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CBSE Class 12 d-Block — Colour, Magnetism and Catalysis

By Aniket Bhardwaj · 6 September 2026 · CBSE / ICSE

Three questions from the d-block chapter come back again and again: why transition metal compounds are coloured, how to calculate a magnetic moment, and why these metals are such good catalysts. All three have the same root cause — a partly filled d subshell. Understand that one idea properly and the chapter becomes short.

The magnetic-moment question is the most reliably scoring of the three because it is pure calculation. We will do it with full arithmetic below.

First, what counts as a transition element

A transition element is one that has an incompletely filled d subshell either in its ground state or in one of its common oxidation states. That definition is worth quoting exactly, because it decides the standard follow-up question.

Zinc, cadmium and mercury are in the d block but are not typical transition elements: their configuration is d¹⁰ as the atom and d¹⁰ as the common M²⁺ ion, so there is no partly filled d subshell anywhere in their ordinary chemistry. That single fact explains why their compounds are white or colourless and diamagnetic.

One configuration rule you must apply automatically: when a transition metal forms a cation, the 4s electrons leave before the 3d electrons. Iron is [Ar]3d⁶4s², so Fe²⁺ is [Ar]3d⁶ (not 3d⁴4s²) and Fe³⁺ is [Ar]3d⁵.

Magnetism — the spin-only formula

A substance with unpaired electrons is attracted into a magnetic field and is paramagnetic. With every electron paired it is weakly repelled and is diamagnetic. For 3d ions the magnetic moment is estimated from the number of unpaired electrons alone:

μ = √( n (n + 2) )   Bohr magneton (BM)

μ = spin-only magnetic moment  ·  n = number of unpaired electrons

Learn the five values rather than recomputing a square root every time. Here they are, with the arithmetic done:

nn(n + 2)μ = √(n(n+2))Example iond-configuration
00 × 2 = 00 BM (diamagnetic)Sc³⁺, Zn²⁺d⁰, d¹⁰
11 × 3 = 3√3 = 1.73 BMTi³⁺, Cu²⁺d¹, d⁹
22 × 4 = 8√8 = 2.83 BMV³⁺, Ni²⁺d², d⁸
33 × 5 = 15√15 = 3.87 BMCr³⁺, Co²⁺d³, d⁷
44 × 6 = 24√24 = 4.90 BMFe²⁺d⁶ (high spin)
55 × 7 = 35√35 = 5.92 BMMn²⁺, Fe³⁺d⁵ (high spin)

Notice that the moment rises to a maximum at d⁵ and then falls again, because after d⁵ the electrons must start pairing up.

Worked example 1 — Fe²⁺ and Fe³⁺

Iron is Z = 26, configuration [Ar]3d⁶4s².

Fe²⁺: remove the two 4s electrons → [Ar]3d⁶. In five d orbitals, six electrons fill singly first (5 orbitals, 5 electrons) and the sixth must pair up. So one orbital is paired and four hold single electrons → n = 4.
μ = √(4 × 6) = √24 = 4.90 BM

Fe³⁺: remove two 4s and one 3d → [Ar]3d⁵. Five orbitals, five electrons, all unpaired → n = 5.
μ = √(5 × 7) = √35 = 5.92 BM

Fe³⁺ is more paramagnetic than Fe²⁺. The half-filled d⁵ shell is also the reason Fe³⁺ is the more stable of the two in aqueous solution.

Worked example 2 — working backwards from a measured value

Question: A divalent metal ion of the first transition series has a magnetic moment of 3.87 BM. Identify the ion.

Set √(n(n + 2)) = 3.87, so n(n + 2) = 3.87² = 14.98 ≈ 15.
Solve n² + 2n − 15 = 0 → (n + 5)(n − 3) = 0 → n = 3 (n cannot be negative).

A divalent ion M²⁺ with three unpaired electrons is d³. Cobalt is Z = 27, [Ar]3d⁷4s², so Co²⁺ is d⁷ — that gives 3 unpaired too. Checking the series: V²⁺ is d³ (n = 3) and Co²⁺ is d⁷ (n = 3). Both fit 3.87 BM, so a complete answer names the configuration (d³ or high-spin d⁷) and says which ion the question's other data supports.

This is why examiners like the reverse question: it forces you to write the configuration, not just a number.

Worked example 3 — the diamagnetic cases

Sc³⁺: scandium is [Ar]3d¹4s². Removing three electrons empties both, giving [Ar] = d⁰. n = 0, so μ = √(0 × 2) = 0 BM.

