Complex Formation

8 MCQs9-step worked example
Source: NCERT The d and f Block ElementsPYQ coverage: NEET 2021, 2022, 2023, 2024, 2025Official key: NTA-verifiedLast reviewed: May 2026

Lesson

Transition metals form coordination compounds far more readily than s-block or p-block elements. This tendency — complex formation — is the reason you see deeply coloured solutions, catalytic cycles, and biologically critical metalloenzymes throughout d-block chemistry.

Why d-block? Three properties converge: (1) small ionic radii with high charge density, (2) vacant or partially filled d-orbitals available to accept lone pairs from ligands, and (3) variable oxidation states that let the same metal accommodate different ligand sets. NCERT Class 12 Chemistry Chapter 4 (page 18) explicitly notes that the tendency to form complexes is a general characteristic of transition elements, arising from their small size, high ionic charge, and availability of d-orbitals for bond formation.

Charge density argument. A high charge-to-radius ratio polarises incoming ligands strongly, stabilising the metal–ligand bond. Compare: Na⁺ (large, +1) forms few stable complexes; Fe³⁺ (small, +3) forms hundreds.

d-orbital availability. Ligand lone pairs donate into empty or half-filled d-orbitals (σ-donation) and in some cases accept electron density back (π-back-bonding in carbonyls). Main-group ions lack accessible, energetically suitable empty orbitals of comparable energy, so their complex formation is limited.

Variable oxidation states matter. Because different oxidation states change the number of available d-orbitals and the effective nuclear charge, the same metal can stabilise both hard (F⁻, OH⁻) and soft (CN⁻, CO) ligands depending on its oxidation state.

Watch-out for NEET: Questions often ask why a specific d-block element forms more complexes than its s/p-block neighbour, or why higher oxidation states favour complex formation. The answer always routes back to charge density + orbital availability — not merely "has d-electrons."

Practice MCQs

Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.

MCQ 1Easy RecallPractice

Which of the following is NOT a reason for the high tendency of transition metals to form coordination compounds?

MCQ 2Easy RecallPractice

Among the following ions, which would have the greatest tendency to form stable coordination complexes?

MCQ 3Direct ApplicationPractice

The complex formation tendency of transition metals is attributed to their high charge density. Which factor directly increases the charge density of a cation?

MCQ 4Easy RecallPractice

Why do main-group elements like Na and Mg form far fewer complexes than transition elements like Fe and Co?

MCQ 5Direct ApplicationPractice

Consider two ions: Cr³⁺ (ionic radius 62 pm) and Cr²⁺ (ionic radius 73 pm). Which forms more stable complexes with a given set of ligands, and why?

MCQ 6Direct ApplicationPractice

Which statement correctly explains why Fe³⁺ forms a greater variety of complexes than Fe²⁺?

MCQ 7Concept TrapPractice

Zn²⁺ has a completely filled d-orbital (d¹⁰ configuration). Despite this, it forms complexes like [Zn(NH₃)₄]²⁺. Which factor primarily enables Zn²⁺ to form complexes?

MCQ 8Direct ApplicationPractice

Among Ti²⁺ (d²), V²⁺ (d³), Fe²⁺ (d⁶), and Cu²⁺ (d⁹), which ion has the maximum number of vacant d-orbitals available for accepting ligand electrons?

Worked Example

  1. 1

    Given

    Consider Co³⁺ and Co²⁺. Co³⁺ ionic radius = 55 pm, Co²⁺ ionic radius = 65 pm. Both have partially filled d-orbitals.

  2. 2

    Required

    Determine which ion has the greater tendency to form stable complexes, and by what factor the charge densities differ (approximating ions as spheres).

  3. 3

    Concept

    Complex formation tendency correlates with charge density (charge/volume). Higher charge density → stronger polarisation of ligand electron clouds → more stable metal–ligand bonds.

