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This study analytically describes Nuclear Magnetic Resonance (NMR) hyperpolarization via the three-spin cross effect (CE) dynamic nuclear polarization (DNP). It explains diverse CE manifestations using a novel Floquet theory approach and experimental electron spin polarization observations.

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Area of Science:

  • Magnetic Resonance
  • Quantum Mechanics
  • Spectroscopy

Background:

  • Dynamic Nuclear Polarization (DNP) enhances Nuclear Magnetic Resonance (NMR) sensitivity.
  • The three-spin cross effect (CE) is a key mechanism in DNP.
  • Understanding CE-DNP requires advanced theoretical frameworks.

Purpose of the Study:

  • To analytically describe NMR hyperpolarization via three-spin cross effect (CE) dynamic nuclear polarization (DNP).
  • To apply bimodal operator-based Floquet theory to derive the CE-DNP interaction Hamiltonian.
  • To explain diverse CE manifestations based on a unified theoretical understanding and experimental observations.

Main Methods:

  • Application of the effective Hamiltonian concept.
  • First-time use of bimodal operator-based Floquet theory in the Zeeman-interaction frame for two and three coupled spins.
  • Analysis of electron spin polarization under experimental conditions.

Main Results:

  • Derivation of the known interaction Hamiltonian for CE-DNP.
  • Unified theoretical understanding of CE-DNP.
  • Explanation of phenomena including oversaturation, enhanced hyperpolarization by broad-band saturation, and nuclear spin depolarization.

Conclusions:

  • The study provides a comprehensive analytical description of CE-DNP.
  • Floquet theory offers a powerful tool for understanding complex DNP mechanisms.
  • This work unifies diverse experimental observations of CE-DNP under a single theoretical framework.