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G. Majer et al. / Journal of Alloys and Compounds 404–406 (2005) 738–742
total relaxation rate Γ1 consists in general of the sum of two
contributions
Γ1 = Γ1,para + Γ1,dip
(4)
where Γ1,para results from the dynamic interaction of the pro-
ton spins with fluctuating magnetic fields arising from param-
agnetic impurities. The dipolar relaxation Γ1,dip is due to the
motion-induced fluctuations of the magnetic dipole–dipole
interaction of a given proton with neighboring protons and
with the sodium and aluminum nuclei.
In pure NaAlH4 the nuclear magnetization was found
to recover single exponentially according to Eq. (3) with a
rather long relaxation time of T1 = (Γ1)−1 ≈ 3200 s at room
temperature. Shorter relaxation times and deviations from
a single-exponential recovery of the nuclear magnetization
were observed in less pure samples, purified in a different
batch. We assume that Γ1 in undoped NaAlH4 is mainly due
to the impurity-related paramagnetic relaxation Γ1,para with
negligible contributions from the motion-induced dipolar re-
Fig. 3. Temperature dependence of the proton NMR spectrum of Na3AlH6.
agents. The proton NMR spectrum of NaAlH4 with 1.8 mol%
Ti-clusters measured after having heated the sample for 1 h
to 360 K already closely resembles that of Na3AlH6. This
allows us to conclude that the first decomposition stage
of the Ti-cluster-doped NaAlH4 is completed after 1 h at
360 K.
laxation Γ1,dip
.
The overall relaxation in the Ti-catalysed samples is much
faster than in the untreated samples. Furthermore, rather
pronounced deviations from single-exponential recovery of
the nuclear magnetization are observed in the doped samples.
The data can be reasonably well described by a double-
exponential magnetization recovery, as shown in Fig. 4
for NaAlH4 with 1.8 mol% Ti-clusters. The time constants
obtained directly after activating the samples are about 4 and
45 s for doping with TiCl3 and about 0.7 and 15 s for doping
with Ti-clusters. The fast relaxation in the Ti-doped samples
may in principle be attributed to an increase of both Γ1,dip
and Γ1,para. It is reasonable to assume that the hydrogen dy-
namics is enhanced due to the presence of catalysts, resulting
in an increase in Γ1,dip. Besides this effect the catalysts may
act as paramagnetic centers of relaxation and thus contribute
that ball milling of pure NaAlH4 reduces T1 even without
catalysts. Moreover, the recovery of the nuclear magnetiza-
tion of hydrogen in Ti-doped samples is not exceeding that
measured on Na3AlH6 (cf. Fig. 4). The Na3AlH6 sample
was prepared by ball milling of NaAlH4 and NaH without
catalysts, and the proton relaxation of Na3AlH6 can be
consistently described in terms of hydrogen dynamics (see
below). Finally, we found that adding the same amount of
catalyst to a paraffin sample is not affecting the proton Γ1.
Therefore, we assume that the strong increase in the relax-
ation rate in the case of NaAlH4 is mainly due to an enhanced
hydrogen dynamics caused by the catalysts. The processes
of hydrogen dynamics in NaAlH4 are most likely related
to the rotation of the AlH4 tetrahedra. The different time
constants observed in the samples with Ti-based catalysts
may be ascribed to AlH4 tetrahedra at different positions,
e.g. in the bulk and at the surface of the crystalline grains.
It is evident from Fig. 4 that after 6 weeks the recovery
of the nuclear magnetization in Ti-cluster-doped NaAlH4
The proton NMR spectrum of NaAlH4 suggests that even
at room temperature the so-called rigid lattice condition
is fulfilled, i.e. the characteristic rate of hydrogen motion
νH is much lower than the width of the NMR spectrum
ꢀν ≈ 50 kHz. For Na3AlH6, the proton NMR spectrum is
more narrow at room temperature, but it changes substan-
tially at lower temperatures. Fig. 3 shows a comparison of the
spectra measured on Na3AlH6 at three different temperatures
between 146 and 283 K. The 146 K spectrum of Na3AlH6
consists of a small central line superimposed on a doublet
structure with a splitting of about 50 kHz, quite similar to
the room-temperature spectrum of NaAlH4. The intensity of
the central line grows with increasing temperature at cost
of the doublet structure. Already at 225 K the doublet struc-
ture has essentially disappeared with only two shoulders left.
The structure of Na3AlH6 suggests that this phenomenon is
related to hindered rotation of the AlH6 groups, which form
nearly regular octahedra with a four-fold symmetry [13]. The
phenomena of the thermally activated rotation of the AlH6
octahedra in Na3AlH6 have been studied previously by pro-
ton NMR [8]. The rotation of the AlH6 octahedra allows
a given proton spin to sample different local fields, result-
ing in a partial averaging of the resonance frequencies. In
NaAlH4 the (local) mobility of hydrogen seems to be much
lower than in Na3AlH6, since the proton NMR spectra of
NaAlH4 indicate no effect of motional averaging. This re-
sult is in good agreement with the relaxation data discussed
below.
In order to gain further insight into the hydrogen dynamics
in the different compounds the proton spin-lattice relaxation
has been measured on the same samples. In these systems the