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Dynamic nuclear polarization
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===Overhauser effect=== DNP was first realized using the concept of the Overhauser effect, which is the perturbation of nuclear [[Spin (physics)|spin]] level populations observed in metals and free radicals when electron spin transitions are saturated by microwave irradiation. This effect relies on stochastic interactions between an electron and a nucleus. The "dynamic" initially meant to highlight the time-dependent and random interactions in this polarization transfer process. The DNP phenomenon was theoretically predicted by [[Albert Overhauser]] in 1953 <ref name="Overhauser"> {{cite journal |last =Overhauser |first = A.W. |title = Polarization of Nuclei in Metals |journal = [[Phys. Rev.]] |volume = 92 |pages = 411β415 |year = 1953 |doi = 10.1103/PhysRev.92.411 |issue = 2 |bibcode = 1953PhRv...92..411O }}</ref> and initially drew some criticism from [[Norman Ramsey]], [[Felix Bloch]], and other renowned physicists of the time on the grounds of being "thermodynamically improbable". The experimental confirmation by Carver and [[Charles Pence Slichter|Slichter]]<ref name="Slichter"> {{cite journal | last1 = Carver | first1 = T.R. | last2 = Slichter | first2 = C.P. | date = 1953 | title = Polarization of Nuclear Spins in Metals | journal = [[Phys. Rev.]] | volume = 92 | issue = 1 | pages = 212β213 | doi = 10.1103/PhysRev.92.212.2 | bibcode = 1953PhRv...92..212C }}</ref> as well as an apologetic letter from Ramsey both reached Overhauser in the same year.<ref name="ramsey">[http://www.physics.purdue.edu/about_us/history/Albert_W_Overhauser.shtml Purdue University Obituary of Albert W. Overhauser] {{webarchive|url=https://web.archive.org/web/20060109074625/http://www.physics.purdue.edu/about_us/history/Albert_W_Overhauser.shtml |date=2006-01-09 }}</ref> The so-called electron-nucleus cross-relaxation, which is responsible for the DNP phenomenon is caused by rotational and translational modulation of the electron-nucleus [[hyperfine coupling]]. The theory of this process is based essentially on the second-order time-dependent [[perturbation theory]] solution of the [[von Neumann equation]] for the spin [[density matrix]]. While the Overhauser effect relies on time-dependent electron-nuclear interactions, the remaining polarizing mechanisms rely on time-independent electron-nuclear and electron-electron interactions.
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