wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

In a simple cubic lattice of anions, the side length of the unit cell is 3.0 oA. The diameter of the void in the body centre is

A
0.46 oA
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2.2 oA
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
4.9 oA
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1.7 oA
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2.2 oA
In a simple cubic lattice, the atoms are present at the eight corners of the cube and they touching each other on the edges such that a = 2r
Where,
a is the edge length of the cube
r is the radius of the sphere/atom

Here, the vacant space in body centre is surrounded by eight atoms at corners. Hence, it is a cubical void.

Body diagonal of cubic lattice =a3

The body diagonal contains 2 radii of lattice atoms and the diameter (2R) of central cubical void
Length of body diagonal=a3=2r+2Ra+D
Diameter of the void in the body center,
D=a3a
=(33)3
=3(31)=2.2 oA

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Percentage Composition and Molecular Formula
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon