Synthesis and Characterization of Copoly(Ether Sulfone)s with Different Percentages of Diphenolic Acid Units

New functionalized Poly(ether sulfone)s having different molar ratio (10, 20, 30, 50, 70, 100 mol%) of 4,4-bis phenoxy pentanoic acid unit (diphenolic acid; DPA) units were synthesized and characterized by (1H and 13C)-NMR, MALDI-TOF MS, FT-IR, DSC and DMA analyses. The microstructural analysis of the copolymers, obtained by 13C-NMR using an appropriate statistical model, shows a random distribution of copolymer sequences, as expected. The presence of different amount of DPA units along the polymer chains affects the chemical and physical properties of the copolymers. The Tg and the contact angle values decrease as the molar fraction of DPA units increases, whereas the hydrophilicity increases. NMR and MALDI-TOF MS analyses show that all polymer chains are almost terminated with hydroxyl and chlorine as end groups. The presence of cyclic oligomers was also observed by MALDI-TOF MS analysis.

synthesize copolymers with different molar composition. Their corresponding homopolymers were also synthesized at the same experimental conditions. As example, to prepare the copolymer P(ESESco-ESDPA) 50:50, equimolar amounts of DHDPS (10.89 g, 43.5 mmol) and DPA (12.45 g, 43.5 mmol) were solubilised in NMP (ratio 1:1,5 w/v) in a three necks round flask equipped with a magnetic stirrer, a dropping funnel, a nitrogen inlet and a reflux condenser. After that, 40 mL of toluene and a solution of K2CO3 (13.24 g, 95.8 mmol) in 50 mL of NMP were added and the mixture was heated, under stirring, at 170 °C until the water/toluene azeotrope distilled. In this way it is possible to definitively remove the water inside the reaction ambient. Thereafter, an anhydrous NMP solution (50 mL) of DCDPS (25.0 g, 87.0 mmol) was added to the reaction mixture and the temperature was raised and maintained at 180 °C for 3 h. During this reaction time the solution has took on a dark amber colour. Then, the reaction temperature was raised up to 195 °C and maintained at this temperature for 12 h; successively the temperature was lowered to 180 °C and the reaction was carried out for further 3 h. After that, the reaction mixture was cooled down to the room temperature and 10 mL of water solution of HCl (12 M) were added under stirring to protonate the pendant carboxyl groups. So, the polymer solution was added, drop by drop, into a 50:50 v/v water/methanol mixture (1.5 L), in order to obtain a fine light amber precipitate. The solution was filtered on a Buchner and then washed several times with cold methanol, finally the powder was dried at 110 °C under vacuum (10 Torr) overnight. To remove the low molar mass (MM) oligomers, the crude polymers were further purified by continuous extraction in a Soxhlet apparatus. THF, for either P(ESES) homopolymer and P(ESES-co-ESDPA) copolymers with a molar composition of ESDPA units from 10 up to 30 mol%, and ethyl ether, for the copolymers with an ESPDA molar composition higher than 30%, since these ones are not soluble in THF, were used. Purified copolymers were characterized by FT-IR, ( 1 H and 13 C)-NMR and MALDI-TOF MS methods. Either the P(ESES-co-ESDPA) copolymers 50:50 and 30:70, and the P(ESDPA homopolymers were analysed by SEC being soluble in THF. All extracted oligomers were characterized by MALDI-TOF MS and SEC analyses.  13 C-NMR 1 H-NMR and 13 C-NMR spectra of the whole set of synthesized homo and copolymers were obtained by a Bruker Advance 400 spectrometer (Milan, Italy). The analyses were performed at 50 • C at 40,013 MHz for protons and at 100 MHz for carbon analyses. Samples were dissolved in deuterated dimethyl sulfoxide (DMSO-d 6 ) at the concentration of 25 mg/mL. The chemical shifts and the assignments of the protons and carbons belonging to the polymer samples are summarized in Table 2.

MALDI-TOF MS
MALDI-TOF mass spectra of all polymers were recorded by a 4800 Proteomic Analyzer (Applied Biosystems, MA, USA) MALDI-TOF/TOF instrument equipped with a Nd:YAG laser at a wavelength of 355 nm with <500 ps pulse and 200 Hz firing rate, operating in reflectron mode. The accelerating voltage was 15 kV. External calibration was performed using an Applied Biosystems calibration mixture consisting of polypeptides with different molar mass values. The irradiance was maintained slightly above the threshold to obtain a mass resolution of about 3000-5000 fwhm. Mass accuracy was about 50 ppm. Several matrices: 1,8,9-anthracenetriol (dithranol); α-Cyano-4-hydroxycinnamic acid (CHCA); trans-2-[3-(4-tert-butylphenyl)-2-methyl-2-propenylidene]malononitrile (DCTB); trans-3-indoleacrylic acid (IAA)) were used to analyze the polymers samples synthetized. In the present work are reported the best mass spectra recorded using DCTB and IAA as matrices.

FT-IR
The FT-IR spectra were recorded by a Perkin-Elmer Instruments (Milan, Italy), the Spectrum One FT-IR Spectrometer having a lithium tantalate (LiTaO 3 ) single crystal detector. Polymer samples were analyzed as thin films obtained by electrospinning method. The spectra were acquired in the Middle Infrared (4000-400 cm −1 ) in modality ATR and processed through the software Spectrum One.

Differential Scanning Calorimetry
Each sample was investigated about its glass transition temperature (Tg) by the TA Instruments Q100 DSC calorimeter. The instrument was calibrated evaluating the melt purity of an Indium standard (156.6 • C and 28.45 J/g), as reported in the user manual provided by the producer.

