3.1. Self-Nucleation of PBS
Figure 2 shows the results obtained after applying a standard self-nucleation procedure (
Figure 1). In this case, a cooling and heating rate of 10 K/s has been employed except in the final heating, in which 1000 K/s was used to avoid reorganization of crystals. The sample was kept at 0.1 s at the self-nucleation temperature. Under these conditions, the crystallization temperature was constant above
Ts temperatures equal to 118 °C. So, for temperatures equal or above 118 °C, the sample was in
Domain I or the
melting Domain [
2,
3,
4]. However, when the
Ts temperature was reduced to 117 °C or below, an increase in the crystallization temperature with respect to the standard crystallization temperature was observed, which marks the transition to
Domain II or the
self-nucleation Domain. The enhancement of the crystallization temperature comes from the presence of self-nuclei and self-seeds, which increase the nucleation density.
PBS crystals were molten at 109 °C according to the FSC results (
Figure 2), thus for temperatures above 109 °C there were no crystal fragments and consequently the increase of crystallization temperature in this region corresponded to the presence of self-nuclei; therefore, this temperature region is known as the
melt memory Domain or
Domain IIa [
4,
24], see
Figure 2c. For temperatures below 109 °C, there are some crystal fragments (evidenced by incomplete melting in the DSC trace) that act as self-seeds responsible for the increase in crystallization temperature. This
Ts temperature range is called
Domain IIb or the
self-seeding Domain [
4,
24], see
Figure 2c.
For self-nucleation temperatures equal or lower than 106 °C, if the subsequent heating scan is analyzed (
Figure 2b), an additional melting peak is observed (signaled by an arrow), which corresponds to the melting of annealed crystals. The lower melting peak corresponds to less stable crystals with thin lamellae whereas the higher melting temperature corresponds to recrystallized or annealed crystals. During annealing the crystals reorganize and form more stable crystals, with thicker lamellae, which results in higher melting temperatures [
33]. In
Figure 2b a shift of the melting peak to higher temperatures is observed, in the case of the measurement in
Domain III the lowest melting peak was considered (the highest melting peak corresponds to annealed crystals, as mentioned before). This shift resulted from the crystallization of the material at higher temperatures when cooling from
Ts, which led to crystals with thicker lamellae and thus, higher melting peaks. Summarizing, at temperatures equal or below 106 °C, the sample is in
Domain III or the
self-nucleation and annealing Domain [
2,
3,
4].
Melt memory effects are considered to have a kinetic nature, since the temperature regions of the different
Domains depend on the conditions employed to perform the experiment [
2,
3,
4]. Although some aspects, such as the effect of time spent at
Ts temperature [
3,
7,
14,
15,
16], have attracted attention in the literature, other aspects, such as the effect of cooling and heating rates have not been studied. In the following sections, the different parameters that affect the
self-nucleation Domains are studied systematically to provide new insights into the control of melt memory effects by taking advantage of its kinetic nature.
3.2. Effect of Time Spent at the Self-Nucleation Temperature
Concerning the time effect on melt memory, different behaviors have been reported in the literature [
3,
5,
6,
7,
14,
15,
16]. In a recent paper published by some of us [
4], it is concluded that depending on the temperature range, different trends can be observed: for materials in
Domain III, no effect of time has been observed. For samples in
Domain IIb no effect of time or a slight reduction of crystallization temperature has been reported. Finally, for samples in
Domain IIa, near
Domain I, increasing the time spent at
Ts temperature, a reduction of crystallization temperature back to the standard crystallization temperature was reported. This means that when the sample is kept for long times at the right
Ts temperature (in
Domain IIa, near
Domain I), it is possible to erase all the self-nuclei, only if the temperature is close to
Domain I. All these works have focused on the erasure of melt memory effects by increasing the time spent at
Ts temperatures and analyzing if the crystallization temperature is reduced due to the “dissolution” of self-nuclei or self-seeds.
In this work, we studied the effect of time on crystallization temperature by varying the time from 0.1 to 300 s, for two selected
Ts temperatures that belong to
Domain II: the lowest one corresponded to
DIIb, and the highest one to
DIIa.
Figure 3b shows that for the lowest
Ts, the crystallization temperature is kept constant and independent of the time spent at
Ts. For the high
Ts temperature, there are some small variations, although a specific trend cannot be observed.
Figure 3c shows a plot of crystallization temperature versus
Ts, for two different holding times at the different
Ts values. The results superpose quite well, showing that there was no effect of time, in the range explored in this work, on the crystallization temperature.
