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.

Chemistry by OpenStax (2015-05-04)
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Chapter10: Liquids And Solids
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Problem 102E: A diffracrometer using X-rays with a wavelength of 0.2287 nm produced first-order diffraction peak...
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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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