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In line with all above answers, yes, atomic radii increases the more electrons there are. However it is important to also note that atomic radii increases not per electron, but per subshell. Each subshell will hold a certain amount of electrons, and atomic radii increases with each new subshell.
You have to take into the account the charge of the nucleus as well. For example, Fluorine has more electrons than oxygen, but it has a smaller radius than oxygen. That is why the size becomes smaller if you go down a group. However, just adding electrons to an atom will make it bigger. A fluorine ion is much bigger than just a neutral fluorine.
Yes, this is true. However, you have to remember that going across a period, the number of electrons is increasing, but so is the effective nuclear charge. Therefore, the atomic radius gets smaller across a period, but increases down a group.
Yes - essentially, the more electrons there are, the more electron repulsion there is. This inherently increases the radius. However, there are more factors affecting this than the number of electrons, such as the pull of the nucleus which is determined by the number of protons and the number of core shielding electrons.
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