Fajans' RulesJEE Main

When ionic bonds go covalent — interactive Chemistry simulation for IIT-JEE.

Concept

No bond is purely ionic. A small, highly charged cation pulls the electron cloud of a large, squishy anion toward itself — the bond gains covalent character. Fajans' rules: covalency grows with cation charge, shrinking cation size, and growing anion size/charge. That's why AgI is yellow-ish and insoluble while NaF is a textbook ionic salt.

Key formula

covalency  with polarizing power q+r+2×polarizability (qr3)\text{covalency} \uparrow \; \text{with polarizing power } \frac{q_+}{r_+^2} \times \text{polarizability } (q_-\,r_-^3)

Derivation

The cation's electric field at the anion's surface scales as q/r². The anion's cloud distorts in proportion to its volume (r³) and looseness (charge).

Distorted cloud = shared density between the nuclei = partial covalent bond. Pseudo-noble-gas cations (Cu⁺, Ag⁺, Zn²⁺ — 18-electron shells) polarize extra strongly for their size.

Scenarios to explore

  • Fajans' Rules — Polarization turns ionic bonds covalent — AgI vs NaF.

Real-world applications

  • Solubility ladder AgF > AgCl > AgBr > AgI (rising covalency).
  • Melting points: NaCl 801 °C vs AlCl₃ 192 °C (covalent network vs molecular).
  • Colour deepening: AgCl white → AgI yellow (charge-transfer eased by polarization).

JEE exam tips

  • LiCl covalent enough for alcohol solubility; NaCl isn't — classic contrast.
  • BeCl₂: Be²⁺ tiny + 2 charge → largely covalent, bridged polymer solid.
  • Ionic character order for AlX₃: F > Cl > Br > I — bigger halide, more covalent.

Common mistakes

  • Ranking by charge alone — SIZE matters as much (Li⁺ beats Na⁺).
  • Forgetting 18-electron cations (Ag⁺, Cu⁺) out-polarize same-size noble-gas cations.
  • Confusing polarizing POWER (cation's) with POLARIZABILITY (anion's).

Exam traps to avoid

  • More covalent character usually means LOWER melting point (molecular lattice) — the counter-intuitive one.
  • Fajans complements electronegativity: use Δχ for element pairs, Fajans for ion pairs.