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Effective Nuclear Charge
Z* = Z – Z = nuclear charge = atomic number = shielding = electron-electron repulsions H He Li
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Slater's Rules for Effective Nuclear Charge: Calculating
1. Electrons of greater principle quantum number contribute 0. 2. If the electron being screened is an s or p electron, other electrons with the same principle quantum contribute 0.35 electrons with principle quantum number n-1 contribute 0.85 electrons with principle quantum numbers less than n-1 contribute 1.00 3. If the electron being screened is a d or an f electron, d or f electrons with the same value of n contribute 0.35, and other electrons with the same or lower value of n contribute 1.00.
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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 = = 4.80
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B C N O F
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Why does Z* increase moving across a period?
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Li Na K Compare with ionization energy: Li: 520 kJ/mol Na: 496 kJ/mol K: 419 kJ/mol
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B C N Compare with ionization energy: B: 801 kJ/mol C: 1086 kJ/mol N: 1402 kJ/mol
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Z*, Atomic Size and Pi Bonding
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