Intro to solid state chemistry Flashcards
Crystalline solid
a solid material whose constituents are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions
Amorphous solid
a solid that lacks long-range order and doesn’t organise into a definite lattice pattern
2D lattice counting: atoms in centre of cell
1
2D lattice counting: atoms on edge of cell
1/2
2D lattice counting: atoms at a corner of cell
1/4
3D lattice counting: atoms in centre of cell
1
3D lattice counting: atoms on edge of cell
1/4
3D lattice counting: atoms at a corner of cell
1/8
3D lattice counting: atoms on face of cell
1/2
Packing efficiency formula
Natoms*Vatom / Vunit cell
Laves Principles
regarding the packing of spheres
- space
- symmetry
- connection
Two types of close packing
- Hexagonal close packing (hcp); ABABAB…
- Cubic close packing (ccp); ABCABC…
Coordination no. of close packing
12
Packing efficiency of close packing
74%
Primitive cubic packing
(sites of atoms, packing efficiency, coordination number, points of contact)
- M at (0,0,0)
- 52% of volume occupied
- coordination no. = 6
- spheres in contact along cell edges
Body centred cubic packing
(sites of atoms, packing efficiency, coordination number, points of contact)
- M at (0,0,0) and (1/2, 1/2, 1/2)
- 68% of volume occupied
- coordination no. = 8
- spheres in contact along body diagonal
CsCl structure
Cl at (0,0,0)
Cs at (1/2, 1/2, 1/2)
two interpenetrating primitive cubic lattices
Are Oh or Td holes bigger
Oh
If there are n spheres, how many Oh holes are there?
n
If there are n spheres, how many Td holes are there?
2n