Photoelectic cross-section question

Yes, that is correct.In summary, when considering photoemission from the 1s state of a charge Z atom, the cross section is proportional to Z^5 in the limit p_fa_0/Z\hbar >> 1. This is because the Coulomb potential in the Hamiltonian changes from q^2/r to Zq^2/r, resulting in the substitution of a_0 with a_0/Z.
  • #1
jsc314159
21
1

Homework Statement


Show that if we consider photoemission from the 1s state of a charge Z atom,
[tex]
\sigma \propto Z^5}}
[/tex], in the limit [tex] p_fa_0/Z\hbar >> 1.
[/tex]

Homework Equations



[tex]
\sigma = \frac{128a_0^3\pi e^2p_f^3}{3m\hbar^3\omegac[1+p_f^2a_0^2/\hbar^2]^4}}
[/tex]

The Attempt at a Solution


Actually I know how to do this. [tex] a_0 -> a_0/Z [/tex]. My question is why is this so? What is the physical interpretation/what does it mean?

jsc
 
Physics news on Phys.org
  • #2
I think the reason [tex] a_0 -> a_0/Z [/tex] is because the Coulomb potential in the Hamiltonian changes from [tex] q^2/r [/tex] to [tex] Zq^2/r [/tex]. Is that right?

jsc
 

Related to Photoelectic cross-section question

What is a photoelectric cross-section?

A photoelectric cross-section is a measure of the likelihood that a photon will be absorbed by a material through the photoelectric effect. It is a measure of the efficiency of the photoelectric effect for a specific material.

How is the photoelectric cross-section measured?

The photoelectric cross-section is typically measured by irradiating a material with a beam of photons and measuring the intensity of the transmitted or scattered light. The ratio of the incident intensity to the transmitted or scattered intensity gives the cross-section value.

What factors affect the value of the photoelectric cross-section?

The value of the photoelectric cross-section depends on the properties of the material, such as its atomic structure and density, as well as the energy of the incident photons. It also depends on the wavelength of the photons, with shorter wavelengths having higher cross-section values.

How is the photoelectric cross-section used in research?

The photoelectric cross-section is an important quantity in studying the photoelectric effect and its applications, such as in solar cells and photoelectric detectors. It is also used in atmospheric and environmental research to measure the absorption of light by different materials.

Can the photoelectric cross-section be calculated?

Yes, the photoelectric cross-section can be calculated using theoretical models and experimental data. However, the accuracy of these calculations may vary depending on the complexity of the material and the energy of the incident photons.

Similar threads

  • Advanced Physics Homework Help
Replies
15
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
2K
Replies
4
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
2
Views
1K
  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
1
Views
1K
  • Advanced Physics Homework Help
Replies
4
Views
2K
  • Advanced Physics Homework Help
Replies
1
Views
1K
Back
Top