Periodic trends are explained by three interconnected ideas: effective nuclear charge (Z_eff), the shell model, and Coulomb's law. Z_eff is the net positive charge an electron experiences after accounting for shielding by inner electrons. As Z_eff increases, electrons are pulled closer and held more tightly. Moving across a period, Z_eff increases because protons are added but shielding stays roughly constant. Moving down a group, a new shell is added, increasing distance and shielding, which outweighs the increase in nuclear charge.
- Effective nuclear charge: The net positive charge felt by a valence electron after inner electrons partially cancel the full nuclear charge. Z_eff increases across a period.
- Atomic radius: Decreases across a period (higher Z_eff pulls electrons closer) and increases down a group (new shells add distance).
- First ionization energy: Increases across a period (higher Z_eff holds electrons more tightly) and decreases down a group (valence electrons are farther away and more shielded).
- Electronegativity: Increases across a period and decreases down a group, following the same logic as ionization energy. Fluorine has the highest electronegativity.
- Electron affinity: The energy released when a neutral atom gains an electron. Generally becomes more negative (more energy released) across a period, with exceptions at filled and half-filled subshells.
Rank Na, Mg, and Al in order of increasing first ionization energy and explain the trend using Z_eff.
| Property | Across a period (left to right) | Down a group |
|---|
| Atomic radius | Decreases | Increases |
| First ionization energy | Generally increases | Decreases |
| Electronegativity | Increases | Decreases |
| Electron affinity | Generally more negative | Less negative |
| Effective nuclear charge | Increases | Roughly constant for valence e- |