Variable valency explanation and cause

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Transition elements, such as iron (Fe), exhibit variable oxidation states primarily due to their ability to lose different numbers of electrons from both their outermost s and d orbitals. This behavior is not strictly governed by the octet rule, which is more applicable to main group elements, particularly those in the second row of the periodic table. The underlying principle for variable valency is energy stability; configurations with lower energy are favored, leading to multiple stable oxidation states. Elements like nitrogen, although not classified as transition metals, also display variable valency due to similar energy considerations. The electronic configurations of these elements may not strictly follow the Aufbau principle, as the electrons involved in reactions can vary based on energy levels and stability. The octet rule serves as a general guideline but is an oversimplification; computational chemistry provides a more accurate understanding of electron shell configurations and their energies.
adi1998
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many transition elements have variable oxidation state like Fe.what is the exact cause for this?they may not obey the octet rule,but what is the reason behind this?Also,elements like nitrogen are not transition elements and still show variable valency.what will be the electronic configuration of such elements?is it always according to aufbau principle?then which electrons will take part in the reaction,like in Fe---1s1,2s2,2p6,3s2,3p6,4s2,3d7
 
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Octet rule is obeyed mostly by 2nd row elements, and even then not always, so don't treat it as a starting point. The real force behind is the energy - the lower the energy, the more stable the configuration. Sometimes energy is particularly low for some configurations and these are the only ones we observe, but more often there are several configurations, each with their own energy minimum (not much different from others), and all are observed.
 
octet rule is a very crude approximation for main group elements. for a quantitative reason why electron shells are what they are, you need computational chemistry.
 
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