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Transcribed Image Text:A lattice is defined by the following basis vectors in units
of
nanometres.
a/2
a/3
a/2
412
a1 = (0.50, 0.0, 0.0), a2 = (0.0, 0.40, 0.30), a3 = (0.30, 0.0,
0.50)
(a) Calculate the associated reciprocal lattice vectors and
their lengths.
(b) A material with the lattice from part (a) and a single
atom basis is characterised by a powder diffraction
experiment. If the x-rays have a wavelength of 0.1 nm
find the three lowest Bragg angles for diffraction rings
observed in the experiment.
Hint: You will only need to consider Miller indices up to a
maximum | h |, | k | and | L | of 1.
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