Atoms of element X from hcp lattice and those of element Y occupy of its tetrahedral voids. The percentage of element X in the lattice is ________. (Nearest integer)

Atoms of element X from hcp lattice and those of element Y occupy $\frac{}{}$ of its tetrahedral voids. The percentage of element X in the lattice is ________. (Nearest integer)

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Vishal Baghel | Contributor-Level 10

6 months ago

Unit cell = Hexagonal close packing (hcp)

No. of X in one unit cell = 6

No. of tetrahedral voids in one unit cell = 12

No. of Y in one unit cell = $\frac{2}{3} * 12 = 8$ $\frac{}{}$

Formula => X₆ Y₈ => X₃ Y₄

% of X in unit cell $= \frac{3}{7} * 100 % = 43 %$ $\frac{}{}$

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