P Adriaensens et al
the high-ortho novolac prepolymer with 11 wt% of
paraformaldehyde at 180 ◦C and 150 bar for different
time periods varying from 2 to 60 min. After cooling
down in a desiccator, all samples were ground
to fine powders and preserved in dry atmospheric
conditions (desiccator).
RESULTS AND DISCUSSION
T1H relaxation decay time analysis
The T1H relaxation time, of the order of seconds,
is sensitive to high frequency molecular motions,
of the order of hundreds of MHz and, reveals
information about the molecular mobility and/or
molecular morphology of a polymer network. Since
the T1H relaxation behaviour of cured phenolic resins
will be discussed at temperatures well below the glass
transition temperature, these high-frequency motions
only arise from segmental chain motions of mobile
end-groups and branched side-chains11 since the
polymer network consists of a rigid crosslinked matrix.
In general, molecular motions are characterized by
a distribution of correlation times τc. As shown in
Fig 1, a minimum appears in the log T1H versus log τc
correlation diagram. At this minimum the spectral
density of molecular motions with a frequency of the
order of hundreds of MHz (proton Larmor frequency)
is optimal. At the left side of this minimum, the so-
called high-temperature side of the T1H minimum,
the higher frequency motions of small molecules,
mobile end-groups and side-chains are situated and
the T1H value is magnetic field independent. For rigid
molecules, the T1H relaxation time is situated at the
right side of this minimum and becomes magnetic
field dependent.
It must, however, be noted that, in rigid polymer
systems, the T1 and T1ρ relaxation times of abundant
nuclei, such as protons, are determined not only
by dynamical phenomena but also by the process
of spin diffusion. In rigid systems, spin diffusion
(magnetization transfer via energy-conserving spin
flip-flops) is very efficient due to the strong dipolar
proton–proton couplings. Because of spin diffusion
the T1H relaxation time becomes a ‘volume property’,
since it becomes averaged out over a distance of several
tens of nm. The spin diffusive path length (L) over
which spin diffusion takes place in a certain time t can
be calculated with the following equation:11,12
NMR measurements
Proton wideline solid-state measurements were per-
formed on a Varian Inova 400 spectrometer in a
dedicated wideline probe equipped with a 5-mm
coil. Samples were placed in 5-mm Pyrex tubes fit-
ted tightly with Teflon stoppers. T1H measurements
were accomplished by placing an inversion recovery
segment in front of a ‘solid echo’ pulse sequence
(180◦xꢀ —t—90x◦ꢀ —τ/2 − 90y◦ꢀ -τ/2-acquire) developed
by Powels and Strange10 to overcome the effects of
dead-time of the receiver, with an echo delay (τ) of
8 µs. A 90◦ pulse width of 2 µs was used and the
evolution time t was varied between 0.001 and 30 s.
The determination of T1H via the carbon resonances
was accomplished by means of inversion recovery
13C CP/MAS experiments on a 200 MHz spectrom-
eter and by using a spinning speed of 3.5 kHz, in
ceramic Si3N4 rotors, a π/2 pulse width of 8.4 µs, a
cross-polarization contact time of 2 ms and a spin-lock
field B1 of 40 kHz. The evolution time t was varied
between 0.001 and 25 s. Ethylene glycol was used to
calibrate the temperature, the magic angle was set with
KBr and the Hartman–Hahn condition was adjusted
using the aromatic signal of hexamethylbenzene. The
latter was also used to calibrate the chemical shift
(132.1 ppm) scale. A preparation time of five times
the longest T1H was always respected. Quantitative
functional group information was obtained by means
of 13C CP/MAS contact time studies in which the
contact time was varied between 2.5 and 30 ms.
The T1H decay times were obtained by analyzing
the signal intensity as a function of the variable
inversion recovery evolution time according to the
following equation:
ꢀ
L = 6 DT1H
(2)
−t
M(t) = M0(1 − 2 × eT
)
(1)
1H
in which M(t) and M0 are the magnetization at time t
and at equilibrium, respectively,
T1
FTIR measurements
The FTIR spectra, taken as a function of temperature
between 20 and 180 ◦C, were recorded on a Bruker
IFS 48 infrared spectrometer with conventional KBr
pellets. All measurements were signal averaged by 32
T2
scans and had a resolution of 4 cm−1
.
-12 -11 -10 -9
-8
-7
-6
-5
-4
-3
-2
-1
TGA measurements
log τc
TGA measurements are performed on a General
V4.1C DuPont 2000 thermogravimetric analyser with
a continuous nitrogen flow of 50 ml min−1 and a
Figure 1. Dependency of the T1 and the T2 relaxation decay times
upon the correlation time τc of molecular motion and the magnetic
heating rate of 10 ◦C min−1
.
field strength (
400 MHz, - - - - 20 MHz).
. . . . . . .
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Polym Int 52:1647–1652 (2003)