(B) In a cubic lattice:$B$ atoms occupy the corners. The number of corners in a cube is $8$,and the contribution of each atom at the corner is $1/8$.N

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(B) In a cubic lattice:$B$ atoms occupy the corners. The number of corners in a cube is $8$,and the contribution of each atom at the corner is $1/8$.Number of $B$ atoms $= 8 \times (1/8) = 1$.$A$ atoms occupy the face centers. The number of faces in a cube is $6$,and the contribution of each atom at the face center is $1/2$.Number of $A$ atoms $= 6 \times (1/2) = 3$.Therefore,the ratio of $A:B$ is $3:1$,and the formula of the alloy is $A_3B$.

Class 12 Chemistry Solid State Crystal structure and Coordination number

Medium

An alloy made up of $A$ and $B$ metals crystallises in a cubic lattice,where $B$ atoms occupy the corners and $A$ atoms occupy the face centers. The formula of the alloy formed is

TS EAMCET 2021 All TS EAMCET

A
$AB_3$
B
$A_3B$
C
$A_2B_3$
D
$A_3B_2$

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Solid State

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Crystal structure and Coordination number

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Potassium fluoride $(KF)$ has an $NaCl$ type structure. What is the distance between $K^{+}$ and $F^{-}$ ions if the unit cell edge length is $a \ cm$?

Medium

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In a crystal of $NaCl$, the distance between $Na^{+}$ and $Cl^{-}$ is $x \, pm$. What is the edge length of the unit cell?

Medium

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$Na$ and $Mg$ crystallise in $b.c.c.$ and $f.c.c.$ type crystals respectively. The number of atoms of $Na$ and $Mg$ present in the unit cell of their respective crystals is:

Medium

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In a cubic crystal structure,'$W$' atoms are at the corners of the cube,'$O$' atoms are at the edges,and '$Na$' atoms are at the body center. Determine the formula of this crystal.

Difficult

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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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An alloy made up of $A$ and $B$ metals crystallises in a cubic lattice,where $B$ atoms occupy the corners and $A$ atoms occupy the face centers. The formula of the alloy formed is

Similar Questions

Potassium fluoride $(KF)$ has an $NaCl$ type structure. What is the distance between $K^{+}$ and $F^{-}$ ions if the unit cell edge length is $a \ cm$?

In a crystal of $NaCl$, the distance between $Na^{+}$ and $Cl^{-}$ is $x \, pm$. What is the edge length of the unit cell?

$Na$ and $Mg$ crystallise in $b.c.c.$ and $f.c.c.$ type crystals respectively. The number of atoms of $Na$ and $Mg$ present in the unit cell of their respective crystals is:

In a cubic crystal structure,'$W$' atoms are at the corners of the cube,'$O$' atoms are at the edges,and '$Na$' atoms are at the body center. Determine the formula of this crystal.

$A$ 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?

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