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d & f Block Elements formula sheet

Every formula in the d & f Block Elements chapter for JEE Main, with one line on when it applies. Topic 1 is open to everyone; sign in free to read all 27 and download the PDF.

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How we count: 7× asked means 7 past JEE Main questions in the PrepWiser bank needed that formula, and "last" is the latest year one appeared. ★ marks formulas asked 8 or more times.

Transition elements and physical trends

d-block
3× asked, last 2024
(n−1)d1−10ns1−23d: Sc to Zn (21–30),4d: Y to Cd (39–48)5d: La, Hf to Hg (57, 72–80)\begin{aligned}&(n-1)d^{1-10}ns^{1-2}\\&\text{3d: Sc to Zn }(21\text{–}30),\quad \text{4d: Y to Cd }(39\text{–}48)\\&\text{5d: La, Hf to Hg }(57,\ 72\text{–}80)\end{aligned}
Transition: partly filled d in the atom or an ion. Zn, Cd, Hg are not (d10d^{10} throughout); Cu is (CuX2+\ce{Cu^{2+}} 3d93d^9).
Cr and Cu exceptions
3× asked, last 2025
Cr 3d54s1,Cu 3d104s1\text{Cr }3d^54s^1,\qquad \text{Cu }3d^{10}4s^1
Others are 3dn4s23d^n4s^2. Ions lose 4s first: FeX2+\ce{Fe^{2+}} is 3d63d^6. Atomic Cr has 6 unpaired electrons.
Enthalpy of atomisation (kJ mol⁻¹)
7× asked, last 2025
ScTiVCrMn326473515397281FeCoNiCuZn416425430339126\begin{array}{ccccc}\text{Sc}&\text{Ti}&\text{V}&\text{Cr}&\text{Mn}\\ 326&473&515&397&281\\[4pt] \text{Fe}&\text{Co}&\text{Ni}&\text{Cu}&\text{Zn}\\ 416&425&430&339&126\end{array}
More unpaired d + s electrons, stronger metallic bonding: V peak, Mn dip (d5d^5), Zn lowest; Hg is a liquid.
Radius and density
1× asked, last 2024
r falls early, then levels offρ: Sc 3.4→Cu 8.9 g cm−3\begin{aligned}&r\text{ falls early, then levels off}\\&\rho:\ \text{Sc }3.4\to\text{Cu }8.9\ \text{g cm}^{-3}\end{aligned}
Sc 164, Cr 129, Fe 126, Ni 125, Cu 128, Zn 137 pm: d electrons shield poorly but repel.

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23 more formulas in 5 topics

Ionisation enthalpy, oxidation states and E°; Magnetism, colour, catalysis and alloys; Oxides and chromium(VI) compounds; Potassium permanganate; and Lanthanoids and actinoids. Read the first part free. Sign in free with Google to read the rest and download the PDF.

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Ionisation enthalpy, oxidation states and E°

  • Ionisation enthalpies5×
  • Oxidation states7×
  • Higher states11×
  • E°(M²⁺/M) in V8×
  • E°(M³⁺/M²⁺) in V9×

Magnetism, colour, catalysis and alloys

  • Spin-only magnetic moment29×
  • Colours of aqua ions13×
  • Catalysts3×
  • Alloys3×

Oxides and chromium(VI) compounds

  • Oxides14×
  • K₂Cr₂O₇ from chromite4×
  • Chromate ⇌ dichromate8×
  • Dichromate as oxidant7×
  • Chromyl chloride and CrO₅5×

Potassium permanganate

  • KMnO₄ from MnO₂9×
  • Manganate and permanganate9×
  • KMnO₄: the medium decides11×
  • Oxalate titration

Lanthanoids and actinoids

  • Lanthanoid configurations8×
  • Lanthanoid oxidation states15×
  • Lanthanoid contraction
  • Colour and magnetism7×
  • Actinoids8×

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Practise d & f Block Elements

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