Dinamo Mechanical Analysis (DMA)
DMA analysis was carried out on a dynamic mechanical thermal analyser (TRITEC2000, Triton Technology, Leicestershire, UK) by single cantilever geometry. P(ESES-co-ESDPA) copolymers were tested using the pocket DMA (Leicestershire, UK)) approach in their powder form. The pocket DMA is a technique used in the pharmaceutical field [34] and for polymer blends [35] for testing powders. The polymers, obtained from the syntheses, were finely micronized in powder with 30 µm average size. Then, 0.35 g of polymer powder, previously dried at 80 • C overnight, was weighted in a standard stainless-steel pocket purchased from Triton and pressed to obtain a uniform thickness of 0.8 mm.
The test was carried out accordingly to the following protocol. The sample was stabilized at 25 • C and then heated up to 290 • C at 5 • C/min. After this first scan, samples were cooled down at room temperature and again heated up to 290 • C at 5 • C/min. Similar techniques were also reported by Carlier et al. [36] for organic polymers under the name "supported DMA". This technique allows the direct evaluation of thermal transitions from E' and tan δ traces. However, the absolute values of E' and tan δ for the polymer are influenced by the presence of the metal pocket and thus, the real values should be analysed out considering the assembly as a sandwich material. The tan δ versus temperature was plotted for the sample after the second scan. The SEC measurements of the polymer sample soluble in THF were carried out by a Waters 515 apparatus (Milan, Italy ), equipped with four Ultrastyragel HR columns (ID = 7.8 mm, L = 300 mm, 5 µm of particle size) in the order HR-4, HR-3, HR-2 and HR-1 connected in series and a Waters R401 detector, using THF as mobile phase (1 mL/min of flow rate). The SEC traces were processed using a Clarity-GPC software (Data Apex, Prague, Czech Republic) provided by DataApex and applying the calibration curve built using PS narrow standards.

Wettability Analysis
Contact angle measurements and drop shape analysis were carried out on the electrospun fibers realized with the synthesized copolymers. The measurements were performed by an OCA 15 EC Optical Contact Angle meter, with the support of the SCA software by DataPhysics Instruments GmbH (San Jose, CA, USA).

Viscosimetry
The inherent viscosity (η inh = lnη rel /C; C = 0.5 g/dL) was determined by using a Ubbelohde suspended-level viscometer in dimethyl formamide (DMF) as solvent at 40 • C. The measured values are reported in Table 1. In order to calculate compositions and microstructures of copolymers we used 1 H-NMR and 13 C-NMR data applying an appropriate chemical microstructural model in accord to the literature [8,[37][38][39][40][41][42]. Experimental degree of polymerization (X n ) and the number average molar mass (Mn) of each copolymer was calculated from the integrated area of the peaks due to the aromatic protons in ortho to the phenol chain ends (protons H 2 and H 10 ) via comparison with peaks, due aromatic protons in ortho position to the ether-oxygen groups in the backbone (protons H 10 , H 2 and H 7 ) and in ortho to the phenyl-pentanoic group of the DPA units (H 11 ), using the following Equations (1)-(3).
Equation (1) X n = I 10+2 + I 11+7/8 Equation ( The molar composition was calculated from the 1 H-NMR spectra using the integrated area of aromatic protons H 10 , H 2 , H 7 and H 7 , applying the Equations (4) and (5). The molar composition was also determined from 13 C-NMR spectra using the intensity of the quaternary carbons C1 and C8.
Equation (4): The molar composition was also determined from 13 C-NMR spectra using the intensity of the quaternary carbons C1 and C8 which resonate around 159.2, and 161.2 ppm, respectively (see Table 2), using the Equations (6) and (7): Equation (6): The molar fraction of triads sequences centered on diphenylsulfone moiety (S) as ESE, ESD, DSE, DSD (see Scheme 2) were estimated from 13 C-NMR spectra applying the Equations (8)- (11), using the normalized intensity of the quaternary carbons C1 and C8 (Table 2) linked to the oxygen of the ether groups in the in these equations D indicate the DPA moiety.
Polymers 2020, 12, x FOR PEER REVIEW 6 of 23 Equation (3): The molar composition was calculated from the 1 H-NMR spectra using the integrated area of aromatic protons H10, H2, H7 and H7, applying the Equations (4) and (5). The molar composition was also determined from 13 C-NMR spectra using the intensity of the quaternary carbons C1 and C8.
Equation (4): Equation (5) The molar composition was also determined from 13 C-NMR spectra using the intensity of the quaternary carbons C1 and C8 which resonate around 159.2, and 161.2 ppm, respectively (see Table  2), using the Equations (6) and (7): Equation (6): The molar fraction of triads sequences centered on diphenylsulfone moiety (S) as ESE, ESD, DSE, DSD (see Scheme 2) were estimated from 13 C-NMR spectra applying the Equations (8)-(11), using the normalized intensity of the quaternary carbons C1 and C8 ( The chemical microstructure of the copolymers such as the sequence distribution of the dyads and triads, their average sequence length and the degree of randomness (β) of the P(ESES-co-ESDPA) copolymers were also calculated from 13 C-NMR spectra applying the Equations (8)- (11). The intensity of the quaternary carbons linked to the oxygen of the ether groups in the backbone belonging to the triad sequences centered on diphenylsulfone moiety (S) as E-S-E, E-S-DPA, DPA-S-E, DPA-S-DPA (see Scheme 2), have been used. The quaternary Carbons C1 belonging to the triad sequences E-S-E, E-S-DPA, DPA-S-E resonate at 159.2 ppm, 159.25 ppm and 159.03 ppm, respectively, the C8 ones resonate at 161.25 ppm (triads E-S-DPA and DPA-S-E) and at 161.09 ppm (triad DPA-S-DPA), respectively. The results are showed in Table 3: Equation ( Equation ( Taking into account that the E and DPA moieties must be linked only to the S unit alone and does not together, the probability (P E-DPA and P DPA-E ) of finding the E (or DPA) unit next to other the DPA (or E) one units can be calculated from the triad molar fractions applying the Equations (12) and (13), in accord to the literature [40,41]: Equation (12) Equation (13) The number-average sequential length of the ESES (L ESES ) and ESDPA (L ESDPA ) repeat units are calculated by the following Equations (14) and (15): Equation (15) The degree of randomness (β) is defined by Equation (16) Equation (

