Ionization energy

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Why does Phosphorus have a higher 1st ionization energy than Magnesium? Is it not harder to stip an electron off a full shell (aka Magnesium) than a half filled shell (aka Phosphorus)?
 
Well....This is my rational when it comes to ionization energy. P wants to gain electrons (not lose them) while Mg wants to get rid of them therefore it would take a lot more energy to get rid of electrons from P than Mg.
 
remember 1st ionization energy increases from left to right and bottom to top (essentially diagonally to Helium) on the periodic table.

both atoms are in the same row. so in this case you could think that the number of core electrons between the nucleus of each atom and its valence electrons are the same, but the difference lies in the number of nuclear protons. therefore the attractive pull of P's 15 protons is higher than that of Mg's 12 and would make it more difficult to strip P of the first electron.

in this specific comparison you can relate 1st ionization energies to the difference of their effective nuclear charge seeing as they're in the same row (but this method won't work in every case).
 
I know this beside the point but remember what chad said. EXCEPTIONS on Ionization group 2 and 5.
Just wanted to throw this out there, found this on the test.
 
group 2 has a higher 1st ionization than group 3, and group 5 has a higher 1st ionization than group 6. Just something I remember chad showing through a graph, which ended up helping for the exam.
 
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