Neutron Diffraction: Finding Wavelength of Neutron

In summary, to find the wavelength of a neutron in an experimental setup for neutron diffraction, use the equation \lambda = \frac{h}{mv} where v represents the speed of the neutron. In this case, since the neutrons are in thermal equilibrium with the moderator, the accepted speed for thermal neutrons of 2200 m/s can be used to find the wavelength.
  • #1
v_pino
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Homework Statement


In an experimental setup (shown in attachment) like this for neutron diffraction, how do I find the wavelength of the neutron. It should be around 2nm.


Homework Equations



[tex] \lambda = \frac{h}{mv}=\frac{396}{v} [/tex]

The Attempt at a Solution



I am having trouble with finding v of the neutron. Does it have to do with the total length of the tube?
 

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  • #2
The only speed information in your diagrams states that the neutrons are 'thermal' neutrons. This means that they are in thermal equilibrium with the moderator.
In an online reference site I read that neutrons have a range of speeds but the accepted speed for thermal neutrons is 2200 m/s.
In the absence of any other information I would use this and at least get some sort of answer.
 

1. What is neutron diffraction?

Neutron diffraction is a scientific technique that involves using a beam of neutrons to study the structure and properties of materials. By analyzing the diffraction pattern produced when neutrons interact with a sample, scientists can determine the arrangement of atoms within the material.

2. How is the wavelength of neutrons determined using neutron diffraction?

The wavelength of neutrons can be determined using Bragg's law, which states that the angle of diffraction is directly proportional to the wavelength of the incident beam. By measuring the diffraction angle and using the known spacing of atoms in the sample, the wavelength of the neutrons can be calculated.

3. What types of materials can be analyzed using neutron diffraction?

Neutron diffraction can be used to analyze a wide range of materials, including crystals, liquids, and amorphous solids. It is especially useful for studying materials with large, complex structures, such as proteins and polymers.

4. How does neutron diffraction compare to other diffraction techniques?

Compared to other diffraction techniques, such as X-ray diffraction, neutron diffraction has the advantage of being able to penetrate deeper into materials and provide information about the location of hydrogen atoms. However, it requires specialized facilities and is more challenging to interpret due to the interaction of neutrons with the sample.

5. What are some practical applications of neutron diffraction?

Neutron diffraction has a wide range of applications in various fields, such as materials science, chemistry, and biology. It can be used to study the structure and behavior of materials under different conditions, such as high pressures and temperatures. It is also a valuable tool for investigating the crystal structures of new materials and for understanding the mechanisms of chemical reactions.

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