Calculate the ionic packing factor for (a) MnO and (b) SrO. Ionic radii are Mn2+ = 0.091 nm, Sr2+ = 0.127 nm, and O2− = 0.132 nm.
(a)
The ionic packing factor for manganese oxide
Answer to Problem 71AAP
The ionic packing factor for manganese oxide
Explanation of Solution
Write the expression to calculate lattice constant of manganese oxide structure
Here, ionic radius of
Write the expression to ionic packing factor for manganese oxide
Here, number of atoms of
Conclusion:
Substitute
There will be four manganese ions and four oxygen ions present in a single unit cell of manganese oxide.
Substitute
Thus, the ionic packing factor for manganese oxide
(b)
The ionic packing factor for strontium oxide
Answer to Problem 71AAP
The ionic packing factor for strontium oxide
Explanation of Solution
Write the expression to calculate lattice constant of strontium oxide structure
Here, ionic radius of
Write the expression to ionic packing factor for strontium oxide
Here, number of atoms of
Conclusion:
Substitute
There will be 4 strontium ions and 4 oxygen ions present in a single unit cell of strontium oxide.
Substitute
Thus, the ionic packing factor for strontium oxide
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Chapter 11 Solutions
Foundations of Materials Science and Engineering
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