1.16 A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy 1/3rd of tetrahedral voids. What is the formula of the compound?
1.16 A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy 1/3rd of tetrahedral voids. What is the formula of the compound?
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1 Answer
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1.16 The atoms of element M occupy 1/3rd of the tetrahedral voids.
Therefore, the number of atoms of M is equal to 2 1/3 = 2/3rd of the number of atoms of N. Therefore, ratio of the number of atoms of M to that of N is M : N = (2/3):1 = 2:3 Thus, the formula of the compound is M2N3.
ccp= fcc = 6 * 1/2 + 8 X 1/8 = 4 = N atoms
Tetrahedral void= 8 (in fcc)
Number of M atoms = 8/3
So empirical formula = M 8/3 N2 = M2N3
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