Finding the Mystery gas questions

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SUMMARY

The discussion centers on using Bohr's theory and the Rydberg constant to identify a mystery gas by analyzing its spectral lines. The formula 1/λ=RZ²(1/n_i² - 1/n_f²) is employed, with the user seeking to determine the appropriate quantum numbers n_i and n_f for accurate results. The user expresses uncertainty about the applicability of this method to various gases, particularly whether it is limited to electron-like atoms such as singly ionized Helium (He+). The spectral line energies for ionized helium are noted, specifically the transition from 2p to 1s, which corresponds to 40.8 eV.

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Students and researchers in physics, particularly those focusing on atomic spectroscopy, quantum mechanics, and the identification of gases through spectral analysis.

MonsieurWise
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I'm doing an experiment of the Bohr's theory and the Rydberg constant. I want to find the element of a mystery gas using the derivation of the Bohr's theory:
1/λ=RZ^2 (1/〖n_i〗^2 -1/〖n_f〗^2 )
I think if I have the wavelength lambda, all I need to do is guessing a right series of n_i and n_f till it gets me a straight line.
My problem is I'm not sure that this way can actually work with any gas (Helium for example), or only work with "electron-like" atoms (Singly ionized Helium for example). And I can't find any "Singly ionized Helium spectrum" on the internet. There's only Helium spectrum...
Could someone help me...?
Thank you very much in advance...
 
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The spectral line energies of ionized helium are usually shown as a line of He+ (meaning ionized helium) vs. He (for unionized helium) in tables. The most dominant lines are probably 2p -> 1s (n=2 to n=1) transitions, which are about 4 x 3/4 x 13.6 eV = 40.8 eV (304 Angstroms).
 
Thanks ^^
 

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