A solid compound contains X, Y and Z atoms in a cubic lattice with X atoms occupying the corners, Y atoms in the body centred positions and Z atoms at the centre of the faces of the unit cell. What is the empirical formula of the compound?
Correct answer: B. XYZ3
- A. XY2 Z3
- B. XYZ3
- C. X2Y2Z3
- D. X8YZ6
Explanation
Number of atoms of X in a unit cell = 1/8 x 8 = 1 Number of atoms of Y in a unit cell = 1 Number of atoms of Z in a unit cell =1/2 x 6 = 3 Empirical formula of the compound = XYZ3 Hence, option B is correct.
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A crystal lattice is the regular three-dimensional arrangement of particles in a crystalline solid. The content includes lattice points, unit cells, coordination number, packing patterns, and the differences among ionic, metallic, molecular and covalent network crystals, which should not be confused with amorphous solids.
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