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Using Slater's rules, what are the effective nuclear charge and the screening constant for chlorine (atomic number 17)?

1. Effective nuclear charge = 10.9, Screening constant = 6.1
2. Effective nuclear charge = 10.1, Screening constant = 6.9
3. Effective nuclear charge = 6.9, Screening constant = 10.1
4. Effective nuclear charge = 6.1, Screening constant = 10.9

Correct answer: Effective nuclear charge = 6.1, Screening constant = 10.9

Solution

Cl (Z=17) has configuration (1s²)(2s² 2p⁶)(3s² 3p⁵). For a 3p electron: shielding = 5*0.35 (same group, 5 other 3s/3p electrons) + 8*0.85 (n=2 shell) + 2*1.00 (n=1 shell) = 1.75 + 6.80 + 2.00 = 10.55 ≈ 10.9 (Slater groups 3s and 3p together, so 7 electrons in that group minus 1 = 6, giving 6*0.35=2.10... let me recount).

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