2.3.4 · D5Chemical Bonding

Question bank — Fajan's rules — covalent character in ionic compounds

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Recall One-screen refresher of the machinery
  • Polarisation = a cation distorting an anion's electron cloud so density piles up between the nuclei — that pile-up is covalent character.
  • Cation side: small radius (field , Coulomb's law and electric fields) and high charge → strong polarising power.
  • Anion side: large size and high negative charge → loosely held electrons → high polarisability.
  • Rule 4: a pseudo-noble-gas cation shields poorly, so its effective nuclear charge (Effective nuclear charge and shielding) pulls harder than its formal charge suggests.
  • Proxy: ionic potential — a rough ranking number, not the real field.

True or false — justify

Every "True or false" line is answered with the verdict plus the reason — a bare T/F earns nothing.

True or false: A perfectly 100% ionic bond exists in real solids.
False. Any cation exerts some field on any anion, so there is always non-zero polarisation; "ionic" is one end of a continuous scale, never a pure state.
True or false: For a cation, a smaller radius gives more covalent character.
True. The polarising field goes as from Coulomb's law and electric fields, so shrinking the cation intensifies the pull on the anion cloud.
True or false: For an anion, a smaller radius gives more covalent character.
False. Opposite role — a larger anion holds outer electrons farther from its nucleus, making them loosely held and more polarisable, so bigger anion means more covalent.
True or false: Doubling the cation charge and halving its radius affect covalency by the same factor.
False. Charge enters the field linearly () but radius enters as , so halving the radius (roughly ) outweighs doubling the charge ().
True or false: is the exact polarising field the anion feels.
False. It is only a rough proxy; the real field uses the full separation and a square, and ignores the anion entirely.
True or false: S²⁻ is more polarisable than Cl⁻ partly because of its higher charge.
True. The extra electron on a anion is held more loosely per unit nuclear charge, adding to the size effect, so sulphides tend to be more covalent than chlorides.
True or false: Cu⁺ and Na⁺, being both and similar size, polarise anions equally.
False. Rule 4 breaks the tie — Cu⁺'s core shields poorly, so its effective pull on the anion exceeds Na⁺'s, making CuCl far more covalent than NaCl.
True or false: More covalent character generally lowers a compound's melting point.
True. Covalency replaces the strong infinite ionic lattice with more discrete molecular units, so less energy is needed to melt — hence AlCl₃ sublimes while NaCl melts near 801 °C.
True or false: The yellow colour of AgI is direct proof of Fajan's polarisation lowering an excitation energy.
False. The colour arises from Charge-transfer transitions and colour / band-structure effects; polarisation only correlates with the trend, it is not the mechanism.
True or false: A more covalent metal salt tends to be less soluble in water.
True. Covalent character weakens ion–dipole hydration, so the balance in Solubility and lattice/hydration energy shifts toward the solid — sulphides and AgI are classic poorly-water-soluble examples.

Spot the error

Each line states a flawed claim; the reveal names the flaw and corrects it.

"Bigger cation overlaps the anion more, so it's more covalent."
Wrong for the cation — bigger cation means a weaker field (), hence less covalent. "Bigger = more covalent" applies only to the anion.
"Only anion size matters for polarisability; charge is irrelevant."
Charge matters too — a anion holds its electrons more loosely than a comparable anion, so O²⁻/S²⁻ are more polarisable than F⁻/Cl⁻.
"Since charge sits in the numerator of , high charge always beats small size."
The true field uses ; the squared, separation-inclusive denominator can dominate, so size is not automatically subordinate to charge.
" already accounts for the anion, so it fully predicts covalency."
contains no anion term at all — it misses anion size, anion charge (Rule 3) and cation configuration (Rule 4).
"Na⁺ and Ca²⁺ have noble-gas cores, so their covalency depends only on charge and size."
True for those two, but comparing them to Zn²⁺/Cd²⁺/Hg²⁺ (pseudo-noble-gas ) requires Rule 4 — the ions polarise more at equal charge and size.
"AlF₃ is more covalent than AlI₃ because F is the most electronegative element."
Electronegativity of the element is not the driver here; I⁻ is huge and squishy while F⁻ is tiny and tight, so AlI₃ is the more covalent one.
"Covalent character raises the boiling point because covalent bonds are strong."
The relevant comparison is lattice vs discrete molecules — molecular covalent solids have weak intermolecular forces, so covalent character lowers melting/boiling points.
"A large anion is more polarisable, therefore the cation is also easily distorted."
Polarisability is asymmetric — the big, loosely-bound anion cloud distorts; the small, tightly-held cation is the distorter, not the distorted.

Why questions

Why does field strength enter Fajan's reasoning with an rather than ?
Because the cation acts like a point charge and Coulomb's law and electric fields gives ; the inverse-square makes small changes in separation matter enormously.
Why do cations polarise more than noble-gas cations of the same size and charge?
Diffuse, non-spherical electrons shield the nucleus poorly, so the anion feels a larger effective nuclear charge than the ion's formal or suggests.
Why is metal-sulphide chemistry (dark, insoluble solids) a fingerprint of covalency?
S²⁻ is large and , so it is highly polarisable; strong polarisation gives covalent character that both darkens the solid (charge-transfer) and lowers hydration-driven solubility.
Why do chemists still use the crude if it ignores so much?
It compresses "high charge, small cation" into one comparable number for quick ranking — useful as a first pass, provided you remember it omits the anion and the dependence.
Why does polarisation increase covalent character rather than just distorting the ion in place?
The distortion drags anion electron density into the region between the two nuclei, and shared inter-nuclear density is exactly what a covalent bond is.
Why is colour only a hint, not a proof, of covalent character?
The visible absorption comes from charge-transfer / band-structure transitions in the solid; polarisation trends run parallel to it but do not by themselves set the transition energy.

Edge cases

What does Fajan's picture predict for a very large, low-charge cation like Cs⁺ with a small anion like F⁻?
Minimal polarisation — weak field (large , only ) plus a tight little anion — so CsF is about as close to ideal ionic (Ionic bonding — lattice energy) as a real salt gets.
If two candidate salts have identical but different anions, which is more covalent?
The one with the larger and/or higher-charged anion, because equal says nothing about the anion, and Rule 3 then decides via polarisability.
For an isolated gaseous cation with no anion nearby, is there any polarisation?
No — polarisation is a mutual geometric effect; with nothing to distort and no separation to define, the concept simply does not apply.
Between MgCl₂ and CaCl₂ (same anion, same charge), which is more covalent and why?
MgCl₂ — Mg²⁺ is the smaller cation, so its field is stronger, giving greater polarisation and covalent character than the larger Ca²⁺.
At the extreme limit where polarisation is so strong the shared density is symmetric, what have we reached?
A (nearly) pure covalent bond — the "ionic with covalent character" description has slid all the way to the covalent end of the continuum, i.e. maximum electron sharing.