Answered: Q3: The below table lists diffraction… | bartleby

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Q3: The below table lists diffraction angles for the first three peaks (third -order)
of the x-ray diffraction pattern for some metal. Monochromatic x-radiation having a
wavelength of
(a) Determine the lattice constant. (b) radius of atoms.
(0.1234 nm) was used for FCC crystal ?
Peak
miller
Diffraction
Number
indies
Angle (2e)
1
101
88
100
98
3
111
108

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PROBLEM For a given x-ray diffraction test (n = 1) on a cubic crystal structure, the recorded diffraction peaks (20) were 24.09°, 34.33°, 42.37°, 49.33°, 55.62°, and 61.48°. The x-ray wavelength used in the test was 0.15418 nm. For this test, determine the crystal structure of the element, the lattice constant, and identify the element.
Attached is question.
Potassium iodide has an interplanar spacing of d = 0.296 nm. A monochromatic X-ray beam shows a first-order diffraction maximum when the grazing angle is 7.4°. Calculate the X-ray wavelength ?.? = answer in nm
The vanadium crystallizes in the body centered cubic lattice with a lattice parameter a. The X-ray diffraction data were collected from this compound and the following first four Bragg positions 20 (degrees): 21.06, 30.17, 37.03 and 43.10 were registered. The wavelength of the used X-ray radiation is 2 = 1.54Á. 1- Give the Bragg's Law. 2- Determine the inter-planer spacing d of the family of lattice planes (hke) of the cubic system. hkt 3 - Using the structure factor, determine the allowed reflections of the body centered cubic. 4- Index the four Bragg angles given above and calculate the cell parameter a.