Why Are Absorption Lines Observed Only in the Lyman Series for Hydrogen?

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SUMMARY

Absorption lines are exclusively observed in the Lyman series for hydrogen due to the energy requirements for electron transitions. The minimum energy needed to excite an electron from the ground state (n=1) to higher levels is 10.2 eV, which is not achievable with visible light photons (1.59-3.27 eV). The Lyman series corresponds to ultraviolet wavelengths (91.2 nm to 121.5 nm), which are necessary for these transitions. Therefore, without sufficient energy, transitions to the Balmer series (n=2) cannot occur, confirming the absence of absorption lines in that range.

PREREQUISITES
  • Understanding of Bohr's model of the hydrogen atom
  • Knowledge of photon energy and wavelength relationships
  • Familiarity with electron energy levels in hydrogen
  • Basic principles of quantum physics
NEXT STEPS
  • Research the Lyman series and its significance in atomic physics
  • Study the energy transitions in hydrogen and their corresponding wavelengths
  • Learn about the Balmer series and its absorption characteristics
  • Explore the relationship between photon energy and electron excitation
USEFUL FOR

Students of quantum physics, educators teaching atomic structure, and anyone interested in the spectral analysis of hydrogen.

aim1732
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When white radiation is passed through a sample of hydrogen gas(atoms assumed actually) why are absorption lines observed in Lyman series only?
The corresponding photon energy range for visible light(380-780nm) are 1.59-3.27eV which should cause transitions of electrons in the first excited state(n=2) only.This should give absorption spectrum lines in Balmer series.Am I wrong?
Please,I am studying Bohr's model and any explanation involving quantum physics(except of course the very basics) will not be clear to me.
 
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In what energy level should a hydrogen atom in the sample be in order to absorb a photon in the Balmer series? That is, what should the initial value of n be?
 
Second,of course(n=2).
But it is not mentioned in the question that the atoms are in ground state hence I assumed a random distribution. Anyways it takes a minimum of 10.2eV to excite an electron from n=1 shell which is clearly not available for photons of visible light.
 
aim1732 said:
Second,of course(n=2).
But it is not mentioned in the question that the atoms are in ground state hence I assumed a random distribution. Anyways it takes a minimum of 10.2eV to excite an electron from n=1 shell which is clearly not available for photons of visible light.
Correct. Although the question does not mention it, you are supposed to figure it out and you have. The question also doesn't mention that the sample of hydrogen is bathed in 10.2 eV photons, therefore it is a good assumption that it is not.
 
It exactly depends on the state of the atom .For Lyman Series the shortest wave length is 91.2 nm correspond to 13.6 ev and the longest is 121.5 nm correspond to 10.2 ev and all other wavelength in this series are between these 2 limits.So it is clear that this series contains only ultra violate waves.
 

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