Francis
Owusu
ab,
Martin
Tress
c,
Frank A.
Nüesch
abd,
Sandro
Lehner
e and
Dorina M.
Opris
*a
aSwiss Federal Laboratories for Materials Science and Technology Empa, Laboratory for Functional Polymers, Überlandstr. 129, CH-8600, Dübendorf, Switzerland. E-mail: dorina.opris@empa.ch
bInstitute of Chemical Sciences and Engineering, Ecole Polytechnique Federale de Lausanne, EPFL, Station 6, CH-1015 Lausanne, Switzerland
cLeipzig University, Peter Debye Institute for Soft Matter Physics, Linné straße 5, 04103 Leipzig, Germany
dÉcole Polytechnique Fédérale de Lausanne (EPFL), Institut des Matériaux, Station 12, CH 1015, Lausanne, Switzerland
eSwiss Federal Laboratories for Materials Science and Technology Empa, Laboratory for Advanced Fibers, Lerchenfeldstrasse 5, 9014 St. Gallen, Switzerland
First published on 1st December 2021
Materials with high dielectric permittivity and dielectric relaxation strength are sought for thermal and pressure sensors and electrical energy generators. However, most polymers have either too low dielectric permittivity or are so polar that their glass transition temperature (Tg) is too high and thus decomposition and side reactions occur before an electric field can polarize the polar groups. Here, we use the power and versatility of ring-opening metathesis polymerization (ROMP) to synthesize polar polymers with high dielectric relaxation strength and Tg significantly below the decomposition temperature. We first synthesized six polar norbornene monomers by conventional esterification, which were then polymerized by ROMP using Grubbs first- and third-generation catalysts. The structure of the polynorbornenes obtained were verified by multinuclear NMR spectroscopy, molecular weights determined by gel permeation chromatography (GPC), and thermal properties evaluated by thermogravimetric analysis (TGA) and differential scanning calorimetry (DSC). Additionally, their dielectric permittivity, conductivity, and dielectric losses were measured at different temperatures and frequencies ranging between 0.1 and 106 Hz.
Electret polymers have a quasi-permanent polarization and respond to mechanical or thermal stress by generating an electric signal, and thus show piezo and pyroelectric effects.3 These effects were known, but a significant advancement in this field was achieved only when the piezoelectric response in polyvinylidene difluoride (PVDF) was discovered in 1969.4 Since then, many applications for this polymer were found, which range from sensors, actuators, energy conversion to electronic devices.5,6 However, PVDF is environmentally unfriendly and difficult to process. A further advancement in the field was achieved when small air voids in highly insulating polymer foams were polarized by corona discharge.7 Such foams show a high piezoelectric response, but humidity negatively influences their performance.8
Quasi-permanent polarization can be introduced in amorphous polar polymers by poling in a strong electric field when heated above Tg and cooled below Tg.9 Research in this direction attracted the attention of polymer chemists in the 1990s, as for example Hall Jr.,10 Feast,11 and Wegner.12 Polyacrylonitrile and poly(vinylidenecyanide vinyl acetate) (PVVA) show a large dielectric relaxation strength (Δε), but they are either environmentally unfriendly or have a high Tm. PVVA has amongst the highest Δε = 30.13 While this is attractive, its very high Tg (170 °C) complicates the poling process due to possible thermal decomposition and side reactions. To achieve a practical piezoelectric response, polymers with as high as possible Δε are desirable. The dielectric relaxation strength is defined as the difference between the εr and ε∞ and is related to the density of polar groups (N) and the dipole moment (μ). The polarization (P) is given by
P = ε0Δε(T)Ep | (1) |
