Concept explainers
Interpretation:
The atomic radius of lead if the edge length of the unit cell is 495 pm is to be calculated.
Concept introduction:
Crystal structure or lattice is the three-dimensional representation of atoms and molecules arranged in a particular manner. The unit cell is the smallest part of the lattice that is repeated in all directions to yield the crystal lattice. There are 3 types of cubic unit cells as follows:
1. The simple cubic unit cell
2. Body-centered unit cell
3. Face-centered unit cell
In the cubic unit cell, atom at the corner is shared by 8 adjacent cells so the contribution of an atom at the corner is 18, atom at the face is shared by 2 adjacent cells so the contribution of an atom at the face is 12 and atom at the body center is shared by 1 cell so the contribution of an atom at the body center is 1. The number of atoms present in a simple cubic, a body-centered cubic, and a face-centered cubic unit cell are 1, 2 and 4 respectively.
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Chemistry: The Molecular Nature of Matter and Change
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