A) The fraction of the total volume occupied by the atoms in a primitive cell is 0.48
B) Molecular solids are generally volatile
C) The number of carbon atoms in an unit cell of diamond is 4
D) The number of Bravais lattices in which a crystal can be categorized is 14
Correct Answer: A
Solution :
| [a] Key Idea Packing fraction of lattice structure or fraction of total volume occupied |
| \[=\frac{\text{Volume occupied by atoms in a unit cell}}{\text{Volume of the unit cell}}\] |
| Packing fraction of simple cube |
| \[=\frac{z\times \frac{4}{3}\pi {{r}^{3}}}{{{a}^{3}}}=\frac{1\times \frac{4}{3}\pi {{r}^{3}}}{{{(2r)}^{3}}}\]\[=0.52\] |
| (\[\because \]For primitive cell a = 2r) |
| \[\therefore \]Volume occupied = 52% |
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