wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A crystal is made up of particles X, Y and Z. X forms FCC packing, Y occupies all octahedral voids of X and Z occupies all tetrahedral voids of X. If all the particles along one body diagonal are removed, then the formula of the crystal would be:

A
XYZ2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
X2YZ2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
X8Y4Z5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
X5Y4Z8
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D X5Y4Z8
If all the particles along one body diagonal is removed.
Zeff of X is 12×6(faces) +18×6 ( Total 82(removed corner atoms) =6 )
=3+0.75=3.75
Two tetrahedral voids will be removed along one body diagonal.
Remaining =82=6
Effective number of Z=6
One octahedral void that is present on body centre is removed
Remaining =41=3
Effective number of Y=3
Formula of crystal =X3.75Y3Z6=X5Y4Z8

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