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Hyperpolarized Nuclei for NMR Imaging and Spectroscopy - Lunds ...

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tion rates at room temperature have been derived <strong>for</strong> 3 He (Newbury et al.<br />

1993) <strong>and</strong> 129 Xe (Hunt <strong>and</strong> Carr 1963, Torrey 1963):<br />

14<br />

T<br />

T<br />

1<br />

1,<br />

dipolar<br />

1<br />

1,<br />

dipolar<br />

p -1<br />

= h<br />

809<br />

3<br />

( He)<br />

p -1<br />

= h<br />

61<br />

129<br />

( Xe)<br />

[14]<br />

where p is the gas pressure [bar]. Dipolar relaxation in gas is thus insignificant<br />

except at very high pressures, where it imposes a fundamental limit on<br />

attainable storage times.<br />

In addition to the mentioned relaxation mechanisms, a new relaxation<br />

mechanism <strong>for</strong> 129 Xe, caused by spin-rotation coupling in bound Xe–Xe van<br />

der Waals molecules, has recently been identified (Chann et al. 2002). The<br />

relaxation time of this mechanism is constant under most circumstances: †<br />

1<br />

T1, vdW<br />

024 .<br />

= h -1 . [15]<br />

All the relaxation mechanisms add together to a total relaxation time according<br />

to<br />

1 1<br />

= ∑ T T<br />

1, total X 1,<br />

X<br />

where “X” denotes surface relaxation, oxygen-induced relaxation, etc.<br />

2.4.2 T 1 relaxation of 13 C <strong>and</strong> 129 Xe in liquids<br />

[16]<br />

The major T 1 relaxation mechanism <strong>for</strong> 13 C in diamagnetic molecules is dipole-dipole<br />

interaction with protons (Harris 1983, S<strong>and</strong>ers <strong>and</strong> Hunter<br />

1987). The relaxation rate depends on the distance between the 13 C <strong>and</strong> 1 H<br />

atoms, r, the respective gyromagnetic ratios, γ, <strong>and</strong> the correlation time τ c<br />

(the inverse of the tumbling rate of the relevant part of the molecule), according<br />

to<br />

†<br />

The relaxation time increases at extremely high field strengths (tens of teslas) <strong>and</strong> at very<br />

low pressures.

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