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Intermediate Topic 70 of 1102 Atomic Structure & Periodicity

Effective Nuclear Charge

The net positive charge felt by an electron after accounting for shielding by other electrons.

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In-depth explanation of Effective Nuclear Charge

The effective nuclear charge, Z_eff, is the net positive charge felt by an electron after accounting for shielding by the other electrons. It is calculated as Z_eff = Z - S, where Z is the atomic number and S is the shielding constant. Z_eff rises across a period as protons are added without much extra shielding, and it changes only a little down a group. This explains trends in atomic radius, ionisation energy and electronegativity. A higher Z_eff pulls outer electrons closer to the nucleus.

Going deeper: Effective Nuclear Charge

Key ideas: Z_eff = Z - S, where S is the shielding constant, the net positive charge felt by an electron. For Na valence 3s, Z_eff is about 2.2 (Slater); across period 2 it rises about 0.65 per element. The attraction scales as Z_eff / r^2, which explains atomic size and ionization energy trends.

Common mistakes and connections: Students use the full nuclear charge Z for outer electrons or think Z_eff is constant down a group. In fact, it rises slowly down a group but n grows more. Same-shell electrons shield each other poorly (0.35 each). Z_eff ties to atomic radius, electronegativity, and ionization energy.

Visualization of Effective Nuclear Charge

Zeff for the outer electron rises about 0.65 per element across period 2 because each extra proton is only weakly shielded by same-shell electrons. The interactive lesson shows this as a live animation or chart.

Worked example and use case

For a 2p electron of fluorine, Z = 9 and the shielding constant is about 3.8, so Z_eff is about 5.2.

Frequently asked questions about Effective Nuclear Charge

What is Effective Nuclear Charge?

The net positive charge felt by an electron after accounting for shielding by other electrons.

Is Effective Nuclear Charge a beginner, intermediate or advanced topic?

Effective Nuclear Charge is a intermediate topic in Atomic Structure & Periodicity. It builds on the vocabulary of beginner topics in this area.

What should I learn before Effective Nuclear Charge?

Study these earlier topics in Atomic Structure & Periodicity first: Exceptional Configurations of Cr and Cu, Valence Electrons, Core Electrons.

What comes after Effective Nuclear Charge?

The next topics in Atomic Structure & Periodicity are Shielding Effect and Slater's Rules.

Can I practise Effective Nuclear Charge with quizzes?

Yes. The interactive lesson includes a self-check question on Effective Nuclear Charge, and the Atomic Structure & Periodicity quiz draws on every topic in this area.

Where Effective Nuclear Charge fits in Atomic Structure & Periodicity

Effective Nuclear Charge is topic 70 of 115 in Atomic Structure & Periodicity.

Related topics

Browse all 115 topics in Atomic Structure & Periodicity