2+ In a cubic closest packed structure of mixed oxides, the lattice is made up of oxide ions. Tetrahedral voids are occupied by divalent X²+ ions and octahedral voids are occupied by trivalent Y3+ ions. If only 50% of the octahedral voids are occupied, then the percentage of tetrahedral voids occupied is (b) 12.5%
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Answer:
ʟᴇᴛ ᴛʜᴇʀᴇ ʙᴇ 80 ᴏ
2−
ɪɴ ᴛʜᴇ ᴄʀʏsᴛᴀʟ.
∴ ᴏᴄᴛᴀʜᴇᴅʀᴀʟ ᴠᴏɪᴅs =80
ᴛᴇᴛʀᴀʜᴇᴅʀᴀʟ ᴠᴏɪᴅs =160
ᴀ
2+
ɪᴏɴs =
8
1
×160=20
ʙ
3+
ɪᴏɴs=
2
1
×80=40
ᴀ
2+
:ʙ
3+
:ᴏ
2−
=20:40:80
=1:2:4.
∴ ғᴏʀᴍᴜʟᴀ ɪs ᴀʙ
2
ᴏ
4
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