Effective Nuclear Charge Calculator

Find effective nuclear charge from protons and shielding.

Effective nuclear charge 2.2

Formula: Z_eff = Z − S

Step-by-step with your numbers:
1. Values used:
2. Atomic number (Z) = 11
3. Shielding (S) = 8.8
4.
5. Effective nuclear charge = Atomic number (Z) - Shielding (S) = 11 - 8.8 = 2.2
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Effective nuclear charge is the net positive charge an electron actually feels.

The math behind it

Z_eff = atomic number − shielding constant (estimated via Slater's rules).

Worked example

Sodium: 11 − 8.8 → 2.2.

FAQ

Why less than Z?

Inner electrons shield outer ones from the full nuclear charge.