Suppose you have collected the X-ray powder diffraction pattern of tetragonal BaTiO3 at room temperature using copper radiation (λ=1.54 Å) and identified the lattice planes corresponding to the peaks at each 2θ positions, as shown in the table below. 2θ (°) (hkl) Intensity (%) 22.05 (001) 12.0 22.28 (100) 25.0 31.45 (101) 100.0 31.65 (110) 100.0 38.82 (111) 46.0 44.86 (002) 12.0 45.39 (200) 37.0 50.60 (102) 6.0 50.98 (201) 8.0 51.3 (210) 7.0 56.01 (112) 15.0 56.3 (211) 12.0 65.75 (202) 35.0 Determine: a) the d-spacing of the four most intense reflections; b) the lattice parameters a, b and c of the unit cell.
Suppose you have collected the X-ray powder diffraction pattern of tetragonal BaTiO3 at room
temperature using copper radiation (λ=1.54 Å) and identified the lattice planes corresponding to the
peaks at each 2θ positions, as shown in the table below.
2θ (°) (hkl) Intensity (%)
22.05 (001) 12.0
22.28 (100) 25.0
31.45 (101) 100.0
31.65 (110) 100.0
38.82 (111) 46.0
44.86 (002) 12.0
45.39 (200) 37.0
50.60 (102) 6.0
50.98 (201) 8.0
51.3 (210) 7.0
56.01 (112) 15.0
56.3 (211) 12.0
65.75 (202) 35.0
Determine:
a) the d-spacing of the four most intense reflections;
b) the lattice parameters a, b and c of the unit cell.

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