diagonal
Along one face diagonal, there are four radii:
Hence, D is correct.
- Final derived answer
Correct statements are:
- Comparison with stored correct answer
Stored correct answer: C, B, D
This matches my derived answer exactly (order does not matter).
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