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Chemistry · Ch 10 — Chemical Bonding

Resonance

10.5.5

Resonance

Sometimes, applying the five-step Lewis-structure recipe honestly to a single molecule still yields MORE THAN ONE equally valid structure -- not because one is wrong, but because the true electronic structure cannot be captured by any single dot-and-line diagram. The carbonate ion, CO₃²⁻, is the textbook example.

Working through CO₃²⁻. Label the three oxygens O(A), O(B) and O(C) for reference. Total valence electrons = [1×4 (C)] + [3×6 (O)] + [2 (the ion's own 2− charge)] = 4 + 18 + 2 = 24. Distributing these electrons by the usual method, and then moving one lone pair from O(A) to complete carbon's octet, gives a structure with one C=O(A) double bond and two C-O single bonds (to O(B) and O(C)), with the 2− charge marked on the ion overall (Fig 10.14(a)).

But this choice of O(A) to carry the double bond was arbitrary -- two further, EQUALLY VALID Lewis structures can be drawn simply by moving the double bond to O(B) or to O(C) instead. All three structures have the atoms in exactly the same relative positions; they differ only in WHICH bonding and lone pairs sit where (Fig 10.14(b)). Such structures -- identical in atomic arrangement, differing only in electron placement -- are called resonance structures (or canonical structures), and the phenomenon itself is called resonance.

The resonance hybrid. Experimentally, all three carbon-oxygen bonds in the carbonate ion are found to be EQUIVALENT (same bond length, intermediate between a C-O single and a C=O double bond). The actual structure of CO₃²⁻ is therefore said to be a resonance hybrid -- an average of the three resonance/canonical forms, NOT an actual physical oscillation between them (the ion does not flip from one structure to another and back; it exists, at all times, as the single hybrid). No single Lewis structure can be drawn for this hybrid, but a composite picture -- partial (fractional) bonds to all three oxygens, each carrying a fractional −2/3 charge -- gives a reasonable qualitative sense of it (Fig 10.14(c)). …

Figure 10.14(a)Lewis Structure of CO3²⁻

What this figure shows. The carbonate ion's skeletal structure with its three oxygens individually labelled OA, OB and OC around a central carbon; after distributing the 24 valence electrons and moving a lone pair from OA to complete carbon's octet, one C=OA double bond and two C-O single bonds (to OB and OC) result, with the overall 2− charge …

Figure 10.14(b)Resonance structures of CO3²⁻

What this figure shows. Three side-by-side Lewis structures of carbonate (numbered 1, 2, 3), identical in the relative position of the atoms but differing in which of the three oxygens (OA, OB or OC) carries the C=O double bond -- the three resonance/canonical structu …

Figure 10.14(c)Resonance Hybrid structure of CO3²⁻

What this figure shows. A single composite structure (labelled structure 4, the resonance hybrid) showing the central carbon bonded to all three oxygens by equivalent, partial (dashed/solid combination) bonds, each oxygen carrying a fractional −2/3 charge, giving a qualitative picture of the true, delocalised bonding that no single canonical struct …