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Atoms can attract additional electrons if there is room for them in the valence energy level. When an extra electron moves into the valence shell, it can feel the attraction exerted by the effective nuclear charge. Because the effective nuclear charge is largest for the elements on the right side of the Periodic Table, those atoms provide the greatest attraction for electrons and have the greatest tendency to gain electrons.

Thus the tendency of atoms to gain electrons increases as we go from left to right across the periodic table. At least it increases until we get to the inert gases. There it drops off to zero because there is no room for additional electrons in the valence energy level. A new electron would have to start a new energy level, but there would not be an additional proton in the nucleus to provide any effective nuclear charge.

As we look at elements going down the periodic table, the effective nuclear charge remains the same, so the increase in the number of energy levels is the important factor. The tendency of atoms to gain electrons decreases as we go down the periodic table. The reason for this is simply that with the larger atoms the added electron is not as close to the nucleus and therefore the attractive force exerted by the effective nuclear charge is not as powerful as it is in the smaller atoms.

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