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Using slater rules, the effective nuclear charge for the valence electron in 27 protons of Co2+?
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The effective nuclear charge (Zeff) for the valence electron in Co2+ (27 protons) can be calculated using Slater's rules. Here's how it works:
1. Electron Configuration: The electronic configuration of Co2+ is [Ar] 3d7. The valence electron is in the 3d orbital.
2. Slater's Rules: According to Slater's rules, the shielding constant (S) for a 3d electron is calculated as follows:
Electrons in the same shell: Each electron in the same shell (3d) contributes 0.35 to S (except for the electron itself). Since there are 6 other 3d electrons, their contribution is 6
0.35 = 2.10
Electrons in the inner shell (n-1): Each electron in the 3p and 3s orbitals contributes 0.85 to S. There are 8 electrons in these orbitals, so their contribution is 8
0.85 = 6.80
Electrons in the inner shells (n-2 and below): These electrons contribute 1.00 to S. The 18 electrons in the [Ar] core contribute 18
1.00 = 18.00
3. Total Shielding Constant (S): The total shielding constant is 2.10 + 6.80 + 18.00 = 26.90
4. Effective Nuclear Charge (Zeff): Zeff = Z - S, where Z is the atomic number. Therefore, Zeff = 27 - 26.90 = 0.10
Therefore, the effective nuclear charge experienced by the valence electron in Co2+ is approximately 0.10. This means that the valence electron is only weakly attracted to the nucleus, due to the significant shielding from the inner electrons.
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