It should be highlighted that in literature, only the effect of time on the subsequent crystallization temperature has been studied, but the effect of time on the transition temperature between self-nucleation Domains has not been reported. From a practical point of view, it is more interesting to study how keeping the sample for a very short time at a Ts temperature, following the procedures involved in industrial processing, can alter the melt memory effect.
Figure 4b shows the transition temperatures between different
Domains when the sample was kept at the self-nucleation temperature between 0.1 and 300 s. The transition temperature between
Domain I and
Domain II, i.e., temperature of the self-nuclei’s ultimate stability, did not change with the time spent at
Ts temperature for the range of times analyzed in this work. On the other hand, the transition temperature between
Domain II and
Domain III increased with the time spent at
Ts. This means that when the sample is kept at
Ts for short times, lower temperatures are required to produce annealing of the crystal, because the short times spent at this temperature are not enough to anneal the small crystals that are left unmolten at this temperature.
In
Figure 4b, the temperature corresponding to the end of the melting endotherm was also displayed in the plot. It can be observed that this
Tm,end was maintained constant or at least the variation was within 1 °C. For times below 100 s, the transition temperature between
Domain II and
Domain III was lower than
Tm,end, which is the usual behavior reported for a wide range of materials and measured with conventional DSC. The light blue area between
Tm,end and the transition temperature between
Domain II and
Domain III reflects the temperature range corresponding to
Domain IIb, in which there are some crystal fragments (i.e., self-seeds) that are the responsible for the increment in nucleation density. However, for the sample that was kept for 300 s at
Ts, the transition to
Domain II occurs at about 1 °C higher than
Tm,end; this is an unusual behavior that may result from the high heating and cooling rates employed.
Figure 4c illustrates how the width of
Domain II,
Domain IIa and
Domain IIb vary as a function of the time spent at
Ts. The width of
Domain II reduced with the time spent at
Ts due to the shift of the transition temperature between
Domain II and
Domain III to higher temperatures. In this case, the width of
Domain II varied from 11 °C for 0.1 s holding time at
Ts to 7 °C for 300 s. This indicates that it is possible to fine tune the width of the
melt memory Domain by varying the time spent at
Ts. This result implies that it would be possible to take advantage of this effect to reduce the time needed to process a polymer part.
3.3. Effectiveness of Self-Nuclei with Varying Cooling Rate
When self-nuclei and/or self-seeds are produced in the sample, their effectiveness could change depending on the cooling rate employed to generate them. To investigate this effect, the thermal procedure depicted in
Figure 5a was employed. In
Figure 5b, the transition temperature between
Domains is shown as a function of the cooling rate from the applied
Ts temperature.
The transition temperature between
Domain II and
Domain III kept constant for the studied cooling rate range (5–50 K/s) according to
Figure 5b. At higher cooling rates, the analysis of the results was complicated due to broadening of the crystallization peak. These results indicate that the annealed crystals (
DIII) formed at
Ts were not sensitive to the cooling rates employed.
However, the transition temperature between
Domain II (
self-nucleation Domain) and
Domain I (
melting Domain) was reduced by about 3 °C (
Figure 5b). To understand the mechanism lying behind this behavior, several parameters were considered.
Figure 5c shows that the
Domain II width was reduced from 7 to 4 °C when the cooling rate was increased from 10 to 50 K/s, nevertheless, the previous standard state (characterized with the melting enthalpy, which was directly correlated to the crystallinity level) was the same for all samples since only the cooling from
Ts was changed.
Figure 5d shows how the crystallization temperature obtained during cooling from
Ts, decreased with cooling rate, as expected.
The results presented in this section show that above a certain cooling rate there is a reduction in the width of
Domain II or
self-nucleation Domain. This means that at high cooling rates self-nuclei loose their effectiveness and lower
Ts temperatures are needed, i.e., a higher number of self-nuclei is required to induce an increase of the crystallization temperature. These results are in line with the ones reported by Jiang et al. [
33]. They performed isothermal crystallization experiments with PBS and ideally self-nucleated PBS. This means that they employed the lowest temperature within
Domain II, which can produce the maximum possible nucleation density without annealing (see ref. 3). Jiang et al. [
33] showed that for self-nucleated PBS, there is a maximum crystallization rate at a certain undercooling, while for higher undercooling the crystallization rate advantage compared to the non-self-nucleated polymer is reduced, which indicates that at very high undercooling self-nuclei can lose their effectiveness. This issue was addressed recently by Fernández d’Arlas et al. [
34] and Maiz et al. [
35], proving that self-nuclei and nucleating agents, can lose their effectiveness when very high cooling rates are used. According to Fernández d´Arlas et al. [
34] the self-nuclei are effective if the material, at the applied cooling rate, can undergo a significant crystallization process at high temperatures. The effect can be understood considering the higher nucleation density typically observed at lower crystallization temperatures, which demands for a higher number of self-nuclei (or nuclei induced by additives) to be present for their effect to be discernible.
