16 DOI 10.1002/star.200400298 Francesca Lionettoa Alfonso Maffezzolia Marie-Astrid Ottenhofb Imad A. Farhatb John R. Mitchellb The Retrogradation of Concentrated Wheat Starch Systems a Department of Innovation Engineering, University of Lecce, Lecce, Italy b Division of Food Sciences, School of Biosciences, University of Nottingham, Loughborough, UK Starch/Stärke 57 (2005) 16–24 The ageing of non-expanded wheat starch extrudates containing 37% and 51% water on a dry solids basis (d.s.b.) at 257C was studied using Differential Scanning Calorimetry (DSC), Wide Angle X-ray Diffraction (XRD), proton Nuclear Magnetic Resonance (NMR) relaxometry and Dynamic Mechanical Thermal Analysis (DMTA). The retrogradation rate increased with water content (,0.02 h21 at 37% water (d.s.b.) compared to ,0.06 h21 at 51%). While a good correlation was found between the DSC, XRD and NMR data, the kinetics of retrogradation measured by DMTA was delayed. The findings were interpreted in terms of the different molecular processes probed by the different techniques. In addition to the kinetics, information on the physical structure of the partially crystalline retrograded materials were obtained. DSC suggested a broad bimodal melting behaviour, which was attributed to the melting of the crystalline structure followed by the dissociation of the double helices. XRD suggested that at both water contents, the recrystallisation of amylopectin led principally to the A-polymorph. DMTA suggested a significant interaction between the amorphous and crystalline phases, with a requirement of a minimum relative crystallinity index of ,0.8 (e.g. ,80% of the crystallinity index of the fully retrograded material), before any increase in the elastic modulus (at 257C) was measured. Keywords: XRD; DSC; NMR; DMTA; Starch crystallisation Research Paper 1 Introduction The conversion of the partially crystalline native starch granule was successfully described using a “side-chain liquid-crystalline model” by Donald and co-workers [1]. This conversion often occurs through thermal processing in the presence of varying amounts of water (e.g. baking, pasting, etc.), which can be combined with mechanical shear (e.g. in extrusion) or through chemical (e.g. the use of solvents such as DMSO) and biochemical (e.g. enzymatic hydrolysis) processes, etc. [2]. On cooling and during early storage of converted/gelatinised starch, amylose gelation or retrogradation occurs [3], while during longer storage (hours to weeks, depending on composition and storage conditions), amylopectin gelation or retrogradation occurs [3], which essentially leads to the partial recrystallisation of amylopectin. Retrogradation happens because gelatinised starch is stored in the supercooled state i.e. below its melting temperature. It is therefore not at thermodynamic equilibrium and, during storage, starch molecular packing and recrystallisation occurs. Starch retrogradation is scientifically and technologically important since it leads to significant changes in the mechanical properties of starch-based products and thus greatly affects their sensory (e.g. texture and flavour perception), nutritional (susceptibility to enzymic hydrolysis [4]) and processing (shredding, cutting, etc.) characteristics. Consequently, numerous investigations have been carried out on this phenomenon but the molecular level mechanisms involved are not fully understood. Furthermore, the majority of the existing literature relates to high water content systems, which are of limited relevance to many food systems, such as baked goods. Correspondence: Imad A. Farhat, Division of Food Sciences, School of Biosciences, University of Nottingham, Loughborough LE12 5RD, UK. Phone: 144-1159-516134, Fax 144-1159516142, e-mail: [email protected]. The aim of this research was to study the changes occurring during storage of concentrated wheat starch systems as part of a large research programme aimed at gaining an enhanced molecular understanding of the transformations occurring during the processing and storage of starch materials (starches from various botanical sources and a range of starch-containing systems). This was achieved by studying the same materials, with comparable processing and storage histories using a range of complementary techniques, which probe different physical properties over different distances and timescales, thus avoiding misleading comparisons often made between different techniques performed in different studies under different conditions. 