# Exploring Electron Scattering in Crystalline Nickel Foil

• jecyca2003
In summary, a beam of electrons with kinetic energy 50 eV is fired at a 100 nm thick crystalline nickel foil. The speed of the electrons in the beam can be calculated using the equation KE = 1/2 (m)(v^2). Based on the answer to part (a), classical mechanics may not accurately describe this system. The de Broglie wavelength of the electrons can be determined using the equation λ = h/√(2KEm). The scattered electrons show strong peaks in intensity at particular orientations of the incident beam to the nickel target, which can be explained by constructive interference from the scattered electrons, as seen in the Davisson-Germer experiment. When the energy of the electrons is increased
jecyca2003

## Homework Statement

A beam of electrons with kinetic energy 50 eV is fired at a 100 nm thick crystalline nickel foil.
1. (a) Calculate the speed of the electrons in the beam.
2. (b) Based on your answer to part (a), state, with justification, whether classical (Newtonian) mechanics correctly describes this system.
3. (c) Determine the de Broglie wavelength of the electrons.
4. (d) Electrons incident on the nickel are scattered. The scattered electrons show strong peaks in intensity at particular orientations of the incident beam to the nickel target. Explain, with the aid of a detailed sketch, how this can be accounted for.

The energy of the electrons is now increased to 50 MeV.
1. (e) Repeat (a)-(c) above for these electrons, and from your results explain why the majority of electrons pass straight through the foil. You may find it useful to know that hc/2π = 197 MeV fm.
2. (f) Occasionally one of the beam electrons elastically scatters from an atomic electron in the foil. Is momentum conserved in such reactions? Explain in words why the products of the reaction are not emitted at 90 degrees to one another.

## Homework Equations

KE = 1/2 (m)(v^2)
λ = h/√(2KEm) (deBroglie Wavelength Equation)

## The Attempt at a Solution

For part a) and c), I just plugged the numbers into the equation. I am not quite certain why the question emphasizes 100nm.

I am stuck mainly with the second half of the question d), e), and f). It would be very nice to get some help for those questions.

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look up the davisson gemer experiment. the peaks correspond to constructive interference from the scattered electrons.

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## 1. What is electron scattering and why is it important in science?

Electron scattering is a phenomenon where electrons interact with other particles or fields, causing them to change direction or energy. It is important in science because it allows us to study the structure and properties of matter, as well as the fundamental forces that govern the universe.

## 2. How is electron scattering used in particle accelerators?

Electron scattering is used in particle accelerators to study the internal structure of atoms and subatomic particles. By accelerating electrons and directing them towards a target, scientists can observe the scattering patterns and gather information about the particles' composition and interactions.

## 3. Can electron scattering be used to study the properties of materials?

Yes, electron scattering can be used to study the properties of materials. By directing a beam of electrons onto a material, scientists can measure the scattering patterns and gather information about the material's structure, composition, and properties such as magnetic moments and charge distribution.

## 4. What are the different types of electron scattering?

There are two main types of electron scattering: elastic and inelastic. Elastic scattering involves the electron bouncing off the target without changing its energy, while inelastic scattering involves the electron transferring some of its energy to the target. Inelastic scattering is further divided into Compton scattering, where the electron transfers energy to a photon, and Rutherford scattering, where the electron transfers energy to a nucleus.

## 5. How does electron scattering help us understand the fundamental forces of nature?

By studying the scattering patterns of electrons with different targets, scientists can gather information about the fundamental forces that govern the universe. For example, electron-proton scattering can provide insights into the strong nuclear force, while electron-positron scattering can shed light on the weak nuclear force. Additionally, electron scattering experiments can also provide evidence for the existence of new particles and interactions predicted by theories such as the Standard Model and beyond.

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