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Effective Nuclear Charge

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Effective Nuclear Charge

Z* = Z –

Z = nuclear charge = atomic number

= shielding = electron-electron repulsions

H

He

Li

Example 1: For a 2s electron in a Be atom (1s22s2, Z = 4)

σ = 2(0.85) + 1(0.35) = 2.05

Zeff = 4 – 2.05 = 1.95

Example 2: For a 3p electron in a phosphorus atom (1s22s22p63s23p3, Z = 15)

σ = 4(0.35) + 8(0.85) + 2(1.00) = 10.20

Zeff = 15 - 10.20 = 4.80