Evaluation of Triplet Aromaticity by the Indene–Isoindene Isomerization Stabilization Energy Method
Open accessAbstract
Aromaticity, one of the most important concepts in chemistry, has attracted considerable interest from both experimentalists and theoreticians. According to Baird's rule, triplet annulenes with 4 n π electrons are aromatic. However, the approach to evaluate the magnitude of the triplet aromaticity is less developed. Herein we apply the indene–isoindene isomerization stabilization energy (ISE) method to evaluate the aromaticity in the triplet state. The reliability of this approach can be demonstrated by the strong correlation of these indene–isoindene ISE values with nucleus‐independent chemical shifts [NICS(1)zz] as well as methyl–methylene ISE values. Large [4 n]annulenes have the tendency to be planar to achieve aromaticity in the T 1 state. Steric effects play an important role in the stabilities of large [4 n]annulene isomers.
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Later theoretical studies supported Baird's rule for both carbocycles and heterocycles.
“Later theoretical studies supported the proposal, now known as Baird's rule, for both carbocycles and heterocycles.”
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Cites
Nucleus-Independent Chemical Shifts (NICS) as an Aromaticity Criterion
Chen, Z., Wannere, C. S., Corminboeuf, C., Puchta, R., & Schleyer, P. V. R. (2005) · Chemical Reviews · doi:10.1021/cr030088+ · Cited by 3,847 · see citing works
Which NICS Aromaticity Index for Planar π Rings Is Best?
Fallah-Bagher-Shaidaei, H., Wannere, C. S., Corminboeuf, C., Puchta, R., & Schleyer, P. V. R. (2006) · Organic Letters · doi:10.1021/ol0529546 · Cited by 1,257 · see citing works
Baird, N. C. (1972) · Journal of the American Chemical Society · doi:10.1021/ja00769a025 · Cited by 680 · see citing works
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Sorted by citations
Rosenberg, M., Dahlstrand, C., Kilså, K., & Ottosson, H. (2014) · Chemical Reviews · doi:10.1021/cr300471v · Cited by 505 · see citing works
Sung, Y. M., Yoon, M., Lim, J. M., Rath, H., Naoda, K., Osuka, A., & Kim, D. (2015) · Nature Chemistry · doi:10.1038/nchem.2233 · Cited by 188 · see citing works
Sung, Y. M., Oh, J., Cha, W., Kim, W., Lim, J. M., Yoon, M., & Kim, D. (2016) · Chemical Reviews · doi:10.1021/acs.chemrev.6b00313 · Cited by 185 · see citing works
Zhu, C., Yang, Y., Luo, M., Yang, C., Wu, J., Chen, L., Liu, G., Wen, T., Zhu, J., & Xia, H. (2015) · Angewandte Chemie International Edition · doi:10.1002/anie.201501349 · Cited by 124 · see citing works
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Papadakis, R., & Ottosson, H. (2015) · Chemical Society Reviews · doi:10.1039/c5cs00057b · Cited by 164 · see citing works
Triplet State Aromaticity: NICS Criterion, Hyperconjugation, and Charge Effects
Sun, H., An, K., & Zhu, J. (2015) · Chemistry - An Asian Journal · doi:10.1002/asia.201500897 · Cited by 75 · see citing works
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Shen, T., Chen, D., Lin, L., & Zhu, J. (2019) · Journal of the American Chemical Society · doi:10.1021/jacs.8b11564 · Cited by 84 · see citing works
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Wang, X., Zhu, C., Xia, H., & Zhu, J. (2014) · Organometallics · doi:10.1021/om500170w · Cited by 39 · see citing works
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Zhou, X., Wu, J., Hao, Y., Zhu, C., Zhuo, Q., Xia, H., & Zhu, J. (2017) · Chemistry - A European Journal · doi:10.1002/chem.201703870 · Cited by 44 · see citing works
Self-citationLiu, L., Zhu, J., & Zhao, Y.-F. (2014) · Chemical Communications · doi:10.1039/c4cc04610b · Cited by 31 · see citing works
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Self-citationWu, J., Hao, Y.-L., An, K., & Zhu, J. (2016) · Chemical Communications · doi:10.1039/c5cc08291a · Cited by 17 · see citing works
Self-citationAntiaromatic characteristic analysis of 1,4-diazapentalene derivatives: a theoretical study.
