CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the radius of the octahedral void is r and radius of the atoms in close-packing is R, derive relation between r and R.

Open in App
Solution

Let the radius of the octahedral void be r and radius of the atoms in close-packing be R and the edge length be a.

In the right angle triangle ABC,

AB=BC=a

For the diagonal AC,

AC=AB2+BC2=a2+a2=2a

Also, ACAB=2aa

And, AB=2R

AC=R+2r+R=2R+2r

2R+2r2R=2

r=0.414R

Hence, the relation is r=0.414R.

475539_457397_ans_be1b7a9aeaf843e38352e4e059cacc1a.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Types of Unit Cell
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon