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What percentage of an atom located at body-centre of a cubic unit cell is part of its neighbouring unit cell ?

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Important Questions on The Solid State

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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>The Solid State>Close Packed Structures And Packing Efficiency

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>The Solid State>Close Packed Structures And Packing Efficiency

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>The Solid State>Close Packed Structures And Packing Efficiency

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

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

The vacant space in bcc lattice unit cell is:

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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>The Solid State>Close Packed Structures And Packing Efficiency

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

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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>The Solid State>Close Packed Structures And Packing Efficiency

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

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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>The Solid State>Close Packed Structures And Packing Efficiency

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>The Solid State>Close Packed Structures And Packing Efficiency

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})

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

The percentage of unoccupied volume in simple cubic cell is

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

A cubic solid is made of two elements

P

and

Q

. Atom of

Q

are at the corners of the cube and

P

at the body centre. What is the formula of the compound? What are the coordination numbers of

P

and

Q

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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

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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]

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Chemistry>Physical Chemistry>The Solid State>Close Packed Structures And Packing Efficiency

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:

What percentage of an atom located at body-centre of a cubic unit cell is part of its neighbouring unit cell ?

Important Questions on The Solid State

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