Zheng, J., Zhuang, X.-H., Qiu, L., Xie, Y., Wan, X.-B., & Lan, Z. (2015) · Journal of Physical Chemistry A · doi:10.1021/acs.jpca.5b00163 · Cited by 16 · see citing works
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Wu, J.-J., & Zhu, J. (2015) · ChemPhysChem · doi:10.1002/cphc.201500811 · Cited by 15
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Self-citationWang, X., Huang, Y.-H., An, K., Fan, J., & Zhu, J. (2014) · Journal of Organometallic Chemistry · doi:10.1016/j.jorganchem.2014.08.018 · Cited by 12 · see citing works
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Wu, J.-J., Hao, Y.-L., & Zhu, J. (2016) · Scientific Reports · doi:10.1038/srep28543 · Cited by 8
Self-citationZeng, J., Zhao, Y., Xu, F., & Zhu, J. (2021) · Physical Chemistry, Chemical Physics - PCCP · doi:10.1039/d0cp06388f · Cited by 7 · see citing works
Self-citationSadlej‐Sosnowska, N. (2017) · Structural Chemistry · doi:10.1007/s11224-017-0995-y · Cited by 8 · see citing works
“instance, annulenes [36] or cationic fulvene [31, 32]).”
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Mauksch, M., & Tsogoeva, S. B. (2017) · Physical Chemistry Chemical Physics · doi:10.1039/c6cp08563f · Cited by 10 · see citing works
The Silacyclobutene Ring: An Indicator of Triplet State Baird-Aromaticity
Ayub, R., Jorner, K., & Ottosson, H. (2017) · Inorganics · doi:10.3390/inorganics5040091 · Cited by 5 · see citing works
Computational Probing of Schleyer's Hyperconjugative Aromaticity in a Novel Designed Anion Acceptor
Rasul, L., Rouhani, M., & Mirjafary, Z. (2025) · Journal of Computational Chemistry · doi:10.1002/jcc.70084 · Cited by 4
Direct energetic evaluation of aromaticity by cleaving the rings of cyclic compounds
An, K., & Zhu, J. (2018) · Journal of Organometallic Chemistry · doi:10.1016/j.jorganchem.2018.01.038 · Cited by 4 · see citing works
Self-citationBaird aromaticity in excited states and open-shell ground states
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Excited State Aromaticity Unveiled by Electron Localization Function Topology
Echeverri, A., Leyva‐Parra, L., Santos, J. C., Gómez, T., Tiznado, W., & Cárdenas, C. (2025) · ChemPhysChem · doi:10.1002/cphc.202500335 · Cited by 1 · see citing works
Wu, J.-J., Lin, L., & Zhu, J. (2021) · Journal of Organometallic Chemistry · doi:10.1016/j.jorganchem.2021.121866 · Cited by 1
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Saha, P. K., Bardsley, C. A., Miranda‐Salinas, H. G., Crane, D., Ayub, R., Monkman, A. P., & McGonigal, P. R. (2026) · Angewandte Chemie International Edition · doi:10.1002/anie.6799620
Xing, J., Tan, Y., & Zhu, J. (2024) · Inorganic Chemistry · doi:10.1021/acs.inorgchem.4c01118 · Cited by 2 · see citing works
Self-citationBorosky, G. L., & Laali, K. K. (2023) · ChemistrySelect · doi:10.1002/slct.202303274
Nguyen, M. T., Trang, N. V., Dung, T. N., & Nguyen, H. M. T. (2020) · Elsevier eBooks · doi:10.1016/b978-0-12-409547-2.14913-3 · Cited by 3 · see citing works
- Authors
- An, K., & Zhu, J.
- Affiliations
- Xiamen University (CN)
- Venue
- European Journal of Organic Chemistry
- Publisher
- Wiley
- Published
- 2014-03-05
- Volume
- 2014
- Issue
- 13
- Pages
- 2764-2769
- ISSN
- 1099-0690 (ISSN-L)
- 1434-193X
- OpenAlex
- W1527615751
- Cited by
- 57
- References
- 50
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 1 · 2023: 4 · 2022: 1 · 2021: 7 · 2020: 2 · 2019: 4 · 2018: 3 · 2017: 5 · 2016: 5 · 2015: 11 · 2014: 6
- FWCI
- 3.96
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- European Journal of Organic Chemistry (publishedVersion)
- Funders
- National Natural Science Foundation of China (21133007, 21103142, 21172184, NCET-13)
- Program for New Century Excellent Talents in University (NCET-13, NCET-13-0511)
- National Key Research and Development Program of China (2011CB808504, NCET-13)
- Program for Changjiang Scholars and Innovative Research Team in University
- Topics
- Physical Sciences › Chemistry › Organic Chemistry › Synthesis and Properties of Aromatic Compounds
- Physical Sciences › Chemistry › Organic Chemistry › Cyclization and Aryne Chemistry
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Chemical Reactions and Mechanisms
- Keywords
- Baird's rule, nucleus-independent chemical shift, steric effects, planarity
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