Figure Q6 and Table Q6 show the X-ray diffraction pattern and corresponding information of the diffraction peaks of a sample with a cubic crystal structure, obtained using Cu-Kα radiation (λ = 0.1542 nm), respectively. Apply Bragg's law and relevant equations to determine (a) the Miller indices of each diffraction peak, (b) the type of cubic structure with the same type of atoms, and (c) the lattice parameters based on at least three diffraction peaks.
Table Q6: Diffraction angle, plane distance in the unit of angstrom, and intensities for each peak in the figure on the left.
20
d(A) 3.142 1.921 1.639
1/10 100 57 28 7 11 13 5
Intensity (a.u.)
1 2 3
28.41 47.33 56.11
4 5 6 7
69.08
1.360
76.34
1.248 1.110 1.046
20
40 60 80 20 [degree]
100
88.03 94.95
Figure Q6: The X-ray diffraction patterns (intensities as a function of diffraction angles)