Infrared Spectroscopy
Co-poly(ether sulfone)s bearing active carboxyl acid moiety along the chains (P(ESES-co-ESDPA)) were synthesized via aromatic nucleophilic substitution polymerization of stoichiometric amount of DCDPS with different molar ratio of DHDPS and DPA; the polycondensation was carried out at high temperature in NMP/toluene azeotrope in presence of anhydrous K 2 CO 3 , as schematized in Scheme 1. The corresponding homopolymers were also synthesized in the same conditions. The reaction of DCPS with DHDPS generates the alternate sequences ether sulfone-ether sulfone (ESES), whereas the one with DPA produces the functionalized sequences ESDPA, as highlighted in Scheme 1. The chemical structure and composition of all copolymers were investigated by means of FT-IR and ( 1 H and 13 C)-NMR methods. Figure 1 shows the FTIR spectrum of the 30:70 copolymer film, recorded in modality ATR. It shows the typical absorption peaks due to; the stretching of aromatic CH in the range 3020-3095 cm −1 ; the C-H asymmetric and symmetric stretching of -CH 2 groups in the range 2850-3000 cm −1 ; the stretching of C=C of aromatic rings at 1650 cm −1 ; the asymmetric stretching of the SO 2 bond in the range 1350-1275 cm −1 ; the symmetrical stretching of SO 2 bond in the range 1175-1125 cm −1 ; the asymmetric stretching of C=O bond of the -COOH groups at 1725 cm −1 . In the supporting information ( Figure S1) is reported the overlay of the spectra, which shows the formation of the P(ESES-co-ESDPA) copolymers. In particular, the relative intensity of the diagnostic absorption peaks due to the COOH groups at 1725 cm −1 increases with respect to that of the SO 2 moieties as raises the molar amount of the DPA units in the copolymer chains. Figure S1 show FT-IR spectra of all copolymers. The adsorption bands at about 1347 cm −1 and 1140 cm −1 due to the asymmetric and symmetric stretching SO 2 moiety, respectively, were assigned in accord to the literature [17,20,[27][28][29].

Infrared Spectroscopy
Co-poly(ether sulfone)s bearing active carboxyl acid moiety along the chains (P(ESES-co-ESDPA)) were synthesized via aromatic nucleophilic substitution polymerization of stoichiometric amount of DCDPS with different molar ratio of DHDPS and DPA; the polycondensation was carried out at high temperature in NMP/toluene azeotrope in presence of anhydrous K2CO3, as schematized in Scheme 1. The corresponding homopolymers were also synthesized in the same conditions. The reaction of DCPS with DHDPS generates the alternate sequences ether sulfone-ether sulfone (ESES), whereas the one with DPA produces the functionalized sequences ESDPA, as highlighted in Scheme 1. The chemical structure and composition of all copolymers were investigated by means of FT-IR and ( 1 H and 13 C)-NMR methods. Figure 1 shows the FTIR spectrum of the 30:70 copolymer film, recorded in modality ATR. It shows the typical absorption peaks due to; the stretching of aromatic CH in the range 3020-3095 cm −1 ; the C-H asymmetric and symmetric stretching of -CH2 groups in the range 2850-3000 cm −1 ; the stretching of C=C of aromatic rings at 1650 cm −1 ; the asymmetric stretching of the SO2 bond in the range 1350-1275 cm −1 ; the symmetrical stretching of SO2 bond in the range 1175-1125 cm −1 ; the asymmetric stretching of C=O bond of the -COOH groups at 1725 cm −1 . In the supporting information ( Figure S1) is reported the overlay of the spectra, which shows the formation of the P(ESES-co-ESDPA) copolymers. In particular, the relative intensity of the diagnostic absorption peaks due to the COOH groups at 1725 cm −1 increases with respect to that of the SO2 moieties as raises the molar amount of the DPA units in the copolymer chains. Figure S1 show FT-IR spectra of all copolymers. The adsorption bands at about 1347 cm −1 and 1140 cm −1 due to the asymmetric and symmetric stretching SO2 moiety, respectively, were assigned in accord to the literature [17,20,[27][28][29].

NMR Analysis
To obtain more information on the chemical composition and on the microstructure, all copolymers were investigated by ( 1 H and 13 C)-NMR, using deuterated DMSO as solvent. The spectra were recorded at 50 °C to a better resolution. The chemical shifts resonances were accurately assigned to the specific protons and carbons, according to published data [8] and to the corresponding homopolymers ones. The specific assignments are reported in Table 2. As an example, the ( 1 H and 13 C)-NMR spectra of the P(ESES-co-ESDPA) 50:50 copolymer are depicted in Figure S2 together with the specific assignments. The aromatic protons resonate in the range between 6.5 and 8.2 ppm,

