Dependence of Crystallization Behavior of Interacting Telechelic Poly(butylene succinate) Oligomer on Molecular Weight

A large spherulite structure deteriorates the mechanical properties of crystalline polymers, and therefore various methods have been explored to increase primary nucleation density. Recently, chain-end modification has been proposed as an effective approach for regulating polymer crystal nucleation. However, the relevant nucleation mechanism still requires investigation. Therefore, in this work, 2-ureido-4[1H]-pyrimidinone (UPy) units, which can form stacks via quadruple hydrogen bonds with each other, are introduced as end groups for the preparation of interacting telechelic poly(butylene succinate) (PBS-UPy) oligomers with different molecular weights (Mns). The crystallization, especially the nucleation behavior of PBS-UPy, is studied in detail by comparing with the corresponding pre-polymer, the hydroxyl-terminal PBS (PBS-OH). The thermal properties of PBS-UPy exhibit similar Mn-dependent tendency to those of PBS-OH, but with weaker total crystallization rate. The spherulite growth rate is significantly reduced, whereas the primary nucleation density is highly promoted, after introducing UPy groups. Further investigation reveals that the mechanism of UPy stacks’ influence on nucleation ability changes from inhibition to promotion with respect to Mn. Even under an inhibition of nucleation ability, the final nucleation density is obviously increased because of a significant decline of the growth rate. In addition, the change in the impact of UPy stacks on nucleation ability is speculated to originate from the memory expression feasibility of ordered conformation in the melt during crystallization.


Introduction
Poly(butylene succinate) (PBS), as one of the promising and extensively investigated biodegradable aliphatic polyesters, exhibits a high melting point, excellent processing properties and thermal stability [1][2][3]. It possesses comparable thermal and mechanical properties to polyolefin [4,5] but has some drawbacks, including large spherulite structure (i.e., poor primary nucleation density) and low melt strength, which limit its versatile application [6,7].
Various methods have been carried out to overcome the drawbacks. Copolymerization by introducing comonomeric units can decrease the spherulite size of PBS by raising the randomness of the polymer chains [8]. However, the thermal properties including melting point and enthalpy are highly degraded at the same time [9,10]. On the other hand, the incorporation of nucleating agent is generally used to increase the nucleation density of PBS, so as to reduce spherulite size and shorten the process period [11][12][13][14]. While nucleating agents can improve the properties of PBS, some new problem might be introduced-for instance, the uneven distribution of nucleating agent in the polymer matrix would lead to increased embrittlement [12]. Therefore, the development of new strategies for PBS is 2. Experimental 2.1. Materials 1,4-Butanediol (BDO, AR grade), succinic acid (SA, AR grade), 2-amino-4-hydroxy-6-methylpyrimidine (UPy, AR grade), 1,6-hexyldiisocyanate (HDI, AR grade), dibutyltindilaurate (DBTD, AR grade), tetrabutyl titanate (TBT, AR grade) and silica were purchased from Shanghai Aladdin Industrial Inc. (Shanghai, China). Petroleum ether (AR grade), methanol (AR grade) and chloroform (AR grade, predried over molecular sieves) were purchased from Beijing Chemical Factory (Beijing, China). All reagents were used as received.

Synthesis of UPy-NCO
Synthesis of 2(6-isocyanatohexylaminocarbonylamino)-6-methyl-4[1H]pyrimidinone (UPy-NCO) was carried out according to the following procedure [23]: a solution of 0.10 mol UPy in 0.70 mol HDI was heated to 100 • C for reaction lasting 16 h. Then, petroleum ether was added and the resulting precipitate was filtered and further washed with more petroleum ether. The as-received white powder was dried at 50 • C in a vacuum oven for 48 h to remove any residual solvent and then stored in a dryer.

Synthesis of PBS-OH
Hydroxyl-terminated poly(butylene succinate) (PBS-OH) was synthesized by a twostep reaction of esterification and polycondensation in a molten state, as reported in a previous paper [24]. The ratio of diol/diacid was set constant at 1.5 to ensure the obtainment of PBS-OH, and the polycondensation time was adjusted to regulate the molecular weight. The products were purified through a procedure consisting of dissolution in chloroform and precipitation in excess cold methanol.

