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The maximum packing efficiency of an ionic solid, ${AB}_{2}$ (fluorite structure) is about $(\frac{r_{A^{2 +}}}{r_{B^{-}}} = \sqrt{3} - 1)$

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Important Questions on Solid State

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

In a cubic close packed structure, fractional contributions of an atom at the corner and at the face in the unit cell are, respectively -

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

Copper

(A t o m i c m a s s = 63.5)

crystallizes in a FCC lattice and has density

8 .93 g . {cm}^{- 3} .

The radius of copper atom is closest to

EASY

Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

A metal crystallizes in a face centred cubic structure. If the edge length of its unit cell is

' a'

, the closest approach between two atoms in the metallic crystal will be

EASY

Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

Element

B

forms ccp structure and

A

occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids. The structure of bimetallic oxide is:

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of

4.29 Å

. The radius of sodium atom is approximately:

HARD

Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

Consider the bcc unit cells of the solids $1$ and $2$ with the position of atoms as shown below. The radius of atom $B$ is twice that of atom $A .$ The unit cell edge length is $50 %$ more in solid $2$ than in $1$ . What is the approximate packing efficiency in solid $2$ ?

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EASY

Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

The packing efficiency of the face centered cubic (FCC), body centered cubic (BCC) and simple/primitive cubic (PC) lattices follows the order

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

The percentage of unoccupied volume in simple cubic cell is

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

The vacant space in bcc lattice unit cell is:

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

A mineral consists of a cubic close-packed structure formed by

O^{2 -}

ions where half the octahedral voids are occupied by

A l^{3 +}

and one-eighth of the tetrahedral voids are occupied by

M n^{2 +}

. The chemical formula of the mineral is

MEDIUM

Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure are, respectively :

HARD

Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

Lithium has a bcc structure. Its density is

530 k g m^{- 3}

and its atomic mass is

6.94 g m o l^{- 1}

. Calculated the edge length of a unit cell of Lithium metal.

(N_{A} = 6.02 \times 10^{23} m o l^{- 1})

EASY

Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

a

the length of the side of a cube, the distance between the body centered atom one corner atom in the cube will be

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

In a face centered cubic lattice atoms A are at the corner points and atoms B at the face centered points. If atom B is missing from one of the face centered points, the formula of the ionic compound is :

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

How many total constituent particles are present in simple cubic unit cell?

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

The correct order of the packing efficiency in different types of unit cells is

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

The number of atoms in

2.4 g

of body centred cubic crystal with edge length

200 pm

is (density

= 10 g {cm}^{- 3}, N_{A} = 6 \times 10^{23} atoms {mol}^{- 1}

)

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

A given metal crystallises out with a cubic structure having edge length of

361 pm

. If there are four metal atoms in one unit cell, what is the radius of one atom?

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Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

100^{o} C,

copper

(C u)

has

F C C

unit cell structure with cell edge length of

x Å

. What is the approximate density of

C u

(in

g c m^{- 3}

) at this temperature?

[A t o m i c M a s s o f C u = 63.55 u]

HARD

Chemistry>Physical Chemistry>Solid State>Calculations for Standard Cubical Unit Lattice

The CORRECT statement(s) for cubic close packed (ccp) three dimensional structure is (are)

The maximum packing efficiency of an ionic solid, AB2 (fluorite structure) is about rA2+rB-=3-1

Important Questions on Solid State

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The maximum packing efficiency of an ionic solid, ${AB}_{2}$ (fluorite structure) is about $(\frac{r_{A^{2 +}}}{r_{B^{-}}} = \sqrt{3} - 1)$