Articles | Volume 7, issue 1
https://doi.org/10.5194/mr-7-15-2026
https://doi.org/10.5194/mr-7-15-2026
Educational article
 | 
11 Mar 2026
Educational article |  | 11 Mar 2026

The origin of mirror symmetry in high-resolution nuclear magnetic resonance spectra

Dmitry A. Cheshkov and Dmitry O. Sinitsyn

Cited articles

Cheshkov, D. A. and Sinitsyn, D. O.: Total lineshape analysis of high-resolution NMR spectra, in: Annual Reports on NMR Spectroscopy, edited by: Webb, G. A., Academic Press, 100, 61–96, https://doi.org/10.1016/bs.arnmr.2019.11.001, 2020. 
Cheshkov, D. A., Sheberstov, K. F., Sinitsyn, D. O., and Chertkov, V. A.: ANATOLIA: Program for total lineshape analysis of NMR spectra, Github [code], https://github.com/dcheshkov/ANATOLIA (last access: 21 February 2026), 2017. 
Cheshkov, D. A. and Sinitsyn, D. O.: Mirror Symmetry of the NMR Spectrum and the Connection with the Structure of Spin Hamiltonian Matrix Representations, arXiv [preprint], https://doi.org/10.48550/arXiv.2602.03871, 2026. 
Cheshkov, D. A., Sheberstov, K. F., Sinitsyn, D. O., and Chertkov, V. A.: ANATOLIA: NMR software for spectral analysis of total lineshape, Magn. Reson. Chem., 56, 449–457, https://doi.org/10.1002/mrc.4689, 2018. 
Corio, P. L.: Structure of High-Resolution NMR spectra, Academic Press, ISBN 978-0124142831, 1966. 
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Short summary
This research reveals the hidden rules that connect the perfect mirror-image shape of a high-resolution nuclear magnetic resonance spectrum to the properties of a molecule's nuclear spin system. We found that this symmetry occurs only when specific, balanced conditions are met within the spin system. Testing these rules on various theoretical models confirmed their universal nature, providing a new framework for interpreting molecular symmetry from spectral patterns.
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