Table 1 collects the spin-lattice, T1, and spin-spin, T2, relaxation times for 5% (g/g) starch pastes without and with admixture of non-starchy polysaccharide hydrocolloids measured after 2 h, and 1, 10, 30 and 90 days storing.
Table 1 Spin-lattice, T1, and spin-spin, T2, relaxation times for 5% (g/g) starch pastes without and with admixture of non-starchy polysaccharide hydrocolloids after 2 h, and 1, 10, 30 and 90 days storing at 5o C For all NPS pastes regardless the period of their storage in an ice shrank up to 90 days only one spin-lattice (T1) and one spin-spin (T2) relaxation time could be observed. It was characteristic for biopolymers pastes [35, 40]. It suggested that in spite of progressing retrogradation of starches there was a fast chemical exchange, that is, the within the time necessary for the energy transfer from spin into environment as well as into to another spin, molecules of water could migrate from one fraction of water into another.
Already after the 2 h storage some differences in spin-lattice (T1) and spin-spin (T2) relaxation times for particular NPSs could be noted (Table 1) suggesting some differences in the formation of the paste networks on cooling. NPS1 paste after 2 h showed higher T1 and T2, than these for NPS2. That observation rationalized an assumption that NPS1 paste after 2 h storing in spite of higher amylose content were less rigid than pastes of NPS2 and WPS and, in consequence, water molecules in the NPS1 paste could more freely rotate [41]. On storing the NPS2 and WPS pastes for 2 h the relaxation times, particularly T1 only slightly changed. The NPS2 paste showed the lowest T1 whereas the WPS paste had the lowest T2. Thus, on could assume that T2 decreased with amylose content in starch (Table 1). Relationships between T1 for particular pastes under study were close to the values of relative degree of crystallinity calculated involving diffractometry. The calculations for results collected for the pastes after 2 h storage gave DoCw declining from NPS1 to NPS2 [42].
Observed values for the relaxation times were typical for those collected when low frequency electromagnetic waves were applied [41, 43, 44]. These values varied with the time of storage of the pastes. In the first day, T1 for the NPS1 pastes declined suggesting reducing mobility of the water molecules due to a reconstruction of the paste network whereas at the same storage period T1 for the NPS2 and WPS increased. The NPS1 contain the most amylose. This biopolymer bound water molecules in this short time during storage. Moreover, both T1 and T2 taken at that storage period for WPS were considerably lower than these for NPS2 pointing to a different network structure of both those pastes. This explain main role of amylose in network forming. These changes in T1, dependent on the starch variety, followed changes in DoCw for those starches [42].
Relaxation times significantly changed on extension of the storage period to 90 days. The NPS1 pastes showed the longest relaxation times compared to the pasts of the other starches. It suggested that the NPS1 paste formed structures richer in the free water fraction, that is, structures containing particular water molecules surrounded with a coats of other water molecules [45]. Small declining T1 was not accompanied with any changes of T2 what could mean that on prolonged storage in the gel formed within first 1 day, dynamics of the water molecules did not changed anymore.
This was not a case for the NPS2 pastes. On their storage up to 90 days T1 and T2 declined perhaps due to a loss free water as the result of limiting mobility being a consequence of binding water in the paste network. In the WPS pastes relaxation times changed within the 30 days storage and then they stabilized delivering an evidence for the stabilization of the paste network structure. Comparison of the values of the relaxation times after 90 days storage led to a conclusion that in every paste water was evacuated from the polymer network nodes forming the fraction of free water. Additionally, large differences in the relaxation times for particular pastes pointed to differences in the modes of interactions between water and starch and between starch chains. Thus, on could state that long-term changes in particular pastes differed from one another. Variation of the relaxation times provided quantitative analysis of changes resulting from binding water and dynamics of the water molecules. The relaxation times collected employing low-field NMR allow an insight into rotational modes of the water molecules in the system.
