There has been much renewed interest in dynamic nuclear polarization (DNP), particularly in the context of solid state biomolecular NMR and more recently dissolution DNP techniques for liquids. This paper reviews the role of spin diffusion in polarizing nuclear spins and discusses the role of the spin diffusion barrier, before going on to discuss some recent results.
PACS numbers:Microwave irradiation of a coupled electron-nuclear spin system can facilitate a transfer of polarization from the electron to the nuclear spin. In dielectric materials dynamic nuclear polarization (DNP) typically occurs via the solid effect,thermal mixing or the cross effect 1,2,3 . In these systems the electron spins are localized and the non-equilibrium polarization of the bulk nuclei is generated via a two-stage process: a polarization exchange local to the defect; and spin transport to distribute the polarization throughout the sample. Here the DNP process is essentially the inverse of the standard T 1 relaxation mechanism in dielectric solids 4 . While much attention is paid to improving the local polarization transfer efficiency from the electron to the neighboring nuclear spins, usually by incorporating the appropriate electron spins in the sample, the ratelimiting step in efficiently polarizing bulk samples is frequently the spin transport from the defect sites to the bulk. As we attempt to use DNP to enhance nuclear magnetization in an ever-increasing number of systems, it is important to understand the many-spin dynamics that underly the process. As we improve our system model for describing DNP dynamics, we will eventually be able to incorporate recent developments in the theory and practice of optimal control of quantum systems to further improve our techniques 5,6 . The purpose of this paper is to clarify our understanding of the spin dynamics in light of recent experiments in our laboratory. The paper begins with a description of the Bloembergen model and examines the different steps of the transport processes involved in dynamic nuclear polarization, before concluding with a review of recent experimental results.In a strong magnetic field, the Hamiltonian of a nuclear spin system, doped with electron spins is given bycorresponding to the nuclear and electron Zeeman interactions, the nuclear-nuclear and electron-electron dipo- * Electronic address: sekhar@mit.edu lar interactions, the electron exchange interaction and the electron-nuclear hyperfine interaction (including both the Fermi contact and the electron-nuclear dipolar interactions). During the DNP process we could add both microwave and RF fields to irradiate the electronic and nuclear spins as needed. The challenge of dealing with this full Hamiltonian in a systematic quantum mechanical formalism underlies the gaps in our knowledge of the full DNP process. Traditionally researchers have adopted a composite quantum-classical approach in which an isolated defect spin coupled to one or two nuclear spins is treated quantum-mechanically, and a classical approach is us...