Comparing Atom Sizes: Be vs B & P vs Cl

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In comparing atom sizes, beryllium (Be) is larger than boron (B), while phosphorus (P) is larger than chlorine (Cl). The size of atoms generally decreases across a period due to the increasing positive charge of the nucleus, which pulls outer electrons closer. As more protons are added, the attraction to the nucleus strengthens, resulting in smaller atomic radii. However, when moving down a group in the periodic table, the addition of electron shells can lead to larger atomic sizes despite the increased nuclear charge. Ultimately, the balance between nuclear attraction and electron shielding determines atomic size trends.
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Homework Statement


I have a few questions here that say to identify which atom from each pair is larger.

One pair is Be and B, and the other is P and Cl.


Homework Equations


N/A


The Attempt at a Solution


I know that Be is larger than B, and that P is larger than Cl. I'm just having trouble understanding why. Is there some rule of thumb that says that sizes of atoms increase when you go across a period? What is the reasoning behind this?
 
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Imagine you are an electron in the outermost shell of these pairs of elements. You are negatively charged and attracted to the positive nucleus. How close you are to the nucleus is determined by the magnitude of the charge exerted on you by the nucleus. All of the other electrons in the outermost shell feel the same forces as you. Now add a couple of protons and neutrons to the same nucleus. Are you more strongly or less strongly attracted to the nucleus? How would that affect your distance from the nucleus?
 
So you're saying that, since the elements that are further down a period have more positive charges in the nucleus, the outer electrons are condensed inward and therefore the atom is smaller? At what point does this stop being true?

Further down in the periodic table, as the number of total electrons gets larger, won't the addition of sublevels overpower the nucleus wanting to pull the electrons closer? Judging by the comparison of some larger elements' molar volumes to those of smaller elements, I would think that must be the case.
 
To answer the first part of your post: You can think of the electrons being drawn closer to the nucleus as you go to the right in a period because the number of protons increases and so attracts the electrons more. Once you move to a new shell, the atom is larger since the new outer shell is further away from the nucleus.
 
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