Effective Nuclear Charge Calculator

Calculate the effective nuclear charge experienced by electrons using Slater's rules.

Valence Electron (3s)

Nuclear Charge (Z)

11

Shielding (Οƒ)

8.80

Zeff

2.20

Zeff = Z - Οƒ = 11 - 8.80 = 2.20

Zeff by Orbital

OrbitalElectronsShielding (Οƒ)Zeff
1s20.3010.70
2s22.058.95
2p63.457.55
3s18.802.20

Slater's Rules Summary

  • Same group (ns, np): 0.35 each (0.30 for 1s)
  • (n-1) shell s,p electrons: 0.85 each
  • Lower shell electrons: 1.00 each
  • d and f electrons: 1.00 for s,p valence