Doubts regarding atomic spectra of mono-electron species

  • #1
56
2

Main Question or Discussion Point

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
 

Answers and Replies

  • #2
Dr_Nate
Science Advisor
251
138
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
56
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.
Can you give any source material on this concept containing the formulas? In Wikipedia there are only 1st 2 series
 
  • #4
Dr_Nate
Science Advisor
251
138
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 here might be useful links.
 

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