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Coulombic attraction is the force that draws oppositely charged particles toward each other. In an atom, this means the positively charged protons in the nucleus attract the negatively charged electrons around them. This force is essential for keeping electrons in orbit around the nucleus. The greater the charge and the closer the electrons are to the nucleus, the stronger this attraction becomes.
However, when electrons are added to an atom, like in a phosphorus ion (\(P^{3-}\)), the balance of charges shifts slightly. Although more electrons are drawn towards the nucleus by Coulombic attraction, the increased number of electrons also means more repulsion among themselves.
In the case of \(P^{3-}\), the greater number of electrons result in increased electron-electron repulsion which eventually overshadows the attraction, expanding the ion's size.

Electron-electron repulsion occurs when electrons repel each other because they all carry a negative charge. This repulsion is a prominent factor when an atom gains electrons, as seen in the formation of ions.
For a phosphorus ion (\(P^{3-}\)), additional electrons increase repulsion forces among all electrons in the atom, particularly those in the farthest shells. This repulsion pushes the electrons further apart, resulting in a larger atomic or ionic radius.
In simple terms, the more crowded the electron shells become due to the addition of electrons, the more they repel each other, causing the atom or ion to expand in size.

The ionic radius is the measure of an ion's size, influencing how ions fit into crystal structures in different compounds. It changes compared to the neutral atom's radius when an atom gains or loses electrons.
When electrons are added to form a negative ion, like \(P^{3-}\), the ionic radius increases. This is due to the extra electrons increasing repulsion forces among negative charges, facilitating an expansion of the electron cloud.
Thus, a larger ionic radius in \(P^{3-}\) compared to a neutral phosphorus atom means that the ion is physically larger because of enhanced repulsive forces between the added electrons.

The phosphorus ion, \(P^{3-}\), is created when a neutral phosphorus atom gains three electrons. This changes the electron count from 15 to 18, while the number of protons remains the same at 15.
The addition of these electrons occurs in the outermost shell, increasing repulsion among electrons as they try to fit into the same orbital levels. This enhancement in electron-electron repulsion causes the ionic radius to grow, making \(P^{3-}\) larger than its neutral counterpart.
The charge of \(P^{3-}\) means there is more negative charge than positive in the ion, intensifying the repulsive forces further.

A neutral phosphorus atom is one where the number of protons equals the number of electrons, both being 15 in phosphorus. This balance means the atom has no overall charge, aligning the forces between the protons and electrons evenly.
Phosphorus, like many elements, strives to reach a stable electron configuration, often similar to the nearest noble gas. Achieving this stability can mean gaining, losing, or sharing electrons, such as in the formation of ions like \(P^{3-}\).
In a neutral state, phosphorus maintains Coulombic attraction between its own protons and electrons efficiently, without the additional electron-electron repulsion that larger ions like \(P^{3-}\) experience, keeping it at a smaller size compared to its ionic form.