  4. 4

    Formula

    Charge density ∝ Z/r³ (for spherical ions, where Z = ionic charge, r = ionic radius). Ratio = (Z₁/r₁³) ÷ (Z₂/r₂³)

  5. 5

    Substitution

    For Co³⁺: Z = 3, r = 55 pm For Co²⁺: Z = 2, r = 65 pm Ratio (Co³⁺ / Co²⁺) = (3/55³) ÷ (2/65³)

  6. 6

    Calculation

    55³ = 166,375 65³ = 274,625 Co³⁺ charge density ∝ 3/166,375 = 1.803 × 10⁻⁵ Co²⁺ charge density ∝ 2/274,625 = 7.284 × 10⁻⁶ Ratio = 1.803 × 10⁻⁵ / 7.284 × 10⁻⁶ = 2.47 Note: The ionic radii (55, 65 pm) and charges (3, 2) are exact given values in this problem — they do not limit significant figures. The ratio is reported to 3 significant figures.

  7. 7

    Final answer

    Co³⁺ has approximately 2.5 times the charge density of Co²⁺, and therefore a significantly greater tendency to form stable coordination complexes.

  8. 8

    Common trap

    Students sometimes compare only the charges (3 vs 2 → 1.5× difference) and forget that the radius difference contributes cubically. The actual advantage is ~2.5×, not 1.5×.

  9. 9

    Similar NEET-style question

    "Arrange Fe²⁺, Fe³⁺, and Na⁺ in decreasing order of tendency to form complexes. Justify using charge density and orbital availability."

Before solving, remember these

Small size + high charge density + empty d-orbitals → strong coordination tendency. Form coordinate bonds with ligands via lone pairs. Ligand types: monodentate, bidentate, polydentate.

-- NCERT Class 12 Chemistry, Ch. 4, p. 18

Formulas

Spin-only magnetic moment

Magnetic moment from n unpaired electrons. 1 unpaired: 1.73 BM; 5: 5.92 BM.

SymbolQuantitySI Unit
nunpaired electrons-
mumagnetic momentBohr magneton

Valid when

  • Spin-only contribution (no orbital contribution)
  • Octahedral or tetrahedral complex

Spin-only magnetic moment for transition metal

Predicts paramagnetic moment of d-block ion. n unpaired electrons in d-orbitals.

SymbolQuantitySI Unit
nunpaired electrons-
mumagnetic momentBM

Valid when

  • Spin-only contribution
  • Octahedral or tetrahedral complex
  • First-row d-block

Common oxidation states (first-row TM)

Catalogues common stable oxidation states across first-row transition metals.

SymbolQuantitySI Unit
OSoxidation state-

Valid when

  • First-row d-block
  • Common (not exotic) compounds

Exam Traps & Common Mistakes

These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.

Category: Inorganic Exception

Student assumes Mn²⁺ is the product regardless of medium. Acidic: → Mn²⁺ (5e⁻). Neutral/weakly basic: → MnO₂ (3e⁻). Strongly basic: → MnO₄²⁻ (1e⁻).

When it triggers

Question gives KMnO4 oxidation in unspecified or specific medium.

How to avoid

Always check medium. In acidic: Mn(+7) → Mn(+2). In neutral: → Mn(+4) (MnO₂). In basic: → Mn(+6) (manganate). The number of electrons (n) in Nernst calculations depends accordingly.

Past Year Questions

10 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.

NEET 2025

The correct order of decreasing basic strength of the given amines is:

1benzenamine > ethanamine > N-methylaniline > N-ethylethanamine
2N-methylaniline > benzenamine > ethanamine > N-ethylethanamine
3N-ethylethanamine > ethanamine > benzenamine > N-methylaniline
4N-ethylethanamine > ethanamine > N-methylaniline > benzenamine
NTA Answer: Option 4(final)
NEET 2023

Which one of the following statements is correct?

1All enzymes that utilise ATP in phosphate transfer require Ca as the cofactor
2The bone in human body is an inert and unchanging substance
3Mg plays roles in neuromuscular function and interneuronal transmission
4The daily requirement of Mg and Ca in the human body is estimated to be 0.2-0.3 g
NTA Answer: Option 4(final)
NEET 2023

Which of the following statements are INCORRECT? A. All the transition metals except scandium form MO oxides which are ionic. B. The highest oxidation number corresponding to the group number in transition metal oxides is attained in Sc O to Mn O . 2 3 2 7 C. Basic character increases from V O to V O to V O . 2 3 2 4 2 5 D. V 2 O 4 dissolves in acids to give VO3 4 –salts. E. CrO is basic but Cr O is amphoteric. 2 3 Choose the correct answer from the options given below:

1B and D only
2C and D only
3B and C only
4A and E only
NTA Answer: Option 2(final)

How NEET usually asks this

Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.

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