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Q.Why Zn2+Zn^{2+} is colourless whereas Mn2+Mn^{2+} is violet in colour? OR Explain why Cr2+Cr^{2+} is a good reducing agent and Mn3+Mn^{3+} is a good oxidising agent even though both ions have the same d4d^4 configuration.

Meghalaya MboseMBOSE Meghalaya Intermediate Board 2022Subjective· 2mImportance★★★★★
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Colour in transition-metal ions comes from d–d electronic transitions, which require partially filled d-orbitals; Zn2+Zn^{2+} has none available (3d103d^{10}) while Mn2+Mn^{2+} does (3d53d^5). In the alternative question, both Cr2+Cr^{2+} and Mn3+Mn^{3+} are d4d^4, but each is driven toward a more stable configuration by opposite electron-transfer directions.

Why Zn2+Zn^{2+} is colourless

Colour in transition-metal compounds typically arises from d–d transitions: an electron absorbs a photon of visible light and jumps from a lower-energy dd orbital to a higher-energy one (split by the ligand field). This is only possible if the dd subshell is partially filled — a completely empty or completely full dd subshell has no such transition available. ZnZn has the configuration [Ar]3d104s2[Ar]3d^{10}4s^2, so Zn2+Zn^{2+} is [Ar]3d10[Ar]3d^{10} — a completely filled dd subshell. With no vacant dd orbital for an electron to be promoted into, no d–d transition (and hence no visible-light absorption of this type) is possible, so Zn2+Zn^{2+} salts and solutions are colourless.

Why Mn2+Mn^{2+} is coloured

MnMn is [Ar]3d54s2[Ar]3d^54s^2, so Mn2+Mn^{2+} is [Ar]3d5[Ar]3d^5 — a partially filled (half-filled) dd subshell with unpaired electrons. This allows d–d transitions to occur, giving Mn2+Mn^{2+} compounds colour. (In practice, because the 3d53d^5 configuration is high-spin and any transition must flip an electron's spin, these transitions are spin-forbidden, so they are unusually weak — Mn2+Mn^{2+}(aq) is characteristically only a very pale pink rather than an intensely coloured ion — but the underlying principle asked here, that a partially filled dd subshell permits colour while a filled one does not, is exactly why Mn2+Mn^{2+} shows colour and Zn2+Zn^{2+} shows none.)

Alternative (Or): Cr2+Cr^{2+} as reductant vs Mn3+Mn^{3+} as oxidant, both d4d^4

Both ions have d4d^4 configurations, but electron loss from Cr2+Cr^{2+} reaches the extra-stable half-filled t2g3t_{2g}^3 level of Cr3+Cr^{3+}, while electron gain by Mn3+Mn^{3+} reaches the extra-stable half-filled d5d^5 of Mn2+Mn^{2+} — so Cr2+Cr^{2+} is pushed to lose an electron (reducing agent) and Mn3+Mn^{3+} to gain one (oxidising agent).

Cr2+Cr^{2+} is [Ar]3d4[Ar]3d^4 and Mn3+Mn^{3+} is also [Ar]3d4[Ar]3d^4 — same electron count, but their redox behaviour is opposite:

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