How To Find Effective Nuclear Charge?

Use the formula: (Z_{text{eff}} = Z – S)

Identify (Z), the atomic number

Determine (S), the shielding constant

Estimate (S) using Slater’s rules

For same-shell electrons, use the appropriate shielding value from Slater’s rules

For inner-shell electrons, add their shielding contributions

Subtract total shielding from atomic number

For a quick estimate, use (Z_{text{eff}}) as the net positive charge felt by the electron

For valence electrons, calculate shielding from core electrons first

Compare (Z_{text{eff}}) across elements by noting that it generally increases from left to right across a period

Compare (Z_{text{eff}}) within a group by noting that it changes less dramatically down a group

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