Global aromaticity at the nanoscale
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Abstract
Aromaticity can be defined by the ability of a molecule to sustain a ring current when placed in a magnetic field. Hückel's rule states that molecular rings with [4n + 2] π-electrons are aromatic, with an induced magnetization that opposes the external field inside the ring, whereas those with 4n π-electrons are antiaromatic, with the opposite magnetization. This rule reliably predicts the behaviour of small molecules, typically with fewer than 22 π-electrons (n = 5). It is not clear whether aromaticity has a size limit, or whether Hückel's rule extends to much larger macrocycles. Here, we present evidence for global aromaticity in porphyrin nanorings with circuits of up to 162 π-electrons (n = 40); aromaticity is controlled by changing the constitution, oxidation state and conformation. Whenever a ring current is observed, its direction is correctly predicted by Hückel's rule. The largest ring currents occur when the porphyrin units have fractional oxidation states.
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The 1H and 19F NMR spectra of cP6·T6F Q+ in oxidation states Q = 0, 2, 4 and 6 provide strong evidence for global diatropic and paratropic ring currents.
“The 1 H and 19 F NMR spectra of cP6·T6F Q + in oxidation states Q = 0, 2, 4 and 6 (Figure 3) provides strong evidence for global diatropic and paratropic ring currents. 1,2”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The Results and discussion section reports that ¹H NMR spectra of six-porphyrin complexes in the 2+, 4+ and 6+ states reveal aromatic and antiaromatic ring currents. It does not report the claimed ¹H and ¹⁹F evidence for cP6·T6F across all four listed states: its ¹⁹F example is a 12-porphyrin complex, and it says global ring currents are not observed in neutral rings. Page numbers were not provided in our copy. (LLM, conf=0.88)
Experimental — accuracy not yet measuredThe NICS plots for cP6 Q+ (Q=0,2,4,6) calculated using LC-ωhPBE (ω=0.1) reproduce the shielding effects observed in the NMR spectra.
“These plots reproduce the shielding effects observed in the NMR spectra (Figure 3).”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The Results and discussion report that NICS calculations using LC-ωhPBE (ω = 0.1) gave the best agreement with observed NMR shifts for six-porphyrin nanorings in the 2+, 4+, and 6+ states (page not available). The reported comparison covers those three oxidation states, not the neutral Q=0 state included in the claim. (LLM, conf=0.87)
Experimental — accuracy not yet measuredIn the 2+ oxidation state (Q=2), cP6·T6F 2+ exhibits a global diatropic ring current.
“Q = 2, cP6·T6F 2+ (82 π; aromatic): The 1 H NMR spectrum is broad, but the 19 F resonance is shielded compared with unbound T6F , indicating a global diatropic ring current. The presence of a diatropic ring current is supported by the splitting between THSin and THSout, which were unambiguously assigned through observation of heteronuclear NOEs from THSin to the CF3 group.”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The Results and discussion section reports an aromatic ring current for a six-porphyrin nanoring in the 2+ state, supporting the general direction of the claimed current. It identifies that complex as c-P6[b6]·T6, however, not cP6·T6F; the section’s fluorine-NMR evidence concerns a twelve-porphyrin complex. Our copy therefore does not establish the claim for the specified T6F complex. (LLM, conf=0.81)
Experimental — accuracy not yet measuredIn the 6+ oxidation state (Q=6), cP6·T6F 6+ exhibits a global diatropic ring current.
“Q = 6, cP6·T6F 6+ (78 π; aromatic): The 1 H NMR spectrum of the hexacation exhibits smaller shifts than the other oxidation states, but the oin/oout and THSin/THSout splittings indicate a global diatropic ring current, as confirmed by the 19 F NMR signal.”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The Results and discussion section reports an aromatic ring current for c-P6[b6]·T6 in the 6+ oxidation state, supporting the claimed direction of the current for a six-porphyrin nanoring. Our copy does not identify that complex as cP6·T6F or report a 19F NMR confirmation for its hexacation; its 19F NMR discussion concerns a 12-porphyrin complex. (LLM, conf=0.78)
Experimental — accuracy not yet measuredIn the 4+ oxidation state (Q=4), cP6·T6F 4+ exhibits a large global paratropic ring current.
“Q = 4, cP6·T6F 4+ (80 π; antiaromatic): The , and template signals at 17-25 ppm indicate a large global paratropic ring current. This is confirmed by the wide splitting between THSin and THSout and by the shift of the 19 F NMR signal.”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The Results and discussion (page not provided) report an antiaromatic ring current for the 4+ state of c-P6[b6]·T6, whose stated neutral count of 84 π electrons implies 80 π electrons at 4+. The copy does not establish the same result for the specifically named T6F-templated complex or report its cited 19F NMR shift. (LLM, conf=0.86)
Experimental — accuracy not yet measured
The direction of the ring current in cP6·T6F Q+ can be switched between aromatic and anti-aromatic by changing the number of π-electrons by oxidation.
“The spectra in Figure 3 show that the direction of the ring current can be switched between aromatic and anti-aromatic by changing the number of π-electrons ( Q = 2) by oxidation.”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The Results and discussion section reports that oxidation changes six-porphyrin nanorings between aromatic and antiaromatic ring currents, supporting the general claim. It does not identify a cP6·T6F complex: the six-porphyrin complexes it names use T6 or T6*, and its Figure 3 discussion concerns an eight-porphyrin complex. (LLM, conf=0.83)
Experimental — accuracy not yet measuredThe NICS plot for cP6 4+ has a low symmetry (C2 rather than D6h) reflecting the distortion expected in an antiaromatic ring.
