By Mark E. Limes
This thesis describes longitudinal nuclear rest measurements of stable 129Xe close to seventy seven okay with formerly unimaginable reproducibility, and demonstrates variations in rest, established upon the way the cast is condensed. those effects are without delay acceptable to the new release and garage of enormous amounts of hyperpolarized 129Xe for varied purposes, equivalent to lung magnetic resonance imaging (MRI). The thesis encompasses a subtle theoretical method of those info units, together with transformations to a well-established Raman-phonon scattering idea which may clarify the bigger scatter in and discrepancies with past work.
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Additional resources for 129 Xe Relaxation and Rabi Oscillations
The early results proved to be fairly volatile, with pure theory never exactly describing the data. Trends, such as similar temperature dependence, suggest that the quadrupolar-relaxation mechanism mediated by the Raman-scattering of phonons accounts for 131 Xe experimental data. Certain experimental results, such as the chemical shift data, remain unexplained at the end of the first wave of papers. In this brief history, it is seen exactly how reproducibility and theoretical determination is a significant problem when concerning solid xenon.
Hunt and Carr use an experimental value for σav in Torrey’s theory (instead of Torrey’s theoretical σav ) and calculate a longitudinal relaxation time that is slightly greater than twice the experimental value for liquid xenon. Meanwhile, Yen and Norberg, at Washington University of St. Louis, observe a temperature-dependent chemical shift for solid 129 Xe presented in the first published work that contains solid xenon NMR data . Specifically, they report self-diffusion coefficients, resonance shifts, and transverse (spin-spin, T2 ) relaxation times for a range of pressures (saturated vapor pressures to 20 atm) and temperatures (4–227 K) for naturally abundant xenon in liquid and solid phases.
For pairs in a set m , the result of the angular integrals in Eq. 54) Jm (u) = 1+j0 (uσm φD )−2j0 (uφD ). √ Here, φD = kD R0 = (6π 2 2)1/3 can be related to the phase advance over the nearestneighbor distance R0 for a phonon with Debye wave number kD . 55) where a 3 defines the volume of any cubic cell . In addition to the sum over nearest-neighbor atoms and phonon states, as well as the integrals over phononic energy and phonon wave-vector direction, an averaging over crystal orientation and averaging over phonon occupation numbers in thermal equilibrium are applied to Eq.