Question 1: X-ray Diffraction x-ray diffraction is a method used to identify different types of materials. While this is usually quite a complex process, however for a simple cubic structure, as seen below, we can find the distance between neighboring atoms. The below image shows the diffraction of x-rays passing through a cubic structure and illustrates a change in distance of 2d sine Light rays in phase /IN SA ' ᎾᎥᎾ . 20. b d sin 8 2d sin 0 Atoms in crystal If the wavelength of the x-ray is equal to an integer multiple of this change in distance, we will get constructive interference: mλ = 2d sine X-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a Bragg angle of 25.5°. (a) What is the spacing between the scattering planes in this crystal? (b) At what angle will the third-order maximum occur?

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Question 1: X-ray Diffraction
x-ray diffraction is a method used to identify different types of materials. While this is usually quite a
complex process, however for a simple cubic structure, as seen below, we can find the distance between
neighboring atoms. The below image shows the diffraction of x-rays passing through a cubic structure
and illustrates a change in distance of 2d sine
Light rays
in phase
●
a
/I\
100
20.
b
d sin 8
2d sin 0
Atoms in crystal
If the wavelength of the x-ray is equal to an integer multiple of this change in distance, we will get
constructive interference:
mλ = 2d sine
X-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a Bragg
angle of 25.5°. (a) What is the spacing between the scattering planes in this crystal? (b) At what angle
will the third-order maximum occur?
Transcribed Image Text:Question 1: X-ray Diffraction x-ray diffraction is a method used to identify different types of materials. While this is usually quite a complex process, however for a simple cubic structure, as seen below, we can find the distance between neighboring atoms. The below image shows the diffraction of x-rays passing through a cubic structure and illustrates a change in distance of 2d sine Light rays in phase ● a /I\ 100 20. b d sin 8 2d sin 0 Atoms in crystal If the wavelength of the x-ray is equal to an integer multiple of this change in distance, we will get constructive interference: mλ = 2d sine X-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a Bragg angle of 25.5°. (a) What is the spacing between the scattering planes in this crystal? (b) At what angle will the third-order maximum occur?
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