The Concept of Electron Gain Enthalpy
To truly master the periodic table, we must understand the energetic transactions that occur when atoms interact with electrons. Electron gain enthalpy (ΔegH) is defined as the enthalpy change that takes place when an isolated gaseous atom accepts an extra electron to form a negative ion.
For halogens, this process is highly favorable. They are just one electron short of achieving a stable, noble gas electron configuration. Because they 'want' this electron so badly, a large amount of energy is released when they finally get it. In thermodynamics, energy released is denoted by a negative sign, meaning the process is highly exothermic.
The Expected Trend
If we look at the general trends of the periodic table, as we move down a group, the atomic size increases. The outermost shell gets further and further away from the positively charged nucleus.
Because the incoming electron is added to a shell that is farther from the nucleus, the electrostatic force of attraction it experiences is weaker. Consequently, less energy is released. Therefore, we expect the electron gain enthalpy to become less negative as we go from Fluorine down to Iodine.
The Fluorine Anomaly
A Crowded Room
But nature loves exceptions, and Fluorine is a classic one! Fluorine is exceptionally small. Imagine a tiny room already packed with seven people (its valence electrons). When an eighth person (the incoming electron) tries to enter, the people inside push back.
This is exactly what happens at the atomic level. The incoming electron faces intense inter-electronic repulsion from the dense electron cloud in Fluorine's compact 2p subshell. Because of this repulsion, the net attraction is reduced, and the energy released is actually less than expected.
Chlorine, on the other hand, is larger. Its 3p subshell is more spacious, so the incoming electron doesn't face as much repulsion. Thus, Chlorine releases more energy than Fluorine when it gains an electron.
The Final Verdict
Because of this anomaly, Chlorine has the most negative electron gain enthalpy in the entire periodic table. The correct order of energy released is:
When we look at the given values, we must find the sequence where the second value (Chlorine) is the most negative, followed by the first (Fluorine), then the third (Bromine), and finally the fourth (Iodine).
The values −333 kJ/mol for F, −349 kJ/mol for Cl, −325 kJ/mol for Br, and −296 kJ/mol for I perfectly match this physical reality.