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4. Monochromatic X rays are incident on a crystal in the geometry of figure 1 shown below. The first-order Bragg peak is observed when the angle of incidence is 34.0 •. The crystal spacing is known to be 0.347 nm. (a) What is the wavelength of the X rays? (b) Now consider a set of crystal planes that makes an angle of 45 • with the surface of the crystal (as in figure 2 below). For X rays of the same wavelength, find the angle of incidence measured from the surface of the crystal that produces the first-order Bragg peak. (c) At what angle from the surface does the emerging beam appear in this case? Incident Reflected beams beam X rays Reflection planes d sin e Figure 1 Figure 2

4. Monochromatic X rays are incident on a crystal in the geometry of figure 1 shown below. The first-order Bragg peak is observed when the angle of incidence is 34.0 •. The crystal spacing is known to be 0.347 nm. (a) What is the wavelength of the X rays? (b) Now consider a set of crystal planes that makes an angle of 45 • with the surface of the crystal (as in figure 2 below). For X rays of the same wavelength, find the angle of incidence measured from the surface of the crystal that produces the first-order Bragg peak. (c) At what angle from the surface does the emerging beam appear in this case? Incident Reflected beams beam X rays Reflection planes d sin e Figure 1 Figure 2

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4. Monochromatic X rays are incident on a crystal in the geometry of figure 1 shown below. The first-order Bragg peak is observed when the angle of incidence is 34.0 •. The crystal spacing is known to be 0.347 nm. (a) What is the wavelength of the X rays? (b) Now consider a set of crystal planes that makes an angle of 45 • with the surface of the crystal (as in figure 2 below). For X rays of the same wavelength, find the angle of incidence measured from the surface of the crystal that produces the first-order Bragg peak. (c) At what angle from the surface does the emerging beam appear in this case? Incident beam Reflected beams X rays Reflection planes d sin e Figure 1 Figure 2
Transcribed Image Text:4. Monochromatic X rays are incident on a crystal in the geometry of figure 1 shown below. The first-order Bragg peak is observed when the angle of incidence is 34.0 •. The crystal spacing is known to be 0.347 nm. (a) What is the wavelength of the X rays? (b) Now consider a set of crystal planes that makes an angle of 45 • with the surface of the crystal (as in figure 2 below). For X rays of the same wavelength, find the angle of incidence measured from the surface of the crystal that produces the first-order Bragg peak. (c) At what angle from the surface does the emerging beam appear in this case? Incident beam Reflected beams X rays Reflection planes d sin e Figure 1 Figure 2
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