Effective Nuclear Charge for Sodium Atom

  • #1
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Homework Statement


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

Homework Equations


##Z_{eff} = Z - s## Where Z is the atomic number and s is the number of shells in inner orbits.

The Attempt at a Solution


The textbook doesn't go into much more detail than this. All I have is ##Z_{eff} = 11 - 10 = 1e## The correct answer is 1.14e. How do I incorporate energy into my calculations. I understand that that a higher negative energy would imply a higher effective charge because of the greater attraction, but analytically, I do not know how to get there.
 

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