Effective nuclear charge

The key idea

An electron in a many-electron atom experiences the attraction of the nucleus modified by shielding and electron-electron interactions. Effective nuclear charge is a useful model of the resulting attraction.

Why it matters

It helps explain why periodic trends cannot be understood from nuclear charge alone.

A picture to remember

Key idea

Effective nuclear charge

+
Key idea

Effective nuclear charge

Approximation : Z_eff ≈ Z − S

An electron in a many-electron atom experiences the attraction of the nucleus modified by shielding and electron-electron interactions. Effective nuclear charge is a useful model of the resulting attraction.

Guided example

Effective nuclear charge

An electron in a many-electron atom experiences the attraction of the nucleus modified by shielding and electron-electron interactions. Effective nuclear charge is a useful model of the resulting attraction.

Put it into practice

Effective nuclear charge

Choose a concrete case linked to Effective nuclear charge. Write down the known information, what you are trying to find, and the units. Then state the rule, model or trend you will use. If a calculation is involved, keep the units visible at every line; if it is conceptual, state what changes and what remains fixed.

Check your answer

A strong answer contains four things: the starting situation, the variable that changes, the direction or numerical result, and one check. The check can be a unit, an order of magnitude, a limiting case or a comparison with a familiar example.