In binary pastes of NPS1 with non-starchy hydrocolloids the mobility of the water molecules was substantially limited. Simultaneously, quantitative changes in the free and bound water molecules could be observed solely in the NPS1 – XG pastes (Fig. 2). In this case the monotonical increase of mean correlation times was observed. It suggested that considerable number of water molecules participated in the network formation. Shorter relaxation times compared to those in the pastes free of the non-starchy hydrocolloids likely resulted from the intervention of hydrogen bonds in building nodes of the paste networks.
Binary NPS2 – non-starchy hydrocolloid systems showed higher T1 values than these for pure NPS2 pastes. T2 for the binary paste of that starch with GG also increased whereas it remained unchanged in case of the corresponding gels with XG and AG. That finding might be an evidence for a weak starch – GG interactions as well as for a higher content of free water in that binary system as compared to the NPS2 paste. In the binary pastes of that starch with XG and AG dynamic properties of water in the paste did not change.
In WPS binary pastes both relaxation times measured after 2 h storage increased as compared to the pastes free of hydrocolloids. It delivered an argument that WPS did not interact with those hydrocolloids (Table 1).
Changes of T1 and T2 on storage of NPS1 – XG binary pastes were relatively small. It could be rationalized in terms of a high stability of the network and its resistance to retrogradation. In contrast to the behavior of T1 and T2 in these binary pastes, these parameters for the pastes with both remained hydrocolloids considerably changed on prolonged storage. T1 for the binary pastes of NPS1 with GG and AG decreased pointing to decreasing amount of free water in the pastes on prolonged time of their storage. The NPS1 binary paste with AG held more such water than the NPS1 – GG paste. Changes of T2 reflecting changes of molecular dynamics showed that after 1 day storage of binary pastes of NPS1 with GG and AG was significantly reduced. After 30 days storage T2 rose as a consequence of an increase in the mobility of the water molecules, that is, of increased syneresis. After the 90 days storage in the NPS1 binary paste with GG dynamics of the water molecules remained constant whereas in the relevant binary paste with AG the limitation of the water molecules mobility progressed. Thus, one could state that XG most efficiently limited retrogradation of starch and AG was least efficient in that respect. T1 and T2 of binary pastes of NPS2 with non-starch hydrocolloids declined on the storage showing that the water was successively arrested inside the paste network. Significant shortening of both relaxation times was observed just after 30 days what meant that in that period retrogradation progressed efficiently. These changes were least dynamic in the binary paste with XG manifesting that this paste was most stable on the storage, that is, it was most resistant to retrogradation. In the paste of NPS2 with AG T1 rose up to 90th day as a result of the change of the proportion of free and bound water. On storage, relevant T1and T2 monotonously declined with the storage time. Like in binary NPS2 pastes, these parameters for the WPS – XG binary pastes changed to a least extent. Likely that behavior was associated with binding water by XG rather than retarding retrogradation.
The rate of the relaxation processes in biological systems is controlled to a great extent by molecular mobility. Depending on the environment of water, in the biopolymer network which is formed its binding may involve either hydrogen or ionic bonds. Such binding allows free rotation of the water molecules around such bonds. It is also known that in such structures some water molecules are arrested in the nodes of the polymeric network. It significantly limits their dynamics.
In such biological systems as biopolymeric pastes including starch pastes of the concentration up to approximately 15%, usually one component of both relaxation times can be observed. It means that between molecules of water bound to macromolecule and free water a fast chemical exchange takes place. In such cases a mean time of the correlation can be determined. That parameter allows determination of the possibility of free rotation of the water molecules and its limited dynamics in the polymeric networks [46]. Mean correlation times, τc, can be derived from the relaxation times, T1 and T2 involving the system of the BPP equations (Eqs. 3 and 4) [47, 48]. This BPP relaxation rates 1/T1 and 1/T2 concern spin pair of protons.