NMR Analysis
To obtain more information on the chemical composition and on the microstructure, all copolymers were investigated by ( 1 H and 13 C)-NMR, using deuterated DMSO as solvent. The spectra were recorded at 50 • C to a better resolution. The chemical shifts resonances were accurately assigned to the specific protons and carbons, according to published data [8] and to the corresponding homopolymers ones. The specific assignments are reported in Table 2. As an example, the ( 1 H and 13 C)-NMR spectra of the P(ESES-co-ESDPA) 50:50 copolymer are depicted in Figure S2 together with the specific assignments. The aromatic protons resonate in the range between 6.5 and 8.2 ppm, whereas the aliphatic protons of the DPA units resonate between 1.5 and 2.5 ppm. The methyl groups (H a ) give a singlet a 1.59 ppm, whereas the protons of the methylene in α (H d ) and in β (H c ) to the carboxylic acid resonate at 2.11 and 2.38 ppm, respectively. The 1 H-NMR spectra of all copolymers as well that of the P(ESDPA) homopolymer show a large signal at 12.09 ppm, due to the protons (H e ) of the pendant carboxylic groups. The spectra show also the peaks (singlet) at 10.65 and 9.26 ppm due to resonance of phenol (OH) end groups belonging to the DHDPS, and DPA end groups, respectively (see Table 2). The aromatic protons in ortho to the OH-phenols end chains belonging to the DHDPS and DPA end chains resonate at 6.95 ppm (d, H 2 ) and 6,69 ppm (d, H 10 ), respectively. The unresolved doublet at about 7.68 ppm is assigned to aromatic protons in ortho to the chlorine belonging to the DCDPS end chains (protons H 2" ). Therefore, the 1 H-NMR analysis gave pertinent information on the end groups of the copolymer chains. Figure 2 shows the 1 H-NMR spectra in the aromatic regions ranging from 6.6 to 8.6 ppm of some polymer samples. As an example, the total 1 H-NMR spectrum of the P(ESES-co-ESDPA) 50:50 sample is reported in the Figure S2a. The molar amounts, relative to the feed, of ESES and ESDPA units in the copolymers were calculated from proton NMR spectra using the integrated areas of the peaks due to the aromatic protons which resonate in the range 6.9-8.1 ppm, applying the Equations (4) and (5). The results are noted in Table 1. The calculated molar composition of all samples agrees with that from the feed. Some differences can be due to the low resolution of the aromatic protons. Polymer samples with a Mn of about 6000 g/mol were obtained in the experimental conditions applied, as shown in Table 1. Nevertheless, due to the lack of peak separation in the aromatic regions and to their complexity, it was not possible to unequivocally assign each peak to the corresponding sequences (dyads, triads, etc.) in the copolymer chains by the proton spectra. To overcome this problem, all samples were analysed by 13 C-NMR, in order to define all structural units along their chains. Moreover, we will point out the merits of sequence analysis for the characterization of molar compositions and microstructure of the copolymers synthesized changed the DHDPS/DPA molar ratio in the feed. The knowledge of these parameters could allow in the further studies to correlate copolymers properties (thermal, mechanical, membrane for separating gases, selective extraction of heavy metals, etc.) to their compositions or to obtain/gather/deduct information on (to foresee) copolymers properties from their compositions.
Polymers 2020, 12, x FOR PEER REVIEW 9 of 23 whereas the aliphatic protons of the DPA units resonate between 1.5 and 2.5 ppm. The methyl groups (Ha) give a singlet a 1.59 ppm, whereas the protons of the methylene in α (Hd) and in β (Hc) to the carboxylic acid resonate at 2.11 and 2.38 ppm, respectively. The 1 H-NMR spectra of all copolymers as well that of the P(ESDPA) homopolymer show a large signal at 12.09 ppm, due to the protons (He) of the pendant carboxylic groups. The spectra show also the peaks (singlet) at 10.65 and 9.26 ppm due to resonance of phenol (OH) end groups belonging to the DHDPS, and DPA end groups, respectively (see Table 2). The aromatic protons in ortho to the OH-phenols end chains belonging to the DHDPS and DPA end chains resonate at 6.95 ppm (d, H2′) and 6,69 ppm (d, H10′), respectively. The unresolved doublet at about 7.68 ppm is assigned to aromatic protons in ortho to the chlorine belonging to the DCDPS end chains (protons H2″). Therefore, the 1 H-NMR analysis gave pertinent information on the end groups of the copolymer chains. Figure 2 shows the 1 H-NMR spectra in the aromatic regions ranging from 6.6 to 8.6 ppm of some polymer samples. As an example, the total 1 H-NMR spectrum of the P(ESES-co-ESDPA) 50:50 sample is reported in the Figure S2a. The molar amounts, relative to the feed, of ESES and ESDPA units in the copolymers were calculated from proton NMR spectra using the integrated areas of the peaks due to the aromatic protons which resonate in the range 6.9-8.1 ppm, applying the Equations (4) and (5). The results are noted in Table 1. The calculated molar composition of all samples agrees with that from the feed. Some differences can be due to the low resolution of the aromatic protons. Polymer samples with a Mn of about 6000 g/mol were obtained in the experimental conditions applied, as shown in Table 1. Nevertheless, due to the lack of peak separation in the aromatic regions and to their complexity, it was not possible to unequivocally assign each peak to the corresponding sequences (dyads, triads, etc.) in the copolymer chains by the proton spectra. To overcome this problem, all samples were analysed by 13 C-NMR, in order to define all structural units along their chains. Moreover, we will point out the merits of sequence analysis for the characterization of molar compositions and microstructure of the copolymers synthesized changed the DHDPS/DPA molar ratio in the feed. The knowledge of these parameters could allow in the further studies to correlate copolymers properties (thermal, mechanical, membrane for separating gases, selective extraction of heavy metals, etc.) to their compositions or to obtain/gather/deduct information on (to foresee) copolymers properties from their compositions.  The aromatic quaternary carbons are more sensitive to the sequence effects of aryl ether copolymers than any other aromatic carbons, due to the occurrence of through-space and through-bond interactions between neighboring units [8,38,39,41]. In many cases the aromatic quaternary carbons linked to the ether-oxygen, as well the ones linked to the sulfone group are extremely sensitive to the sequence distributions along the chains, since their assignments, either to the corresponding dyads and triads sequences, are often unequivocally possible. Therefore, in many cases they give fundamental sequencing information [8,40]. Figure 3 shows the expanded 13 C-NMR spectra of the P(ESES-co-ESDPA) copolymers 70:30, 50:50 and 30:70, in the aromatic regions between 114.5 and 174.3 ppm. The chemical shifts were accurately assigned to the specific carbons on the basis of those of homopolymers (P(ESES) and P(ESDPA) ( Table 2). The 13 C-NMR spectra in Figure 3 show relevant changes in the relative intensity of quaternary carbons C1 and C8 belonging to the phenyl ether moieties belonging to of the phenylether-phenylsulfone (ES) and phenylsulfone-DPA (ESDPA) units, respectively (see Table 2 and Scheme 2), which resonate in the range 158.8-161.3 ppm. The relative intensity of the signals C8 and C1 changes as a function of the ESES/ESDPA molar ratio in the copolymers. Likely, relevant changes were also observed for the quaternary carbons linked to the sulfone groups (C4 and C5; Table 2 and Scheme 2), which resonate in the range between 143.5 and 137.2 ppm. Distinct differences were also observed either for the signals due to the tertiary carbons in ortho to the sulfone groups (C3 and C6) and to the tertiary carbons in ortho to the ether-oxygen groups (C2 and C7), as changes the molar composition of the copolymers. As expected, the aromatic tertiary carbons of the DPA units (C10 and C11) do not show relevant multiplicity of peaks, due to the sequence distribution, because the aliphatic pentanoic acid moiety hampers the bond interactions between neighboring units. Their relative intensity changes with respect to that of the homologous carbons belonging to the ES sequences (i.e., carbons 2, 3, 6 and 7), as a function of the molar composition. The aliphatic region of 13 C-NMR spectra of the copolymer samples is showed in Figure S4, whereas that of the homopolymers is displayed in Figures S5 and S6. The good resolution of the peaks due to the quaternary carbons C 1 , C 8 , C 4 and C 5 has permitted their assignments to the triad sequences centred on the diphenyl sulfone units (S) present along the copolymer chains. The pertinent assignments are reported in Figure 3 and the corresponding structures are depicted in Scheme 2. In fact, as highlighted in Figure 3 and in Scheme 2, the peaks due to the quaternary carbons C1 which resonate at 159.2 ppm, 159.25 and 159.03 ppm were assigned to the triads E-S-E, E-S-DPA and DPA-S-E, respectively. C 8 peaks at 161.25 ppm were assigned to the asymmetric triads E-S-DPA and DPA-S-E, whereas the C 8 signals at 161.09 ppm were assigned to the symmetric triads DPA-S-DPA.
As explained in the experimental section, the chemical microstructure of the copolymers such as the molar composition (C ESES and C ESDPA ), the triads sequence distribution (f E-S-E , f E-S-DPA , f DPA-S-E , and f DPA-S-DPA ), the probability (P DPA-E and P E-DPA ) of finding the E (or DPA) unit next to that of DPA (or E), the number-average sequential length (L ESES and L ESDPA ) of the repeat units (ESES and ESDPA) and the degree of randomness of the P(ESES-co-ESDPA) copolymers were calculated from 13 C-NMR spectra, applying the Equations (6)- (16) and utilizing the intensity of the carbons C 1 and C 8 ( Table 3). The calculated molar compositions are noted in Table 1, whereas the other chemical microstructural data are summarized in Table 3. The calculated molar composition agrees with the DHDPS/DPA molar ratio in the feed suggesting that both monomers show a similar reactivity in the aromatic nucleophilic substitution polymerization reaction with the DCDPS monomer. All copolymers exhibit a degree of randomness ranging from 0.80 to 0.89, indicating that essential random copolymers are synthesized independently of the DHDPS/DPA molar ratio in the feed. As expected, the number-average sequential length of the ESES (L ESES ) unit decreases as decreases their molar fraction, whereas that of the ESDPA units (L ESDPA ) increases as raises their molar amount in the copolymers. The probability (P E-DPA ) of finding the E moiety next to the DPA moiety decreases as raises the molar amount of ESDPA repeat units in the copolymer, whereas complementary and P E-DPA increases. Beside the fundamental microstructural information, the study of 13 C-NMR spectra also permits to identify the end groups of the copolymer chains. The signals at about 115.9 ppm and 114.7 ppm were assigned to the aromatic quaternary carbons linked to hydroxyl groups belonging the DHDPS (C 2 ) and DPA end groups (C 10 ), respectively. Moreover, the low intensity peaks at about 129.65 ppm were assigned to the aromatic tertiary carbons in meta position to the chlorine ends. end groups (C10′), respectively. Moreover, the low intensity peaks at about 129.65 ppm were assigned to the aromatic tertiary carbons in meta position to the chlorine ends. end groups (C10′), respectively. Moreover, the low intensity peaks at about 129.65 ppm were assigned to the aromatic tertiary carbons in meta position to the chlorine ends. end groups (C10′), respectively. Moreover, the low intensity peaks at about 129.65 ppm were assigned to the aromatic tertiary carbons in meta position to the chlorine ends. end groups (C10′), respectively. Moreover, the low intensity peaks at about 129.65 ppm were assigned to the aromatic tertiary carbons in meta position to the chlorine ends. end groups (C10′), respectively. Moreover, the low intensity peaks at about 129.65 ppm were assigned to the aromatic tertiary carbons in meta position to the chlorine ends.  Figure 3. Enlarged section of seven ranges with assignments of the described spectra. Figure 3. Enlarged section of seven ranges with assignments of the described spectra.