As the crystallization peak broadened when the cooling rate was increased, which hindered an accurate analysis of the transition temperature between Domain I to Domain II, we decided to analyze the subsequent melting step after cooling the sample from the Ts temperature. Even if it is not possible to investigate the different Domains, we could consider the melting enthalpy of the final heating scan to ascertain if the self-nuclei left in the sample are effective in crystallizing the sample or if when high cooling rates are used an amorphous sample is obtained, and how this depends on the employed Ts temperature.
Figure 6a illustrates the thermal procedure employed, which was identical to that employed in the previous experiments (
Figure 5). The apparent heat capacity versus temperature curves (i.e., DSC heating scans) for the sample previously heated to
Ts = 119 °C are shown as a function of the cooling rate from the
Ts temperature, as an example, in
Figure 6b. The melting peak reduced with increasing the cooling rate; for a cooling rate equal to 200 K/s, the peak was really small, and above 500 K/s, there was no crystallization in the previous cooling step.
Figure 6c shows the melting enthalpy, which is directly correlated to the crystallinity level, as a function of cooling rate from
Ts for different
Ts temperatures. For slow cooling rates, independent of the
Ts to which the sample was heated, all the data show similar melting enthalpy, which means that during cooling from
Ts the sample was able to develop similar crystallinity. Nevertheless, when the cooling rate increased, significant differences in the melting enthalpy could be observed depending on which
Domain the sample was cooled from (considering the transition temperature between
Domains previously reported for a cooling rate from
Ts equal to 10 K/s).
When the sample was heated to
Domain I or to high temperatures within
Domain II at above 300 K/s, the sample was not able to crystallize, reaching melting enthalpy values below 1 × 10
−4 mJ, which was the lowest value obtained for this sample at the highest possible cooling rate, thus it was considered that this value corresponded to an amorphous sample. The presence of some self-nuclei, obtained by heating the sample to the high temperature region within
Domain II, were not able to increase the melting enthalpy, and similar values to the sample heated to
Domain I were obtained in
Figure 6c. However, when the sample was heated to the lowest temperatures within
Domain II, the presence of self-nuclei enhances the melting enthalpy when cooling rate was increased. For example, in the case of the sample heated to 116 °C, which is the lowest temperature within
Domain II, an enthalpy of 3 × 10
−3 mJ was obtained at 500 K/s cooling rate, whereas the sample heated to higher
Ts temperatures were completely amorphous or have a negligible enthalpy.
When the sample was heated to Ts temperatures that correspond to Domain III, in which the crystal fragments left (i.e., self-seeds) were able to anneal, it can be observed that for temperatures close to Domain II (e.g., Ts = 113 °C), the amount of those crystals was really low, since the enthalpy was 5 × 10−4 mJ. However, when lower Ts temperatures (e.g., Ts = 110 °C) were employed, the amount of molten crystals was small, observing only a slight reduction in the melting enthalpy at the highest cooling rate, which was practically negligible.
Overall, the experiments presented in this section show that the effectiveness of self-nuclei depends on the applied cooling rate. When only some self-nuclei were left, at temperatures within Domain II but close to Domain I, the results were the same as the sample cooled down from Domain I. When a higher number of self-nuclei and probably self-seeds were left, at low temperatures within Domain II, the melting enthalpy increased in comparison with the sample cooled from a homogenous melt state. From these results, it could be concluded that to have a significant increase in melting enthalpy, a high density of self-nuclei and self-seeds was required.
3.4. Effect of the Previous Standard State on the Self-Nucleation Domains: Varying the Cooling and Heating Rates
Considering the kinetic nature of self-nucleation, the temperature range corresponding to different
Domains should depend on the previously formed semicrystalline standard state. Although in literature, this has been mentioned in several works [
2,
3,
4], there are not very detailed studies focusing on how the semicrystalline standard state can affect self nucleation. Alamo et al. [
14,
36] have considered the effect of the crystallinity degree on melt memory for random ethylene 1-butene copolymers of different molecular weights. In order to create samples with different degrees of crystallinity, the samples were heated to different temperatures [
14] or they were isothermally crystallized at different temperatures [
36].
In this work, we analyzed the effect of the cooling rate from the isotropic melt (i.e., during this cooling, the standard semicrystalline state was formed) and the subsequent heating rate to
Ts on the
self-nucleation Domains, as a different method for the variation of the standard crystalline state. We employed three different rates: 10, 100 and 1000 K/s. The thermal protocol employed is depicted in
Figure 7a.