Synthesis of PBS-UPy
UPy-terminated PBS (PBS-UPy) was prepared by the following procedure: 5 mmol UPy-NCO was added into the 50 mL chloroform solution containing 1 mmol PBS-OH, followed by the addition of 2 drops of DBTD. The resulting solution was stirred at 60 • C for 16 h, and 2 g of silica and 1 drop of DBTD were added to the solution for further reaction lasting 1 h. Then, 50 mL more chloroform was added and the mixture was filtered. The clear solution was further centrifuged at 1000 rpm for 20 min to remove impurity and then precipitated in an excess amount of cold methanol. The precipitate was collected and dried in a vacuum oven at 50 • C for 2 days.

Characterization
The chain structures of all products were determined by a 1 H nuclear magnetic resonance ( 1 H NMR) spectrometer (JEOL, ECA-300M, Tokyo, Japan). Chloroform-d and tetramethylsilane (TMS) were used as the solvent and reference, respectively.
The Fourier-transform infrared (FTIR) spectroscopy was conducted using a Bruker Hyperion FTIR spectrometer (Karlsruhe, Germany). The number of scans was set at 32 and the wavenumber range was obtained from 4000 to 800 cm −1 .
Thermogravimetric analysis (TGA) was performed on a Shimadzu DTG-60 instrument (Kyoto, Japan). The samples with weight of~10 mg were heated from 40 • C to 550 • C at a rate of 10 • C/min with a nitrogen purge flow rate of 20 mL/min.
The thermal properties and melt memory effect of samples were investigated by a differential scanning calorimeter (DSC, NETZSCH 204 F1, Berlin, Germany) equipped with an intercooler as the cooling system under nitrogen atmosphere. The instrument was calibrated with indium and tin standards before use, and samples of~5 mg were used. In a non-isothermal procedure, the samples were first heated to 160 • C and held for 20 min to eliminate previous thermal history, and then cooled to 30 • C. Subsequently, the samples were reheated to 160 • C. The protocol for melt memory effect evaluation is as follows: samples were heated to 160 • C and held for 20 min, follow by being cooled to 30 • C and held for 2 min, then the samples were reheated to a set melting temperature (T s ) for 5 min, and afterwards cooled to 30 • C for 2 min. The protocol was repeated by changing the value of T s to get enough data for evaluation of the melt memory effect. The heating and cooling rates in all measurements were set at 10 • C/min.
The crystal structures of samples were detected using a Bruker D8 Focus X-ray diffractometer equipped with Cu K α radiation (λ = 0.154 nm) at room temperature. The 2θ scanning range was set as 5 • -30 • with a rate of 2 • /min. The measuring voltage and current were set at 40 kV and 200 mA.
The spherulite morphology and nucleation ability of samples were observed with a polarized optical microscope (POM, Leica DM-2500P, Wetzlar, Germany) equipped with a temperature-controlled hot-stage (Linkam, THMS600, Surrey, UK). The samples sandwiched between glass slides, with thickness of 10 µm, were melted at 160 • C for 5 min and then were fast switched to the desired temperatures for isothermal crystallization.