MALDI-TOF MS
All P(ESES-co-ESDPA) copolymers were also characterized by MALDI-TOF mass spectra, to obtain detailed information about their chemical structure. This powerful technique is able to look at the mass of individual molecules in a mixture of homologues, permitting the structural identification of the single macromolecular chain (linear and cycles). Often, MALDI-TOF mass spectra allow the identification of the repeat units, the end chains, cyclic oligomers and species present in minor amount [8,[42][43][44][45][46][47][48]. MALDI-TOF mass spectra of all samples recorded in reflectron mode showed highly resolved mass peaks in the mass range m/z 1000-4000, permitting reliable and pertinent assignments to the corresponding (ESES) X -(ESDPA) y co-oligomers. As an example, in Figure 4 is reported the mass spectrum of the copolymer P(ESES-co-ESDPA) 50:50, recorded in reflectron mode using DCTB as a matrix. It shows a series of homologous peaks in the mass range between m/z 950 and m/z 4000. In the expanded mass spectrum showed in Figure 5, are present intense peaks due to the potassium adduct ions of linear copolymer chains terminated with phenol groups at both ends (species A m,n , C m,n and D m,n ), to the copolymer chains terminated with OH at one end and with Cl at the other one (Species B m,n ) and species terminated with chlorine at both ends (species E m,n ). Co-oligomers terminated with mono hydroxy phenylsulfone (species C m,n ) or with mono hydroxy DPA (species D m,n ) were also observed. These unexpected end groups derive from the low amount (<1%) of the corresponding phenol present as impurity in the DHDPS, and DPA monomers, respectively. All copolymers synthesized exhibit the same end groups revealed by MALDI-TOF MS analysis of the P(ESES-co-ESDPA) 50:50. Moreover, beside to the potassium adduct ions of the linear co-oligomers, the mass spectra reveal the presence of the cyclic copolymer chains (species Φ m,n ). The cyclic co-oligomers were not revealed by ( 1 H and 13 CNMR) analysis since they show chemical shifts very similar to those of the linear chains. Cycles were identified in the MALDI spectra of all copolymers studied and also in the corresponding homopolymers. the other one (Species Bm,n) and species terminated with chlorine at both ends (species Em,n). Cooligomers terminated with mono hydroxy phenylsulfone (species C′m,n) or with mono hydroxy DPA (species D′m,n) were also observed. These unexpected end groups derive from the low amount (<1%) of the corresponding phenol present as impurity in the DHDPS, and DPA monomers, respectively. All copolymers synthesized exhibit the same end groups revealed by MALDI-TOF MS analysis of the P(ESES-co-ESDPA) 50:50. Moreover, beside to the potassium adduct ions of the linear co-oligomers, the mass spectra reveal the presence of the cyclic copolymer chains (species Φm,n). The cyclic cooligomers were not revealed by ( 1 H and 13 CNMR) analysis since they show chemical shifts very similar to those of the linear chains. Cycles were identified in the MALDI spectra of all copolymers studied and also in the corresponding homopolymers.
Therefore, further information about the structure of the copolymers studied is defined by MALDI-TOF MS analysis.

