632 J. Agric. Food Chem., Vol. 48, No. 3, 2000
Cheng and Lin
With the increase of heating rates, all of the peak
temperatures shifted to the higher temperature range.
Different heating rates might change the peak shape
and peak temperature of a sample, thus the choice of a
correct heating rate is of vital importance in ascribing
the correct temperature to a transition. The broad
endothermic peaks within 109-125 °C were due to the
dehydration of APM hemihydrate, but the exothermic
peaks at 126-138 °C might be attributed to the recrys-
tallization of APM to form anhydrous APM. Moreover,
the endothermic peaks ranging from 181 to 189 °C were
due to the intramolecular cyclization of APM molecules
to form DKP (Leung et al., 1998). Since APM proceeded
in the solid-state reaction before the melting point of
anhydrous APM, the melting point of anhydrous APM
could not be found on the thermogram. The endothermic
peaks within 240-249 °C should be assigned to the
melting of solid products of DKP.
F igu r e 1. DSC thermograms of aspartame hemihydrate with
four scanning heating rates. Key: a, 3 °C/min; b, 5 °C/min; c,
8 °C/min; d, 10 °C/min.
According to the Kissinger equation in which the
reaction rate varied with temperature and then the peak
temperature also varied with heating rate (Kissinger,
1957), the activation energy of intramolecular cycliza-
tion of APM can be calculated.
thermolysis and the bond formation energy of cyclization
for DKP formation in the APM molecule were explored.
The total activation energy of the DKP formation by this
FT-IR/DSC microscopic technique was also calculated.
d(ln â/T2)
-Ea
)
R
d(1/T)
MATERIALS AND METHODS
Ma ter ia ls. Aspartame hemihydrate (APM) was obtained
from Tokyo Kasei Indus. Co. Ltd (Tokyo, J apan) without
further treatment. KBr crystals for pellets were purchased
from J ASCO Spectroscopic Co. Ltd (Tokyo, J apan).
Th er m a l An a lysis of Asp a r ta m e. The DSC curves of APM
crystals were determined by differential scanning calorimetry
(DSC-910, TA Instruments Inc., New Castle, DE) with four
heating rates of 3, 5, 8, and 10 °C/min in an open pan system
under a stream of N2 gas.
Tr a n sm ission F T-IR/DSC Tim e-Sca n Mea su r em en ts
(Lin et a l., 1995, 1996). A small amount of APM crystals was
sealed within two pieces of KBr pellets using a hydraulic press
(200 kg/cm2, 15 s). This compressed KBr disk was directly put
in the DSC microscopy cell (FP 84, Mettler, Greifensee,
Switzerland). The DSC microscopy cell was then placed on the
stage of the microscope in the FT-IR microscopic spectrometer
(Micro FTIR-200, J ASCO, Tokyo, J apan) with an MCT detec-
tor. The system was operated in the transmission mode. The
position and focus of the sample were adjusted through the
microscope. The temperature of the DSC microscopy cell was
monitored with a central processor (FT80HT, Mettler, Greif-
ensee, Switzerland). The heating rate of DSC assembly was
controlled at 3 °C/min in the isothermal condition. The
isothermal procedure used a time-scan measurement program
to control the DSC microscopy cell at 150, 155, 160, 165, and
170 °C, maintaining the sample at each temperature for 1 h.
During the experiment, the sample disk was first equilibrated
to the above prescribed temperature for about 3 min and then
time-scanned. The thermal-responsive IR spectra were re-
corded while the sample disk was heated on a DSC microscope
stage.
where â is the heating rate (°C/min), R is the gas
constant (8.314 J /(mol K)), Ea is the activation energy
(J /mol), and T is the peak temperature (K). From the
slope of a plot of ln â/T2) and 1/T, the Ea was calculated
as 250.3 kJ /mol for the intramolecular cyclization of
APM. This value of Ea was close to 265 ( 6 kJ /mol by a
DSC method and 268 ( 8 kJ /mol determined by a TGA
method (Leung et al., 1997, 1998). It should be noted
that the solid-state degradation is usually slower than
solution degradation, producing a greater activation
energy.
Evid en ce of In tr a m olecu la r Cycliza tion in AP M
Molecu les. Parts A-D of Figure 2 represent the three-
dimensional plots of FT-IR spectra of APM between
1800 and 1160 cm-1 with four heating temperatures
(155, 160, 165, and 170 °C) as a function of heating time.
Moreover, the critical changes in IR spectra for each
heating temperature are also superimposed in Figure
2A-1-D-1. It is evident that within the critical heating
intervals the peak intensity of IR spectra of APM at
certain wavenumbers changed markedly with temper-
ature. The critical heating intervals for conversion were
46-60 min for the 150 °C heated sample (figure not
shown), 26-40 min for the 155 °C heated sample, 16-
30 min for the 160 °C heated sample, 2-9 min for the
165 °C heated sample, and 0-2 min for the 170 °C
heated sample, respectively. The changes in IR spectral
wavenumber occurred at 1736-1718, 1543, 1377-1362,
1283-1259, and 1225 cm-1. The peak at 1736 cm-1 due
to the carbonyl stretching vibration of ester disappeared
gradually, but a new peak at 1718 cm-1 assigned to the
carbonyl CdO of carboxylic acid increased gradually via
a critical heating time. The amide II-related NH peak
at 1543 cm-1 disappeared stepwise. The peaks at 1377
and 1225 cm-1 assigned to the bending of methyl group
and CsO stretching of ester disappeared also. Moreover,
the peak at 1283 cm-1 assigned to the CN bond of DKP
gradually appeared but the peak at 1259 cm-1 corre-
sponding to the methoxyl group disappeared stepwise.
RESULTS AND DISCUSSION
Th er m a l Sta bility of AP M Deter m in ed by DSC
Meth od s. Thermal analysis techniques such as DSC
and TGA have proven useful in evaluating the kinetic
parameters of various reactions and materials. Figure
1 shows the DSC curves of APM determined by a series
of heating rates between 3 and 10 °C/min. Generally,
one broad and two sharp endothermic peaks and one
exothermic peak were observed in DSC curves, although
peak temperature varied with different heating rates.