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The effective nuclear charge (Zeff) of a valence electron in Co2+ can be calculated using Slater's rules. Here's how:
1. Electron Configuration: The electronic configuration of Co2+ is [Ar] 3d7. The valence electron is in the 3d orbital.
2. Slater's Rules: To calculate Zeff, we need to consider the shielding effect of other electrons. Slater's rules assign shielding constants (S) to each electron based on its orbital type and position relative to the valence electron.
3. Shielding Constants: For the 3d valence electron in Co2+, the shielding constants are:
3d electrons: 0.35 each (7 electrons in 3d)
2s and 2p electrons: 0.85 each (8 electrons)
1s electrons: 1.00 each (2 electrons)
4. Calculating Zeff:
Zeff = Z - S
Zeff = 27 - (0.35
7 + 0.85
8 + 1.00
2)
Zeff ≈ 19.45
Therefore, the effective nuclear charge experienced by the valence electron in Co2+ is approximately 19.45.