Chain Structure
The 1 H NMR spectra and peak identifications of PBS-OH and PBS-UPy chains are presented in Figure 1. In the 1 H NMR spectrum of PBS-OH, peaks a and b (located at 2.62 and 3.65 ppm, respectively) are assigned to protons in the CH 2 of succinate units and the CH 2 covalently linked to the terminal -OH groups [24]. Based on Equation (1), the number-average molecular weights (M n s) of PBS-OH samples were calculated and are tabulated in Table 1.
where "I" represents the integral intensity of peak in the 1 H NMR spectrum. The Mn of PBS-UPy is slightly higher than the counterpart of PBS-OH. Considering the polydispersity feature of polycondensation polymers and the fact that the reaction feeding ratio of UPy-NCO/PBS-OH was sufficiently high, it is reasonable to conclude that the chain ends of PBS were completely terminated with UPy units in the as-prepared PBS-UPy. To facilitate the subsequent description, the samples are discriminatively named by referring to their Mns. To further confirm the chemical structure of PBS-UPy, FTIR spectra of PBS-OH, UPy-NCO and PBS-UPy were collected for comparison. As shown in Figure 2, PBS-OH does not show an FTIR absorption band in the wavenumber range 1700-1500 cm -1 , while new  Three peaks located at 10.10, 11.92 and 13.11 ppm are ascribed to the characteristic protons in the terminal UPy units [23]. Consequently, the M n s of PBS-UPy samples were calculated and are listed in Table 1 according to Equation (2).
where "I" represents the integral intensity of peak in the 1 H NMR spectrum. The M n of PBS-UPy is slightly higher than the counterpart of PBS-OH. Considering the polydispersity feature of polycondensation polymers and the fact that the reaction feeding ratio of UPy-NCO/PBS-OH was sufficiently high, it is reasonable to conclude that the chain ends of PBS were completely terminated with UPy units in the as-prepared PBS-UPy. To facilitate the subsequent description, the samples are discriminatively named by referring to their M n s.
To further confirm the chemical structure of PBS-UPy, FTIR spectra of PBS-OH, UPy-NCO and PBS-UPy were collected for comparison. As shown in Figure 2, PBS-OH does not show an FTIR absorption band in the wavenumber range 1700-1500 cm −1 , while new absorption bands at 1669, 1588 and 1527 cm −1 appear in PBS-UPy. The three bands are respectively assigned to the characteristic C=O stretching, C=C stretching and N-H bending vibrations of UPy [25,26], which are also observed in the FTIR spectrum of UPy-NCO. The wavenumber positions of C=O stretching and N-H blending also confirm the formation of quadruple hydrogen bonds among UPy groups [16][17][18][19]. The slight shifting behavior of absorption bands between PBS-UPy and UPy-NCO indicates the different chemical environment and proves that the as-obtained PBS-UPy was not a simple blend between PBS-OH and UPy-NCO. Therefore, we conclude that telechelic PBS chains with interacting UPy end groups were obtained.
Crystals 2021, 11, x FOR PEER REVIEW 5 of 12 absorption bands at 1669, 1588 and 1527 cm -1 appear in PBS-UPy. The three bands are respectively assigned to the characteristic C=O stretching, C=C stretching and N-H bending vibrations of UPy [25,26], which are also observed in the FTIR spectrum of UPy-NCO. The wavenumber positions of C=O stretching and N-H blending also confirm the formation of quadruple hydrogen bonds among UPy groups [16][17][18][19]. The slight shifting behavior of absorption bands between PBS-UPy and UPy-NCO indicates the different chemical environment and proves that the as-obtained PBS-UPy was not a simple blend between PBS-OH and UPy-NCO. Therefore, we conclude that telechelic PBS chains with interacting UPy end groups were obtained. Before the investigation of the crystallization behavior of PBS-UPy, it is important to become clear on the thermal stability, though it is known that PBS-OH (or PBS) has a thermal degradation temperature higher than 200 °C [27]. Hence, a TGA analysis of PBS-UPy was carried out ( Figure 3). The PBS-UPy samples showed comparable or even better thermal stability, as they displayed a higher T5% (the temperature at a weight loss of 5%) than PBS-OH. Therefore, it is suitable to study the thermal properties of PBS-OH and PBS-UPy in the temperature range not exceeding 160 °C, which was used to eliminate the thermal history of samples here.  Before the investigation of the crystallization behavior of PBS-UPy, it is important to become clear on the thermal stability, though it is known that PBS-OH (or PBS) has a thermal degradation temperature higher than 200 • C [27]. Hence, a TGA analysis of PBS-UPy was carried out ( Figure 3). The PBS-UPy samples showed comparable or even better thermal stability, as they displayed a higher T 5% (the temperature at a weight loss of 5%) than PBS-OH. Therefore, it is suitable to study the thermal properties of PBS-OH and PBS-UPy in the temperature range not exceeding 160 • C, which was used to eliminate the thermal history of samples here. absorption bands at 1669, 1588 and 1527 cm -1 appear in PBS-UPy. The three bands are respectively assigned to the characteristic C=O stretching, C=C stretching and N-H bending vibrations of UPy [25,26], which are also observed in the FTIR spectrum of UPy-NCO. The wavenumber positions of C=O stretching and N-H blending also confirm the formation of quadruple hydrogen bonds among UPy groups [16][17][18][19]. The slight shifting behavior of absorption bands between PBS-UPy and UPy-NCO indicates the different chemical environment and proves that the as-obtained PBS-UPy was not a simple blend between PBS-OH and UPy-NCO. Therefore, we conclude that telechelic PBS chains with interacting UPy end groups were obtained. Before the investigation of the crystallization behavior of PBS-UPy, it is important to become clear on the thermal stability, though it is known that PBS-OH (or PBS) has a thermal degradation temperature higher than 200 °C [27]. Hence, a TGA analysis of PBS-UPy was carried out ( Figure 3). The PBS-UPy samples showed comparable or even better thermal stability, as they displayed a higher T5% (the temperature at a weight loss of 5%) than PBS-OH. Therefore, it is suitable to study the thermal properties of PBS-OH and PBS-UPy in the temperature range not exceeding 160 °C, which was used to eliminate the thermal history of samples here.

