3. Results & Discussion
The initial as-spun nylon 5,6 fibers used in this study were produced under processing conditions of 8.47 g/min extrusion rate and a final take-up speed of 460 m/min. These conditions generally result in a semi-oriented state with relatively low crystallinity. However, X-ray diffraction measurements revealed that a well-defined γ-phase crystal structure was not present even under such low take-up speeds. This indicates that the as-spun fibers cannot be considered fully crystalline in the γ-phase, highlighting the need for a well-defined γ-phase reference sample to serve as a structural baseline for analyzing phase transformations during subsequent drawing. To this end, we fabricated unoriented film samples using the same nylon 5,6 material and conducted a quantitative analysis of their γ-phase crystal structure.
Figure 1a shows the two-dimensional WAXS pattern of the nylon 5,6 film measured in transmission mode. As expected, the unstretched film exhibits an isotropic ring pattern typical of a powder-like structure, confirming the absence of preferential chain orientation. This isotropic diffraction enables quantitative analysis of multiple crystal planes.
Figure 1b presents the one-dimensional diffraction profile extracted from
Figure 1a, along with peak fitting results. A total of nine diffraction peaks were resolved and modeled using Pearson VII functions, from which precise d-spacings were derived. Each peak was assigned to a specific reflection of the γ-phase crystal structure, enabling detailed structural characterization of the film.
Using the extracted d-spacing values, we refined the unit cell parameters to best fit the experimental data, based on γ-phase lattice constants reported in the literature [
10]. The ideal powder diffraction pattern calculated from the refined unit cell is shown in
Figure 1c, and the excellent agreement in peak positions (matching >99%) confirms the high structural fidelity of our γ-phase model.
Figure 1d compares the experimentally determined d-spacings with those calculated from the refined unit cell. The detailed numerical values—experimental and calculated scattering vectors (q), the corresponding d-spacings, and the deviations (Δd) together with the relative errors (%)—are summarized in
Table 1. All relative errors are within 1%, quantitatively validating the accuracy of the refined structural model. This analysis establishes a robust γ-phase reference, which provides a reliable baseline for interpreting phase transitions observed in drawn nylon 5,6 fibers.
Figure 2 presents the WAXS patterns and quantitative analyses of bio-based nylon 5,6 fibers subjected to ex situ stretching at two different drawing speeds (38 mm/min and 57 mm/min). Structural changes in the γ- and α-phases were examined based on the (004) diffraction plane, focusing on chain-axis alignment. In particular, the α/γ ratio shown in
Figure 2c corresponds to the intensity ratio of the α(004) to γ(004) reflections, providing a quantitative measure of the relative phase fractions along the chain axis.
As shown in the WAXS images in
Figure 2a,b, at 38 mm/min, the γ(004) reflection remained strong up to 60% draw ratio but abruptly disappeared at 80%, where a distinct α(004) peak emerged. In contrast, at 57 mm/min, the γ(004) signal began to decline from 40%, and α(004) appeared around 60%, though its intensity remained relatively weak thereafter. This suggests that although rapid drawing may trigger the phase transition earlier, it may lead to less complete crystal growth and chain ordering.
The quantitative analysis in
Figure 2c confirms this trend. At 38 mm/min, the α/γ ratio remained below 1 (0.83, α-phase fraction 45.5%) up to 60% drawing, indicating a γ-phase dominant structure, but sharply increased to 12.3 at 80%, corresponding to an α-phase fraction of 92.5%. In contrast, at 57 mm/min the α/γ ratio showed a more gradual increase, reaching 4.29 at 80% drawing with an α-phase fraction of 81.1%, indicating a smoother transition. These behaviors were fitted using an exponential function (Equation (1)):
Here, y denotes the crystalline ratio between the α- and γ-phases obtained from the integrated peak areas in Q-space; x is the applied post-drawing ratio (%) used as the strain variable; t is the fitting parameter that sets the characteristic strain scale of the transition (smaller t indicates a more rapid increase in the α/γ ratio with strain); A is the amplitude (scaling factor) of the exponential term; and y0 is a constant offset.
