In a face-centered cubic arrangement of atoms | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) In a face-centered cubic unit cell,there are $8$ corners and $6$ face centers.Number of atoms $A$ at corners $= 8 	imes \frac{1}{8} = 1$.If one a

Vedclass · Accepted Answer

$A_7B_{24}$

Vedclass · Answer

(C) In a face-centered cubic unit cell,there are $8$ corners and $6$ face centers.Number of atoms $A$ at corners $= 8 	imes \frac{1}{8} = 1$.If one atom $A$ is missing from one corner,the number of atoms $A$ per unit cell $= 7 	imes \frac{1}{8} = \frac{7}{8}$.Number of atoms $B$ at face centers $= 6 	imes \frac{1}{2} = 3$.The ratio of $A : B = \frac{7}{8} : 3$.Multiplying both sides by $8$,we get $A : B = 7 : 24$.Therefore,the simplest formula of the compound is $A_7B_{24}$.

In a face-centered cubic arrangement of atoms $A$ and $B$,atoms $A$ are at the corners of the unit cell and atoms $B$ are at the face centers. If one atom $A$ is missing from one corner of the unit cell,what is the simplest formula of the compound?

Similar Questions

If the coordination number of an element in its crystal lattice is $8$,what will be its packing structure?

The coordination number in $hcp$ is

$Zn$ transforms from its solid state to its molten state. What is its coordination number in the molten state?

In an $AgI$ crystal,$I^{-}$ ions form a close-packed structure. What percentage of the tetrahedral voids is occupied by $Ag^{+}$ ions?

In a $bcc$ unit cell,what is the number of atoms per unit cell?

Vedclass Test Series

Exam Paper Generator

Online Exam Module