How is ionization an endothermic reaction?

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Ionization is classified as an endothermic reaction because it requires energy input to remove a valence electron from an atom, resulting in a higher energy state for the product. The ionization energy, such as that of sodium, indicates the energy needed to transition from a neutral atom to an ionized state. Although the neutral atom may seem to have more potential energy, the process of ionization necessitates energy to overcome the attraction between the electron and the nucleus. This energy input is essential for the electron to be ejected, confirming the endothermic nature of the reaction. Understanding ionization as a two-way process involving energy transfer clarifies its classification as endothermic.
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I don't get how ionization is an endothermic reaction.

In an endothermic Reactions: the reactants have less potential energy than do the products. Energy must be input in order to raise the particles up to the higher energy level.

The ionization energy, is the energy required to completely remove a valence electron from a gaseous atom or ion.

EX: Na(g) → Na+(g) + e- I1 = 496 kJ/mole

The reactant though, Na, has more potential energy (it is further away from the nucleus when compared to its ionic counterpart, which just lost an electron) than the product?

Am I thinking wrong? PlEASE HELP!
 
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Ionization is a two way process, what I'm saying is ionization occurs when the atom body has too little electrons or too many.
 
Ionization of a material (gas, liquid, or solid) by a high energy charged particle is a collision between the fast charged particle and an electron bound in a stationary neutral atom. The electron is ejected from the atom, leaving an atom missing one electron. This is the basis for the Bethe-Bloch equation. The minimum energy transfer is of the order of the ionization. Energy must be input to leave the atom in an excited (ionized) state, so it is endothermic..
See http://en.wikipedia.org/wiki/Bethe_formula
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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