Which of the following statements is not corr | vedclass

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(A) The packing fraction of a lattice structure is defined as the fraction of the total volume occupied by the atoms in a unit cell.For a primitive cu

Vedclass · Accepted Answer

The number of carbon atoms in a unit cell of diamond is $8$.

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(A) The packing fraction of a lattice structure is defined as the fraction of the total volume occupied by the atoms in a unit cell.For a primitive cubic unit cell,the number of atoms per unit cell $(z)$ is $1$ and the edge length $(a)$ is $2r$.Packing fraction $= \frac{z 	imes \frac{4}{3} \pi r^{3}}{a^{3}} = \frac{1 	imes \frac{4}{3} \pi r^{3}}{(2r)^{3}} = \frac{\pi}{6} \approx 0.52$.Statement $A$ is incorrect because a diamond unit cell contains $8$ carbon atoms,not $4$. However,in the original options provided,statement $C$ stated $0.48$,which is also incorrect. Given the standard chemistry context,the number of atoms in a diamond unit cell is $8$ (making $A$ incorrect),and the packing fraction of a primitive cell is $0.52$ (making the original $C$ incorrect). Assuming the question asks for the incorrect statement,$A$ is the most fundamentally incorrect statement regarding the diamond structure.

Which of the following statements is not correct?

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