Polymers with large Δε can be accessed by increasing the dipole density and dipole strength of polar groups grafted to the polymer chain. Polar groups can be introduced into a polymer chain either by post-polymerization modification or by polymerizing polar monomers. Ring-opening polymerization (ROMP) is a powerful tool for synthesizing polymers with different functional groups.14,15 Norbornene-based monomers are predominantly employed due to their high ring strain, ensuring excellent polymerization propagation. Additionally, this monomer class can easily be modified with a wide range of functional groups, giving rise to polymers with otherwise inaccessible structures and properties.16,17 Due to this versatility, polynorbornenes with pendant groups in the polymer backbone have recently spotlighted materials research. This is also due to the materials’ attractive optical and electro-optic properties,18 good mechanical and adhesive properties,19–21 multi-shape memory effects,22 and excellent dielectric behavior.23–28 To increase the dielectric permittivity, functional moieties with large dipole moments as side chains have typically been considered.29 For instance, Feast reported the synthesis of poly[2,3-bis(trifluoromethyl)norbornadiene] and its dielectric and pyroelectric properties.11 Most recently, Bonardd et al. reported on the synthesis of new poly(itaconate) polymers containing pendant sulfone and nitrile groups, which showed an interesting dielectric behavior in a broad temperature range, proving their potential as promising candidates for energy storage applications.30,31
There are only a few systematic experimental studies available on how different dipole moieties as pendant groups of poly norbornenes affect dielectric properties. Here, we report the synthesis of six polar norbornene monomers and their ROM polymerization. Furthermore, we report the thermal and dielectric properties of these polynorbornenes. Gratifyingly, some of these polymers show high Δε and a Tg suitable for room temperature applications.
The average molecular weights and polydispersity indices (PDI) of polymers were determined by two different gel permeation chromatography (GPC) systems with THF or hexafluoroisopropanol (HFIP) as eluents. The THF-based setup was equipped with Agilent 1260 Infinity, using two tandem-connected mixed-bed columns (1 × PLgel 5 μm MIXED-C Guard and 2 × PLgel 5 μm MIXED-C Analytical), coupled to a 390-MDS refractive index detector. Both systems employed a flow rate of 1 ml min−1 and were kept at 35–40 °C. Polystyrene and poly(methyl methacrylate) were used as a calibration standard for the THF and HFIP eluent systems, respectively.
The thermal behavior of the synthesized polymers was investigated using a PerkinElmer DSC 8000 differential scanning calorimeter. The samples were initially heated to 150 °C at a rate of 20 °C min−1 to remove any thermal history. Heat-cool-heat cycles were scanned from 0 to 200 °C at a rate of 20 °C min−1. For samples PNBE-3 a heating–cooling–heating cycles from 0 to 150 °C at the rate of 20 °C min−1 were used. Thermogravimetric analysis (TGA) was conducted using a PerkinElmer TGA7 at a heating rate of 10 °C min−1 under a nitrogen gas flow.
Broadband dielectric spectroscopy (BDS) measurements were performed using a Novocontrol Alpha-A Frequency Analyzer equipped with quatro cryosystem temperature control. Samples were prepared by making pellets of the polymers with the aid of a hydraulic press, sandwiching between two metal electrodes with 100 μm glass fibres as spacers, and melt pressing in the 110 °C to 130 °C temperature range. Dielectric spectra were obtained by applying an external electric field of 10 kV m−1 in a frequency and temperature range of 0.1 to 1 MHz and −100 to 160 °C, respectively.
A 200 ml round bottom flask was charged with 4H-PMal intermediate (15.00 g, 87 mmol), ethanolamine (44.7 ml, 745 mmol) and methanol (100 ml). The reaction was refluxed at 70 °C for 2 h and then it was left to stand overnight. The separated solid was collected by filtration, dried, and recrystallized in ethanol to give compound 1 as brown flakes (yield 60%). 1H NMR (DMSO-d6) δ 6.68 (s, 2H, Ar–H), 5.17 (t, J = 5.4 Hz, 1H, OH), 4.17 (t, J = 5.6 Hz, 2H, N–CH2), 3.70 (q, J = 5.4 Hz, 2H, CH2–OH), 2.53 (s, 6H, Ar–CH3); 13C NMR (DMSO-d6) δ 155.40 (CArC(CN)2), 150.92 (CAr–CH3), 119.43 (CN), 113.07 (CAr–H), 59.76 (C(CN)2 and CH2–OH), 51.13 (N–CH2), 21.03 (Ar–CH3); MS (ESI) m/z calcd for C12H13N3NaO [M + Na]+: 238.0951; found: 238.0950; Anal. Calcd for C12H13N3O (%): C 66.96, H 6.09, N 19.52, O 7.43; found: C 66.91, H 6.01, N 19.43, O 7.31. (Fig. S1–S6, ESI†).
