(C) Atoms $A$ are present at the $8$ corners of the cube. The contribution of each corner atom to the unit cell is $\frac{1}{8}$.Number of $A$ atoms p

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(C) Atoms $A$ are present at the $8$ corners of the cube. The contribution of each corner atom to the unit cell is $\frac{1}{8}$.Number of $A$ atoms per unit cell $= 8 \times \frac{1}{8} = 1$.Atoms $B$ are present at the body center of the cube. The contribution of a body-centered atom is $1$.Number of $B$ atoms per unit cell $= 1 \times 1 = 1$.Therefore,the ratio of $A:B$ is $1:1$,and the simplest formula of the compound is $AB$.

Class 12 Chemistry Solid State Crystal structure and Coordination number

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$A$ compound is formed by elements $A$ and $B$. This crystallizes in a cubic structure where atoms $A$ are at the corners of the cube and atoms $B$ are at the body center. The simplest formula of the compound is:

AIPMT 2000 All AIPMT

A
$AB_3$
B
$AB_2$
C
$AB$
D
$A_2B$

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Solid State

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Crystal structure and Coordination number

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$(i)$ What is meant by the term 'coordination number'?
$(ii)$ What is the coordination number of atoms:
$(a)$ in a cubic close-packed structure?
$(b)$ in a body-centred cubic structure?

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What is the mass of an $fcc$ unit cell if the mass of one atom of an element is $6 \times 10^{-23} \ g$?

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In $CsCl$ lattice,the coordination number of $Cs^{+}$ ion is:

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$A$ solid compound contains atoms $X, Y,$ and $Z$. In its unit cell,atoms $X$ are at the corners,atoms $Y$ are at the body center,and atoms $Z$ are at the face centers. The formula of the compound is:

Medium

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Argon crystallizes in such a way that the positions of the atoms are at $(0, 0, 0)$,$(0, 1/2, 1/2)$,$(1/2, 0, 1/2)$,and $(1/2, 1/2, 0)$. The type of unit cell is:

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$A$ compound is formed by elements $A$ and $B$. This crystallizes in a cubic structure where atoms $A$ are at the corners of the cube and atoms $B$ are at the body center. The simplest formula of the compound is:

Similar Questions

$(i)$ What is meant by the term 'coordination number'?$(ii)$ What is the coordination number of atoms:$(a)$ in a cubic close-packed structure?$(b)$ in a body-centred cubic structure?

What is the mass of an $fcc$ unit cell if the mass of one atom of an element is $6 \times 10^{-23} \ g$?

In $CsCl$ lattice,the coordination number of $Cs^{+}$ ion is:

$A$ solid compound contains atoms $X, Y,$ and $Z$. In its unit cell,atoms $X$ are at the corners,atoms $Y$ are at the body center,and atoms $Z$ are at the face centers. The formula of the compound is:

Argon crystallizes in such a way that the positions of the atoms are at $(0, 0, 0)$,$(0, 1/2, 1/2)$,$(1/2, 0, 1/2)$,and $(1/2, 1/2, 0)$. The type of unit cell is:

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$(i)$ What is meant by the term 'coordination number'?
$(ii)$ What is the coordination number of atoms:
$(a)$ in a cubic close-packed structure?
$(b)$ in a body-centred cubic structure?