Absoprtion specrum, identifying the 1 electon atom

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SUMMARY

The discussion focuses on identifying an unknown one-electron ion, specifically He+, using the absorption spectrum data provided. The energy transitions listed are 1646254.1 cm-1, 1560886.3 cm-1, and 1316965.2 cm-1. The key equation used is Delta E = Rh (1/nf2 - 1/ni2), where Rh is the Rydberg constant. The discussion highlights the challenge of deriving integer values for quantum numbers and suggests that the unknown ion may be beryllium (Be) based on the ionization energies.

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Homework Statement


The energies of some transitions observed in the absorption spectrum of an unknown one electron ion ( eg He+) are listed. Given that these transitions originate from the lowest energy level suggest an identification of the unknown ion

UNKNOWN ION (CM^-1)
1646254.1
1560886.3
1316965.2

Homework Equations



ok, i am using Delta E = Rh (1/nf^2 - 1/ni^2) where f stands for final and i for initial

The Attempt at a Solution



the problem is that I am not getting numbers close to integer values. I am not sure if the q even requires a numerical answer, as 3 ionisation energies must mean that the element is Be. I really don't know where to start. pls help
 
Last edited:
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These are "some transitions", so it is not a complete list of three ionization energies.

Obvious line of attack is to try to find Z from the data given.
 
How?

how would you find z? sorry, I have no clue
 

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