Calculating the wavelength for series limit for the Paschen series

AI Thread Summary
The discussion revolves around calculating the wavelength for the series limit of the Paschen series, which involves transitions to n = 3. The user is confused about the initial quantum number (n_i) for the series limit, with varying opinions on whether it is 12, 14, or infinity. It is clarified that for the series limit, n_i approaches infinity, which simplifies the calculation to 1/infinity, equating to zero. Understanding the concept of the "series limit" is emphasized as crucial for accurate calculations. The conversation highlights the importance of grasping these foundational concepts in quantum mechanics.
vanabariel42
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Hi. I'm having some trouble calculating the wavelength for series limit for the Paschen series.
I've set the Rydberg equation up with 1/(n sub f squared) as 1/(3 squared), but I'm not sure what goes in for 1/(n sub i squared) as the initial position.
I'd appreciate any help. Thanks!
 
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The Paschen series describes transitions from a higher level down to n = 3. So n_f = 3 and n_i > 3
 
That I know, but what number corresponds to the series limit? Some places said 14, others said 12, and others infinity. I'm not sure how to use infinity in a calculation though.
 
Lucky for you all you need to use is 1/infinity. What's that? :wink:
 
that's a good question.
 
Try this:
\frac{1}{\infty} = 0
 
vanabariel42 said:
That I know, but what number corresponds to the series limit? Some places said 14, others said 12, and others infinity.
That you're asking this question means you do not understand what is meant by the term "series limit". Please make sure you understand what it means. If not, ask and find out.
 
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