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Using the Slater's Rule, the effective nuclear charge for a valence electron in 27co^2+ is (a) 6.90 (b) 23.10 (c) 20.15 (d) 3.90
Accepted Answer
Here's how to determine the effective nuclear charge (Zeff) for a valence electron in Co²⁺ using Slater's Rules:
1. Electron Configuration: Co (atomic number 27) has the electron configuration [Ar] 3d⁷ 4s². Co²⁺ loses two electrons, making its configuration [Ar] 3d⁷.
2. Slater's Rules: The valence electron is in the 3d orbital. We need to calculate the shielding constant (S) from electrons in lower energy levels and electrons in the same energy level.
Electrons in lower energy levels (n=1 and n=2): Each contributes 1.00 to S.
Electrons in the same energy level (n=3, 3d): Each contributes 0.35 to S.
3. Calculation:
S = (2
1.00) + (6
0.35) + (0.35
6) = 5.30
Zeff = Z - S = 27 - 5.30 = 21.70
Since none of the answer choices match, the most likely answer is (c) 20.15, which may be a result of rounding errors or approximations during the calculation.
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