Non-Isothermal Crystallization
To investigate the effect of M n on the crystallization behavior of telechelic polymers of PBS-UPy, conventional non-isothermal DSC characterization was carried out at a rate of 10 • C/min. As shown in Figure 4A and Table 2, the crystallization peak temperature (T c ) of PBS-UPy decreased with the decrease of M n , displaying the same changing tendency as PBS-OH. The decline of the total crystallization rate could be attributed to the increase of end-group Crystals 2021, 11, 1530 6 of 12 defect, and similar phenomena have been commonly observed in other polymers [17,19]. The T c and crystallization enthalpy (∆H c ) of PBS-UPy were apparently lower than the counterpart values of PBS-OH, revealing that the interaction of hydrogen bonding between UPy end groups imposed rather strong confinement on the crystallization of PBS backbones. The gap of T c for the counterparts with the highest M n (∆T c = 70.5 − 57.5 = 13 • C) was smaller than that of the counterparts with the lowest M n (∆T c = 57.5 − 41.6 = 15.9 • C) as a result of the weaker confinement action on the longer chains.
To investigate the effect of Mn on the crystallization behavior of telechelic polymers of PBS-UPy, conventional non-isothermal DSC characterization was carried out at a rate of 10 °C/min. As shown in Figure 4A and Table 2, the crystallization peak temperature (Tc) of PBS-UPy decreased with the decrease of Mn, displaying the same changing tendency as PBS-OH. The decline of the total crystallization rate could be attributed to the increase of end-group defect, and similar phenomena have been commonly observed in other polymers [17,19]. The Tc and crystallization enthalpy (ΔHc) of PBS-UPy were apparently lower than the counterpart values of PBS-OH, revealing that the interaction of hydrogen bonding between UPy end groups imposed rather strong confinement on the crystallization of PBS backbones. The gap of Tc for the counterparts with the highest Mn (ΔTc = 70.5 − 57.5 = 13 °C) was smaller than that of the counterparts with the lowest Mn (ΔTc = 57.5 − 41.6 = 15.9 °C) as a result of the weaker confinement action on the longer chains. During the subsequent heating process, the melting temperatures (Tm) of both PBS-UPy and PBS-OH series increased with the increase of Mn ( Figure 4B). However, the degree of change was lower in the PBS-UPy series than that in the PBS-OH series. This could also have stemmed from the confinement effect of hydrogen-bonding interaction between UPy units, hindering the re-crystallization process and lamellar thickening of PBS chains during heating. Therefore, the incorporation of interacting UPy as end groups obviously suppressed the total crystallization ability of PBS oligomer with a molecular weight of several thousand g/mol. Table 2. Crystallization peak temperatures (Tc), crystallization enthalpy (∆Hc), melting temperatures (Tm) and melting enthalpy (∆Hm) of PBS-OH and PBS-UPy samples during the melt-cooling and reheating process with a rate of 10 °C/min. The enthalpy values of PBS-UPy samples were obtained by dividing the as-measured enthalpies by the mass fraction of PBS in PBS-UPy.

Sample
Tc (

Crystalline Structure and Morphology
PBS is a kind of polymorphic polymer [28], thus the crystal modification of PBS-UPy was determined by comparing it to PBS-OH. It is clear in Figure 5 that all melt-crystallized   During the subsequent heating process, the melting temperatures (T m ) of both PBS-UPy and PBS-OH series increased with the increase of M n ( Figure 4B). However, the degree of change was lower in the PBS-UPy series than that in the PBS-OH series. This could also have stemmed from the confinement effect of hydrogen-bonding interaction between UPy units, hindering the re-crystallization process and lamellar thickening of PBS chains during heating. Therefore, the incorporation of interacting UPy as end groups obviously suppressed the total crystallization ability of PBS oligomer with a molecular weight of several thousand g/mol.

