- #1
Mathew Murdock
- 12
- 2
- Homework Statement
- Determine the relative amount of low-coordinated atoms (atoms at surfaces, edges, corners) in a cuboid of n atoms edge length. Assume a simple cubic crystal structure.
- Relevant Equations
- Crystal Structure
Do I do it right guys?
The relative amount of low-coordinated atoms is
The number of atoms at 8 corners: n_corner=8 1/8=1.
The number of atoms at 12 edges: n_edge=12 (n-2)/4=3n-6.
The number of atoms at 6 surfaces: n_surface=6 (n^2-4n)/2=3n^2-12n.
The relative amount of low-coordinated atoms is
n_total=n_corner+n_edge+n_surface=3n^2-9n-5.
The relative amount of low-coordinated atoms is
The number of atoms at 8 corners: n_corner=8 1/8=1.
The number of atoms at 12 edges: n_edge=12 (n-2)/4=3n-6.
The number of atoms at 6 surfaces: n_surface=6 (n^2-4n)/2=3n^2-12n.
The relative amount of low-coordinated atoms is
n_total=n_corner+n_edge+n_surface=3n^2-9n-5.