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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              (JEE Adv. 2015)
  • a)
    1/2 , 1/8
  • b)
    1 , 1/4
  • c)
    1/2 , 1/2
  • d)
    1/4 , 1/8
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 by Al3+
and m = fraction of tetrahedral holes occupied by Mg2+
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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 (JEE Adv. 2015)a)1/2 , 1/8b)1 , 1/4c)1/2 , 1/2d)1/4 , 1/8Correct answer is option 'A'. Can you explain this answer?
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