(B) In an $FCC$ unit cell,there are $8$ corners and $6$ face centers. Number of atoms of $A$ initially at corners $= 8 \times \frac{1}{8} = 1$. After

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(B) In an $FCC$ unit cell,there are $8$ corners and $6$ face centers. Number of atoms of $A$ initially at corners $= 8 \times \frac{1}{8} = 1$. After removing $4$ atoms from corners,remaining atoms of $A = (8 - 4) \times \frac{1}{8} = 4 \times \frac{1}{8} = \frac{1}{2}$. Number of atoms of $B$ at face centers $= 6 \times \frac{1}{2} = 3$. The ratio of $A:B = \frac{1}{2} : 3 = 1 : 6$. Therefore,the empirical formula is $AB_6$.

Class 12 Chemistry Solid State Crystal structure and Coordination number

Easy

In a face-centered cubic $(FCC)$ arrangement,atoms $A$ are present at the corners and atoms $B$ are present at the face centers. If $4$ atoms of $A$ are removed from the corners,what is the empirical formula of the compound?

A
$A_4B_4$
B
$AB_6$
C
$A_2B_2$
D
$A_3B_4$

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Solid State

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Crystal structure and Coordination number

An oxide of $A$ crystallizes with $8$ atoms at the corners of the unit cell and $18$ oxygen atoms on the edges and on the faces symmetrically. What is the formula of this oxide?

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In a $ccp$ lattice of $X$ and $Y$,$X$ atoms are present at the corners while $Y$ atoms are at face centers. What would be the formula of the compound if one of the $X$ atoms from a corner is replaced by a $Z$ atom?

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$A$ compound made of elements $A$ and $B$ forms an $fcc$ structure. Atoms of $A$ are at the corners and atoms of $B$ are present at the centres of the faces of the cube. What is the formula of the compound?

MediumMHT CET 2023

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Which of the following has a $4:2$ coordination number structure?

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In a body-centered cubic $(BCC)$ unit cell,how many metal atoms surround the metal atom located at the center of the cell?

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In a face-centered cubic $(FCC)$ arrangement,atoms $A$ are present at the corners and atoms $B$ are present at the face centers. If $4$ atoms of $A$ are removed from the corners,what is the empirical formula of the compound?

Similar Questions

An oxide of $A$ crystallizes with $8$ atoms at the corners of the unit cell and $18$ oxygen atoms on the edges and on the faces symmetrically. What is the formula of this oxide?

In a $ccp$ lattice of $X$ and $Y$,$X$ atoms are present at the corners while $Y$ atoms are at face centers. What would be the formula of the compound if one of the $X$ atoms from a corner is replaced by a $Z$ atom?

$A$ compound made of elements $A$ and $B$ forms an $fcc$ structure. Atoms of $A$ are at the corners and atoms of $B$ are present at the centres of the faces of the cube. What is the formula of the compound?

Which of the following has a $4:2$ coordination number structure?

In a body-centered cubic $(BCC)$ unit cell,how many metal atoms surround the metal atom located at the center of the cell?

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