NBE-1 was obtained as a light yellow powder (59% yield): 1H NMR δ: 6.65 (s, 2H), 6.19 (ddd, J = 12.9, 5.7, 3.0 Hz, 1H), 5.96 (ddd, J = 117.3, 5.7, 3.0 Hz, 1H), 4.41–4.18 (m, 4H), 3.22–3.07 (m, 1H), 3.01–2.87 (m, 2H), 2.53 (s, 6H), 1.94 (ddd, J = 11.8, 9.4, 3.7 Hz, 1H), 1.52–1.25 (m, 3H). 13C NMR (101 MHz, Chloroform-d) δ 175.78, 174.23, 156.07, 147.86, 147.84, 138.42, 138.31, 135.38, 131.80, 118.36, 113.85, 113.83, 61.17, 61.07, 49.74, 46.83, 46.74, 46.53, 46.36, 45.72, 43.17, 42.85, 42.48, 41.59, 30.59, 29.41, 21.01, 20.99. MS (ESI) m/z calcd for C20H21N3NaO2 [M + Na]+: 358.1526; found: 358.1529. Anal. Calcd for C20H21N3O2 (%): C 71.62, H 6.31, N 12.53, O 9.54; found: C 71.47, H 6.37, N 12.53 O 9.26. Refractive index: 1.565; density: 1.238.
NBE-2 was obtained as a viscous yellow liquid (92% yield): 1H NMR δ 8.18–8.10 (m, 2H), 6.74–6.66 (m, 2H), 6.16 (ddd, J = 14.8, 5.7, 3.0 Hz, 1H), 6.10–5.81 (m, 1H), 4.36–4.19 (m, 2H), 3.78–3.65 (m, 2H), 3.14 (d, J = 2.2 Hz, 4H), 2.97–2.86 (m, 2H), 1.94–1.80 (m, 1H), 1.48–1.40 (m, 1H), 1.41–1.23 (m, 2H). 13C NMR (101 MHz, CDCl3) δ 176.14, 174.66, 153.43, 138.16, 138.07, 137.43, 135.54, 132.09, 126.18, 126.16, 110.53, 110.50, 60.98, 60.82, 50.90, 50.85, 49.68, 46.48, 46.36, 45.65, 43.28, 43.05, 42.50, 41.58, 38.97, 38.96, 30.37, 29.27. MS (ESI) m/z calcd for C17H20N2NaO4 [M + Na]+: 339.1315; found: 339.1315. Anal. Calcd for C17H20N2O4 (%): C 64.54, H 6.37, N 8.86, O 20.23; found: C 64.68, H 6.54, N 8.92. Refractive index: 1.582; density: 1.237.
