(a)
Interpretation:
The shape of the crystal with same edge lengths and face angles needs to be determined.
Concept introduction:
There are a number of factors on which the shapes of crystals depend. These factors are the length and size of their surfaces and edges as well as their face angles. The shape is named after their geometry. The main seven types of crystals are as follows:
- Cubic
- Orthorhombic
- Monoclinic
- Triclinic
- Trigonal
- Hexagonal
- Tetragonal
Answer to Problem 74A
Cubic structure.
Explanation of Solution
The given lengths are as follows:
Also, the face angles are as follows:
Here, all the bond lengths are equal and face angles are also equal thus, this represents the cubic structure.
(b)
Interpretation:
The shape of the crystal needs to be determined.
Concept introduction:
There are a number of factors on which the shapes of crystals depend. These factors are the length and size of their surfaces and edges as well as their face angles. The shape is named after their geometry. The main seven types of crystals are as follows:
- Cubic
- Orthorhombic
- Monoclinic
- Triclinic
- Trigonal
- Hexagonal
- Tetragonal
Answer to Problem 74A
Monoclinic crystals.
Explanation of Solution
The given lengths are as follows:
Also, the face angles are as follows:
Here, all the edge lengths are different. Also, two face angles are same. Therefore, it represents monoclinic crystals.
(c)
Interpretation:
The shape of the crystal with given edge lengths and face angles needs to be determined.
Concept introduction:
There are a number of factors on which the shapes of crystals depend. These factors are the length and size of their surfaces and edges as well as their face angles. The shape is named after their geometry. The main seven types of crystals are as follows:
- Cubic
- Orthorhombic
- Monoclinic
- Triclinic
- Trigonal
- Hexagonal
- Tetragonal
Answer to Problem 74A
Tetragonal.
Explanation of Solution
The given lengths are as follows:
Also, the face angles are as follows:
Here, two edge lengths are the same and the third one has the greatest value. All the face angles are at 90o to each other. Therefore, it represents tetragonal.
(d)
Interpretation:
The shape of the crystal using given values of edge lengths and face angles needs to be determined.
Concept introduction:
There are a number of factors on which the shapes of crystals depend. These factors are the length and size of their surfaces and edges as well as their face angles. The shape is named after their geometry. The main seven types of crystals are as follows:
- Cubic
- Orthorhombic
- Monoclinic
- Triclinic
- Trigonal
- Hexagonal
- Tetragonal
Answer to Problem 74A
Hexagonal.
Explanation of Solution
The given lengths are as follows:
Also, the face angles are as follows:
The two edge lengths are the same and the third one is more than the other two edge lengths given. Also, two face angles are the same and the other is different. It represents a hexagonal.
Chapter 12 Solutions
Glencoe Chemistry: Matter and Change, Student Edition
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