Question 5Figure 1 shows a X-ray diffraction pattern from a powdered aluminium sample. Thesample was exposed to X-rays of wavelength 1.542x10-10m from a Cuka X-raysource. Assuming the indexing of the lines shown in the figure is correct and that alllines are a result of first order diffraction, calculate the lattice parameter of thestructure in nm. Verify your answer by repeating your measurement with a secondline. Note the planar spacing d is related to the lattice parameter a by the equation:ad =√h² + k² + 1²Where h, k and I are the miller indices of the plane.(111)100A=0.1542 nm (CuK-radiation)(311)(400) (331)(420)110 120Intensity (arbitrary units)(200)40(220)20(222)020 30 405060 70 80 90 10020 (degrees)Figure 1: X-ray diffraction pattern of powdered aluminium

Given: The wavelength is 1.542×10-10 m or 0.1542 nm. To determine: The lattice parameter in nm.…

Answered: Figure 1 shows a X-ray diffraction…

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