crystal structure determination and space groups
DESCRIPTION
H. K. D. H. Bhadeshia. Crystal structure determination and space groups. 32 point groups. 14 Bravais Lattices. 14 Bravais lattices. add centres. 230 space groups. macroscopic symmetry. microscopic symmetry. 32 point groups. space groups locate atoms within a cell: - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/1.jpg)
Crystal structure determination
and space groups
H. K. D. H. Bhadeshia
![Page 2: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/2.jpg)
32 point groups
![Page 3: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/3.jpg)
14Bravais Lattices
![Page 4: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/4.jpg)
![Page 5: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/5.jpg)
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
![Page 6: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/6.jpg)
![Page 7: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/7.jpg)
![Page 8: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/8.jpg)
![Page 9: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/9.jpg)
![Page 10: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/10.jpg)
a axial glide
![Page 11: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/11.jpg)
Cuprite
![Page 12: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/12.jpg)
42
P
![Page 13: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/13.jpg)
x
y
diagonal glide parallel to (100)
P n
![Page 14: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/14.jpg)
Centre of symmetry at height 3/4
![Page 15: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/15.jpg)
centre of symmetry
![Page 16: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/16.jpg)
mirror triad
![Page 17: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/17.jpg)
![Page 18: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/18.jpg)
![Page 19: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/19.jpg)
![Page 20: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/20.jpg)
![Page 21: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/21.jpg)
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
![Page 22: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/22.jpg)
![Page 23: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/23.jpg)
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
![Page 24: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/24.jpg)
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
![Page 25: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/25.jpg)
tetragonal
![Page 26: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/26.jpg)
space group diagram
![Page 27: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/27.jpg)
Z. anorg. allg. Chem., 552: 69–80. doi: 10.1002/zaac.19875520907
![Page 28: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/28.jpg)
![Page 29: Crystal structure determination and space groups](https://reader035.vdocument.in/reader035/viewer/2022062309/56813c94550346895da6441c/html5/thumbnails/29.jpg)
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.