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Using Slater's Rules, the effective nuclear charge for a valence electron in 27co2+ is: 6.90 23.10 20.10 3.90
Accepted Answer
To calculate the effective nuclear charge (Zeff) for a valence electron in Co2+ using Slater's Rules, we follow these steps:
1. Electronic Configuration: Co2+ has an electronic configuration of [Ar]3d7. The valence electron is in the 3d orbital.
2. Slater's Rules:
Electrons in the same group (n) contribute 0.35 each (except the one we are considering).
Electrons in the (n-1) group contribute 0.85 each.
Electrons in lower groups contribute 1.00 each.
3. Calculation:
There are 6 other 3d electrons, each contributing 0.35: 6
0.35 = 2.10
There are 18 electrons in the n-1 group (3s and 3p), contributing 0.85 each: 18
0.85 = 15.30
There are 10 electrons in the lower groups (1s, 2s, and 2p), contributing 1.00 each: 10
1.00 = 10.00
4. Zeff:
Zeff = Z - S, where Z is the atomic number of Cobalt (27) and S is the shielding constant calculated above.
Zeff = 27 - (2.10 + 15.30 + 10.00) = -0.40
However, a negative Zeff is not physically possible. This indicates that there might be an error in the calculation or an incorrect understanding of Slater's Rules. Therefore, none of the given options are correct.
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