Chemistry
Big confusion.... Is this Compound Aromatic?
Step-by-step chemistry solution: Big confusion.... Is this Compound Aromatic?
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1. What the problem is asking (in plain language)
A student has drawn a six‑membered heterocycle that contains oxygen, carbon, boron and nitrogen
O
/ \
C C
║ ║
C C
\ /
B
|
N
The question is:
“Is this ring aromatic or not? If the nitrogen donates its lone‑pair to the empty p‑orbital on boron (a B←N dative bond), does that destroy the cyclic π‑electron system, or does it still provide the required 6 π‑electrons for aromaticity?”
In other words we must decide, using Hückel’s rule and the criteria for aromaticity, whether the molecule can sustain a delocalised, cyclic π‑electron cloud.
2. Step‑by‑step solution
2.1 Recall the three essential criteria for aromaticity
| Criterion | What it means for the molecule |
|---|---|
| Cyclic | The π‑system must be part of a closed loop. |
| Planar (or near‑planar) | All atoms that contribute a p‑orbital must be able to lie in the same plane so that p‑orbitals overlap. |
| Fully conjugated | Every atom in the ring must have a p‑orbital (or an empty p‑orbital that can accept electron density). |
| Hückel rule | The total number of π‑electrons in the conjugated circuit must be 4n + 2 (n = 0, 1, 2,…). |
If all four are satisfied → aromatic; if any fails → non‑aromatic (or anti‑aromatic if 4n electrons).
2.2 Draw the Lewis structure and identify the p‑orbitals
- Oxygen atoms are each double‑bonded to a carbon. Each C=O double bond contributes one π‑bond (2 π‑electrons).
- Carbons that are part of the C=O bonds are sp²‑hybridised, so each carbon contributes a p‑orbital to the π‑system.
- Boron is trivalent and, in this ring, is sp²‑hybridised with an empty p‑orbital.
- Nitrogen is attached to boron. Its lone pair can occupy the empty p‑orbital on boron, giving a dative B←N bond. In this resonance form the B–N bond has π‑character (a pair of electrons in the p‑orbital overlap).
A convenient resonance picture is:
O O
// \\
C C
\\ //
C----C
\ /
B←N
The arrows indicate that the nitrogen lone pair is donated into the empty boron p‑orbital, creating a B=N double‑bond resonance form.
Thus the atoms that provide p‑orbitals are:
- The four carbon atoms (each sp²)
- Boron (empty p)
- Nitrogen (its lone pair placed in the p‑orbital of B)
All six atoms lie in the same ring → the system is cyclic and planar (no steric constraints prevent planarity).
2.3 Count the π‑electrons in the conjugated circuit
| Source | π‑electrons contributed |
|---|---|
| Two C=O double bonds | 2 π electrons × 2 = 4 π e⁻ |
| B←N dative (B=N) bond | 2 π electrons |
| Total | 6 π electrons |
Why the B←N bond counts: The nitrogen donates its lone pair into the empty p‑orbital of boron, forming a π‑bond (just like a C=C double bond). Those two electrons are now part of the delocalised ring and must be counted.
2.4 Apply Hückel’s rule
(4n+2 = 6 \;\Rightarrow\; n = 1).
The ring contains exactly 6 π‑electrons, satisfying the Hückel rule.
2.5 Verify the other aromaticity criteria
| Criterion | Satisfied? | Reason |
|---|---|---|
| Cyclic | Yes | The π‑system runs around the six‑membered ring. |
| Planar | Yes | All atoms are sp² (or sp²‑like) → the ring can adopt a planar geometry. |
| Fully conjugated | Yes | Every atom in the ring possesses a p‑orbital (or an empty one that is filled by donation). |
| 4n + 2 π‑electrons | Yes | 6 π‑e⁻ = 4(1)+2. |
All criteria are met → the compound is aromatic.
3. Final answer
The given heterocycle is aromatic.
The nitrogen’s lone pair, instead of removing electrons from the π‑system, donates into the empty p‑orbital of boron, creating a B=N π‑bond that contributes two π‑electrons. Together with the two C=O π‑bonds (four electrons) the ring possesses six π‑electrons, fulfilling Hückel’s 4n + 2 rule while remaining cyclic, planar and fully conjugated.
4. Common mistakes for this type of problem
| Mistake | Why it’s wrong | How to avoid it |
|---|---|---|
| Counting only the C=O π‑bonds (4 e⁻) and ignoring the B←N interaction | The nitrogen lone pair does become part of the conjugated circuit as a B=N π‑bond. | Draw resonance structures that show the dative B←N bond; count those two electrons. |
| Assuming the N lone pair stays in an sp² orbital and is not involved | In a B←N dative bond the lone pair occupies the p‑orbital on B, giving π‑character. | Explicitly place the lone pair in the p‑orbital when drawing the resonance form. |
| Thinking the empty boron p‑orbital “breaks” conjugation | An empty p‑orbital actually accepts electron density and participates fully in delocalisation. | Remember that a vacant p‑orbital is a valid participant in a conjugated system (e.g., in carbocations, boranes). |
| Neglecting planarity | If the ring were puckered, overlap would be poor and aromaticity would be lost. | Verify that all atoms can be sp²‑hybridised; draw the molecule in a flat hexagonal sketch. |
| Applying the 4n rule incorrectly | 6 π‑electrons are not “4n” (n=1 gives 4, n=2 gives 8). | Plug the electron count into (4n+2); if you obtain an integer n, the rule is satisfied. |
Keeping these points in mind will help you correctly evaluate aromaticity for heterocycles that contain elements like boron and nitrogen.
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