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.starch-journal.de Starch/Stärke 57 (2005) 16–24 Retrogradation of Concentrated Wheat Starch Systems 2 Materials and Methods Native wheat starch was obtained from Avebe (Veendam, the Netherlands), lot no. 0394-1. 2.1 Sample preparation Non-expanded wheat starch/water ribbons were prepared by extrusion through a 1630 mm slit die using a Clextral BC-21 co-rotating, intermeshing twin-screw extruder. The extrusion temperature profile was 40, 90, 120, 757C, the solid feed rate was 5 kg/h and the screw speed was 300 rpm. Different amounts of distilled water were introduced into the second zone of the extruder barrel to obtain samples containing 37% or 51% water on a dry weight basis (w/w d.s.b.) i.e. grams of water per 100 grams of dry solid. Water contents were determined directly after extrusion by drying the sample at 1057C for 24 h. The samples were sealed in airtight aluminium bags (for the XRD and DMTA studies) or in stainless steel DSC pans (for the calorimetry study) or in NMR tubes (for the NMR study) to prevent loss of water and stored in an incubator at 25617C. 2.2 X-ray diffraction Wide angle X-ray diffraction (XRD) measurements were carried out to obtain information regarding long-range crystalline order. An AXS D5005 diffractometer (Bruker, Karlsruhe, Germany) was used. The X-ray generator was equipped with a copper tube operating at 40 kV and 30 mA and irradiating the sample with monochromatic Cu Ka radiation with a wavelength of ,0.154 nm. XRD diffractograms were acquired at room temperature over a 2y range of 4–387 at 0.17 intervals with a measurement time of 6 s per 2y interval. These were acquired at regular storage time intervals for up to 10 days of storage on disks (,25 mm of diameter) cut from the extruded ribbons. 17 rapid cooling of the samples did not show any thermal events in the amylopectin-melting region. The thermograms were normalized to the dry matter weight of each sample. The sample contained in the stainless steel pan was weighed before and after heat treatment to check for potential moisture loss. 2.4 1H relaxation NMR Proton relaxation NMR measurements were carried out to obtain information on the changes in molecular mobility during storage. A Resonance Instruments MARAN spectrometer (Witney, UK) operating at a resonance frequency of 23 MHz was used. The samples were sealed in 8 mm diameter tubes and stored at 25617C as described above. The Free Induction Decay (FID) was acquired using the solid-echo pulse sequence with a spacing of 10 ms between the two 907 pulses. The behaviour of the mobile components was followed using the spin-echo decay acquired using the Carr-Purcell-Meilboom-Gill (CPMG) pulse sequence with a spacing of 200 ms between the 907 and 1807 pulses. Sixteen scans with a recycle delay of 3 s were recorded. The probe temperature was set to 257C using a flow of compressed air. The CPMG decays were fitted to a continuous distribution of exponentials with relaxation times spread logarithmically between the values of 2t (0.4 ms) and 2nt (410 ms; n=1024, number of echoes acquired) using RI WinDXP software (Resonance Instruments, Witney, UK). The relaxation spectrum showed essentially one main relaxation distribution. In the interest of clarity, a single spin-spin relaxation time (T2), corresponding to the maximum of this main relaxation distribution, was used to monitor retrogradation. 2.5 Dynamic mechanical thermal analysis 2.3 Differential scanning calorimetry Dynamical mechanical thermal analysis (DMTA) was used to monitor the changes in the mechanical properties and the macromolecular relaxation processes occurring during retrogradation. The samples were sealed in high-pressure stainless steel pans and stored at 257C as described above for different times prior to analysis. The melting (melting of crystallites and dissociation of double helical structures) behaviour of the retrograded starch was studied using a power compensated Perkin-Elmer DSC7 (Norwalk, CT, USA) differential scanning calorimeter. An empty stainless steel pan was used as reference. The samples were heated from 207C to 1607C at 107C/min. A second heating scan after A Rheometric Scientific (Piscataway, NJ, USA) dynamic mechanical thermal analyser DMTA IV operating in bending mode was used. Rectangular strips (approximately 7 mm x 14 mm62 mm) were cut from the extruded ribbons and clamped in the single cantilever geometry. The analysis was performed during heating from 230 to 707C at six frequencies between 0.3–30 Hz. A relatively low