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Using slater's rules, effective nuclear charge of valence electron in 27co2+

Accepted Answer

The effective nuclear charge (Zeff) for a valence electron in Co2+ can be calculated using Slater's rules. Here's how it works:
1. Electronic Configuration: The electronic configuration of Co2+ is [Ar] 3d7. The valence electron is in the 3d subshell.
2. Slater's Rules: Slater's rules assign shielding constants (S) to each electron based on its orbital type and position relative to the valence electron. The effective nuclear charge is then calculated as Zeff = Z - S, where Z is the atomic number.
3. Shielding Constants: For the 3d electron in Co2+, we need to consider the shielding from the core electrons (1s, 2s, 2p) and the other 3d electrons.

Core electrons: Each core electron contributes 0.35 to the shielding constant.

3d electrons: Each other 3d electron contributes 0.35 to the shielding constant.
4. Calculation:

Z (atomic number of cobalt) = 27

S (total shielding constant) = (18 electrons x 0.35) + (6 electrons x 0.35) = 8.4

Zeff = 27 - 8.4 = 18.6
Therefore, the effective nuclear charge for the valence electron in Co2+ is approximately 18.6.


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