Crystal structure determination and space groups
description
Transcript of Crystal structure determination and space groups
Crystal structure determination
and space groups
H. K. D. H. Bhadeshia
32 point groups
14Bravais Lattices
7 crystal systems
14 Bravais lattices
add centre
s
32 point groups
macroscopic
symmetry
230 space groups
microsc
opic
symmetry
space groups locate atoms within a cell: help solve unknown structure
a axial glide
Cuprite
42
P
x
y
diagonal glide parallel to (100)
P n
Centre of symmetry at height 3/4
centre of symmetry
mirror triad
Caesium chloride
determine unit cell by diffraction to be cubic-P
how many atoms per unit cell?
space group of CsCl?
location of atoms?36 space groups possible
1/4
1/4
1/4
1/4
1/43/4
3/4
3/4
3/4
Lattice: face-centred cubic
Motif: C at 0,0,0 C at 1/4,1/4,1/4
1/4
1/4
1/43/4
3/4
Lattice: face-centred cubic
Motif: Zn at 0,0,0 S at 1/4,1/4,1/4
tetragonal
space group diagram
Z. anorg. allg. Chem., 552: 69–80. doi: 10.1002/zaac.19875520907
Assignment
Draw an accurate stereographic projection of a cubic crystal, and mark on it the poles of the form 100, 110 and 111.
Without measuring angles, but using vector addition, mark accurately, poles of the form 112
Ensure that the method you use is clear.