NBE-3 was obtained as a reddish powder (95% yield): 1H NMR δ 8.43–8.24 (m, 2H), 8.04–7.82 (m, 4H), 6.90–6.74 (m, 2H), 6.24–6.13 (m, 1H), 6.01 (ddd, J = 77.5, 5.7, 3.0 Hz, 1H), 4.30 (dt, J = 26.8, 6.3 Hz, 2H), 3.70 (dt, J = 15.8, 6.3 Hz, 2H), 3.56 (q, J = 7.2 Hz, 2H), 3.24–3.10 (m, 1H), 3.05–2.87 (m, 2H), 2.02–1.89 (m, 2H), 1.44 (ddd, J = 11.1, 7.6, 4.1 Hz, 2H), 1.28 (t, J = 7.1 Hz, 3H). 13C NMR (101 MHz, CDCl3) δ 175.69 (d, J = 106.1 Hz), 174.71, 156.76, 151.32, 147.36, 143.82, 138.14, 138.02, 136.86, 135.63, 132.53, 132.19, 126.27, 124.66, 122.64, 111.47, 61.32, 61.18, 55.94, 55.74, 49.81, 49.76, 49.70, 48.85, 48.79, 46.81, 46.57, 46.39, 45.71, 45.65, 45.61, 44.36, 43.31, 43.08, 42.75, 42.54, 41.63, 34.94, 33.97, 32.87, 32.80, 31.27, 31.14, 30.85, 30.44, 29.29, 26.48, 26.41, 25.53, 25.47, 25.40, 24.99, 24.86, 24.70, 12.30. MS (ESI) m/z calcd for C24H26N4NaO4 [M + Na]+: 457.1846; found: 457.1848. Anal. Calcd. for C24H26N4O4 (%): C 66.34, H 6.03, N 12.89, O 14.73; found: C 67.97, H 6.94, N 12.13. Refractive index: 1.422; density: 1.185.
NBE-4 was obtained as a viscous, slightly yellow liquid (90% yield): 1H NMR δ 6.28–6.15 (m, 1H), 6.14–5.88 (m, 1H), 5.02–4.84 (m, 1H), 4.57 (td, J = 8.6, 2.8 Hz, 1H), 4.44–4.16 (m, 3H), 3.32–3.18 (m, 1H), 3.09–2.99 (m, 1H), 2.95 (dp, J = 5.3, 2.2 Hz, 1H), 2.01–1.88 (m, 1H), 1.45 (ddddd, J = 18.6, 9.5, 6.8, 5.2, 2.1 Hz, 2H), 1.30 (dq, J = 8.3, 1.7 Hz, 1H). 13C NMR δ 175.79, 174.25, 154.47, 138.34, 138.20, 138.15, 135.51, 132.14, 131.96, 73.92, 73.90, 73.89, 73.84, 66.02, 65.99, 62.98, 62.87, 49.79, 49.72, 46.66, 46.63, 46.37, 45.84, 43.20, 43.18, 42.93, 42.51, 42.50, 41.65, 30.47, 29.23. MS (ESI) m/z calcd for C12H14NaO5 [M + Na]+: 261.0733; found: 261.0731. Anal. Calcd for C12H14O5 (%): C 60.50, H 5.92, O 33.58; found: C 60.83, H 6.22. Refractive index: 1.482; density: 1.268.
NBE-5 was obtained as a colourless liquid (81% yield): 1H NMR δ: 6.21 (ddd, J = 22.6, 5.7, 3.0 Hz, 1H), 6.03 (ddd, J = 66.8, 5.7, 3.0 Hz, 1H), 4.60–4.43 (m, 2H), 3.39–3.28 (m, 2H), 3.22 (dq, J = 3.6, 2.0 Hz, 1H), 3.09–2.98 (m, 1H), 3.02 (s, 3H), 2.98–2.93 (m, 1H), 2.01–1.88 (m, 1H), 1.56–1.36 (m, 2H), 1.34–1.25 (m, 1H). 13C NMR δ 175.57, 174.02, 138.29, 138.24, 135.51, 132.01, 57.83, 57.70, 54.04, 49.72, 46.50, 46.40, 45.77, 43.21, 42.94, 42.54, 42.30, 42.27, 41.63, 30.50, 29.31. MS (ESI) m/z calcd For C11H16NaO4S [M + Na]+: 267.0662; found: 267.0662. Refractive index: 1.475; density: 1.267.
