The molecules of element Y form hcp lattice and the molecules of element A are engaged in 1/3 of the isotopic holes. What is the formula for the combination formed by the elements X and Y?
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Explanation:
Given that, atoms of B forms hcp lattice. So, the atoms at corners are shared by 6 unit cells. So, its contribution is 6 1
; Face centered atoms contribute 2 1
and middle layer atoms contribute 1 each.
So, effective number of atoms in unit cell = 6 1
×12+ 2 1 ×2+1×3 =2+1+3=6
Number of tetrahedral voids =2× Number of atoms forming the lattice. =2×6=12
So, number of atoms of A= 32 ×12=8
Number of atoms of B=6
So, A:B⇒A:B
8:6 4:3
So, formula is A4 B3
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