Determining effective nuclear charge

  • Thread starter aglo6509
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Homework Statement



The 3s state Na has an energy of -5.14eV. Determine the effect nuclear charge.

Homework Equations



I believe you have to use:

En=-[(13.6eV)Zeff^2]/n^2


The Attempt at a Solution



So since Na is in the 3s state, I think n=3. So:

-5.14eV= -[(13.6eV)Zeff^2)]/9
-46.3eV=(-13.6eV)Zeff^2
Zeff=sqrt(3.40)=1.85

However the answer in the back of the book is giving me 1.14e, could someone show me my mistake?
 

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