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Why do gadolinium (Gd, Z = 64) and lutet...

Why do gadolinium (Gd, Z = 64) and lutetium (Lu, Z = 91) have very high stability in their + 3 oxidation state ?

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`Gd([Xe]4f^(7)5d^(1)6s^(2))overset(-3e)rarr Gd^(3+)([Xe]4f^(7)5d^(0)6s^(0))`
`Lu([Xe]4f^(14)5d^(1)6s^(2))overset(-3e)rarr Lu^(3+)([Xe]4f^(14)5d^(0)6s^(0))`
`Gd^(3+)` and `Lu^(3+)` are highly stable because they have half - filled and completely filled f - subshell respectively in their ante - pentultimate shell.
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