Why Are There Only 4 Visible Emission Lines in the Bohr Model for Hydrogen?

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SUMMARY

The discussion centers on the observation of only four visible emission lines in the Bohr model for hydrogen, specifically within the Balmer series. The emission lines correspond to transitions between energy levels n=3 to n=6, which produce wavelengths greater than 400nm and fall within the visible spectrum. Higher energy levels (n>4) emit photons that are beyond the visible range, thus not observable. The conversation highlights the importance of understanding the limitations of the Bohr model and the existence of other spectral series, including those in the ultraviolet range.

PREREQUISITES
  • Understanding of the Bohr model of the atom
  • Knowledge of photon absorption and emission principles
  • Familiarity with the Balmer series of hydrogen
  • Basic concepts of electromagnetic spectrum and wavelength
NEXT STEPS
  • Research the Balmer series and its significance in spectroscopy
  • Explore the Rydberg formula for predicting spectral lines
  • Learn about other spectral series, such as Lyman and Paschen
  • Investigate quantum mechanics and its implications beyond the Bohr model
USEFUL FOR

Chemistry students, educators, and anyone interested in atomic theory and spectroscopy will benefit from this discussion, particularly those looking to deepen their understanding of hydrogen's emission spectra.

osker246
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I am feeling a little stupid asking this considering I am about to graduate with my BS in chemistry. But I have never given this much thought, nor do I remember learning this and I can't figure out a proper explanation. I am sure I am overlooking a simple detail, but I can not figure it out.

Ok, so I understand the bohr model and the principles behind photon absorption/emission perfectly fine. But one thing that is puzzling to me is why is it when the bohr model is applied to an atom such as hydrogen, only 4 emission lines observed? Can't it have more? I ask this because, the energy levels, n, go from n=0,1,2,3,4,...,infinity, right? So obviously there are more than 4 different energy levels that are capable of emitting a photon. Anybody have an answer?

*edit*

I think I figured it out...is it due to when n>4 that the only wavelength emitted are beyond the visible spectrum, thus meaning it is not visible to us?
 
Last edited:
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Essentially, you have answered your own question, I think. However, it will be easiest to restrict our attention to the Balmer series, especially to the spectral lines H-alpha to H-gamma. Where λ >400nm (i.e. (n=3) to (n=6)) the photon emitted lies within the visible spectrum.

There are many series in addition to Balmer, even where n-prime is greater than 6.

There are series constructed entirely within the UV portion of the spectrum, for example.

If you are interested in physical fundamentals, you will have to go beyond the Bohr model, however for the purposes of the foundations of chemistry this could be unnecessary. Most applications of partially quantised classical theories and models are fine (i.e. work) within certain scales.
 

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