Question
Download Solution PDFThe ratio of number of atoms present in a simple cubic, body centred cubic and face centred cubic structure are, respectively:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
|
Unit Cell |
Coordination No. |
No. of Atoms Per Unit Cell |
Atomic packing factor |
|
Simple Unit Cell |
6 |
1 |
52% |
|
Body-centred Cubic |
8 |
2 |
68% |
|
Face-centred Cubic |
12 |
4 |
74% |
|
Hexagonal Closest Packed |
12 |
6 |
74% |
|
Diagram |
|
|
|
|
Effective no. of lattice points |
\(\Rightarrow \frac{1}{8} \times 8 = 1\) |
\(\frac{1}{8} \times 8 + 1 = 2\) |
\(\frac{1}{8} \times 8 + \frac{1}{2} \times 6 = 4\) |
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