Crystalline Structure and Morphology
PBS is a kind of polymorphic polymer [28], thus the crystal modification of PBS-UPy was determined by comparing it to PBS-OH. It is clear in Figure 5 that all melt-crystallized PBS-UPy samples adopted the same α-form crystal modification as PBS-OH, exhibiting four main peaks at 2θ = 19.7 • , 22.1 • , 22.9 • and 29.0 • , which are respectively assigned to the diffraction signals of (020), (021), (110) and (111) crystallographic planes. The UPy end groups did not change the crystal modification. Besides, the PBS-UPy samples showed an additional weak peak at around 2θ = 8.8 • , whose intensity decreased with respect to the M n of PBS oligomers. The new diffraction peak is attributed to the interplanar distance of stacked UPy groups driven by the hydrogen-bonding interaction between cytosine alkene protons and carbonyl moieties of neighboring cytosine molecules [17]. The stacks of UPy units would provide a confinement environment for PBS chains, and thus depress their crystallization ability, as revealed in DSC.
PBS-UPy samples adopted the same α-form crystal modification as PBS-OH, exhibiting four main peaks at 2θ = 19.7°, 22.1°, 22.9° and 29.0°, which are respectively assigned to the diffraction signals of (020), (021), (110) and (111) crystallographic planes. The UPy end groups did not change the crystal modification. Besides, the PBS-UPy samples showed an additional weak peak at around 2θ = 8.8°, whose intensity decreased with respect to the Mn of PBS oligomers. The new diffraction peak is attributed to the interplanar distance of stacked UPy groups driven by the hydrogen-bonding interaction between cytosine alkene protons and carbonyl moieties of neighboring cytosine molecules [17]. The stacks of UPy units would provide a confinement environment for PBS chains, and thus depress their crystallization ability, as revealed in DSC. The crystalline morphology of all six samples is depicted in Figure 6, though UPy stacks hindered the crystallization ability of PBS (Figure 4). The primary nucleation density significantly increased in PBS-UPy samples in comparison with the corresponding PBS-OH. Consequently, the PBS-UPy samples crystallized into much smaller spherulites. The confinement effect of UPy stacks on PBS chains should be the promoting origin for nucleation density. However, the nucleation density of PBS-UPy showed similar Mn-dependent tendency as PBS-OH-that is, the degree of promotion increased as the confinement effect weakened. Therefore, the value of Mn seems to play an essential and complicated role in the specific conflict phenomenon of PBS-UPy, hindering crystallization rate versus improving primary nucleation density. The crystalline morphology of all six samples is depicted in Figure 6, though UPy stacks hindered the crystallization ability of PBS (Figure 4). The primary nucleation density significantly increased in PBS-UPy samples in comparison with the corresponding PBS-OH. Consequently, the PBS-UPy samples crystallized into much smaller spherulites. The confinement effect of UPy stacks on PBS chains should be the promoting origin for nucleation density. However, the nucleation density of PBS-UPy showed similar M n -dependent tendency as PBS-OH-that is, the degree of promotion increased as the confinement effect weakened. Therefore, the value of M n seems to play an essential and complicated role in the specific conflict phenomenon of PBS-UPy, hindering crystallization rate versus improving primary nucleation density.
PBS-UPy samples adopted the same α-form crystal modification as PBS-OH, exhibiting four main peaks at 2θ = 19.7°, 22.1°, 22.9° and 29.0°, which are respectively assigned to the diffraction signals of (020), (021), (110) and (111) crystallographic planes. The UPy end groups did not change the crystal modification. Besides, the PBS-UPy samples showed an additional weak peak at around 2θ = 8.8°, whose intensity decreased with respect to the Mn of PBS oligomers. The new diffraction peak is attributed to the interplanar distance of stacked UPy groups driven by the hydrogen-bonding interaction between cytosine alkene protons and carbonyl moieties of neighboring cytosine molecules [17]. The stacks of UPy units would provide a confinement environment for PBS chains, and thus depress their crystallization ability, as revealed in DSC. The crystalline morphology of all six samples is depicted in Figure 6, though UPy stacks hindered the crystallization ability of PBS (Figure 4). The primary nucleation density significantly increased in PBS-UPy samples in comparison with the corresponding PBS-OH. Consequently, the PBS-UPy samples crystallized into much smaller spherulites. The confinement effect of UPy stacks on PBS chains should be the promoting origin for nucleation density. However, the nucleation density of PBS-UPy showed similar Mn-dependent tendency as PBS-OH-that is, the degree of promotion increased as the confinement effect weakened. Therefore, the value of Mn seems to play an essential and complicated role in the specific conflict phenomenon of PBS-UPy, hindering crystallization rate versus improving primary nucleation density. As the polymer total crystallization rate consists of primary nucleation and spherulite growth rate (G), the values of G were measured during isothermal crystallization processes. From the data plotted in Figure 7, it is confirmed that the G declined with the decrease of M n in both PBS-UPy and PBS-OH series, and that of PBS-UPy was much lower than that of PBS-OH. For example, the G of PBS-UPy-1.1k was as low as 0.08 µm/s and only about one-twentieth that of PBS-OH-1.0k at 85 • C. The dependence of the decline of G on M n after introducing UPy end groups was consistent with the aforementioned DSC result (i.e., the lower the M n of the PBS chain, the stronger the restriction of interacting UPy stacks on spherulite growth ), which plausibly stems mainly from the inhibition of the diffusion ability of PBS chains in the melt. As the polymer total crystallization rate consists of primary nucleation and spherulite growth rate (G), the values of G were measured during isothermal crystallization processes. From the data plotted in Figure 7, it is confirmed that the G declined with the decrease of Mn in both PBS-UPy and PBS-OH series, and that of PBS-UPy was much lower than that of PBS-OH. For example, the G of PBS-UPy-1.1k was as low as 0.08 μm/s and only about one-twentieth that of PBS-OH-1.0k at 85 °C. The dependence of the decline of G on Mn after introducing UPy end groups was consistent with the aforementioned DSC result (i.e., the lower the Mn of the PBS chain, the stronger the restriction of interacting UPy stacks on spherulite growth ), which plausibly stems mainly from the inhibition of the diffusion ability of PBS chains in the melt.

