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If three elements X,Y and Z crystallizes in a ccp lattice with the X atoms at the corner, Y atoms at the cube centre and Z atom at the edge centre the formula of the compound will be:
  • a)
    XYZ
  • b)
    XYZ2
  • c)
    XYZ
    3
  • d)
    X2Y2Z
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If three elements X,Y and Z crystallizes in a ccp lattice with the X a...
No. of X atoms = 1/8 x 8 = 1
No. of Y atoms = 1
No. of Z atoms = 12 x 1/4 = 3
Formula of the compound = XYZ3
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Most Upvoted Answer
If three elements X,Y and Z crystallizes in a ccp lattice with the X a...
The crystal structure:
- The crystal structure described in the question is a cubic close-packed (ccp) lattice.
- In a ccp lattice, the atoms are arranged in a face-centered cubic arrangement, with each atom touching 12 nearest neighboring atoms.
- The X atoms are located at the corners of the unit cell, the Y atoms are located at the center of each face of the unit cell, and the Z atoms are located at the center of each edge of the unit cell.

Understanding the formula:
- The formula of a compound is a representation of the ratio of the different atoms present in the compound.
- In the given crystal structure, there is one X atom, one Y atom, and one Z atom in a single unit cell.
- Thus, the ratio of X : Y : Z in the compound is 1 : 1 : 1.

Explanation of the options:
a) XYZ: This option suggests that there is one X atom, one Y atom, and one Z atom present in the compound. This is consistent with the given crystal structure, so this option is a possibility.
b) XYZ2: This option suggests that there is one X atom, one Y atom, and two Z atoms present in the compound. However, the given crystal structure only has one Z atom at the edge center of the unit cell, so this option is not consistent with the crystal structure.
c) XYZ3: This option suggests that there is one X atom, one Y atom, and three Z atoms present in the compound. Again, the given crystal structure only has one Z atom at the edge center of the unit cell, so this option is not consistent with the crystal structure.
d) X2Y2Z: This option suggests that there are two X atoms, two Y atoms, and one Z atom present in the compound. However, the given crystal structure only has one X atom at the corners of the unit cell and one Y atom at the center of each face of the unit cell, so this option is not consistent with the crystal structure.

Conclusion:
Based on the given crystal structure, the formula of the compound is XYZ, as there is one X atom, one Y atom, and one Z atom present in the compound.
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If three elements X,Y and Z crystallizes in a ccp lattice with the X atoms at the corner, Y atoms at the cube centre and Z atom at the edge centre the formula of the compound will be:a)XYZb)XYZ2c)XYZ3d)X2Y2ZCorrect answer is option 'C'. Can you explain this answer?
Question Description
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