Doubts regarding atomic spectra of mono-electron species

In summary, the conversation discusses the atomic spectra of mono-electron species, specifically the ##4## series (principal, sharp, diffuse, and fundamental). The formula for the sharp series includes a positive sign between energy levels and characteristic constants in Wikipedia, but a negative sign in the book, causing confusion. Additionally, the formula for the sharp series includes ##1- \alpha## instead of just ##\alpha## as expected. The diffuse series has a similar discrepancy with the value of ##q##. Some suggested sources for further information on this topic include Wikipedia, a lecture on alkali spectra, and a PDF document.
  • #1
Hawkingo
56
2
I was studying about atomic spectra of mono-electron species and in the pic it describes the ##4## series (principal, sharp, diffuse and fundamental).

However I'm a little confused by the formula.Here my doubts are:

1) In the Wikipedia about the sharp series. There is ##+ve## sign between ##p/q## (energy levels) and ##\alpha## and ##\beta## (characteristics constants) but in the book it is ##-ve## sign. So which is correct?
2) In the sharp series it says ##p=2## and ##q\ge2##,but it writes in fomula (##1- \alpha##) where ##1## is supposed to be the value of ##p##. So why is it like that?

3) In the sharp series it says ##p=2## and ##q\ge2##,but in the diffuse series it says ##p=2## and ##q\ge3##.So wouldn't the diffuse series come under sharp series because what is ##\ge2## is obviously ##\ge3##

Thanks for reading. [1]:
[2]: https://en.m.wikipedia.org/wiki/Sharp_series
 
Physics news on Phys.org
  • #2
1) You could try calculating the wavenumbers for both and comparing them to experiment.
2) Eq. 2.15 seems to show you that Eq. 2.12 is a typo.
3) Each of those equations has a ##\beta## with a different subscript, so they are going to give different results.
 
  • #3
Dr_Nate said:
1) You could try calculating the wavenumbers for both and comparing them to experiment.
2) Eq. 2.15 seems to show you that Eq. 2.12 is a typo.
3) Each of those equations has a ##\beta## with a different subscript, so they are going to give different results.
Can you give any source material on this concept containing the formulas? In Wikipedia there are only 1st 2 series
 
  • #4
Hawkingo said:
Can you give any source material on this concept containing the formulas? In Wikipedia there are only 1st 2 series
You might want to search for "sharp principal diffuse fundamental series equations" or "alkali spectra".

Here, here and https://www.tcd.ie/Physics/people/Peter.Gallagher/lectures/js_atomic/JS_atomic_lecture8_9.pdf might be useful links.
 

1. What is atomic spectra and why is it important?

Atomic spectra refers to the unique pattern of wavelengths of light emitted or absorbed by an atom. This pattern is important because it provides information about the energy levels and structure of an atom, which is crucial in understanding the behavior and properties of matter.

2. How do we know that mono-electron species have atomic spectra?

Mono-electron species, such as hydrogen or helium atoms, have been studied extensively in laboratory experiments. By observing the light emitted or absorbed by these atoms, scientists have been able to identify the distinct patterns of atomic spectra, confirming their existence.

3. Can the atomic spectra of mono-electron species be predicted?

Yes, the atomic spectra of mono-electron species can be predicted using mathematical models such as the Bohr model or the Schrödinger equation. These models take into account the energy levels and transitions of electrons within the atom, resulting in a predicted pattern of atomic spectra.

4. How does the atomic spectra of mono-electron species differ from multi-electron species?

The atomic spectra of mono-electron species have simpler and more distinct patterns compared to multi-electron species. This is because multi-electron species have more complex energy levels and transitions, resulting in a more complicated atomic spectra.

5. Can atomic spectra be used to identify elements?

Yes, atomic spectra can be used to identify elements. Each element has a unique atomic spectra, allowing scientists to identify the elements present in a sample by analyzing the pattern of wavelengths emitted or absorbed by the atoms in the sample.

Similar threads

  • Atomic and Condensed Matter
Replies
2
Views
3K
  • Math Proof Training and Practice
Replies
16
Views
5K
  • Math Proof Training and Practice
6
Replies
175
Views
20K
  • Introductory Physics Homework Help
Replies
5
Views
4K
  • Introductory Physics Homework Help
Replies
11
Views
5K
  • Classical Physics
Replies
2
Views
2K
  • Advanced Physics Homework Help
Replies
5
Views
5K
Replies
2
Views
5K
Replies
2
Views
7K
  • MATLAB, Maple, Mathematica, LaTeX
Replies
1
Views
2K
Back
Top