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Using Slater’s Rules, the effective nuclear charge for a valence electron in CO2+ is
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To calculate the effective nuclear charge (Zeff) for a valence electron in CO2+ using Slater's Rules, we need to consider the following:
1. Electronic configuration: CO2+ has the following electronic configuration: (σ2s)2(σ
2s)2(σ2p)2(π2p)4(π
2p)1. The valence electron is in the π
2p orbital.
2. Slater's Rules: We need to determine the shielding constants (S) for the valence electron. Slater's Rules provide a set of rules to determine the shielding constant, which is used to account for the screening effect of inner electrons on the valence electron.
3. Shielding Constant: Applying Slater's Rules, we get the following shielding constant (S) for the valence electron:
For the 2s and 2p electrons: 0.85 each (since they are in the same shell)
For the 1s electrons: 0.30 each (since they are in the previous shell).
Therefore, the total shielding constant (S) = (2
0.85) + (2
0.30) = 2.30
4. Effective Nuclear Charge: The effective nuclear charge (Zeff) can be calculated using the following equation:
Zeff = Z - S
Where Z is the atomic number of the central atom (Carbon) which is 6.
Therefore, Zeff = 6 - 2.30 = 3.70
The effective nuclear charge for a valence electron in CO2+ is 3.70.
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