Discovering Unknown Gases: Using Quantum Numbers for Spectrum Analysis

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Uhm...I'm doing some experiment with some unknown gas tubes. I have a spectrum when I use the grating. Can I, by some ways, use the quantum numbers to identify what the gas inside is...? I've heard of one method, but I could not find the name. Thank you in advance.
 
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In principle you can, if you can find out the whether or not it is an atomic species or diatomic species you should be able to figure out the gas...
 
Oh yeah, I used only atomic species (like just Lithium gas or hydrogen gas, is that what u mean...?). Is there a way I can identify the mystery gas?
The way I'm trying right now is to use the equation 1/lambda = RZ^2 (1/n_f + 1/n_i), play around with the numbers to guest n_f and n_i, plot the points on a graph, with (1/n_f + 1/n_i) on the x-axis and (1/lambda) for y-axis. The linear best fit line should give me a slope of RZ^2, and that would be how I find Z, thus the element.
However, I found this method is way too simple and I can just apply it to small atoms, such as Hydrogen or Helium. For big atom like Oxygen...well, I failed miserably. I searched but find no other methods to include the others quantum numbers into calculation. Could you show me a website that introduce the method?
this is the first time I've done anything with Quantum Physics...sorry if my questions seems stupid...
Thank you very much!
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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