3. A diffraction pattern from a cubic alloy (either fcc or bcc) is shown below. (20 points) Index the pattern, label the diffraction points and calculate the lattice parameter of the crystal. The camera constant is 61.75 mm \AA${}^\circ$.
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Index the pattern: To index the pattern, we need to determine the Miller indices for each diffraction point. Miller indices are a way to describe the orientation of crystal planes in a lattice. Show more…
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An x-ray diffraction pattern was measured with the table of peaks listed in the table below using x-ray light with a wavelength of 0.1542 nm. If the crystal structure was independently determined to be cubic, (1) index the crystal planes, (2) calculate the lattice parameter, a, and demonstrate which of the possible cubic structures would result in this diffraction pattern. Peak # | 2 θ | d(Å) | I/I₀ 1 | 27.27 | 0.3271 | 100 2 | 31.59 | 0.2833 | 43 3 | 45.28 | 0.2003 | 22 4 | 53.67 | 0.1708 | 16 5 | 56.26 | 0.1635 | 7
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