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If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedral holes occupied by magnesium ions, m and n, respectively are:
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the unit cell of a mineral has cubic close packed (ccp) array of ox...
In ccp, O2– ions are 4.
Hence total negative charge = –8
Let Al3+ ions be x, and Mg2+ ions be y.
Total positive charge = 3x + 2y

⇒ 3x + 2y = 8
This relation is satisfied only by x = 2 and y = 1.
Hence number of Al3+ = 2.
and number of Mg2+ = 1.
⇒n = fraction of octahedral holes occupied byAl3+ =2/4=1/2

and m = fraction of tetrahedral holes occupied by Mg2+ =1/8

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If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedral holes occupied by magnesium ions, m and n, respectively are:a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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