$$ \frac{1}{T_1}=\frac{3}{10}\frac{\mu_0^2}{16{\pi}^2}\frac{\gamma^4{\mathrm{\hslash}}^2}{r_0^6}\left[\frac{\tau_c}{1+{\left(\varpi {\tau}_c\right)}^2}+\frac{4{\tau}_c}{1+{\left(2\varpi {\tau}_c\right)}^2}\right] $$
(3)
$$ \frac{1}{T_2}=\frac{3}{20}\frac{\mu_0^2}{16{\pi}^2}\frac{\gamma^4{\mathrm{\hslash}}^2}{r_0^6}\left[3{\tau}_c+\frac{5{\tau}_c}{1+{\left(\varpi {\tau}_c\right)}^2}+\frac{2{\tau}_c}{1+{\left(2\varpi {\tau}_c\right)}^2}\right] $$
(4)
where: μ0 is the magnetic permittivity in vacuum [m kg s−2 A−2], γ is a hygrometric coefficient [s−1 T−1], ℏ is the Planck constant divided by 2π [m2 kg s−1], and r0 is a distance between water protons [m].
The time-dependent changes of mean correlation times in analyzed starch pastes are presented in Fig. 1. Mean correlation times for stored samples showed that studied pastes distinguished from one another in molecular dynamics. NPS1 pastes were characterized with the shortest relaxation times indicating that in these pastes the water molecules had the best opportunity for rotation and that these pastes contained the most free water. It could be associated with the highest amylose content in that starch. It facilitated retrogradation of those pastes. Moreover, in the stored pastes the mean correlation times declined pointing to a successive release of the water molecules from the network. NPS2 formed polymeric structures for whose the mean correlation times significantly increased from the 10th day storage. Such behavior could result from obscuring molecular movements by a formation of stable solid state structures. In the WPS pastes dynamics of water molecules remained stable in time pointing to the stability of the relevant molecular systems.
Figures 2, 3 and 4 present variation of the mean correlation times in pastes of starches and their binary systems with non-starchy hydrocolloids.
Insight in the mean correlation times for binary NPS1 – hydrocolloid systems (Fig. 2) revealed that after the 1 day storing the admixture of non-starchy hydrocolloids increased that parameter in respect to that for the paste of NPS1 free of the admixture. It could point to binding water in the relevant pastes in the initial stage of the formation of the networks. After 30 days the mean correlation times in the pastes rose above those found for the paste free of hydrocolloids. It could mean that every hydrocolloid inhibited removal of the water molecules from the polymeric structures limiting their mobility. Such phenomenon could result from the formation of more compact structures within the pastes which resembled solid state structures.
In that system, XG limited rotation of the water molecules in time whereas AG substantially decreased direct values of the mean correlation time. It suggested that compared to the paste of NPS1 free of that hydrocolloid, AG added fluidity to the paste decreasing its viscosity.
In binary NPS2 pastes with hydrocolloids (Fig. 3) differences of the mean correlation time and associated with them differences of molecular dynamics of the water molecules in pastes could be observed just after the 30 day cool storing. After 90 days pastes of NPS2 with AG had the highest mean correlation time among those with XG, GG and free of hydrocolloid. Thus, the paste with AG bound most water. After 90 days, binary systems with XG and GG formed pastes of similar dynamics of the water molecules. However, it should be emphasized that on the prolonged storage, XG stabilized molecular movements to a highest extent.
Blending WPS with hydrocolloids influenced the mean correlation time of the corresponding pastes to a various extent (Fig. 4). In the WPS binary pastes with GG the mean correlation time rose fast with the storage time pointing to a successive building structures of the solid state character. Pastes of WPS with XG behaved similarly, however, after the 90 day storage their mean correlation time decreased providing an evidence for a weakening the structure caused by progressing retrogradation. Moreover, one could suppose that after 30 days, in the pastes with GG and after 90 days in the pastes with XG and GG their structure was stronger than that of the WPS paste free of hydrocolloids. The mean relaxation time for the paste of WPS with AG was always lower than that for the paste free of hydrocolloid suggesting that it was more fluidal and disposed with lower viscosity.