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Using slater rules what is the effective nuclear charge for a valence electron in 27co^2+

Accepted Answer

The effective nuclear charge (Zeff) for a valence electron in Co²⁺ can be calculated using Slater's rules. Here's how:
1. Electron Configuration: Co²⁺ has an electron configuration of [Ar] 3d⁷. The valence electrons are in the 3d orbitals.
2. Slater's Rules:

Electrons in the same group (n) contribute 0.35 to the shielding constant (S) except for the 1s electrons, which contribute 0.30.

Electrons in the (n-1) group contribute 0.85 to S.

Electrons in the (n-2) or lower groups contribute 1.00 to S.
3. Calculation:

For the 3d electrons in Co²⁺: S = (7 x 0.35) + (18 x 1.00) = 20.45

Zeff = Z - S = 27 - 20.45 = 6.55
Therefore, the effective nuclear charge experienced by a valence electron in Co²⁺ is approximately 6.55.


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