 |
A Dimensional Summary |
|
|
A Dimensional Summary |
Course Material Index
Section Index
Previous Page
A Dimensional Summary
Crystallographers work mainly in 3 dimensions. However, en route to deriving the Structure Factor equation, we passed through cases of lower dimension. The essentials are summarised in the following table; note that if we attribute 0, 1, 2 and 3 dimensions to points, lines, planes, and solids (respectively) we find a dimensional connection between a crystal and its reciprocal lattice (fourth column).
| 1. Real Space Crystal | Defining Parameters | 2. Reciprocal Space | Dimension (1)+(2) |
|---|---|---|---|
| 1D-chain | spacing a | set of parallel planes | 1 + 2 = 3 |
| 2D-array | spacings a, b angle α | set of parallel lines | 2 + 1 = 3 |
| 3D-crystal | spacings a, b, c angles α, β, γ |
3D lattice of points | 3 + 0 = 3 |
Course Material Index
Section Index
Previous Page
|
© Copyright 1997-2006.
Birkbeck College, University of London.
|
Author(s):
Paul Barnes Martin Vickers |