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Using slater's rules, calculate the effective nuclear charge of a valence electron in Co2+
Accepted Answer
The effective nuclear charge (Zeff) for a valence electron in Co2+ can be calculated using Slater's rules. Here's how:
1. Electronic configuration of Co2+: [Ar] 3d7
2. Identify the valence electron: The valence electron is in the 3d orbital.
3. Apply Slater's rules:
- Electrons in the same group (n) as the valence electron contribute 0.35 each (except for the valence electron itself).
- Electrons in the (n-1) shell contribute 0.85 each.
- Electrons in shells with n Therefore, for the 3d electron in Co2+:
- Contribution from 3d electrons: 6 x 0.35 = 2.10
- Contribution from 2s and 2p electrons (n-1): 8 x 0.85 = 6.80
- Contribution from inner shell electrons: 18 x 1.00 = 18.00
Zeff = Z - (shielding constant)
Zeff = 27 - (2.10 + 6.80 + 18.00) = 0.10
Therefore, the effective nuclear charge for a valence electron in Co2+ is approximately 0.10.
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