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 centres of faces of the unit cell. What is the empirical formula of the compound ?

A solid compound contains X,Y and Z atoms in a cubic lattice with X at

1.	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 centres of faces of the unit cell. What is the empirical formula of the compound ?
Answer» <html><body><p>`XY_(2)Z_(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)`<br/>`XYZ_(3)`<br/>`X_(2)T_(2)Z_(3)`<br/>`X_(8)YZ_(6)`</p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :Atoms of X per <a href="https://interviewquestions.tuteehub.com/tag/unit-1438166" style="font-weight:bold;" target="_blank" title="Click to know more about UNIT">UNIT</a> <a href="https://interviewquestions.tuteehub.com/tag/cell-25680" style="font-weight:bold;" target="_blank" title="Click to know more about CELL">CELL</a> `=(8times1)/8=1`<br/> Atoms of Y per unit cell =1 <br/> Atoms of Z per unit cell `=6times1/2=3`<br/> `therefore` the formula of the compound is `XYZ_(3)`</body></html>