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Electronegativity is the tendency of an atom to attract electrons.

In general the electronegativity of elements increase as you move left to right across the Periodic Table (except for the noble gasses, which tend to not form bonds). This is because, as you move to the right, the atoms have more protons, creating a larger positive charge to attract electrons. The number of electrons also increases, but the additional electrons are in the same shell, so they do little to block this positive charge.

Electronegativity also decreases as you move down a group of the periodic table. This is because as you move down, the atoms get larger, meaning that the outer shell of electrons is farther from the nucleus of the atom, and therefore farther from the positive charge holding it in. They also have more shells of electrons between the nucleus and the outer shell, which shield the outside from the positive charge.

Following these two basic rules, it is easy to see that fluorine, which in the upper-right corner of the periodic table is the most electronegative.

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