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Effective Nuclear Charge for Sodium Atom

  1. Apr 3, 2016 #1
    1. The problem statement, all variables and given/known data
    The 3s state Na has an energy of -5.14 eV. Determine the effective nuclear charge.

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

    3. 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.
  2. jcsd
  3. Apr 4, 2016 #2
    there are some ways to calculate it-

    write down the equation for energy state and use it to calculate zeffective
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