The figure below is the X-ray diffraction (XRD) pattern of Nb, which has a BCC crystal structure A monochromatic X-ray with a wavelength (A) of 0.1542 nm was used. The reflection order is 1. (a) Calculate the lattice spacing for the (110) plane from the XRD spectrum. (b) Calculate the lattice parameter of Nb. (c) What is the atom packing fraction (APF) of Nb? 8000 (110)Nb 38.3° 6000 4000 69 3° ntensity
The figure below is the X-ray diffraction (XRD) pattern of Nb, which has a BCC crystal structure A monochromatic X-ray with a wavelength (A) of 0.1542 nm was used. The reflection order is 1. (a) Calculate the lattice spacing for the (110) plane from the XRD spectrum. (b) Calculate the lattice parameter of Nb. (c) What is the atom packing fraction (APF) of Nb? 8000 (110)Nb 38.3° 6000 4000 69 3° ntensity
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Transcribed Image Text:The figure below is the X-ray diffraction (XRD) pattern of Nb, which has a BCC crystal structure.
A monochromatic X-ray with a wavelength (^) of 0.1542 nm was used. The reflection order is 1.
(a) Calculate the lattice spacing for the (110) plane from the XRD spectrum.
(b) Calculate the lattice parameter of Nb.
(c) What is the atom packing fraction (APF) of Nb?
8000
(110)Nb
38.3°
6000
4000
69.3°
55.3°
(211)Nb
2000
(200)Nb
82.1°
(220)Nb
30
40
50
60
70
80
90
20,degree
Intensity
20
Expert Solution
Step 1
To calculate the lattice spacing d, use the Bragg's law
where n is the order of reflection, is the wavelength of the X-ray used, is the angle of diffraction.
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