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Question

(B) In an $fcc$ (face-centered cubic) unit cell,the number of particles per unit cell $(Z)$ is $4$. The packing efficiency of an $fcc$ unit cell is $7

Vedclass · Accepted Answer

$2.96 	imes 10^{-24} \ cm^3$

Vedclass · Answer

(B) In an $fcc$ (face-centered cubic) unit cell,the number of particles per unit cell $(Z)$ is $4$. The packing efficiency of an $fcc$ unit cell is $74\%$. The volume occupied by all particles in the unit cell is $0.74 	imes 	ext{Volume of unit cell} = 0.74 	imes 1.6 	imes 10^{-23} \ cm^3 = 1.184 	imes 10^{-23} \ cm^3$. The volume occupied by a single particle is $\frac{1.184 	imes 10^{-23} \ cm^3}{4} = 2.96 	imes 10^{-24} \ cm^3$.

Calculate the volume occupied by a particle in $fcc$ unit cell if the volume of the unit cell is $1.6 \times 10^{-23} \ cm^3$.

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