Calculating the wavelength for series limit for the Paschen series

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Homework Help Overview

The discussion revolves around calculating the wavelength for the series limit of the Paschen series in atomic physics, specifically using the Rydberg equation. Participants are exploring the appropriate values for the quantum numbers involved in the calculation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the correct initial quantum number for the series limit and the meaning of the term "series limit." There is uncertainty regarding whether to use specific numbers or infinity in the calculations.

Discussion Status

The conversation is ongoing, with some participants providing insights into the nature of the Paschen series and the concept of the series limit. However, there is no explicit consensus on the correct approach or interpretation of the series limit.

Contextual Notes

There is confusion regarding the values that should be used for the initial quantum number, with varying opinions on what corresponds to the series limit. Some participants mention different numbers and the concept of infinity, indicating a lack of clarity on the topic.

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 [itex]n_f = 3[/itex] and [itex]n_i > 3[/itex]
 
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:
[tex]\frac{1}{\infty} = 0[/tex]
 
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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