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The D-And-f-Block Elements

Question
CBSEENCH12007085

The +3 oxidation states of lanthanum (Z = 57), gadolinium (Z = 64) and lutetium (Z = 71) are especially stable. Why?

Solution
The electronic configuration of Lanthanum(57) 5d16s2 4f0 Lutetium (71)4f14 5d1 6s2 and Godolinium(64) 4f7 5d1 6s2 . Hence they have empty, completely and  half filled filled 4f subshell thus there +3 oxidation state is stable.