NBE-6 was obtained as a colourless liquid (89% yield): 1H NMR δ 6.20 (ddd, J = 23.0, 5.7, 3.0 Hz, 1H), 6.06 (ddd, J = 60.4, 5.7, 2.9 Hz, 1H), 4.35–4.18 (m, 2H), 3.27 (dq, J = 3.8, 2.1 Hz, 1H), 3.11–2.98 (m, 1H), 2.98–2.91 (m, 1H), 2.72 (dt, J = 16.1, 6.3 Hz, 2H), 2.00–1.90 (m, 1H), 1.55–1.38 (m, 2H), 1.31 (dt, J = 8.2, 1.6 Hz, 1H). 13C NMR δ: 175.77, 174.25, 138.20, 138.11, 135.61, 132.18, 116.89, 116.86, 58.59, 58.47, 49.72, 46.71, 46.36, 45.79, 43.17, 42.95, 42.55, 41.67, 30.41, 29.24, 18.10, 18.08. MS (ESI) m/z calcd for C11H13NNaO2 [M + Na]+: 214.0838; found: 214.0839. Refractive index: 1.482; density: 1.133.
ID | [M]:[Cat] | Cat. | n | M n (Da) | PDI | Yield (%) |
---|---|---|---|---|---|---|
a GPC in 20 mM sodium trifluoroacetate in HFIP. b GPC in THF. c GPC in HFIP as eluents. The broad PDI observed for same samples may be due to the difficulties faced in solubilizing some samples in the elution solvent or due to chain transfer reactions. | ||||||
PNBE-2 | 75:1 | Ru-I | 99 | 31300a | 1.29 | 92 |
PNBE-2 | 150:1 | Ru-I | 194 | 61300a | 1.36 | 95 |
PNBE-2 | 200:1 | Ru-III | 198 | 62800a | 2.40 | 94 |
PNBE-2 | 300:1 | Ru-I | 565 | 178700a | 1.51 | 96 |
PNBE-2 | 400:1 | Ru-III | 403 | 127600a | 2.40 | 97 |
PNBE-2 | 800:1 | Ru-III | 1161 | 367400a | 1.59 | 96 |
PNBE-3 | 150:1 | Ru-I | 117 | 50700b | 1.46 | 90 |
PNBE-3 | 200:1 | Ru-III | 120 | 52200b | 1.33 | 95 |
PNBE-3 | 300:1 | Ru-I | 134 | 58300b | 1.87 | 93 |
PNBE-3 | 400:1 | Ru-III | 205 | 88900b | 1.46 | 97 |
PNBE-3 | 800:1 | Ru-III | 490 | 213000b | 1.56 | 98 |
PNBE-4 | 75:1 | Ru-I | 131 | 31100c | 1.60 | 93 |
PNBE-4 | 150:1 | Ru-I | 146 | 34900c | 1.91 | 92 |
PNBE-4 | 200:1 | Ru-III | — | — | — | 94 |
PNBE-4 | 300:1 | Ru-I | 136 | 32400c | 1.81 | 93 |
PNBE-4 | 400:1 | Ru-III | — | — | — | 95 |
PNBE-4 | 800:1 | Ru-III | — | — | — | 95 |
PNBE-5 | 200:1 | Ru-III | 177 | 43200a | 2.48 | 96 |
PNBE-5 | 400:1 | Ru-III | 302 | 73800a | 2.41 | 95 |
PNBE-5 | 800:1 | Ru-III | 1956 | 257900a | 1.54 | 97 |
PNBE-6 | 200:1 | Ru-III | 187 | 35700b | 1.69 | 97 |
PNBE-6 | 400:1 | Ru-III | 276 | 52800b | 1.88 | 96 |
PNBE-6 | 800:1 | Ru-III | 470 | 89900b | 2.03 | 97 |
PNBE-2 was obtained as a green solid (98% yield). 1H NMR (DMSO) δ: 7.94 (br s, 2H), 6.71 (br s, 2H), 5.01 (br d, J = 45.8 Hz, 2H), 4.09 (br d, J = 68.8 Hz, 2H), 3.66 (br s, 2H), 2.99 (br s, 3H), 2.93–2.16 (br m, 3H), 2.07–0.55 (br m, 4H). 13C NMR (DMSO) δ: 175.03, 174.00, 154.02, 136.30, 134.54, 133.51, 132.71, 130.76, 129.51, 126.09, 111.07, 61.23, 50.41, 48.10, 44.95, 42.27, 38.88, 37.49, 36.38. (Fig. S45–S47, ESI†).