Size Exclusion Chromatography
In order to compare the molecular weights of the synthesized polymers, they have been analysed by size exclusion chromatography, using DMF as eluent and applying the calibration curve built with PS narrow polymer standards. Figure 6 shows SEC chromatograms of all polymers in the elution volume ranging from 10 mL up to 40 mL. The calculated average molar masses (Mw and Mn) are reported in Table 1. Either the P(ESES) homopolymer and the P(ESES-co-ESDPA) 70:30 copolymer shows average molar masses higher than those of other polymers. The P(ESDPA) homopolymer exhibits average molar mass lower than that of the other samples. All samples show polydispersity index (Mw/Mn) of about 2.1/2.2. The Mn values calculated by SEC analysis agree with those determined by 1 H-NMR method (Table 1). P(ESES-co-ESDPA) copolymers 70:30, 50:50 and 30:70 were also analysed using THF as eluent and the chromatograms are displayed in Figure S7. The 70:30 sample has a lower elution time due to its slightly higher molecular weight, as confirmed by 1 H-NMR analysis.   Therefore, further information about the structure of the copolymers studied is defined by MALDI-TOF MS analysis.

Size Exclusion Chromatography
In order to compare the molecular weights of the synthesized polymers, they have been analysed by size exclusion chromatography, using DMF as eluent and applying the calibration curve built with PS narrow polymer standards. Figure 6 shows SEC chromatograms of all polymers in the elution volume ranging from 10 mL up to 40 mL. The calculated average molar masses (Mw and Mn) are reported in Table 1. Either the P(ESES) homopolymer and the P(ESES-co-ESDPA) 70:30 copolymer shows average molar masses higher than those of other polymers. The P(ESDPA) homopolymer exhibits average molar mass lower than that of the other samples. All samples show polydispersity index (Mw/Mn) of about 2.1/2.2. The Mn values calculated by SEC analysis agree with those determined by 1 H-NMR method (Table 1). P(ESES-co-ESDPA) copolymers 70:30, 50:50 and 30:70 were also analysed using THF as eluent and the chromatograms are displayed in Figure S7. The 70:30 sample has a lower elution time due to its slightly higher molecular weight, as confirmed by 1 H-NMR analysis.
Polymers 2020, 12, x FOR PEER REVIEW 15 of 23 Figure 6. Overlay of the SEC traces of the P(ESES-co-ESDPA) copolymers and of their homopolymers, recorded using DMF as eluent.

DSC
The thermal properties of all polymer samples were studied by DSC. All samples show only one glass transition temperature (Tg), and this behavior indicate that are amorphous materials. The Tg values are noted in Table 1. The P(ESES) homopolymer shows a Tg of 207 °C, very similar to that of commercial polymers (about 210 °C), whereas the P(ESDPA) homopolymer presents a Tg of 155 °C. These data suggest that the diphenolic unit influences the rigidity of the P(ESDPA) based polymers since the pendant COOH groups lead to a worsen packing of the chains. Moreover, the pentanoic acid linked to two phenyl moieties leads to a less rigidity of the DPA units with respect to the diphenylsulfone one, hampering the packing of the macromolecular chains. These effects lead to lowering of the Tg values of the P(ESDPA)copolymers with respect to the alternating poly(arylene ether-sulfone) (PES). The influence of the molar amount of ESDPA units on the Tg values was also observed in the P(ESES-co-ESDPA) studied. The Tg of the copolymers decreases as raises the molar amount of the ESDPA units in the chains, as displayed in Figure 7, showing the thermograms of the second heating cycle of P(ESES-co-ESDPA) copolymers. Comparing the data of the Tg values ( Table  1) with those of number-average sequential lengths (LESES) of ESES repeat units ( Table 3) we deduced that the effect due to the DPA units prevails for LESES less of 4. The effect of pendant functional groups such as aldehyde moiety was already observed in modified polysulfones [30]. The authors suggest that this effect reduces the chain-stiffening on the polymer backbone.

