
Concept explainers
(a)
Interpretation:
The number of
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
(a)

Answer to Problem 12.98P
The number of
Explanation of Solution
The structure of zinc selenide
The charge ratio between the ions in
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
(b)
The mass of a unit cell 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
(b)

Answer to Problem 12.98P
The mass of a unit cell is
Explanation of Solution
The number of
The formula to calculate the mass of the unit cell is as follows:
Substitute
The mass of a unit cell is
(c)
The volume of a unit cell 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
The conversion factor to convert
(c)

Answer to Problem 12.98P
The volume of a unit cell is
Explanation of Solution
The formula to calculate the volume of the unit cell is as follows:
Substitute
The volume of a unit cell is
(d)
The edge length of a unit cell 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
(d)

Answer to Problem 12.98P
The edge length of a unit cell is
Explanation of Solution
The formula to calculate the volume of the unit cell is as follows:
Rearrange the equation (3) t calculate edge length as follows:
Substitute
The edge length of a unit cell is
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Chapter 12 Solutions
Chemistry: The Molecular Nature of Matter and Change - Standalone book
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