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What is the relationship between atomic radius, ionic radius, ionization energy, and electron affinity? Are atomic and ionic radius related and going in the same direction and ionization energy and electron affinity related and going in the same direction?
They are all related and intertwined as part of the explanation for the trends in the periodic table. Yes, ionic and atomic radius follow the same trend (increases down a group and decreases across) while electron affinity and ionization energy follow the opposite trend (increases across and decreases down a group). I think you should read how they are each different from each other in the textbook though.
You can think of ionization energy and electron affinity as kind of opposites. Ionization energy is the amount of energy required to remove an electron while electron affinity is the energy required to add an electron. It might be helpful to remember the difference by thinking of affinity as something you are good at which would be positive, and therefore adding electrons while ionization energy would be the opposite. Hope that helped!
It's also important to remember that these are trends, not rules, so there are several exceptions that may break the patterns between them. For example, boron is to the right of beryllium in the periodic table, so its electron affinity is bigger but its ionization energy is smaller instead of larger as would be expected by the trends. So it's always safer to draw out electron configurations when determining if an element follows each trend.
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