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arXiv · 2510.25551

On the Connection of High-Resolution NMR Spectrum Mirror Symmetry With Spin System Properties

Dmitry A. Cheshkov·Dmitry O. Sinitsyn
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Abstract

A correlation between the symmetry of NMR spectra, including higher-order spectra, and the properties of the spin system has been established. It is shown that for a spectrum to be symmetric about the mid-resonance frequency ({\nu}0), two conditions must be satisfied: the resonant frequencies of the spins must be symmetrically positioned about {\nu}0, and the J coupling matrix must be symmetric about the secondary diagonal. The results were validated by calculating theoretical spectra for 4-, 5-, and 6-spin systems.

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Dmitry A. Cheshkov, Dmitry O. Sinitsyn. 2025-10-29. On the Connection of High-Resolution NMR Spectrum Mirror Symmetry With Spin System Properties. https://doi.org/10.5194/mr-7-15-2026

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