Effective nuclear charge is one of the most important underlying ideas behind periodic trends in IB Chemistry. It determines how strongly electrons are held, how large atoms are, how easily electrons are removed, and how readily atoms attract electrons in bonding. Mastering this concept makes trends like ionization energy, electronegativity, and atomic radius much easier to understand.
What Is Effective Nuclear Charge?
Effective nuclear charge (Zₑff) is the net positive charge experienced by an electron in an atom after accounting for shielding by inner electrons.
In simple terms:
- The nucleus has a certain number of protons (positive charge)
- Inner electrons block some of this charge
- Outer electrons feel only part of the nuclear pull
This reduced pull is the effective nuclear charge.
The Formula for Effective Nuclear Charge
A simplified IB-level formula is:
Zₑff = Z – S
Where:
- Z = number of protons (nuclear charge)
- S = shielding constant (number of inner electrons)
Example:
For sodium (Na):
Z = 11, S = 10
Zₑff = 11 – 10 = +1
This means sodium’s outer electron feels a +1 pull from the nucleus.
Why Shielding Matters
Shielding occurs because:
- Inner electrons repel outer electrons
- These repulsions reduce the attraction from the nucleus
The more inner shells an atom has:
- The greater the shielding
- The weaker the attraction on outer electrons