heating rate of 17C/min was used to ensure adequate thermal equilibrium across the sample. In order to alle- 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.starch-journal.de 18 F. Lionetto et al. Starch/Stärke 57 (2005) 16–24 viate potential water loss during the measurement, the sample was covered with a thin film of silicone oil and no data were acquired above 707C. The results of dynamic mechanical analysis are valid only if the material exhibits linear viscoelasticity, which implies that E’, E’’ and tan d must be independent of the strain amplitude. Therefore, particular attention was devoted to the choice of the strain amplitude. A preliminary test at fixed frequency and variable strain (strain sweep test) was performed to determine the strain amplitude values that did not affect the moduli values and, based on these results, a strain amplitude of 0.1% was selected. 2.6 Retrogradation kinetics The results obtained from the different techniques were fitted, using a non-linear least-squares routine (MS Excel Solver), to a stretched exponential based on the Avrami kinetics equation [5] as described elsewhere [6]. UðtÞ ¼ Y 1 YðtÞ ¼ expðktÞn Y1 Y0 (1) where k is the kinetic constant and n is the Avrami exponent, related to the dimensionality of nucleation and crystal growth. It must be noted that the above reported form of the Avrami equation provides the correct physical dimensions of k (s21) [6, 7]. 3 Results and Discussion 3.1 Recrystallisation kinetics and polymorphism The XRD diffractograms of the wheat starch samples, containing 51% water (w/w d.s.b.), stored at 257C for up to ten days are shown in Fig. 1. The diffractogram recorded shortly after extrusion showed predominantly a diffuse pattern typical of amorphous systems with a sharp peak centred at around 2y < 19.77. This peak did not change significantly in intensity or width during storage and was assigned to the presence of a crystalline V-type amylose-lipid complex, which is likely to have formed during the extrusion process [8]. Native wheat starch granules have an A-type crystalline structure [9], which was largely disrupted by the extrusion process as suggested by the absence of any significant peaks related to the A-type crystallites in the diffractograms acquired shortly after extrusion (Fig. 1). Fig. 1. XRD diffractograms of wheat starch extrudates containing 51% water (d.s.b.) stored at 257C for different ageing times. Significant variations in the diffractograms were observed starting from ,15 hours of ageing. The sample with the lower water content (37% d.s.b.) showed a similar behaviour but with a longer delay before significant crystallisation could be observed. After approximately 2 or 3 days of ageing, depending on the moisture content (51% or 37% water d.s.b. respectively), only slight changes in the diffractograms were observed indicating that the “full” retrogradation was achieved. The comparison of the diffractograms of the “fully” retrograded wheat starch extrudates to those of native wheat (typical A-type) and potato (typical B-type) (Fig. 2) suggested that both samples had a predominantly A-type pattern. The polymorph formed as a result of the recrystallization, depends largely on the water content and storage temperature conditions and is not necessarily the same as that of the original native starch [11, 12]. Marsh [11] mapped the polymorphism of recrystallised wheat starch as a function of water content and storage temperature. He found that the A-polymorph was favoured in conditions of lower water contents and/or higher storage temperatures, as opposed to the B-polymorph, which was favoured at higher water contents and/or lower storage temperatures. Results obtained by Marsh [11] suggested that, at 257C, the samples studied would be near the boundary between the mainly A- and mainly B-polymorphic domains and that a mixture of A- and B-type crystals would be expected particularly for the higher water content sample. On storage, well-defined diffraction peaks emerged indicating an increasing crystalline fraction. This was assigned to the recrystallisation of amylopectin [10, 11]. The crystallinity indices of the samples with different extents of ageing were calculated from the XRD diffractograms using the Wakelin correlation method [13]. According to this method, the relative crystallinity index, w, of a sample is calculated relative to a minimum and a maximum value corresponding to an amorphous (w=0) and a crystalline (w=1) reference standard respectively. For 