Figure 7b shows the width of
Domain II as a function of cooling rate. The samples were cooled from a
Ts = 160 °C (from the isotropic melt or
Domain I). It can be observed, that when the heating rate to
Ts was maintained constant at 10 K/s, the width of
Domain II did not change. From these results, we could conclude that the width of
Domain II was related to the melting enthalpy of the sample, and thus to the crystallinity level, when it was heated to the
Ts temperature, which was also constant (see
Figure 7c). When the sample was cooled down at 1000 K/s (
Figure 7b), during the subsequent heating at 10 K/s to the
Ts temperature, cold crystallization occurred, so when the sample reached the
Ts, the melting enthalpy was the same. However, when the sample was heated to the
Ts temperature at 1000 K/s a different behavior was observed, as a reduction of the width of
Domain II was observed from 4 to 0 °C. For a heating rate of 100 K/s to
Ts, an intermediate behavior was obtained in
Figure 7b, with a slight reduction of the width of
Domain II.
The reduction of
Domain II width in
Figure 7b is related to the decrease in the melting enthalpy, as can be seen in
Figure 7c, as the same trend is observed for both quantities. When high heating rates were employed to heat the sample to the
Ts temperature, the chains did not have enough time to reorganize and there was no cold crystallization, so a lower crystallinity degree (i.e., lower melting enthalpy) was obtained in comparison with the reference or standard conditions that corresponded to 10 K/s cooling/heating rate. If a vertical line is drawn in
Figure 7b, the effect of the heating rate to
Ts could be observed keeping constant the cooling rate from 160 °C. In all cases, the
Domain II width decreased when the heating rate increases, but the decrease was much higher at higher cooling rates.
Although the melting enthalpy was only considered, probably employing high cooling and heating rates the thickness of the crystals could also be reduced, and this should result in narrower Domain II since the melt memory effect could be erased without increasing too much the superheating, as the crystals are more metastable (i.e., thinner lamellae).
Chen et al. [
14] have studied the effect of crystallinity degree on random ethylene 1-butene copolymers with different molecular weights that contain 2.2% of branches. The authors observed that for copolymers with a low molecular weight, 16,000 g/mol, a crystallinity degree of 24.8% is required in order for the copolymers to show melt memory effects. However, increasing the molecular weight, the crystallinity degree required to obtain melt memory effects is reduced until 0.6% for the 420,000 g/mol sample. For random copolymers the origin of melt memory results from the complex topology formed in the melt, this topology hinders the diffusion of chain segments to obtain an isotropic or homogeneous melt. For samples with high molecular weight, a small amount of crystals was enough to result in melt memory since a high entanglement density was obtained, which hindered the “dissolution” of self-nuclei. On the contrary, for samples with low molecular weight, there is a low entanglement density, which facilitated the diffusion of chains and therefore the “dissolution” of self-nuclei.
In this work, a linear homopolymer was analyzed and, thus, the melt memory effect did not come from complex chain topologies but from the presence of intersegmental interactions between the chain segments that were forming the crystal. If the sample contained a higher amount of crystals, the number of interactions between the chain segments previously in the crystals was higher and thus resulted in larger melt memory effects.
Considering that the key parameter that determines the width of
Domain II is the melting enthalpy (i.e., crystallinity level) obtained during the subsequent heating to the
Ts temperature (after having created the standard semicrystalline state by cooling from the isotropic melt), it was decided to employ the same rates to cool down the sample from 160 °C and to subsequently heat it to the
Ts temperature for self-nucleation, with the aim of covering a wide range of melting enthalpies. The thermal procedure employed is shown in
Figure 8a. This procedure allowed us to obtain materials with enthalpies that cover 3 orders of magnitude, from 1 × 10
−2 to 1 × 10
−5 mJ.
The transition temperature between
Domains was reduced as the cooling/heating rate was increased, see
Figure 8b. For rates equal or above 500 K/s there was no
Domain II, and the sample went directly from
Domain I to
Domain III. In
Figure 8c, the width of
Domain II and the melting enthalpy, proportional to the crystallinity level, as a function of the heating/cooling rate are depicted. A drastic reduction of both parameters with the increase of cooling/heating rate can be observed. Our results demonstrated the importance of the melting enthalpy (directly proportional to the crystallinity degree) of the sample when it reached the
Ts temperature on the width of the
self-nucleation Domains.