“The NICS plot for cP6 4+ has a low symmetry ( C 2 rather than D 6h) reflecting the distortion expected in an antiaromatic ring (analogous to the D 2h geometry of cyclobutadiene). 51”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The Results and discussion (page unavailable) identify the 4+ states of two six-porphyrin nanorings as antiaromatic and report NICS calculations for these species. Our copy does not state that a c-P6 4+ NICS plot has C2 rather than D6h symmetry, or that such a distortion reflects antiaromaticity. (LLM, conf=0.82)
Experimental — accuracy not yet measuredIn the neutral state (Q=0), cP6·T6F has no global ring current.
“Q = 0, cP6·T6F (84 π; non-aromatic): In the neutral state, each individual porphyrin has a normal aromatic ring current, as attested by the shielded and protons of the template, but there is no global ring current; the ortho -aryl protons oin and oout are almost coincident, as are the external and internal trihexylsilyl signals (THSin and THSout).”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
Cyclic porphyrin oligomers (cPN) exhibit global ring currents after oxidation, reduction or optical excitation, but not in the neutral ground state.
“The largest aromatic rings yet investigated are cyclic porphyrin oligomers, which exhibit global ring currents after oxidation, reduction or optical excitation, but not in the neutral ground state.”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The ring currents in porphyrin nanorings are well reproduced by density functional theory (DFT), although the choice of DFT functional often turns out to be critical.
“The ring currents in these systems are well reproduced by density functional theory (DFT), although the choice of DFT functional often turns out to be critical.”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
LC-ωhPBE (ω = 0.1) generally gives NICS values that are consistent with experimental NMR shifts.
“We found that LC-ωhPBE (ω = 0.1) generally gives NICS values that are consistent with experimental NMR shifts. 2,4,36”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
The largest macrocycle yet tested for redox-promoted global aromaticity is cP12.
“The largest macrocycle yet to have been tested for redox-promoted global aromaticity is cP12 . 2”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
No global ring current is detected in cP12·(T6F)2 Q+ in any oxidation state.
“In keeping with this simple picture, no global ring current is detected in cP12·(T6F)2 Q + in any oxidation state. 2”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
cP12·(T6eF)2 exhibits global diatropic ring currents in the 6+ and 10+ oxidation states and a global paratropic current in the 8+ oxidation state, in agreement with Hückel's rule.
“1 H, 13 C and 19 F NMR spectroscopy reveal global diatropic ring currents in the 6+ and 10+ oxidation states and a global paratropic current in the 8+ oxidation states, in agreement with Hückel's rule; cP12·(T6eF)2 Q + : Q = 6, 162 π aromatic; Q = 8: 160 π antiaromatic; Q = 10: 158 π aromatic.”
From From Macrocycles to Quantum Rings: Does Aromaticity Have a Size Limit? (2021) · cites this paper as [2]
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References 38 · Cited by 175
- Authors
- Rickhaus, M., Jirasek, M., Tejerina, L., Gotfredsen, H., Peeks, M. D., Haver, R., Jiang, H.-W., Claridge, T. D. W., & Anderson, H. L.
- Affiliations
- University of Zurich (CH)
- University of Oxford (GB)
- UNSW Sydney (AU)
- Corresponding author
- Anderson, Harry L.
- ORCID
- Venue
- Nature Chemistry
- Published
- 2020-01-20
- Volume
- 12
- Issue
- 3
- Pages
- 236-241
- ISSN
- 1755-4330 (ISSN-L)
- 1755-4349
- PMC
- PMC7049293
- OpenAlex
- W3002414675
- Cited by
- 175
- References
- 38
- Citations by year
- 2026: 7 · 2025: 17 · 2024: 22 · 2023: 25 · 2022: 28 · 2021: 48 · 2020: 26 · 2019: 2
- FWCI
- 12.31
- Type
- journal article
- Language
- en
- Open access
- green
- doi.org
- Licence
- Locations
- Nature Chemistry (publishedVersion)
- ChemRxiv (acceptedVersion, cc-by-nc-nd)
- PubMed (publishedVersion)
- PubMed Central (acceptedVersion)
- UNSWorks (University of New South Wales, Sydney, Australia) (submittedVersion, cc-by-nc-nd)
- Royal College of Surgeons in Ireland (submittedVersion, cc-by-nc-nd)
- Funders
- National Science Foundation
- National Computational Infrastructure
- Australian Government
- University of Oxford (EP/N017188/1)
- European Commission (320969, HORIZON2020, 643238)
- Swansea University
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (174294)
- Engineering and Physical Sciences Research Council (EP/N017188/1, EP/M016110/1, EP/R029229/1, EP/M016110, N017188/1)
- National Cancer Institute
- FP7 Ideas: European Research Council (320969)
- Topics
- Physical Sciences › Chemistry › Organic Chemistry › Synthesis and Properties of Aromatic Compounds
- Physical Sciences › Materials Science › Materials Chemistry › Porphyrin and Phthalocyanine Chemistry
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Magnetism in coordination complexes
- Keywords
- global aromaticity, ring current, porphyrin nanorings, macrocycles, π-electron count, conformational control, template synthesis, antiaromaticity
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