DSC
The thermal properties of all polymer samples were studied by DSC. All samples show only one glass transition temperature (Tg), and this behavior indicate that are amorphous materials. The Tg values are noted in Table 1. The P(ESES) homopolymer shows a Tg of 207 • C, very similar to that of commercial polymers (about 210 • C), whereas the P(ESDPA) homopolymer presents a Tg of 155 • C. These data suggest that the diphenolic unit influences the rigidity of the P(ESDPA) based polymers since the pendant COOH groups lead to a worsen packing of the chains. Moreover, the pentanoic acid linked to two phenyl moieties leads to a less rigidity of the DPA units with respect to the diphenylsulfone one, hampering the packing of the macromolecular chains. These effects lead to lowering of the Tg values of the P(ESDPA)copolymers with respect to the alternating poly(arylene ether-sulfone) (PES). The influence of the molar amount of ESDPA units on the Tg values was also observed in the P(ESES-co-ESDPA) studied. The Tg of the copolymers decreases as raises the molar amount of the ESDPA units in the chains, as displayed in Figure 7, showing the thermograms of the second heating cycle of P(ESES-co-ESDPA) copolymers. Comparing the data of the Tg values ( Table 1) with those of number-average sequential lengths (L ESES ) of ESES repeat units ( Table 3) we deduced that the effect due to the DPA units prevails for L ESES less of 4. The effect of pendant functional groups such as aldehyde moiety was already observed in modified polysulfones [30]. The authors suggest that this effect reduces the chain-stiffening on the polymer backbone.

DMA Analysis
The thermomechanical properties of all samples were also investigated by DMA analysis. All the dried samples were tested under oscillatory mode while heating from 25 to 290 °C at 5 °C/min. Only the results of the second scan were considered. The DMA test was carried out in multifrequency mode to obtain the Tan δ traces at different frequencies. The results for P(ESES) and P(ESDPA) homopolymers are reported in Figure 8a,b. At 1 Hz a single peak was observed for both polymers at 212.3 °C and 160.5 °C for P(ESES), and P(ESDPA), respectively. The Tan δ shifted to 216.7 °C and 167.3 °C for P(ESES) and P(ESDPA) when measured at 10 Hz. The frequency shift of the Tan δ peak at high temperature is typically observed for glass transition relaxation phenomena. Similar behaviour was observed for all the copolymers tested. All the glass transition temperatures (Tg), measured as Tan δ peak at 1 Hz, for the copolymers with different molar composition of ES-DPA units, are plotted in Figure 9.

DMA Analysis
The thermomechanical properties of all samples were also investigated by DMA analysis. All the dried samples were tested under oscillatory mode while heating from 25 to 290 • C at 5 • C/min. Only the results of the second scan were considered. The DMA test was carried out in multifrequency mode to obtain the Tan δ traces at different frequencies. The results for P(ESES) and P(ESDPA) homopolymers are reported in Figure 8a,b. At 1 Hz a single peak was observed for both polymers at 212.3 • C and 160.5 • C for P(ESES), and P(ESDPA), respectively. The Tan δ shifted to 216.7 • C and 167.3 • C for P(ESES) and P(ESDPA) when measured at 10 Hz. The frequency shift of the Tan δ peak at high temperature is typically observed for glass transition relaxation phenomena. Similar behaviour was observed for all the copolymers tested. All the glass transition temperatures (Tg), measured as Tan δ peak at 1 Hz, for the copolymers with different molar composition of ES-DPA units, are plotted in Figure 9.
212.3 °C and 160.5 °C for P(ESES), and P(ESDPA), respectively. The Tan δ shifted to 216.7 °C and 167.3 °C for P(ESES) and P(ESDPA) when measured at 10 Hz. The frequency shift of the Tan δ peak at high temperature is typically observed for glass transition relaxation phenomena. Similar behaviour was observed for all the copolymers tested. All the glass transition temperatures (Tg), measured as Tan δ peak at 1 Hz, for the copolymers with different molar composition of ES-DPA units, are plotted in Figure 9.   The trend of the Tg versus the mol% of the ESDPA molar units revealed a step Tg decrease for copolymer composition higher than 20% of ESDPA. This result can find its explanation in the formation of homogeneous DPA-DPA sequences (Phenyl-Alky-Phenyl-ether-Phenyl-alkyl-Phenylether). These unexpected sequences can be generated by the trans-etherification reactions (Scheme 3) occurring at temperature higher than 200 °C, in accord to the DPMS data [24]. The trend of the Tg versus the mol% of the ESDPA molar units revealed a step Tg decrease for copolymer composition higher than 20% of ESDPA. This result can find its explanation in the formation of homogeneous DPA-DPA sequences (Phenyl-Alky-Phenyl-ether-Phenyl-alkyl-Phenyl-ether). These unexpected sequences can be generated by the trans-etherification reactions (Scheme 3) occurring at temperature higher than 200 • C, in accord to the DPMS data [24].

Wettability Analysis
The contact angle is an important parameter to characterize the hydrophilicity of a polymer sample. Its values indicate the hydrophobicity (>90°) and hydrophilicity (<90°), and the smaller the value, the better the hydrophilicity. The lacking of hydrophilic groups and the closing arrangement of macromolecular chains lead to the poor hydrophilicity for poly(arylene ether sulfone) (PES) Contact Angle values for each synthesized sample were determined, in order to compare the hydrophilicity of these new materials with the typical hydrophobicity of commercial PES. Each sample was measured 10 times and averaged. The experimental results are reported in Table 4.

Wettability Analysis
The contact angle is an important parameter to characterize the hydrophilicity of a polymer sample. Its values indicate the hydrophobicity (>90 • ) and hydrophilicity (<90 • ), and the smaller the value, the better the hydrophilicity. The lacking of hydrophilic groups and the closing arrangement of macromolecular chains lead to the poor hydrophilicity for poly(arylene ether sulfone) (PES) Contact Angle values for each synthesized sample were determined, in order to compare the hydrophilicity of these new materials with the typical hydrophobicity of commercial PES. Each sample was measured 10 times and averaged. The experimental results are reported in Table 4.  Figure 10 shows the C.A. values plotted as function of the %ESDPA units. The P(ESES-co-ESDPA) 100:0 shows a value slightly lower than that of the corresponding commercial PES. This may be due to the lower average molar mass and a more concentration of OH end groups as revealed by 1 H-NMR and MALDI-TOF MS analyses. Figure 10 and Table 4 show that as increases the molar amount of the DPA units in the copolymers the contact angle is reduced from 131.2 • to 84.5 • , and the polymer surface change from hydrophobic to hydrophilic. As expected, the P(ESDPA) homopolymer has the higher hydrophilicity (84.5 • ).
Polymers 2020, 12, x FOR PEER REVIEW 19 of 23 Figure 10 shows the C.A. values plotted as function of the %ESDPA units. The P(ESES-co-ESDPA) 100:0 shows a value slightly lower than that of the corresponding commercial PES. This may be due to the lower average molar mass and a more concentration of OH end groups as revealed by 1 H-NMR and MALDI-TOF MS analyses. Figure 10 and Table 4 show that as increases the molar amount of the DPA units in the copolymers the contact angle is reduced from 131.2° to 84.5°, and the polymer surface change from hydrophobic to hydrophilic. As expected, the P(ESDPA) homopolymer has the higher hydrophilicity (84.5°).

