Why are some d-electron configurations more stable? (1st row)

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The discussion explores the stability of d-electron configurations in first-row transition metals, noting that certain configurations, such as d0 in Sc, Ti, and V, contribute to a stable noble gas electron configuration. The role of high energy 4s electrons is highlighted, with configurations like d3 in Cr and d5 in Mn minimizing correlation and exchange energy. The conversation also touches on the influence of oxidation states, with Fe often oxidizing from d6 to d5, and the stability of Cu(I) in oxygen atmospheres compared to the more common d9 Cu(II). Acknowledgment is given to the complexities of d-orbital interactions and electronegativity trends, suggesting that while some patterns exist, a definitive mechanism remains elusive. Overall, the discussion emphasizes the intricate balance of energy levels and electron configurations in determining stability among transition metals.
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I've been looking at trends in 1st row transition metals and trying to understand why some d-electron configurations are more common than others for each element, and I'm unable to find an easy pattern. It seems that getting rid of the high energy 4s electrons is an obvious pattern, but the resulting number of d-electrons isn't obvious to create a rule for.

Some thoughts:
Sc, Ti, V: d0 because it gives a [Ar] electron configuration. V can easily exist in four different oxidation states, though, as seen in vanadium flow batteries.
Cr: d0, see above. Cr(VI) is however a strong oxidizer. d3, removes high energy 4s electron, and three electrons can evenly distribute in the dxy, dxz, dyz (assuming octahedral field), minimizing correlation and exchange energy,
Mn: d5 high spin evenly distributes five electrons in all five d-orbitals, minimizing correlation and exchange energy.
Fe: Both d5 and d6, but often Fe(II) compounds will be prone to oxidizing to Fe(III) over time, depending on complex, possibly because there is a pairing energy in d6 high spin not present in d5 high spin.
Co: No particular thoughts as the above arguments do not hold for d6 (except 4s electrons are removed) and d7.
Ni: d8, the two 4s electrons are removed.
Cu, Zn: Not sure. Cu(I) does not tend to be stable in an oxygen atmosphere, and for some reason the d9 Cu(II) is most often found. This is interesting as, Zn(II) is d10.

My intuition is that the overall charge of the atom also plays a role. For (an extreme) example, d0
Zn12+ does not exist despite yielding the "stable" [Ar] electron configuration. Similar, less demonstrative, examples could be made for other elements.

There is obviously an underlying (probably quantum mechanical) mechanism that I'm not seeing. But what's the logic?
 
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As far as I am aware the only sound logic behind is "the lowest energy as calculated". Everything else is just stamp collecting :wink:

Sure, you can build some intuitions looking at most common configurations, but trying to define them through a "mechanism" is most likely a waste of time.
 
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Borek said:
As far as I am aware the only sound logic behind is "the lowest energy as calculated". Everything else is just stamp collecting :wink:

Sure, you can build some intuitions looking at most common configurations, but trying to define them through a "mechanism" is most likely a waste of time.
Thought so. Perhaps it is just a tedious fact that coordination chemists must memorize these numbers.
 
Interesting question. There are some general principles at work. Namely, the d-orbitals are not good in shielding each other from the charge of the nuclei. Hence the d-shell contracts with increasing Z and the electrons become more tightly bound. Thats why Sc, Ti, V rather easily loose all their d-electrons, while Zn doesn't. Also energy gets up, when a shell gets more than half filled. As you already stressed, sub shells may be important due to the ligand field.
 
DrDu said:
Interesting question. There are some general principles at work. Namely, the d-orbitals are not good in shielding each other from the charge of the nuclei. Hence the d-shell contracts with increasing Z and the electrons become more tightly bound. Thats why Sc, Ti, V rather easily loose all their d-electrons, while Zn doesn't. Also energy gets up, when a shell gets more than half filled. As you already stressed, sub shells may be important due to the ligand field.
Electronegativity trends is absolutely an obvious factor that I missed, especially since it increases along the period, but dips slightly from Cu to Zn.
 
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