Undergrad Calculation of absorption edges of Niobium

[LeoJakob]

I want to calculate the K and L absorption edges for Niobium (Nb).

Could anyone explain the steps to calculate these absorption edges?

I don't know how to use the Moseley law to calculate those values:

https://en.wikipedia.org/wiki/Moseley's_law

For reference, Niobium has:

• Shielding Constants:
  • K-shell (σ_K): 1
  • L-shell (σ_L): 7.4
• Element 41: Nb Atomic mass: 92.9064
  
  Edge keV
  K 18.9856
  L-I 2.6977
  L-II 2.4647
  L-III 2.3705

Thanks a lot in advance!

 

[Mordred]

its been quite a while for myself ( my focus last couple of decades ie early universe processes) I didn't need this so haven't done this in decades lol
that being said first you need to recognize the k shell relations vs the L shell relations

so lets post some key relations as an assist.
$\sqrt{v}=a(Z-b)$ where
$a=\sqrt{3Rc/4}$
b=1
R=Rydberg constant,(1.1*10^7m^{-1} c =speed of light, Z is the atomic number

for L series
$a=\sqrt{5Rc/36}$
b=7.4

the above is from
https://www.concepts-of-physics.com/modern/media/moseleys-law.pdf
as stated its been decades for myself that alone should help if you haven't gotten this far you have the correct values above so I can only assume you got them from some table such as the table of x ray emission lines ( handy table to keep)
https://www.horiba.com/fileadmin/uploads/Scientific/Documents/XRay/emission_lines.pdf
another useful article detailing some of the relativistic corrections
https://advlabs.aapt.org/bfyiii/files/AJP_85_352_2017.pdf

hope that helps

 

[LeoJakob]

Thank you ! :)

 

[Mordred]

Your welcome