3.5. Effect of the Previous Standard State on the Self-Nucleation Domains: Thickening of Crystals by Successive Self-Nucleation and Annealing (SSA)
With the aim of creating thicker crystals while increasing the crystallinity degree, the successive self-nucleation and annealing (SSA) technique, designed by Müller et al. [
37,
38] and recently reviewed [
39], was applied. The idea is to thermally fractionate the sample by SSA before melting the crystals produced, to see if the thickness and stability of the previously existing crystals influence the memory effects exhibited by the sample.
SSA is a thermal fractionation technique based on the application of a special thermal protocol that promotes molecular segregation during crystallization and annealing designed to fractionate the material by crystallizable sequence lengths. It is particularly sensitive to defects like branches along the chains, comonomer units, stereo-defects, etc. Once SSA is applied to a polymer sample, the final heating of the material shows several melting peaks, each one corresponding to a different thermal fraction. This distribution of melting points also reflects a distribution of lamellar thickness in the sample provoked by SSA thermal fractionation. This technique has been very useful to characterize ethylene/alfa-olefin copolymers, polypropylenes, block copolymers and more recently, segmented thermoplastic polyurethanes, recycled polyolefin blends, copolyesters and polysulfide based copolymers [
39,
40,
41,
42,
43,
44].
Thermal fractionation in homopolymers is based on the molecular fractionation due to differences in chain length and depends on their molecular weight dispersity and melt viscosity. The fractionation produced by SSA in linear crystallizable homopolymers without defects in their chains is less effective than with copolymers (or any polymeric material with intrachain defects). However, it can be used also to efficiently anneal polymeric crystals, since SSA technique consists of applying successive self-nucleation and annealing steps. The
Ts temperature was reduced by 5 °C in each step, so when
Ts was reduced, the crystals that were not able to melt underwent annealing. The success of the applied SSA procedure to PBS sample can be observed by analyzing the final heating scan (in orange in
Figure 9a), which shows the melting of the produced fractions, which corresponds to the melting of crystals of different lamellar thickness. The melting temperature of the highest melting fraction was higher than that of the sample summited to a standard non-isothermal crystallization procedure, as could be expected, which reflects that the procedure has been effective to anneal and thicken the crystals. We have previously shown that SSA could be effectively applied by fast scanning calorimetry [
45].
After applying SSA, the sample was heated to the selected
Ts temperature and kept at this temperature for 0.1 s. Each time that a new
Ts was analyzed, first the SSA protocol was applied to the sample: the thermal procedure employed is depicted in
Figure 9a. The crystallization temperature corresponding to each
Ts temperature on top of the melting endotherm is shown in
Figure 9b, in this plot the transition temperatures of the
Domains are shown as well. It is interesting to compare the results obtained applying the standard SN procedure (keeping the sample 0.1 s at
Ts temperature in both cases) and the SN procedure after SSA.
Figure 9c shows that when SSA was applied, self-nuclei survive until higher temperatures, 120 °C, in comparison with 117 °C for standard SN. The results can be explained by considering that SSA induced the formation of thicker crystals, which therefore require higher temperatures to transform to the isotropic melt state. Annealing of the crystals, i.e.,
Domain III, was observed as well at higher temperatures for samples submitted to SSA before SN, 114 °C, whereas when standard SN was applied
Domain III appeared at 106 °C. As expected, thicker crystals (which melt at higher temperatures) could anneal at higher temperatures.
From the final melting endotherms, the melting enthalpies obtained by both protocols were measured. When a standard SN procedure was applied during the heating to Ts temperature, the enthalpy was equal to 7.67 × 10−3 mJ, whereas when SSA was applied and then the sample was heated to Ts, the melting enthalpy was equal to 1.65 × 10−2 mJ, this means that SSA was very effective in increasing the crystallinity degree.
From the melting temperature it is possible to estimate the lamellar thickness employing the Gibbs-Thomson equation,
where
Tm0 is the equilibrium melting point,
σe is the chain folded surface free energy and
is the bulk enthalpy of melting per unit volume. For this equation the equilibrium melting point can be obtained considering a lamella with an infinite thickness, i.e., 1/l equal to 0 [
46,
47]. Considering the data obtained by Arandia et al. [
40] for the same PBS used in this work, the lamellar thickness of the PBS has been estimated when a standard SN procedure and SSA followed by SN procedure have been applied. For standard SN a melting point of 94 °C was obtained, which corresponded to an approximate lamellar thickness of 3.4 nm, whereas when SSA was applied a significant increase in lamellar thickness occurred, obtaining a lamellar thickness of 4.9 nm (melting point 111 °C). These results supported that the shift of the
Domains to higher temperatures for the sample that had undergone SSA procedure before SN corresponded to an increment of lamellar thickness and also to an increase in the degree of crystallinity.