Absoprtion specrum, identifying the 1 electon atom

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The discussion revolves around identifying an unknown one-electron ion based on its absorption spectrum transitions. The provided energy transitions suggest the use of the formula Delta E = Rh (1/nf^2 - 1/ni^2) to calculate the ionization energies. Participants express confusion over obtaining integer values and the relevance of the three ionization energies, with one suggesting that the unknown ion could be Beryllium (Be). The main challenge is determining the atomic number (Z) from the given data. The conversation highlights the need for clarity on how to approach the calculations effectively.
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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
 
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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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