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.starch-journal.de Starch/Stärke 57 (2005) 16–24 Retrogradation of Concentrated Wheat Starch Systems 19 3.2 Differential scanning calorimetry Fig. 2. Comparison of the XRD diffractograms of the ‘fully’ retrograded (7 days storage, 257C) wheat starch extrudates (51% and 37% d.s.b.) with the diffractograms of native potato starch (B-type) and native wheat starch (A-type). each sample, the diffractograms acquired shortly after extrusion and on the “fully” retrograded samples (i.e. at the longest storage time) were taken as the amorphous and crystalline standards, respectively. The correlation method is easy to automate and adopt for routine analysis but suffers from the assumption that the fresh sample is totally amorphous and the “fully” retrograded sample is maximally crystalline. However, it has the advantage of excluding the contribution of the crystalline amylose-lipid complex and hence only reflecting amylopectin recrystallisation. The rate of recrystallisation of the sample containing 51% water was significantly higher than that at 37% (Fig. 3). These results were consistent with those found using the other experimental techniques discussed below. The thermograms acquired shortly after extrusion showed no significant thermal events in the region between 257C and 1407C (Fig. 4) except for a minor endotherm centred at ,1277C, which is likely to be related to the melting of the complex formed between amylose and the endogenous starch lipids, as seen in the XRD data. Typically, wheat starch contains ,0.8% lipids and ,28% amylose [14]. As the storage time increased, a bimodal endothermic event, with components centred at ,637C and ,1007C for the sample containing 51% water, became increasingly significant. These endotherms were assigned to the complex melting behaviour of starch crystallites in limited water content conditions. The sample containing 37% water showed similar behaviour with the endotherms occurring at slightly higher temperatures (,677C and ,1067C, respectively). A limiting melting enthalpy of 8.160.07 J/g starch (dry matter) was achieved after full retrogradation for both water contents. The temperature range over which melting occurred was very broad (from ,50 to ,1157C) suggesting a wide range of “melting” events. These could be attributed to a broad distribution of crystals with varying stability. However, this is not compatible with the well-defined bimodal nature of the endotherm. It is tempting to interpret it in terms of the melting of the two polymorphs of the mixed structure. This is, however, not compatible with the XRD results which suggested that the A-polymorph was principally formed (Fig. 2). It has been suggested that recrystallisation or crystal perfection phenomena could take place during the DSC heating scan owing to an increase in molecular mobility particularly after the onset of melting [15, 16], leading to a higher temperature melting event. However, such molecular rearrangements are unlikely given the limited timescale available at the heating rates employed (107C/min). Another more plausible interpretation for this bimodal melting pattern is that the lower Fig. 3. Comparison of the extent of retrogradation calculated from XRD data through the crystallinity index (D) and from DSC data through the relative change in melting enthalpy (s) on wheat starch extrudates with 37% (open symbols) and 51% (filled symbols) water content (d.s.b.), stored at 257C. The lines are the best fits to the experimental results using Equation (1). Fig. 4. Melting endotherms of wheat starch extrudates containing 51% water (d.s.b.) stored at 257C for different times and heated from 20 to 1607C at 107C/min. 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.starch-journal.de 20 F. Lionetto et al. temperature endotherm is related to the disruption of the packing of double-helices of the amylopectin A- and short B-chains, while the higher temperature endotherm reflects the subsequent dissociation of double helices. Such an interpretation is compatible with the models proposed by Donald and co-workers [17, 18] of the melting of native starch in limited water content conditions. Also, that the appearance of the high temperature endotherm occurs first is compatible with the model proposed by Goodfellow and Wilson [3], where the double helical structures would form and subsequently pack into crystalline lattices. The melting enthalpy of the retrograded amylopectin was calculated from the area of the combined endotherm as an indication of the extent of retrogradation and was expressed on the basis of the dry matter weight of each starch sample. The normalized DSC melting enthalpies were compared to the XRD crystallinity indices in Fig. 3. The progress of retrogradation monitored by the two different techniques was comparable with the sample of Starch/Stärke 57 (2005) 16–24 lower water content (37% w/w d.s.b.) showing a slower retrogradation rate than that with 51% water (w/w d.s.b.). The retrogradation rates calculated using Equation (1) were comparable for both techniques at ,0.06 h21 for the sample containing 51% water (d.s.b.) and 0.02 h21 at 37% water (d.s.b.). 