The resulting fitting parameter t was 4.36 for the slow drawing condition (38 mm/min), which is approximately one-seventh of that for the fast drawing condition (57 mm/min, t = 33.94). This indicates that the phase transition is significantly more sensitive to strain under slower drawing. The d-spacing of the γ(004) reflection also showed opposite trends depending on drawing speed. At 38 mm/min, it gradually increased with strain, likely reflecting a structural pre-transition toward the α-phase. In contrast, the d-spacing decreased at 57 mm/min, suggesting that under rapid stretching, the γ-phase rapidly collapsed before the pre-transitional state could be sufficiently captured.
Additionally, the off-meridional angle of the α(004) reflection indicates how far the α-phase crystals deviate from the fiber axis and is directly related to the β-angle of the monoclinic unit cell. Based on this relationship, the unit cell parameter
c was quantitatively calculated using the following equation:
This equation enabled the assessment of structural evolution along the chain direction (c-axis) under different drawing conditions. The initial c values were 28.0 Å for 38 mm/min and 28.5 Å for 57 mm/min, increasing to 30.2 Å and 29.3 Å at 80% drawing, respectively. These results indicate that greater chain-axis extension occurred under slower drawing, accompanied by enhanced alignment. These findings indicate that slow drawing allows sufficient time for polymer chains to align and organize into the α-phase, enabling both nucleation and growth. In contrast, fast drawing may induce the phase transition but limit the extent of structural development. This demonstrates that drawing speed plays a critical role not only in initiating the γ-to-α transition but also in determining the degree of crystalline ordering achieved.
Figure 3 presents in situ WAXS results obtained during uniaxial drawing at 90 °C, capturing real-time structural evolution of bio-based nylon 5,6 fibers. All data were acquired under constant temperature, ensuring that the observed structural changes directly reflect the effect of mechanical drawing, without thermal fluctuations.
As drawing progressed, the γ(004) reflection gradually weakened, but unlike in the ex situ experiments, it remained clearly visible even at the later stages of deformation. Notably, at 80% strain, the γ-phase was still dominant, and the α/γ crystalline ratio remained low. For 38 mm/min, the ratio was 0.93 at 60% strain (α-phase fraction 48.2%) and increased only to 1.49 at 80% (59.9%). For 57 mm/min, the α/γ ratio remained below 1.0 throughout, reaching only 0.76 at 80% strain with an α-phase fraction of 43.1%. This indicates that the γ-to-α structural transition proceeds much more slowly under in situ conditions compared to ex situ drawing.
The evolution of the γ(004) lattice spacing under in situ conditions exhibited a steady increase with strain for both drawing speeds, reflecting a typical lattice elongation behavior. As the strain approached 80%, this increase tended to plateau, suggesting saturation of molecular alignment along the chain direction (c-axis). This trend contrasts sharply with the non-monotonic γ(004) behavior observed under ex situ conditions in
Figure 2, implying that the latter includes additional effects such as thermal shrinkage and structural relaxation after drawing.
In contrast, the α(004) lattice spacing under in situ conditions showed a slight decrease with increasing strain, regardless of the drawing speed. This behavior, unaffected by post-drawing thermal treatment or cooling, reflects pure structural changes during deformation. The initially high α(004) spacing observed at 0% strain under 57 mm/min is attributed to limited signal accuracy, as the α-phase fraction was only 6.8% and heavily overlapped with the γ-phase reflections. Overall, both speed conditions showed a consistent trend of decreasing α(004) d-spacing, which can be interpreted as stress relaxation and molecular rearrangement within the α-phase during drawing.
Meanwhile, the off-meridional angle of the α(004) reflection gradually increased with strain, paralleling the decrease in α(004) d-spacing. Based on these values, the unit cell parameter c was calculated using Equation (2). The c-axis length increased from 28.7 Å to 31.5 Å for 38 mm/min, and from 28.6 Å to 31.1 Å for 57 mm/min, confirming progressive alignment of polymer chains along the fiber axis and structural development within the α-phase.
Unlike conventional equatorial analyses of polymer fibers, where the Crystal Perfection Index (CPI) is often applied to deconvolute crystalline and amorphous contributions [
22,
23], our meridional diffraction profiles did not show a distinct amorphous halo. This can be attributed to the processing conditions: even the as-spun fibers had already experienced an initial draw ratio of 2.55 during spinning, which promoted considerable γ-phase crystallization and reduced the amorphous signal. Accordingly, the structural evolution captured in this study is more appropriately described as a γ → α phase transition rather than crystallization from an amorphous state. Furthermore, our analysis focuses on the diffraction along the fiber axis, a direction that has been less frequently examined in previous studies compared to the conventional equatorial profiles. By using the (004) reflections in this orientation, the present work highlights the phase transition pathway from a chain-axis perspective, which provides important complementary insight into the structural evolution of odd–even nylons.
