Embibe Experts Solutions for Chapter: Solid State, Exercise 2: Level 2

Lithium crystallizes in a body centred cubic lattice. How many next-nearest neighbors does each $\mathrm{Li}$ have?

Which of the following shaded planes in $\mathrm{fcc}$ lattice contains the arrangement of atoms as shown by the circles_____

Consider the radii $0.095 \mathrm{nm} \left({\mathrm{Na}}^{+}\right), 0.181 \mathrm{nm} \left({\mathrm{Cl}}^{-}\right),$ $0.074 \mathrm{nm} \left({\mathrm{Zn}}^{2+}\right), 0.184 \mathrm{nm} \left({\mathrm{S}}^{2-}\right), 0.068 \mathrm{nm} \left({\mathrm{Ti}}^{4+}\right),$ $0.140 \mathrm{nm} \left({\mathrm{O}}^{2-}\right) \text{and} 0.169 \mathrm{nm} \left({\mathrm{Cs}}^{+}\right).$ Choose the correct option from the following. (Use radius ratio rules)

The density of crystalline $\mathrm{CsCl}$  is $3.988 \mathrm{g}/\mathrm{cc}$. The volume, effectively occupied by a single $\mathrm{CsCl}$ ion-pair in the crystal is:

The number of atoms in $100 \mathrm{g}$ of an f.c.c. crystal, with density $10 \mathrm{g}/\mathrm{cc}$ and cell edge equal to $100 \mathrm{pm}$, is equal to

An element (atomic mass $=100 \mathrm{g}/\mathrm{mole}$) having b.c.c. structure has unit cell edge $4.00 \stackrel{\mathrm{o}}{\mathrm{A}}$. The density in $\mathrm{g}/\mathrm{cc}$ of the element is

Copper has a face-centred cubic structure with a unit-cell edge length of $3.61 \mathrm{\AA }$. What is the size of the largest atom (in pm), which could fit into the interstices of the copper lattice without distorting it?

[Hint: Calculate the radius of the smallest circle in the figure.]

A face-centred cubic solid of an element (atomic mass $60$) has a cube edge of $4.0 \mathrm{\AA }$ Calculate its density.