Why are cations smaller and anions larger in radii than their parent atom?
The size of the parent atom is measured in terms of the radius of the valence electron(s).
To become a cation, one of the valence electrons must be removed. The shielding effect between like (electronic) charges is relieved, and the positive nuclear core contracts the ionic radii with respect to the atom.
On the other hand, if an atom is reduced, an electron is added to the valence shell. The valence shell should expand to accommodate electron-electron repulsions and thus an anion should be inherently larger than its neutral parent atom.
As a chemist, as a physical scientist, you should look at some data to see whether these assertions are valid. Here is a start.
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A negative electron-electron repulsion and a stronger attraction between the remaining electrons and the nucleus are the reasons why cations have smaller radii than their parent atoms; on the other hand, anions have larger radii than their parent atoms because they acquire one or more electrons, which results in a positive electron-electron repulsion and a negative attraction between the electrons and the nucleus.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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