3.3 NMR relaxometry The FID and CPMG NMR signals showed a systematic dependence on the duration of storage, implying that the NMR properties were affected by the extent of reordering of the gelatinised amylopectin (Fig. 5). The rapidly decaying component of the FID (Fig. 5a insert) reflects the behaviour of the starch protons as this component is believed to result principally from C-H and nonexchangeable O-H on the starch polysaccharide’s backbones and rigid chains. The liquid-like component was recorded through the spin-echo decay (CPMG). The CPMG decay acquired with a t spacing of 0.2 ms is Fig. 5. Effect of ageing on the 1H-NMR solid-echo (a) and spin-echo (b) decays of wheat starch extrudates containing 51% water (d.s.b.) aged for different times at 257C. 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.starch-journal.de Starch/Stärke 57 (2005) 16–24 Retrogradation of Concentrated Wheat Starch Systems believed to be mostly related to O-H protons (water and exchangeable starch O-H) and highly mobile C-H protons (end chains in non-retrograded, high water content systems) [10, 19]. As the storage time increased, the rate of relaxation (1/T2) of the FID and CPMG decays increased, suggesting an overall decrease of the molecular mobility as a result of retrogradation (Fig. 6). The increase of the rate of relaxation of the rigid component was paralleled by an increase in its relative contribution to the total NMR signal, reflecting the increased fraction of amylopectin chains becoming restricted in their mobility as a result of the re-ordering process. These observations are in agreement with previous reports on similar systems [10, 20]. The decrease in the mobility of the liquid-like component can be explained by the combined effects of (i) the increased rigidity of the matrix and its effects on water relaxation behaviour through proton exchange and crossrelaxation processes and (ii) the “immobilization” of some water molecules in the structure of the crystal unit cell [19]. The latter being less likely since the water content of the crystalline fraction is only ,4% [9] in the case of the Apolymorph and water in the crystalline lattice is unlikely to contribute to the mobile CPMG signal. Relaxation times for the solid-like component of the FID were calculated by fitting the decay to three components (2 exponentials and a slowly decaying Gaussian), however the T2 values obtained were relatively shorter (typically decreasing from ,17 ms to ,14 ms) than reported in other studies [10]. This is likely to be due to distortions of the FID recorded using the spin-echo sequence, since the shortest inter-P90 pulse spacing (t) of 10 ms (this is the lowest, realistically achievable value considering the instrument and probe dead-times) is not greatly shorter than the T2 of the fastest decaying component of the FID, as would be normally required for the solid-echo pulse sequence 21 [21]. These distortions may explain why the solid-like component of the FID was best fitted with an exponential line shape rather than the expected Gaussian one. As a result of these issues, little emphasis was given to the absolute T2 of the solid-like component and only those of the liquid-like component were used to monitor the retrogradation kinetics (Fig. 6). As expected, the spin relaxation times (T2) in the fresh and retrograded materials increased with increasing water content. 