The possible plane separation related to Bragg reflection

In summary, Bragg reflection is a phenomenon that occurs when X-rays or other electromagnetic radiation are incident on a crystal lattice, resulting in a characteristic pattern of reflected beams. This pattern can be used to determine the distance between planes of atoms within the crystal, known as the plane separation. The plane separation is directly related to the diffraction angle through the Bragg equation and can be affected by factors such as crystal structure, lattice spacing, and incident radiation wavelength. It is commonly measured using X-ray diffraction techniques and has various practical applications in scientific fields such as materials science and drug discovery.
  • #1
songoku
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Homework Statement
An X ray beam with wavelength 0.16 nm is incident on a set of planes of certain crystal. The first Bragg reflection is observed for an incidence angle of 30 degree. The reflection satisfies the relation 2d sin q = nl. The possible planes separation d for the reflection is
a. 0.136 nm and 0.272 nm
b. 0.136 nm and 1.36 nm
c. 0.136 nm and 13.6 nm
d. 0.136 nm
Relevant Equations
2d sin q = nl (given by question)
2d sin q = nl

d = nl / (2 sin q)

d = (1 x 0.16) / (2 sin 30o) = 0.16 nm

But 0.16 is not in the option. And how to find other value of d?

Thanks
 
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  • #2
Looks to me like a typo, that should have ## \lambda=.136 ## nm. Perhaps someone else has a better explanation.
 
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  • #3
Thank you very much for the help Charles Link
 
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1. What is Bragg reflection and how does it relate to plane separation?

Bragg reflection is a phenomenon in which X-rays or other electromagnetic radiation are diffracted by the atoms in a crystal, resulting in a characteristic pattern of constructive and destructive interference. The spacing between the planes of atoms in the crystal, known as the plane separation, plays a crucial role in determining the angles at which the radiation will be diffracted.

2. How is the plane separation related to the intensity of Bragg reflection?

The intensity of Bragg reflection is directly proportional to the square of the plane separation. This means that as the plane separation increases, the intensity of the reflected radiation also increases.

3. How does the angle of incidence affect the plane separation in Bragg reflection?

The angle of incidence, or the angle at which the radiation strikes the crystal, has a direct impact on the plane separation in Bragg reflection. As the angle of incidence increases, the plane separation decreases, resulting in a higher diffraction angle and a shorter wavelength of the reflected radiation.

4. Can the plane separation be measured experimentally?

Yes, the plane separation can be measured experimentally using techniques such as X-ray diffraction or neutron diffraction. These methods involve directing a beam of radiation at a crystal and measuring the angles and intensities of the reflected radiation to determine the plane separation.

5. How does the plane separation affect the diffraction pattern in Bragg reflection?

The plane separation directly affects the spacing between the diffraction peaks in the Bragg reflection pattern. A larger plane separation will result in a wider spacing between the peaks, while a smaller plane separation will result in a narrower spacing. This can be observed by changing the angle of incidence or the wavelength of the incident radiation in an experiment.

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