PNBE-3 was obtained as a dark red solid (95% yield).1H NMR δ: 8.26 (br d, J = 9.0 Hz, 2H), 7.87 (br s, 4H), 6.78 (br d, J = 12.2 Hz, 2H), 5.28 (br dd, J = 44.0, 21.3 Hz, 2H), 4.45–3.87 (br m, 2H), 3.56 (br d, J = 55.7 Hz, 4H), 3.26–2.61 (br m, 3H), 1.85 (br d, J = 86.3 Hz, 4H), 1.46–1.10 (br m, 3H). 13C NMR δ: 174.28, 156.47, 154.00, 151.31, 147.31, 143.67, 134.52, 133.31, 132.48, 130.71, 129.80, 126.40, 124.64, 122.57, 111.50, 60.93, 50.12, 48.71, 45.61, 42.71, 40.51, 37.70, 36.10, 32.77, 31.11, 26.18, 25.45, 24.83, 12.36. (Fig. S48–S50, ESI†).
PNBE-4 was obtained as an off-white solid (98% yield).1H NMR (DMSO) δ: 5.60–4.88 (br m, 3H), 4.58 (br q, J = 7.8 Hz, 1H), 4.45–4.00 (br m, 3H), 3.01 (br t, J = 65.8 Hz, 3H), 2.19–1.06 (br m, 4H). 13C NMR (DMSO) δ: 174.86, 173.93, 155.11, 135.27, 134.91, 133.75, 132.89, 132.04, 130.98, 129.76, 129.30, 74.77, 74.69, 74.61, 66.51, 66.46, 63.76, 63.66, 49.96, 48.32, 48.08, 45.35, 42.28, 40.89, 40.75, 37.50, 36.48, 35.94, 35.53. (Fig. S51–S53, ESI†).
PNBE-5 was obtained as an off-white solid (96% yield). 1H NMR (DMSO) δ: 5.58–5.06 (br m, 2H), 4.51–4.12 (br m, 2H), 3.48 (br m, J = 8.9, 7.9 Hz, 2H), 3.02 (br s, J = 5.2 Hz, 3H), 3.28–2.53 (br m, 3H), 2.13–1.19 (br m, 4H). 13C NMR (DMSO) δ: 174.90, 173.89, 135.18, 131.03, 129.88, 58.18, 57.87, 53.20, 53.12, 47.96, 42.22, 42.14, 42.07, 37.48, 36.47, 35.90. (Fig. S54–S56, ESI†).
PNBE-6 was obtained as an off-white solid (95% yield). 1H NMR (DMSO) δ: 5.59–5.03 (br m, 2H), 4.17 (br dddd, J = 32.8, 15.8, 11.1, 5.4 Hz, 2H), 3.29–2.54 (br m, 5H), 2.14–1.33 (br m, 4H). 13C NMR (DMSO) δ: 174.99, 173.94, 133.80, 132.87, 130.99, 129.75, 118.94, 59.39, 59.24, 59.19, 47.99, 45.39, 42.41, 37.48, 36.51, 35.96, 17.96, 17.88. (Fig. S57–S59, ESI†).
Homopolymerization of NBE-X was carried out with Grubbs I and III catalysts in DCM at 40 °C for 18 h. Ethyl vinyl ether was used as a quencher. The polymers were isolated in yields of over 90%. Clear evidence for polymerization is provided by 1H NMR spectroscopy images of the vinylene groups. While those of the monomers appear at δ = 5.8–6.5 ppm those of the polymer absorb at δ = 5.4 ppm. Additionally, all signals of the polymers are broadened. Fig. 1 shows representative 1H NMR spectra of monomer NBE-3 and of polymer PNBE-3. Because the molecular weights of the prepared polymers were relatively high, end groups could not be detected in the 1H NMR spectra. It must be stated that the polymerization of the NBE-1 monomer was unsuccessful. A possible reason might be the stabilization of the reactive metal–carbene complex center by this monomer, thereby inhibiting the polymerization propagation step.
