## 3 Results and Discussion
### Water Behavior
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Sample** & \(T_{1}\) **(ms)** & \(T_{21}\) **(ms)** & \(T_{22}\) **(ms)** & **(\(\tau_{c}\))\({}_{\text{U}}\)** & **(\(\tau_{c}\))\({}_{\text{D}}\)** \\ \hline \hline \multicolumn{6}{c}{} \\ \multicolumn{6}{c}{} \\ C, \(<\)132 \(\upmu\)m & 102.8 \(\pm\) 0.5 D,e & 2.7 \(\pm\) 0.2 A,c & 10.9 \(\pm\) 0.2 D,f & 5.78 \(\times\) 10\({}^{-8}\) & 2.59 \(\times\) 10\({}^{-8}\) \\
15\%, 80 \({}^{\circ}\)C & 109.5 \(\pm\) 0.4 A,a & 0.42 \(\pm\) 0.06 D,g & 16.5 \(\pm\) 0.4 B,b & 1.56 \(\times\) 10\({}^{-7}\) & 2.04 \(\times\) 10\({}^{-8}\) \\
30\%, 80 \({}^{\circ}\)C & 108.1 \(\pm\) 0.3 A,b & 0.48 \(\pm\) 0.05 D,g & 16.4 \(\pm\) 0.4 B,b & 1.45 \(\times\) 10\({}^{-7}\) & 2.03 \(\times\) 10\({}^{-8}\) \\
15\%, 120 \({}^{\circ}\)C & 106.1 \(\pm\) 0.8 B,c & 0.81 \(\pm\) 0.09 B,e & 18.1 \(\pm\) 0.6 A,a & 1.10 \(\times\) 10\({}^{-7}\) & 1.87 \(\times\) 10\({}^{-8}\) \\
30\%, 120 \({}^{\circ}\)C & 105.1 \(\pm\) 0.6 C,d & 0.65 \(\pm\) 0.10 C,f & 16.2 \(\pm\) 0.5 C,b & 1.22 \(\times\) 10\({}^{-7}\) & 2.01 \(\times\) 10\({}^{-8}\) \\ \hline \hline \multicolumn{6}{c}{} \\ \multicolumn{6}{c}{} \\ C, \(>\)132 \(\upmu\)m & 84.4 \(\pm\) 1.1 D,f & 0.39 \(\pm\) 0.06 D,g & 14.7 \(\pm\) 0.5 A,c & 1.42 \(\times\) 10\({}^{-7}\) & 1.84 \(\times\) 10\({}^{-8}\) \\
15\%, 80 \({}^{\circ}\)C & 106.8 \(\pm\) 0.5 B,c & 3.0 \(\pm\) 0.2 B,b & 10.8 \(\pm\) 0.3 D,f & 5.58 \(\times\) 10\({}^{-8}\) & 2.67 \(\times\) 10\({}^{-8}\) \\
30\%, 80 \({}^{\circ}\)C & 107.2 \(\pm\) 0.4 A,b,c & 2.54 \(\pm\) 0.06 C,d & 12.6 \(\pm\) 0.4 B,d & 1.36 \(\times\) 10\({}^{-7}\) & 2.01 \(\times\) 10\({}^{-8}\) \\
15\%, 120 \({}^{\circ}\)C & 106.2 \(\pm\) 0.5 C,c & 2.6 \(\pm\) 0.2 C,cd & 12.0 \(\pm\) 0.3 C,e & 6.00 \(\times\) 10\({}^{-8}\) & 2.48 \(\times\) 10\({}^{-8}\) \\
30\%, 120 \({}^{\circ}\)C & 106.3 \(\pm\) 0.4 C,c & 3.4 \(\pm\) 0.2 A,a & 12.1 \(\pm\) 0.3 C,e & 5.20 \(\times\) 10\({}^{-8}\) & 2.47 \(\times\) 10\({}^{-8}\) \\ \hline \hline \end{tabular}  
Different superscripts (A–D) in columns indicate significant differences between particle sizes, while different lower case (a–g) indicates significant differences within the analyzed parameter (\(p<\) 0.05).  
\end{table} 
Table 5: LF NMR relaxometry results. A linear relationship was found between the changes in the spin-lattice relaxation times (\(T_{1}\)) and the equilibrium water activity (a\({}_{\rm r}\)) (Figure 2). The increase in the value of a\({}_{\rm r}\) is due to the increase in the amount of bulk water fraction in relation to the amount of bound water fraction, which is manifested by an increase in the value of the \(T_{1}\) relaxation time. Relaxation times spin-lattice \(T_{1}\) and spin-spin \(T_{2}\) as the macroscopic parameters reflected mutual relations between bulk and bound water in the system (\(T_{1}\)) and its mobility (\(T_{2}\)). On the basis of the values of the relaxation times \(T_{1}\) and \(T_{2}\), the mean values of the correlation times (\(\tau_{\rm c}\)) were calculated. For this purpose, the system of BPP (Bloembergen-Purcell-Pond) equations [58] describing the relationship between the macroscopic relaxation times \(T_{1}\) and \(T_{2}\) and the microscopic average correlation time \(\tau_{\rm c}\) was analytically solved due to the parameter \(\tau_{\rm c}\). Mean correlation time \(\tau_{\rm c}\) allows for the determination of the possibility of free rotation of water molecules or their very limited dynamics in polymer networks [59]. The values of the spin-lattice \(T_{1}\) and spin-spin \(T_{2}\) relaxation times allowed the calculation of the mean correlation time (\(\tau_{\rm c}\)). It is a parameter that characterizes the rotational motion of water molecules. Since two fractions of protons were observed, the mean correlation time values for both fractions were determined (Table 5). Relationships between mean correlation time and intermediate water activity (a\({}_{\rm p}\)) were found, which is the result of a two-exponential increase in water activity over time [60].