Hyperpolarized NMR in Single-File Nanotubes
C.R. Bowers, C.-Y. Cheng, T.C. Stamatatos and G. Christou
Department of Chemistry, University of Florida, Gainesville, Florida 32611 USA
Abstract. Continuous-flow hyperpolarized xenon-129 NMR is used to characterize gas exchange and diffusion in two
types of polycrystalline solids with one-dimensional channels. Expressions for the hyperpolarized NMR selective-
saturation recovery signal are derived for normal and single-file diffusion.
Keywords: Hyperpolarization, single-file diffusion, nanotubes, tracer exchange, xenon-129
PACS: 82.56.Lz, 82.60.Hc, 81.07.De, 87.64.kj
INTRODUCTION
In systems of classical particles confined to 1D channels, Fickian diffusion yields a variance
2
2Dt σ = in
displacements, where D is the self-diffusivity. In single-file channels, which are too narrow for particles to pass,
diffusion may become anomalous, depending on the particle density and time-scale. As the occupancy θ of the
channel increases, a cross-over to the single-file diffusion (SFD) regime is expected, where
2
2 F t σ = and F is
the single-file mobility. Such behavior has been validated in macroscopic channel-particle systems, where individual
particle trajectories are easily tracked [1, 2]. However, it seems the occurrence SFD on the molecular scale is more
difficult to prove, with only a handful of reports appearing in the literature [3-6]. Recent interest in molecular SFD
stems from its potential use in catalysis and separations [7, 8]. These applications require open-ended channels,
where diffusion and exchange are interdependent. To characterize the accumulation of labeled particles in the
channels, which at time 0 τ = contain only unlabelled particles, the tracer exchange function is defined:
() () ( ) # particles / # particles γτ τ = ∞
()
0
t dt
τ
φ =
∫
, where ( ) t φ is the residence time distribution [9].
In NMR tracer exchange, the nuclear spin serves as a label. The xenon-129 atom affords key advantages for
NMR tracer exchange: its chemical shift is sensitive to the size, shape and loading of pore spaces. Moreover, the
129
Xe NMR signal can be enhanced by >10
4
by spin exchange optical pumping [10]. In hyperpolarized tracer
exchange NMR, the sample is exposed to a continuous flow of hyperpolarized
129
Xe gas. Hyperpolarized atoms
diffuse into the pore structure of the solid. After a steady-state nuclear spin polarization distribution is established, a
selective saturation-recovery pulse sequence is applied, and the subsequent recovery of the adsorbed phase
hyperpolarized NMR signal is recorded as a function of τ , the post-saturation delay [6].
EXPERIMENTAL
Continuous-flow hyperpolarized
129
Xe NMR studies were performed at 9.4T on two different polycrystalline
nanotube materials: 15mg of L-Alanyl L-Valine (AV, MP Biomedicals) and 40mg of [Ga
10
(OMe)
20
(O
2
CMe)
10
]
(Ga
10
) [11, 12]. SEM images of the samples are shown in Fig. 2. The powders were packed loosely into a 3mm
(outside diameter) cylindrical PEEK (polyetheretherketone) sample holder. The Rb-Xe spin exchange optical
pumping system and NMR setup are described in Ref. [10]. AV was evacuated to ~10
-5
mbar at 100
o
C for 2-3hr;
Ga
10
at 25
o
C. The samples were immersed in a mixture of hyperpolarized
129
Xe in
4
He at a flow rate of about
100mL/min. After reaching a steady state, the adsorbed phase
129
Xe polarization was destroyed by a train of
frequency selective Gaussian shaped pulses. For each recovery delay, the NMR signal was acquired with a non-
selective /2 π pulse. Thermally polarized
129
Xe atoms are not detected under the experimental conditions.
Magnetic Resonance in Porous Media
AIP Conf. Proc. 1330, 43-46 (2011); doi: 10.1063/1.3562229
© 2011 American Institute of Physics 978-0-7354-0885-2/$30.00
43
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