Describe the crystal structure of iron, which crystallizes with two equivalent metal atoms in a cubic unit cell.
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Chemistry 2e · 10.6 Lattice Structures in Crystalline Solids
Lattice Structures in Crystalline Solids: practice problems
16 problems from the book, with its answers. Check your working, or have any of them explained to you on the whiteboard.
Exercises 77
What is the coordination number of a chromium atom in the body-centered cubic structure of chromium?
Exercises 79
Cobalt metal crystallizes in a hexagonal closest packed structure. What is the coordination number of a cobalt atom?
Exercises 81
Tungsten crystallizes in a body-centered cubic unit cell with an edge length of 3.165 Å.
Exercises 83
Exercises 85
Exercises 87
Exercises 89
Exercises 91
Exercises 93
Exercises 95
Exercises 97
Exercises 99
Exercises 101
Exercises 103
Exercises 105
Key terms · 18
- body-centered cubic (BCC) solid
- crystalline structure that has a cubic unit cell with lattice points at the corners and in the center of the cell
- body-centered cubic unit cell
- simplest repeating unit of a body-centered cubic crystal; it is a cube containing lattice points at each corner and in the center of the cube
- Bragg equation
- equation that relates the angles at which X-rays are diffracted by the atoms within a crystal
- coordination number
- number of atoms closest to any given atom in a crystal or to the central metal atom in a complex
- cubic closest packing (CCP)
- crystalline structure in which planes of closely packed atoms or ions are stacked as a series of three alternating layers of different relative orientations (ABC)
- diffraction
- redirection of electromagnetic radiation that occurs when it encounters a physical barrier of appropriate dimensions
- face-centered cubic (FCC) solid
- crystalline structure consisting of a cubic unit cell with lattice points on the corners and in the center of each face
- face-centered cubic unit cell
- simplest repeating unit of a face-centered cubic crystal; it is a cube containing lattice points at each corner and in the center of each face
- hexagonal closest packing (HCP)
- crystalline structure in which close packed layers of atoms or ions are stacked as a series of two alternating layers of different relative orientations (AB)
- hole
- (also, interstice) space between atoms within a crystal
- isomorphous
- possessing the same crystalline structure
- octahedral hole
- open space in a crystal at the center of six particles located at the corners of an octahedron
- simple cubic unit cell
- (also, primitive cubic unit cell) unit cell in the simple cubic structure
- simple cubic structure
- crystalline structure with a cubic unit cell with lattice points only at the corners
- space lattice
- all points within a crystal that have identical environments
- tetrahedral hole
- tetrahedral space formed by four atoms or ions in a crystal
- unit cell
- smallest portion of a space lattice that is repeated in three dimensions to form the entire lattice
- X-ray crystallography
- experimental technique for determining distances between atoms in a crystal by measuring the angles at which X-rays are diffracted when passing through the crystal
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