Mirror Symmetry of the NMR Spectrum and the Connection with the Structure of Spin Hamiltonian Matrix Representations
This paper establishes a comprehensive theoretical framework demonstrating that mirror symmetry in high-resolution NMR spectra arises from either the geometric bisymmetry of the Hamiltonian matrix or a more fundamental topological isospectrality, contingent upon the existence of a specific "palindromic" spin ordering that simultaneously balances resonance frequencies and J-coupling interactions.