Zn²⁺: zinc is [Ar]3d¹⁰4s². Removing the 4s pair gives [Ar]3d¹⁰ — every orbital full. n = 0, μ = 0 BM.

Both are diamagnetic and colourless, and for the same reason: no partly filled d subshell.

Colour — and the exception that catches everyone

In a complex, the five d orbitals are no longer at the same energy: the ligands split them into two sets separated by a small energy gap. Visible light supplies exactly the right amount of energy to promote an electron across that gap — a d–d transition. The colour you see is the complement of the colour absorbed.

Colour needs a partly filled d subshell (d¹ to d⁹).
d⁰ and d¹⁰ ions have no d–d transition available → colourless.
Iond-configurationColour in aqueous solution
Sc³⁺d⁰Colourless
Ti³⁺Purple
V³⁺Green
Cr³⁺Violet
Mn²⁺d⁵Light pink
Fe²⁺d⁶Green
Co²⁺d⁷Pink
Ni²⁺d⁸Green
Cu²⁺d⁹Blue
Zn²⁺d¹⁰Colourless

Now the exception. In MnO₄⁻ (permanganate, deep purple) manganese is in the +7 state and in Cr₂O₇²⁻ (dichromate, orange) chromium is +6 — both are d⁰. By the rule above they should be colourless, yet they are among the most intensely coloured ions in the lab. Their colour comes from a charge-transfer transition: an electron jumps from an oxygen-based orbital to a metal-based orbital. It is not a d–d transition. Charge transfer is also why these colours are so much more intense than, say, the pale pink of Mn²⁺.

Catalysis — why d-block metals are so good at it

Three properties combine:

CatalystProcess
Finely divided ironHaber process — synthesis of ammonia
V₂O₅Contact process — SO₂ to SO₃
NickelHydrogenation of oils and alkenes
MnO₂Decomposition of KClO₃ on heating
TiCl₄ with an aluminium alkylZiegler–Natta polymerisation

Remember the limit of what a catalyst does: it lowers the activation energy and speeds up both the forward and backward reactions equally. It never shifts the position of equilibrium and never changes ΔG for the reaction.

Mistakes that cost marks

  • Putting the total number of d electrons into the formula. Only unpaired electrons count. Ni²⁺ is d⁸ but n = 2, giving 2.83 BM, not √80.
  • Removing 3d before 4s when making a cation. The 4s electrons always go first. Fe²⁺ is 3d⁶, never 3d⁴4s².
  • Saying every d-block compound is coloured. Sc³⁺ (d⁰), Ti⁴⁺ (d⁰) and Zn²⁺ (d¹⁰) compounds are colourless.
  • Explaining MnO₄⁻ colour as a d–d transition. It is d⁰ — the colour is charge transfer. This is a favourite one-mark question.
  • Forgetting the units. Magnetic moment is quoted in Bohr magneton (BM). A number without BM can lose the mark.
  • Treating the spin-only value as exact. It ignores the orbital contribution to the moment. It works well for first-row (3d) ions, which is why Class 12 uses it, but agreement is poorer for 4d and 5d metals and for lanthanides, where the orbital contribution matters.
  • Assuming high spin always. The counts above are high-spin values, which is what NCERT uses for aqua ions. Strong-field ligands such as CN⁻ force pairing and reduce n — for example, [Fe(CN)₆]³⁻ has one unpaired electron, not five.

Where this appears in your exam

Question typeWhat is being tested
"Calculate the spin-only magnetic moment of …"Configuration of the ion, then n, then the formula
"μ = 5.92 BM. Identify the ion."Working the formula backwards
"Why is Zn²⁺ colourless while Cu²⁺ is blue?"d¹⁰ versus d⁹ and the d–d transition
"Why is MnO₄⁻ coloured though Mn is d⁰?"Charge-transfer transition
"Why are transition metals good catalysts?"Variable oxidation states plus intermediates and adsorption
"Why is Zn not a typical transition element?"The exact definition of a transition element

These are dependable, self-contained questions — but confirm the current syllabus and any chapter changes from the official CBSE notification and the latest NCERT textbook.

Get the configuration right and the rest follows. The Interactive Periodic Table gives you every element's electron configuration, atomic number, group and block in one click — so you can check whether an ion really is d⁵ before you trust your value of n.

Open the Interactive Periodic Table →

Struggling to connect configuration, colour and magnetism into one picture? ABC Chemistry runs Class 11–12 chemistry coaching from its Gurugram centre and online classes across India — details at abcchemistry.in. Families in Delhi, Noida or Gurgaon who prefer one-to-one teaching at home can also arrange home tuition.