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Zeff and ionization energy

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how do i work out Zeff in He if i have the first ionization energy - 2372kJ/mol and the ionization energy for He+ - 5250kJ/mol. i know that IE is proportional to Zeff squared, but surely i cant work out the actual value for Zeff with only this information???? im really confused!

There is a quantum mechanical derivation of Zeff based on screening potentials of electron clouds. I don't have the actual equation on me right now, but its a nasty integral.

 

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