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Q.How would you account for the following?

(a) Sc+3Sc^{+3} is colourless in aqueous solution, whereas Ti+3Ti^{+3} is coloured.
(b) Atomic radii of 4d and 5d series elements are nearly same.
(c) Mn+2Mn^{+2} is more resistant than Fe+2Fe^{+2} towards oxidation.
Meghalaya MboseMBOSE Meghalaya Intermediate Board 2020Subjective· 3mImportance★★★★★
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All three effects come down to electron configuration stability: an empty vs. singly-occupied dd-subshell for colour, the lanthanide contraction for radii, and the extra stability of a half-filled 3d53d^5 configuration for oxidation resistance.

(a) Sc3+Sc^{3+} colourless, Ti3+Ti^{3+} coloured: Sc3+Sc^{3+} has the configuration [Ar]3d0[Ar]3d^0 — with no electrons in the dd-orbitals, there is no possibility of a dd–dd electronic transition (which needs at least one, but not all, dd-orbitals occupied), so Sc3+Sc^{3+} cannot absorb visible light via this mechanism and remains colourless in solution. Ti3+Ti^{3+} has configuration [Ar]3d1[Ar]3d^1 — its single dd-electron can be excited from a lower-energy dd-orbital (under the influence of surrounding ligands/water molecules) to a higher-energy dd-orbital by absorbing a specific wavelength of visible light; the complementary, unabsorbed wavelengths are transmitted, giving Ti3+Ti^{3+}(aq) its characteristic violet colour.

(b) 4d and 5d radii nearly equal: normally, atomic radius increases on descending a group, as an additional electron shell is added. However, between the 4d series (Y to Cd) and the 5d series (La/Hf to Hg) lies the entire lanthanide series (Ce to Lu), across which atomic/ionic size steadily contracts because the poorly-shielding 4f electrons let the increasing nuclear charge pull the outer electrons in progressively tighter — the lanthanide contraction. This cumulative contraction almost exactly cancels the size increase that would otherwise be expected from adding an extra shell, so elements directly below a 4d element (e.g. Zr below... rather, Hf below Zr) end up with nearly the same atomic radius as their 4d counterpart.

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