x-ray diffraction







MAS.020UF Introduction to Solid State Physics

x-ray diffraction

$\Delta k_x$	$\Delta k_y$	$\Delta k_z$	Intensity
0	0	0	1
-1.5E10	0	0	0.229
0	-1.5E10	0	0.229
0	0	-1.5E10	0.229
0	0	1.5E10	0.229
0	1.5E10	0	0.229
1.5E10	0	0	0.229
-1.5E10	-1.5E10	0	0.667
-1.5E10	0	-1.5E10	0.667
-1.5E10	0	1.5E10	0.667
-1.5E10	1.5E10	0	0.667
0	-1.5E10	-1.5E10	0.667
0	-1.5E10	1.5E10	0.667
0	1.5E10	-1.5E10	0.667
0	1.5E10	1.5E10	0.667
1.5E10	-1.5E10	0	0.667
1.5E10	0	-1.5E10	0.667
1.5E10	0	1.5E10	0.667
1.5E10	1.5E10	0	0.667
-1.5E10	-1.5E10	-1.5E10	0.192
-1.5E10	-1.5E10	1.5E10	0.192
-1.5E10	1.5E10	-1.5E10	0.192
1.5E10	1.5E10	1.5E10	0.192
1.5E10	-1.5E10	-1.5E10	0.192
1.5E10	-1.5E10	1.5E10	0.192
1.5E10	1.5E10	-1.5E10	0.192
1.5E10	1.5E10	1.5E10	0.192

The table to the right shows the intensity of diffraction peaks that were measured in an x-ray diffraction experiment on a single crystal. The three components of the scattering vector $\Delta k$ are given in units of [1/m]. The intensities have been normalized to their largest value.

(a) What are the primitive lattice vectors of this crystal in real space?

(b) What Bravais lattice does this crystal have?

(c) How can you estimate the number of atoms in the basis? How many atoms do you estimate are in the basis of this crystal?

(e) How could you determine what atoms are in the basis and how they are arranged?

(d) Knowing how the atoms are arranged in the basis, how could you determine the point group of this crystal?