These findings suggest that the γ-to-α phase transition in nylon 5,6 fibers is not completed during the drawing process itself, but rather initiated through orientation and nucleation triggers. The full structural transformation and crystal growth likely proceed after drawing, once the mechanical stress is released. In other words, the structure observed during drawing represents a preparatory or partially transformed state, while the completion of phase transition depends strongly on post-drawing relaxation. This supports a two-step transition mechanism in which molecular alignment and phase transition are temporally decoupled in fiber drawing processes.
Figure 4 presents a comparison of the relative stability between the γ- and α-phases of nylon 5,6, based on unit cell structures proposed in previous studies, using density functional theory (DFT) calculations. As shown in
Table 2, the calculated lattice parameters closely match the reported reference values, confirming the accuracy of the structural modeling. Although the calculated potential energies fall within the range reported in the literature, some numerical differences may arise due to the use of updated functionals and basis sets. Nevertheless, the conclusion regarding the relative stability of the two phases remains consistent.
The calculated energy difference is approximately 4.3 kcal/mol, indicating that the α-phase is thermodynamically more stable than the γ-phase. Despite both phases exhibiting stable hydrogen bonding between adjacent chains, the lower energy of the α-phase suggests that ideal chain packing—such as extended trans conformations and linear chain alignment—plays a more critical role in determining phase stability than hydrogen bonding alone.
In particular, the α-phase exhibits a near-trans methylene backbone, except for slight deviations near the α-carbon adjacent to the amide group. The resulting hydrogen bonds are highly linear, with a bond length of ~1.90 Å and a bond angle of ~171°, forming a well-aligned hydrogen bonding network. In contrast, the γ-phase shows a shorter hydrogen bond length (~1.80 Å), but its twisted chain configuration results in a less linear hydrogen bonding arrangement.
Puiggalí et al. reported that distortions in bond angles and the topology of the hydrogen-bonding network are also critical factors in determining phase stability [
6]. In odd-methylene nylons, certain carbonyl groups form hydrogen bonds with two amide NH groups in different directions, giving rise to a bifurcated hydrogen-bonding network. Unlike an ideal linear arrangement, this topology alleviates the geometric constraints imposed by the odd-numbered methylene sequence and thereby contributes to lattice stabilization. Our DFT calculations were performed on the two structural models of nylon 5,6 proposed in this earlier work and are in good agreement with the reported geometries. From this perspective, the observed γ → α transition in our study can be interpreted as being stabilized not only by differences in hydrogen-bond length and linearity but also by the combined effects of bond angle distortions and hydrogen-bond network topology.
These structural differences provide a fundamental explanation for the energetically favorable transition from γ- to α-phase under the application of external energy such as drawing. Although the γ-phase is stable at ambient conditions, the alignment of polymer chains during drawing facilitates a phase transformation into the more stable α-phase. The experimentally observed γ → α transformation behavior in this study is in good qualitative agreement with these computational findings.
This structural evolution also has direct implications for the macroscopic properties of nylon 5,6 fibers. Our previous ex situ tensile tests demonstrated that fibers drawn at lower speeds (e.g., 37 mm/min) exhibited slightly higher tenacity than those drawn at higher speeds (57 mm/min), and the difference became more pronounced at higher draw ratios [
13]. In addition, density-gradient measurements under different draw ratios confirmed an increase in density with drawing [
24]. Such density increases can be primarily attributed to the crystallization of amorphous regions, which enhances the overall crystallinity of the fiber. At the same time, the α-phase (α-like structure in odd-methylene nylons) itself possesses a higher intrinsic crystal density than the γ-phase. Considering that one repeating chain unit corresponds to the chemical formula C
22H
22O
4N
4 with a molar mass of 406.44 g mol
−1, the theoretical crystal densities can be estimated from the unit cell parameters: 1.168 g cm
−3 for the γ-phase (577.90 Å
3, one chain per cell) and 1.274 g cm
−3 for the α-phase (1059.26 Å
3, two chains per cell). The combined effects of increased crystallinity and the stabilization of the intrinsically denser α-like phase provide the mechanistic basis for the observed improvements in tenacity and density of nylon 5,6 fibers.