Solid State Questions

Structure of a mixed oxide is cubic close-packed (c.c.p). The cubic unit cell of mixed oxide is composed of oxide ions. One fourth of the tetrahedral voids are occupied by divalent metal $A$ and the octahedral voids are occupied by a monovalent metal $B$. The formula of the oxide is:

In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion (${\text{Ca}}^{2+}$) and fluoride ion (${\text{F}}^{-}$) are:

The ionic radii of ${\text{A}}^{\oplus }$ and ${\text{B}}^{\ominus }$ ions are $0.98\times 10^{-10}\text{m}$ and $1.81\times 10^{-10}\text{m}$. The coordination number of each ion in $\text{AB}$ is:

Lithium has a $bcc$ structure. Its density is $530{\text{kg/m}}^3$ and its atomic mass is $6.94\text{g/mol}$. Calculated the edge length of a unit cell of Lithium metal ($N_A=6.02\times 10^{23}{\text{mol}}^{-1}$):

The correct statement regarding defects in crystalline solids is:

The vacant space in bcc lattice unit cell is:

If $a$ is the length of the side of a cube, the distance between the body centred atom and one corner atom in the cube will be:

A metal has an FCC lattice with edge length $404\text{pm}$ and density $2.72{\text{g/cm}}^3$. The molar mass of the metal is:

The number of carbon atoms per unit cell of diamond unit cell is:

The number of octahedral void(s) per atom present in a cubic close-packed structure is:

A metal crystallizes with a face-centered cubic (FCC) lattice. The edge of the unit cell is $408\text{pm}$. The diameter of the metal atom is:

If $Z$ is the number of atoms in the unit cell that represents the closest packing sequence ... $ABCABC$ ..., the number of tetrahedral voids in the unit cell is equal to:

A solid $XY$ has $\text{NaCl}$ structure. If the radius of the cation is $100\text{pm}$, the radius of the anion ($Y^{-}$) will be:

$\text{AB}$ crystallizes in a body centred cubic lattice with edge length '$a$ ' equal to $387\text{pm}$. The distance between two oppositely charged ions in the lattice is:

Copper crystallises in a face-centred cubic lattice with a unit cell length of $361\text{pm}$. What is the radius of copper atom in $\text{pm}$?

Lithium metal crystallises in a body centred cubic crystal. If the length of the side of the unit cell of lithium is $351\text{pm}$, the atomic radius of the lithium will be:

Percentage of free space in a body centred cubic unit cell is:

If 'a' stands for the edge length of the cubic systems: simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively:

If $\text{NaCl}$ is doped with $10^{-4}\text{ mol\%}$ of ${\text{SrCl}}_2$, the concentration of cation vacancies will be ($N_A=6.02\times 10^{23}{\text{ mol}}^{-1}$):

The fraction of total volume occupied by the atoms present in a simple cube is:

The appearance of colour in solid alkali metal halides is generally due to :

CsBr crystallises in a body centred cubic lattice. The unit cell length is $436.6\text{pm}$. Given that the atomic mass of Cs = $133\text{amu}$ and that of Br = $80\text{amu}$ and Avogadro number being $6.02\times 10^{23}{\text{mol}}^{-1}$, the density of CsBr is :