JEE Advanced 2015 Chemistry question

ChemistryThe Solid StateJEE Advanced 2015

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

Answer: (A)

Solution

A ccp unit cell has 4 oxide ions, 4 octahedral holes and 8 tetrahedral holes. Charge balance: = . With in octahedral holes and in tetrahedral holes:

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Question ID VK-026401