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A Spectrochemical Series for Electron Spin Relaxation

Nathanael P. Kazmierczak, Kay T. Xia, Erica Sutcliffe, Jonathan P. Aalto, Ryan G. Hadt

2025Journal of the American Chemical Society15 citationsDOIOpen Access PDF

Abstract

High Resolution Image Download MS PowerPoint Slide Controlling the rate of electron spin relaxation in paramagnetic molecules is essential for contemporary applications in molecular magnetism and quantum information science. However, the physical mechanisms of spin relaxation remain incompletely understood, and new spectroscopic observables play an important role in evaluating spin dynamics mechanisms and structure–property relationships. Here, we use cryogenic magnetic circular dichroism (MCD) spectroscopy and pulse electron paramagnetic resonance (EPR) in tandem to examine the impact of ligand field (d–d) excited states on spin relaxation rates. We employ a broad scope of square-planar Cu(II) compounds with varying ligand field strength, including CuS 4, CuN 4, CuN 2 O 2, and CuO 4 first coordination spheres. An unexpectedly strong correlation exists between spin relaxation rates and the average d–d excitation energy ( R 2 = 0.97). The relaxation rate trends as the inverse 11th power of the excited-state energies, whereas simplified theoretical models predict only an inverse second power dependence. These experimental results directly implicate ligand field excited states as playing a critical role in the ground-state spin relaxation mechanism. Furthermore, ligand field strength is revealed to be a particularly powerful design principle for spin dynamics, enabling formation of a spectrochemical series for spin relaxation.

Topics & Concepts

ChemistryRelaxation (psychology)Excited stateSpin (aerodynamics)Spin statesElectron paramagnetic resonanceParamagnetismMagnetismCondensed matter physicsAtomic physicsChemical physicsMolecular physicsNuclear magnetic resonancePhysicsPsychologyThermodynamicsSocial psychologyInorganic chemistryMagnetism in coordination complexesLanthanide and Transition Metal ComplexesMetal-Catalyzed Oxygenation Mechanisms