Elastic and Inelastic neutrons scattering

In summary: Additionally, the specific mechanisms of inelastic scattering will also affect the amount of energy lost by the neutron.In summary, the energy lost by a neutron in elastic and inelastic scattering can be found using the conservation of energy and momentum equations, the scattering cross section, and the assumption of isotropic scattering in the center of mass. However, the exact amount of energy lost may vary depending on the specific circumstances.
  • #1
Nucengable
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Elastic and Inelastic neutrons scattering..!

How I can find the energy lost by the neutron in elastic scattering and inelastic scattering, if we assumed its isotropic scattering in the center of mass?
 
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  • #2


Nucengable said:
How I can find the energy lost by the neutron in elastic scattering and inelastic scattering, if we assumed its isotropic scattering in the center of mass?

Your question does not make sense. Elastic scattering is just sophomore-physics billiard-ball scattering, and inelastic scattering depends on what mechanisms of internal excitation are involved. Are you asking for a cross-section database with branching ratios, or...?
 
  • #3


There are a few different ways you can approach this problem. One method is to use the conservation of energy and momentum equations.

In elastic scattering, the energy lost by the neutron can be found by subtracting the final kinetic energy from the initial kinetic energy. The final kinetic energy can be calculated using the final velocity, which can be found using the conservation of momentum equation. The initial kinetic energy can be calculated using the initial velocity and mass of the neutron.

In inelastic scattering, the energy lost by the neutron can also be found using the conservation of energy equation. However, in this case, the final kinetic energy will be different from the initial kinetic energy due to the transfer of energy to the target particle. The final velocity and kinetic energy can be calculated using the conservation of momentum equation, but the initial kinetic energy will need to be calculated using the initial velocity and mass of the neutron and the final kinetic energy of the target particle.

Another approach is to use the scattering cross section, which is a measure of the probability of a neutron scattering off a target particle. The energy loss can be calculated by multiplying the cross section by the energy of the incident neutron.

Keep in mind that these calculations assume isotropic scattering in the center of mass. In reality, the scattering may not be perfectly isotropic and the exact amount of energy lost may vary.
 

1. What is the difference between elastic and inelastic neutron scattering?

Elastic neutron scattering is a process in which neutrons are scattered off a target material without any change in their energy. Inelastic neutron scattering, on the other hand, involves a change in neutron energy as they interact with the target material.

2. How is elastic neutron scattering used in scientific research?

Elastic neutron scattering is a powerful tool for studying the structure and dynamics of materials. By analyzing the diffraction pattern of scattered neutrons, researchers can gain valuable information about the atomic and molecular arrangements within a material.

3. Can inelastic neutron scattering be used to study nuclear reactions?

Yes, inelastic neutron scattering can be used to study nuclear reactions, particularly those involving the excitation of atomic nuclei. By measuring the energy and direction of scattered neutrons, researchers can determine the energy levels and properties of excited nuclei.

4. What are some practical applications of elastic and inelastic neutron scattering?

Elastic and inelastic neutron scattering have a wide range of applications in fields such as materials science, condensed matter physics, and nuclear engineering. They are used to study the structure and dynamics of materials, investigate magnetic and electronic properties, and probe the behavior of nuclear fuels and waste materials.

5. How does the energy of the incident neutrons affect the results of elastic and inelastic scattering experiments?

The energy of the incident neutrons plays a crucial role in both elastic and inelastic scattering experiments. For elastic scattering, higher energy neutrons are more likely to penetrate deeper into a material and therefore provide information about its internal structure. In inelastic scattering, the energy of the incident neutrons determines the energy levels of the excited states that can be probed in the target material.

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