Valence shell of transition metals definition is what?

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The discussion centers on the definition of valence shells in transition metals, specifically addressing four distinct cases based on the electron configurations of the ns and (n-1)d orbitals. In Case One, when ns is half-filled and (n-1)d is less than full, the valence is determined as 1 plus the number of electrons in (n-1)d. In Case Two, with a fully filled ns and an incomplete (n-1)d, the valence equals 2 plus the number of electrons in (n-1)d. Case Three presents a fully filled ns and (n-1)d, resulting in a valence of 12. Finally, Case Four, where ns is half-filled and (n-1)d is full, indicates a valence of 10. The discussion emphasizes the complexity of valence electrons beyond basic concepts.

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TL;DR
Four cases what's valence electrons?
Case one: ns is half-filled and (n-1)d is less than full.
Is valence 1+number of electrons in (n-1)d or number of electrons in (n-1)d or 1?

Case two: ns is fully filled and (n-1)d is less than full
Is valence 2 or 2+ number of electrons in (n-1)d or number of electrons in (n-1)d?

Case three, ns is fully filled, and (n-1)d is full
is valence 12 or 2 or 10?

Case four: ns is half-filled, and (n-1)d is full.
is valence 1 or 1+10 or 10?
 
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