J.K. Jung et al. / Solid State Communications 130 (2004) 45–48
47
Table 1
The values of fractions a and b corresponding to h-BNNT and r-BNNT, respectively, according to the different experimental methods
Method used
NMR
Applied field (T)
4.7
Measuring quantity
Peak
a
b
Reference
0.71
0.29
Present work
Present work
1
4.1
Peak
0.67
0.64
0.33
0.36
T1
XRD
–
Peak
0.58
0.42
[3]
of the r-BNNTs peaks at both magnetic fields were shifted in
the up-field direction. A detailed investigation into the
origin of these different shifts in direction, i.e. of the
opposite magnetic environment of the two phases, is
presently underway.
respectively. The values of 1=T were also obtained in the
1
same manner for the other temperatures investigated.
On the other hand, in the case of an applied magnetic
field of 14.1 T, the T was measured for the undissolved
1
spectrum arising from the contributions of the two phases.
The two exponential function shown in the inset of Fig. 2
correspond to one exponential function arising from each
phase. One exponential behaviour in a high magnetic field
The T1 was measured in the temperature range 180–
30 K in two magnetic fields of 4.7 and 14.1 T. A recovery
4
function for the central line with the dominant quadrupole
relaxation is given in the following equation for the case of
an inversion recovery pulse sequence.
may be understood by considering the following. W and W2
1
are angular dependent with respect to the applied magnetic
field. In the powder samples with quadrupole relaxation at
yðtÞ ¼ ½1 2 MðtÞ=Mð1Þ=2
higher magnetic field usually W ø W2 after an orienta-
1
tional average and then one exponential is essentially
¼
0:5exp ð22W tÞ þ 0:5exp ð22W tÞ
ð1Þ
1
2
observed [7]. Thus, W ¼ W ¼ W; the recovery function of
1
2
where MðtÞ is the nuclear magnetization at time t; and W1
and W2 are the transition probabilities corresponding to
Dm ¼ ^1 and Dm ¼ ^2; respectively. Thus, the recovery
curve is not a single exponential function, and the spin
Eq. (1) is written by the form of exp ð22WtÞ ¼ exp ð2t=T1Þ;
where 2W ¼ 1=T1: Therefore, the recovery data shown in
the inset of Fig. 2 can be fitted to the following two
exponential functions.
lattice relaxation rate, 1=T ; is given by
1
yðtÞ ¼ ½1 2 MðtÞ=Mð1Þ=2
1
=T ¼ 2ðW þ 4W Þ=5
ð2Þ
Fig. 2 shows the T recovery data of peaks for h-BNNTs and
1
1
2
¼
a exp ð2t=T1h-BNNTsÞ þ b exp ð2t=T1rBNNTs
Þ
ð3Þ
1
r-BNNTs in 4.7 T at 297 K, which is well fitted using Eq.
where T1h-BNNTs and T1r-BNNTs are the spin lattice relaxation
times for the h-BNNTs and r-BNNTs phases, respectively.
The a and b are the weighting factors (or fractions) of the h-
BNNTs and r-BNNTs phases, respectively, for the total
BNNTs spectrum. We also estimated the fractions a and b
were 0.64 and 0.36, respectively, which are almost the same
values as those obtained from the spectrum intensity fit of
(
to be 0.53 s and 0.58 s for h-BNNTs and r-BNNTs,
1). Using Eq. (2), the values of 1=T at 297 K were obtained
1
2
1
21
Fig. 1(b). The fitting of the T data at other temperatures
1
gave almost the same fraction values. The a and b estimated
from the spectrum analysis and T fitting are summarized in
Table 1.
1
Fig. 3 shows the temperature dependence of 1=T for the
1
two phases in two different magnetic fields. The exper-
imental results show that the temperature dependence of
2
=T1 for r-BNNTs phase is proportional to T ; which is
1
shown by the fitted solid line in Fig. 3, although the data
fluctuation is quite large. An exponential recovery and no
Larmor frequencies dependence of 1=T (see Fig. 3) for r-
1
BNNTs phase was also observed. These features indicate
that the relaxation process of r-BNNTs phase in BNNTs is
characteristic of a Raman relaxation mechanism driven by
lattice vibration [8]. Meanwhile, the origin of relaxation
Fig. 2. The recovery trace of the magnetization at 4.7 T for BNNTs
at 297 K. The inset shows the recovery data at 14.1 T at the same
temperature.
1
1
mechanism for h-BNNTs is being study. In summary,
B