Nucleation Behavior and Melt Memory Effect
Although UPy stacks suppressed the total crystallization ability and spherulite growth rate, the confinement effect promoted the primary density of PBS. Yet, at the same time, Figure 6 shows that the weakening of confinement benefited the primary nucleation density. Therefore, the effect of UPy stacks on the nucleation of PBS-UPy oligomer is quite complicated and needs detailed investigation. The amounts of spherulites were counted at different times while the samples were being isothermally crystallized at various temperatures. The normalized data are plotted in Figure 8. The steady-state nucleation rate (Jst) and the introduction period before nucleation (tind) were calculated by fitting the relationship between the volume-based nucleus density (NV(t)) at a specific time (t) using Equation (3) [29]. The results are summarized in Table 3. For the counterparts of PBS oligomers with the lowest Mn, the PBS-UPy-1.1k showed both lower Jst and longer tind than PBS-OH-1.0k. Therefore, the UPy stacks not only inhibited the spherulite growth but also weakened the nucleation ability of PBS. The higher nucleation density of PBS-UPy-1.1k in comparison to PBS-OH-1.0k was due to the significant reduction of spherulite growth rate after introducing UPy units, which needed much more time to finish the crystallization, thus providing more opportunity for the occurrence of primary nucleation. The longer tind values of PBS-UPy-1.1k also reveal the suppression of nucleation ability. A similar conclusion can be drawn based on the results of the counterparts of PBS-OH-2.1k and PBS-UPy-2.6k.

