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Give me slaters rule in an example for a transition metal
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Slater's rules are used to calculate the effective nuclear charge (Zeff) experienced by an electron in a polyelectronic atom. Zeff is the net positive charge experienced by an electron, taking into account the shielding effect of other electrons. Here's an example for a transition metal, Iron (Fe):
Electronic configuration of Fe: 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d⁶
Let's calculate the Zeff for a 3d electron in Fe:
1. Identify the electron in question: We are interested in a 3d electron.
2. Group the electrons into shielding groups:
Group 1 (n-1): 1s², 2s², 2p⁶, 3s², 3p⁶ contribute fully (0.35 each)
Group 2 (n): 4s² contribute 0.35 each.
Group 3 (n): 3d electrons (excluding the one we are considering) contribute 0.35 each.
3. Calculate the shielding constant (S):
S = (0.35 x 8) + (0.35 x 2) + (0.35 x 5) = 5.25
4. Calculate Zeff:
Zeff = Z - S = 26 - 5.25 = 20.75
Therefore, the effective nuclear charge experienced by a 3d electron in Iron is approximately 20.75. This means that the 3d electron in Iron feels a positive charge that is about 20.75 times the charge of a proton.
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