Spectrum of singly ionised helium

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    Helium Spectrum
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Discussion Overview

The discussion revolves around the spectral characteristics of singly ionized helium compared to hydrogen, focusing on the differences in their line spectra due to the number of protons in their nuclei. Participants explore theoretical implications and calculations related to this topic.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant notes that ionized helium has two protons, which they believe significantly alters its line spectrum compared to hydrogen.
  • Another participant argues that while the line spectrum changes, it is not completely different, suggesting that all energy levels are multiplied by a factor of 4 due to the increased nuclear charge.
  • A third participant expresses a desire to compare specific lines in the spectra of hydrogen and singly ionized helium, seeking guidance on how to approach this comparison.
  • A later reply suggests using the Rydberg formula, highlighting that the factor of Z² applies, with Z being 1 for hydrogen and 2 for helium, indicating that the calculations remain consistent aside from this factor.

Areas of Agreement / Disagreement

Participants express differing views on the extent of the changes in the line spectrum, with some suggesting significant differences and others proposing that the changes are more quantitative than qualitative. The discussion does not reach a consensus on the implications of these differences.

Contextual Notes

Some assumptions about the nature of the line spectrum and the application of the Rydberg formula are not fully explored, and there may be unresolved mathematical steps in the comparison process.

Who May Find This Useful

Individuals interested in atomic physics, spectroscopy, or those studying the differences between hydrogen and helium spectra may find this discussion relevant.

gianeshwar
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Dear Friends!
We know ionized helium has two protons in its nucleus, whereas hydrogen has one. This changes the line spectrum completely.
Why? Thank You in advance!
 
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The attraction of the electron doubles at the same distance.
The line spectrum is not completely different, all energies are multiplied by a factor of 4.
 
Thank You!
Frequency corresponding to first line in Laymen series in hydrogen spectrum is to be compared to the corresponding line in single ionised helium.
How to proceed to find the solution if relevant.
I am studying this subject after a long time ,but am keen.
I hope to accelerate my understanding with your expert guidance!
Thanks!
 
Just use the Rydberg formula. You'll see a factor of Z2 there. It is 1 for hydrogen and 22=4 for helium, everything else stays the same.
 

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