Nucleation Behavior and Melt Memory Effect
Although UPy stacks suppressed the total crystallization ability and spherulite growth rate, the confinement effect promoted the primary density of PBS. Yet, at the same time, Figure 6 shows that the weakening of confinement benefited the primary nucleation density. Therefore, the effect of UPy stacks on the nucleation of PBS-UPy oligomer is quite complicated and needs detailed investigation. The amounts of spherulites were counted at different times while the samples were being isothermally crystallized at various temperatures. The normalized data are plotted in Figure 8. The steady-state nucleation rate (J st ) and the introduction period before nucleation (t ind ) were calculated by fitting the relationship between the volume-based nucleus density (N V (t)) at a specific time (t) using Equation (3) [29]. The results are summarized in Table 3. For the counterparts of PBS oligomers with the lowest M n , the PBS-UPy-1.1k showed both lower J st and longer t ind than PBS-OH-1.0k. Therefore, the UPy stacks not only inhibited the spherulite growth but also weakened the nucleation ability of PBS. The higher nucleation density of PBS-UPy-1.1k in comparison to PBS-OH-1.0k was due to the significant reduction of spherulite growth rate after introducing UPy units, which needed much more time to finish the crystallization, thus providing more opportunity for the occurrence of primary nucleation. The longer t ind values of PBS-UPy-1.1k also reveal the suppression of nucleation ability. A similar conclusion can be drawn based on the results of the counterparts of PBS-OH-2.1k and PBS-UPy-2.6k.
9 of 12 without the memory effect-is different from that in crystalline structure, and still needs to be regulated in order to realize crystallization. Consequently, when the melt memory effect (i.e., confinement strength) is too strong, regulation of the pre-existing ordered conformation in the melt would become rather difficult, which is unfavorable for crystallization. For example, in PBS-UPy-1.1k and PBS-UPy-2.6k samples, the restriction of UPy stacks on PBS chains was sufficiently strong that the melt memory of the crystalline sample after melting could not be re-expressed as enhancing the nucleation behavior.    When comparing PBS-UPy-4.5k with PBS-OH-4.4k, it is found that the incorporation of UPy units improved the J st (e.g., 6.44 versus 2.75 at 95 • C) and shortened the t ind (e.g., 32 versus 106 at 95 • C), that is, the nucleation ability of PBS was improved. As the temperature was elevated to 100 • C, the hydrogen-bonded UPy stacks were destroyed [18] and the difference between two kinds of PBS reduced.
Our investigation of nucleation behavior suggests that the impact of UPy end groups on the changing of PBS' nucleation ability is M n -dependent. Generally, UPy units in a polymer matrix would aggregate and assemble into stacks via quadruple hydrogen bonds. The stacking of the end groups of PBS chains could limit the movement and diffusion of backbones, which helps polymer chains to keep some ordered conformation during and after melting. As a result, the melt memory effect would be enhanced, which usually presents as the promotion of nucleation ability (as seen with the PBS-UPy-4.5k sample). However, during crystallization, the conformation of polymer chains in melt-either with or without the memory effect-is different from that in crystalline structure, and still needs to be regulated in order to realize crystallization. Consequently, when the melt memory effect (i.e., confinement strength) is too strong, regulation of the pre-existing ordered conformation in the melt would become rather difficult, which is unfavorable for crystallization. For example, in PBS-UPy-1.1k and PBS-UPy-2.6k samples, the restriction of UPy stacks on PBS chains was sufficiently strong that the melt memory of the crystalline sample after melting could not be re-expressed as enhancing the nucleation behavior.
Furthermore, to evaluate the melt memory effect in the two series of PBS oligomers via a crystallization protocol, the samples were successively melted and crystallized in a DSC instrument by adjusting the self-nucleation temperature (T s ). The relevant cooling thermograms are presented in Figure S1 in the Supplementary Materials, and the "T s -T c " curves are shown in Figure 9. For PBS-UPy-4.5k, the self-nucleation phenomenon emerged when T s was lower than 140 • C. This transition temperature (T tr ) is higher than that of PBS-OH-4.4k at 130 • C. Thus, the as-concluded melt memory effect in PBS-UPy-4.5k was stronger than that in PBS-OH-4.4k. UPy stacks promoted the maintenance of an ordered conformation of PBS chains in the melt and enhanced the primary nucleation ability.
behavior at Ts of 115 °C. Therefore, for these two PBS-UPy samples, the plausible ordered conformation of PBS chains in the melt as restricted by UPy stacks could not be expressed as a melt memory effect through the crystallization process. The restriction delayed the chain mobility and acted in opposition to the transition of the pre-existing ordered conformation in the melt to a crystalline conformation, leading to the depression of nucleation ability.
Therefore, in the primary nucleation process, the balance between keeping an ordered conformation and the chain mobility of PBS-UPy was in the Mn range between 2.6 × 10 3 and 4.5 × 10 3 g/mol. When the Mn was higher, the ordered conformation could enhance the nucleation, and thus a better melt memory effect was observed. When the Mn was lower, due to the reduction of chain mobility, restriction became the major function; regulation of chain conformation, and thus the nucleation ability, were hindered. Therefore, the ordered conformation restricted by UPy stacks (i.e., memory in melt) could not be expressed via the crystallization process for PBS-UPy-1.0k and PBS-UPy-2.6k.

