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KVPY SX SB Exam 05-Nov-2017 Question Paper
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© examsnet.com
Question : 59
Total: 120
A mineral consists of a cubic close-packed structure formed by O
2
–
ions where half the octahedral voids are occupied by Al
3
+
and one-eighth of the tetrahedral voids are occupied by Mn
2
+
. The chemical formula of the mineral is
M
n
3
A
l
2
O
6
M
n
A
l
2
O
4
M
n
A
l
4
O
7
M
n
2
A
l
2
O
5
Validate
Solution:
No of O
–
2
per unit cell =
8
×
1
8
+
6
×
1
2
=
4
No of Al
+
3
per unit cell
=
4
×
1
2
=
2
No of Mn
+
2
per unit cell
=
8
×
1
8
=
1
M
n
A
l
2
O
4
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