Selective Extraction on Heavy Metals
The application of commercial PES-based materials for the capture of heavy metals is described in literature [23,24]. In the present work, we report the results of a preliminary study aimed to test the selectivity of a (PESES-co-ESDPA) 50:50 membrane towards some cations of heavy metals, such as to chromium, vanadium, cadmium, arsenic, mercury, copper, zinc, iron, lead and cobalt. These metals if present in the environment, i.e., in the water, at levels above certain thresholds (generally in the order of ppm), can represent a serious hazard for human health. Water solutions with known concentrations (50 ppm) of chromium, cadmium, zinc and lead metals and their binary mixtures have been prepared. Micro-and nano-fibrous membranes were prepared by electrospinning of the (PESESco-ESDPA) 50:50 copolymer synthetized. The recovery test was carried out by dipping the membranes for times ranging from 5 min to 7 days. The solutions, after the dipping times, were suitably diluted and characterized by means of a Nexion 300X ICP/MS spectrometer (Perkin Elmer Inc. Waltham, MA, USA); the difference between the initial and final concentration of the specific metal was thus assessed. The best results were obtained towards lead already after 5 min of dipping. A plateau was reached for immersion times higher than 10 min, due to the continuous exchange of metals between membranes and solutions. On the basis of these results, further studies will be carried out to improve the hydrophilicity of the membranes, by further specific functionalization of the (PESES-co-ESDPA) copolymers, and to extend the range of either extraction capability of several metal species and filtering power of the membranes.

Selective Extraction on Heavy Metals
The application of commercial PES-based materials for the capture of heavy metals is described in literature [23,24]. In the present work, we report the results of a preliminary study aimed to test the selectivity of a (PESES-co-ESDPA) 50:50 membrane towards some cations of heavy metals, such as to chromium, vanadium, cadmium, arsenic, mercury, copper, zinc, iron, lead and cobalt. These metals if present in the environment, i.e., in the water, at levels above certain thresholds (generally in the order of ppm), can represent a serious hazard for human health. Water solutions with known concentrations (50 ppm) of chromium, cadmium, zinc and lead metals and their binary mixtures have been prepared. Microand nano-fibrous membranes were prepared by electrospinning of the (PESES-co-ESDPA) 50:50 copolymer synthetized. The recovery test was carried out by dipping the membranes for times ranging from 5 min to 7 days. The solutions, after the dipping times, were suitably diluted and characterized by means of a Nexion 300X ICP/MS spectrometer (Perkin Elmer Inc. Waltham, MA, USA); the difference between the initial and final concentration of the specific metal was thus assessed. The best results were obtained towards lead already after 5 min of dipping. A plateau was reached for immersion times higher than 10 min, due to the continuous exchange of metals between membranes and solutions. On the basis of these results, further studies will be carried out to improve the hydrophilicity of the membranes, by further specific functionalization of the (PESES-co-ESDPA) copolymers, and to extend the range of either extraction capability of several metal species and filtering power of the membranes.

Conclusions
By ( 1 H and 13 C)-NMR analysis the molar composition and the end chains of the P(ESES-co-ESDPA) copolymers synthesized were determined. The molar composition agrees with the molar ratio of both diphenol monomers (DHDPS and DPA) in the feed, suggesting that they have similar reactivity in the aromatic nucleophilic substitution polymerization reaction with the DCDPS monomer. 13 C-NMR studies indicate that all polymer samples are essentially terminated with hydroxyl (OH) and/or Chlorine (Cl) moieties, as confirmed by MALDI-TOF MS analysis, which also reveals the formation of cycles both in the copolymers and in the homopolymers. The chemical microstructural analysis was carried out by 13 C-NMR studies, applying appropriate equations and using the intensity of the aromatic quaternary carbons linked to the oxygen of the ether groups belonging to the sequences ESES and ESDPA. It reveals that essential random copolymers with a degree of randomness ranging from 0.80 up to 0.89, were synthesized. The number-average sequential length of the ESES units decreases as decreases their molar fraction, whereas that of the ESDPA units increases as raises their molar amount in the copolymers. Moreover, DSC and DMA studies suggest that the DPA units influence the thermal properties of the P(ESES-co-ESDPA) copolymers, since the Tg decreases with respect to that of (PESES) homopolymers as raises the ESDPA molar fraction. This unit influences also the hydrophilicity of the copolymers, since the contact angle values decrease as increase the ESDPA units in the copolymer chains. Furthermore, a preliminary study reveals that P(ES-co-ESDPA) 50:50 based membrane is efficient to extract lead ions from water solutions, in the presence of other heavy metals.
This work proves the feasibility of the proposed synthesis as a useful mean to obtain controlled structure for the P(ESES-co-ESDPA) copolymers. The present studies could be particularly useful to study the effect of the macromolecular structure on the properties of their parent/related membranes. Funding: Financial support was provided by the Ministry of University and Scientific Research (MIUR) of Italy and the National Council of Research (CNR) of Italy. Many thanks are due to POR FSE Sicily 2020 e Project: "Polymeric systems: innovative aspects and applications in the biomedical and agri-food fields and SPIN OFF of Polymers", Call 11/2017 and "Strengthening employability in the R&D system and the emergence of research spin offs in Sicily", that granted this work.