# Which of the foll

(i) In a simple cubic lattice the atoms are located only at the corners of the cube.

Let us assume the edge length or the side of the cube = a

And the radius of each particle = r

The relation between radius and edge a

Can be given as a = 2r

The volume of the cubic unit cell = side3 = a3

= (2r3)

= 8r3

Number of atoms in unit cell The volume of the occupied space And we know that, the packing efficiency   = 52.36%

(ii) Let us assume the edge length or the side of the cube = a

And the radius of each particle = r

The diagonal of a cube is always a The relation between radius and the edge will be = 4r

Divide by root 3 we get A Total number of atoms in body centred cubic

Number of atoms at the corner Number of atoms at the centre = 1

Total number of atoms = 2

The volume of the cubic unit cell = side3

= a3

= (4r/a√3)3

The volume of the occupied space Packing efficiency   = 68%

(iii) Let the base of the hexagon is a and the height is c

Each angle in hexagonal will be 60 degree at the base

Packing efficiency of

Hexagonal close- packed lattice  a = 2r c = 1.633a  = 74%

Thus, hexagonal close- packed lattice has the highest packing efficiency of 74%.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

An element ‘X<Chemistry - Board Papers

Note : In the folChemistry - Exemplar

The correct orderChemistry - Exemplar

The edge lengths Chemistry - Exemplar

A cubic solid is NCERT - Chemistry Part-I

If the radius of NCERT - Chemistry Part-I

Which of the follNCERT - Chemistry Part-I