3.4 Dynamic mechanical thermal analysis Like any semi-crystalline polymer, the amorphous regions of starch undergo molecular relaxation motions, which are constrained by the presence of the crystalline phase. During starch retrogradation, the relative amounts of amorphous and crystalline phases change as a result of recrystallisation. As a consequence, the glass-rubber transition would be expected to change with ageing time in terms of magnitude (as this transition reports on the amorphous fraction of the material) and possibly its temperature (as usually the glass transition temperature (Tg) of partially crystalline polymers increases with the degree of crystallinity). The changes in the macromolecular mobility occurring at the glass transition are therefore an indirect measure of the retrogradation process and can be accurately followed by DMTA. This mechanical spectroscopy technique detects the amount of energy absorbed by a material, particularly when the measurement frequency approaches that of a given molecular relaxation process. In this case, the retrogradation was analysed through the behaviour of the amorphous phase of starch rather than that of the crystalline phase, as was the case for XRD and DSC. In the starch samples with the higher water content (51% d.s.b.), the mechanical changes associated with the glass-rubber transition overlapped with those associated with the melting of the ice phase formed through the freezing of the so-called “freezable” water when the sample was cooled to 2307C. The formation of an ice phase was confirmed by DSC. The sample with the lower water content (37% d.s.b.) showed no significant ice formation in DSC experiments and thus was considered for a detailed analysis of the DMTA data. Fig. 6. Effect of ageing on the spin-echo relaxation rate of the liquid component (1/T2 liquid) of the NMR signal for extruded wheat starch with 37% (u) and 51% (n) water content (d.s.b.). The lines are the best fits to the experimental results using Equation (1). The DMTA thermograms acquired on the sample containing 37% water (d.s.b.) showed principally one main relaxation over the temperature range between 230 and 607C (Figs. 7 and 8). This transition, the temperature of which increased with frequency (Fig. 8, insert), was assigned to the a-relaxation associated with the glass transition of the amorphous starch-water phase. The initial, unrelaxed values of the storage (E’) and loss (E’’) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.starch-journal.de 22 F. Lionetto et al. Starch/Stärke 57 (2005) 16–24 crystalline fraction in the sample, suggested an interaction between the relaxation behaviour of the amorphous phase and the degree of crystallinity. This suggestion was supported by the systematic decrease in the activation energy of relaxation on ageing from ,280 kJ/mol shortly after extrusion to ,176 kJ/mol after ,3 days of storage. Fig. 7. Viscoelastic behaviour during a DMTA scan at 1 Hz of wheat starch extrudates (37% water d.s.b.) stored at different times at 257C and heated at 17C/min. Open and filled symbols represent storage (E’) and loss (E’’) moduli, respectively. moduli, i.e. in the glassy state (e.g. at 2307C), showed no significant dependency on ageing time with values of ,1029 Pa and 1028 Pa, respectively. In contrast, the relaxed value (in the rubbery state) depended strongly on storage time (Fig. 7). This increase of the relaxed modulus with time reflects the increase of the crystalline fraction in the material that reduces the amorphous phase and consequently the entity of the glass transition. This can be observed not only from the reduction of the storage modulus but also from the decrease of the tan d peak with time. The presence of a more significant crystalline phase could hamper the relaxational motions of the amorphous phase, leading to a decrease in the height of tan d peak (Fig. 8). Furthermore, the increasing width of the tan d peak with increasing storage time, i.e. with increasing The storage modulus measured by DMTA in the rubbery state can therefore be a useful small-deformation rheological approach to monitoring the progress of retrogradation. The plot of the extent of retrogradation in terms of the relative change in E’ on storage showed a comparable pattern to the results obtained by DSC, XRD and NMR (Fig. 9). It is interesting, however, to note that the kinetics of the change was significantly slower for the DMTA compared to the other techniques. This divergence is considered in a more detailed analysis of the DMTA data. The aged/retrograded starch samples can be viewed as composite materials, in which the crystalline phase acts like a rigid inclusion in the amorphous rubbery matrix. Considering such a biphasic system, the development of the starch storage modulus as a function of the crystalline content, during ageing at 257C, can be described by different mathematical models used in the micro-mechanical theory of composite materials [22–24]. The upper and lower bounds for the dependence of the