How many atoms are there in a cubic unit cell | vedclass

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Question

(D) cubic unit cell has $8$ corners,and each corner atom contributes $\frac{1}{8}$ to the unit cell. So,atoms from corners $= 8 	imes \frac{1}{8} = 1

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(D) cubic unit cell has $8$ corners,and each corner atom contributes $\frac{1}{8}$ to the unit cell. So,atoms from corners $= 8 	imes \frac{1}{8} = 1$.There are $4$ body diagonals in a cube. Each body diagonal contains $2$ atoms. Since these atoms are inside the body,they contribute fully to the unit cell.So,atoms from body diagonals $= 4 	imes 2 = 8$.Total number of atoms $= 1 + 8 = 9$.

How many atoms are there in a cubic unit cell having one atom on each corner and two atoms on each body diagonal of a cube?

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