Question 1. Define the terms "basis" and "lattice" in crystallography. How does the combination of these two concepts help in describing a crystal structure?
Studdy Solution
STEP 1
Assumptions
1. We are dealing with crystallography, which is the study of crystal structures and their properties.
2. A "basis" in crystallography refers to a set of atoms associated with each lattice point.
3. A "lattice" in crystallography is an infinite array of points in space, arranged in a periodic pattern.
4. The combination of a basis and a lattice is used to describe the entire crystal structure.
STEP 2
Define the term "basis" in crystallography.
In crystallography, a "basis" is a group of one or more atoms that are associated with each lattice point in a crystal. The basis provides the specific atomic arrangement that, when repeated at each lattice point, forms the entire crystal structure.
STEP 3
Define the term "lattice" in crystallography.
A "lattice" in crystallography is a three-dimensional, periodic arrangement of points in space. These points are defined by vectors that repeat at regular intervals, creating a grid-like structure. The lattice serves as the framework on which the basis is placed to build the crystal.
STEP 4
Explain how the combination of a basis and a lattice describes a crystal structure.
The combination of a basis and a lattice describes a crystal structure by providing both the periodic framework (lattice) and the specific atomic arrangement (basis) that repeats throughout the structure. Each lattice point is associated with the same basis, and this repetition creates the entire crystal. The lattice defines the symmetry and periodicity, while the basis defines the chemical composition and arrangement of atoms within the unit cell.
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