composite modulus, E*, on the volume fraction, Xc, of the crystalline component for a two-phase model are given by an “in-parallel” and “in-series” model of the semicrystalline and amorphous phases. Assuming that both crystalline and amorphous phases are subjected to the same strain, the in-parallel model can be applied using the mixture rule [23]: E * = (12Xc)Ea* 1 XcEc* (2) where E*, Ea* and Ec* are the complex moduli of the sample, the amorphous and crystalline phases respectively, and Xc is the crystallinity index calculated from XRD Fig. 8. DMTA thermograms at 1 Hz acquired on wheat starch extrudates (37% water d.s.b.) stored at different times at 257C and heated at 17C/min. Insert: The multifrequency comparison of tan d peaks on samples stored for 23 h at 257C and heated at 17C/min. Fig. 9. Comparison of the relative extent of retrogradation at 257C of wheat starch extrudates (51% water d.s.b.) as sensed by different techniques. 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.starch-journal.de Starch/Stärke 57 (2005) 16–24 Retrogradation of Concentrated Wheat Starch Systems experiments. The real and imaginary components of Equation (2) can be easily separated giving the following expression of the storage modulus: E ’ = (12Xc)E ’a 1 XcE ’c (3) On the other hand, assuming an in-series connection of the amorphous and crystalline phases, in which they are subjected to the same stress, the complex modulus can be modelled according to Equation (4): 1 Xc ð1 X c Þ ¼ þ E E c Ea (4) from which the storage modulus can be calculated as [23]: 2 E0 ¼ 2 2 2 E 0c X c ðE 0a þ E 00a Þ þ E 0a ð1 X c ÞðE 0c þ E 00c Þ ½E 0c ð1 XcÞ þ E 0a X c 2 þ ½E 00c ð1 XcÞ þ E 00a X c 2 (5) The change of the storage modulus, measured at the frequency of 1 Hz, as a function of the degree of crystallinity, is reported in Fig. 10. The experimental results show a behaviour very close to the in-series model up to a crystallinity index of 0.8. At higher crystallinity fractions, there is probably a phase inversion with the crystalline phase becoming the continuous phase. In such a case, both crystalline and amorphous phases would be subjected to the same strain, explaining the similarity with the in-parallel model. 4 Conclusions The retrogradation of concentrated wheat starch extrudates (at two starch concentrations of 66% and 77%) was studied through a combination of several experimental techniques, which provided complementary results. 23 These techniques monitored different aspects of the retrogradation process and hence their sensitivity to the “onset” of the reordering process was different. Therefore, comparisons of kinetics data from different techniques must be made with caution. From the multi-technique investigation on retrogradation, complementary information rather than a pure similarity of results must be searched. DSC, which was believed to monitor the enthalpy of dissociation of the ordered structures (the melting of crystals and the dissociation of double helices) correlated well with the development of crystallinity measured by XRD and the decrease in molecular mobility of both the solid-like and liquid-like components probed by NMR relaxometry. This correlation suggests that under the conditions of this study (water content, storage temperature, type of starch, etc.), it was not possible to distinguish reliably between the recovery of short range molecular order (double helices), which would be detectable mainly by DSC and NMR relaxometry, and the subsequent aggregation of these double helices to form crystallites. The delayed beginning of retrogradation, as detected by DMTA through the storage modulus (at 257C), can be attributed to the fact that the development of significant modulus would lag behind the development of crystallites as a critical volume fraction of the crystalline phase would be required. The results showed that at 257C, wheat starch had a lower retrogradation rate at 37% water (d.s.b.) than at 51% water. This can be explained in terms of the plasticising effect of water, which reduces the glass transition temperature by adding free volume and hence enhances the mobility of the amylopectin A-chains and their ability to crystallise. Acknowledgements The present work was carried out with the support of the Marie Curie Fellowship financed by the European Community (EC Contract Number: HPMT-CT-2001-00404). The authors would like to thank Mrs. V. Street for assistance in the extrusion of the samples. References Fig. 10. 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