Conclusions
In this study, telechelic PBS oligomers with different Mn were synthesized by introducing UPy units to the chain ends, and their crystallization behaviors-especially nucleation processes-were studied in detail. The UPy stacks formed via quadruple hydrogen bonding suppressed the total crystallization rate of PBS-UPy in comparison with PBS-OH. The spherulite growth rate was significantly reduced, whereas the primary nucleation density was strongly promoted for PBS after replacing the OH end group with UPy. Further investigation of the nucleation behavior revealed that the mechanism for increasing the nucleation density of PBS after the introduction of UPy end groups changed with respect to Mn. When the Mn was low (e.g., 1.1 × 10 3 and 2.6 × 10 3 g/mol), both growth ability and nucleation ability were reduced due to the confinement effect of UPy stacks. The decline in the growth rate was much more obvious, providing more time and thus opportunity for the occurrence of primary nucleation, leading to a higher nucleation density. As the Mn increased to 4.5 × 10 3 g/mol, the nucleation ability was strengthened. Consequently, At lower M n , the T tr of PBS-UPy became lower than that of PBS-OH. PBS-UPy-2.6k and PBS-OH-2.1k started to show self-nucleation at T s of 120 • C and 125 • C, respectively. PBS-UPy-1.1k did not exhibit self-nucleation behavior, while PBS-OH-1.0k showed this behavior at T s of 115 • C. Therefore, for these two PBS-UPy samples, the plausible ordered conformation of PBS chains in the melt as restricted by UPy stacks could not be expressed as a melt memory effect through the crystallization process. The restriction delayed the chain mobility and acted in opposition to the transition of the pre-existing ordered conformation in the melt to a crystalline conformation, leading to the depression of nucleation ability.
Therefore, in the primary nucleation process, the balance between keeping an ordered conformation and the chain mobility of PBS-UPy was in the M n range between 2.6 × 10 3 and 4.5 × 10 3 g/mol. When the M n was higher, the ordered conformation could enhance the nucleation, and thus a better melt memory effect was observed. When the M n was lower, due to the reduction of chain mobility, restriction became the major function; regulation of chain conformation, and thus the nucleation ability, were hindered. Therefore, the ordered conformation restricted by UPy stacks (i.e., memory in melt) could not be expressed via the crystallization process for PBS-UPy-1.0k and PBS-UPy-2.6k.

Conclusions
In this study, telechelic PBS oligomers with different M n were synthesized by introducing UPy units to the chain ends, and their crystallization behaviors-especially nucleation processes-were studied in detail. The UPy stacks formed via quadruple hydrogen bonding suppressed the total crystallization rate of PBS-UPy in comparison with PBS-OH. The spherulite growth rate was significantly reduced, whereas the primary nucleation density was strongly promoted for PBS after replacing the OH end group with UPy. Further investigation of the nucleation behavior revealed that the mechanism for increasing the nucleation density of PBS after the introduction of UPy end groups changed with respect to M n . When the M n was low (e.g., 1.1 × 10 3 and 2.6 × 10 3 g/mol), both growth ability and nucleation ability were reduced due to the confinement effect of UPy stacks. The decline in the growth rate was much more obvious, providing more time and thus opportunity for the occurrence of primary nucleation, leading to a higher nucleation density. As the M n increased to 4.5 × 10 3 g/mol, the nucleation ability was strengthened. Consequently, the nucleation density increased. We speculate that the observed change from the inhibition to the promotion of nucleation for PBS-UPy with increasing M n can be explained as follows. At low molecular weight, chain mobility was reduced and the melt memory effect could not be expressed. At higher molecular weights the UPS stacks could limit the movement of polymer chains and the ordered confirmation of the melt could be preserved (the melt memory effect could be expressed), enhancing nucleation.

Data Availability Statement:
The data presented in this study are available on request from the corresponding author.