Fig. 1 1H NMR spectra in CDCl3 of monomer NBE-3 (top) and its corresponding polymer PNBE-3 (bottom). |
The polymerizations were conducted using varying monomer/catalyst ratios (Table 1). The molecular weights (Mn) and polydispersities (PDI) were determined by GPC in THF, HFIP, or 20 mM sodium trifluoroacetate solution in HFIP using polystyrene and poly(methyl methacrylate) standards (Table 1). Fig. 2a shows the GPC elugrams of PNBE-3 of different molecular weights. For all other elugrams see the ESI.† The molecular weights of the polymers increased with increasing monomer/catalyst ratio. The molecular weights calculated based on the ratio of monomer to catalyst are generally higher than those measured by GPC, which is expected as the GPC is a relative method and the standards used for calibration have a different chemical structure. Some polymers show bimodality, presumably due to chain transfer reactions in the later stage of the polymerization.
Fig. 2 Molecular weight and thermal characterization; (a) GPC elugrams of PNBE-3 polymers using different monomer/catalyst ratios; (b) DSC curves and (c) TGA thermograms of PNBE-X. |
The thermal behavior of PNBE-X was investigated by differential scanning calorimetry (DSC) and thermogravimetric analysis (TGA) (Fig. 2b and c, Fig. S60–S69, ESI†). All polymers are amorphous and show a Tg. Fig. 2b shows the DSC curves of polymers PNBE-X. The corresponding Tg and ΔCp values of the transitions are listed in Table 2. The lowest Tg of 62 °C was measured for PNBE-6 that carries nitrile groups, while the highest Tg of 106 °C was measured for PNBE-3, which has N-ethyl-N-(2-hydroxyethyl)-4-(4-nitrophenylazo)aniline (disperse red 1) as a dipole. TGA was carried out to test the thermal stability and decomposition behavior. Polymers PNBE-2, PNBE-4, and PNBE-5 turned out to be stable up to a temperature of 290 °C (Fig. 2c), while polymers PNBE-6 and PNBE-3 decompose above 200 °C. The molecular weight of the polymers has a negligible impact on thermal behavior, which indicates that the synthesized polymers are in the polymeric regime, where the Tg is molecular weight independent.
Sample | M n (Da) | T g [°C] | T g [°C] | ΔCp [J g−1 °C−1] | T d,5% [°C] | E a [kJ mol−1] | ε′e | Δεmaxf |
---|---|---|---|---|---|---|---|---|
a T g taken from DSC measurements. b T gs for the 2nd heating and. c 1st cooling profile in the DSC. d Estimated by impedance spectroscopy (IS). e Taken at 25 °C. f Taken at maximum relaxation. | ||||||||
PNBE-2 | 178700 | 80b/68c | 73 | 0.34 | 294 | 44.15 ± 0.36 | 3.37 | 19.06 |
PNBE-3 | 213000 | 106b/95c | 77 | 0.34 | 222 | 49.66 ± 0.35 | 3.84 | 15.08 |
PNBE-4 | 32400 | 87b/76c | 76 | 0.31 | 289 | 36.08 ± 0.64 | 4.97 | 11.24 |
PNBE-5 | 73800 | 68b/56c | — | 0.23 | 294 | 46.50 ± 0.70 | 4.78 | — |
PNBE-6 | 52800 | 62b/52c | — | 0.25 | 254 | 38.66 ± 0.70 | 8.93 | — |
Broadband dielectric spectroscopy (DBS) was applied at temperatures between −100 °C and 140 °C to identify the type of mobile segments in the polymers and elucidate the dynamic changes. The measurements were conducted in capacitor geometry, where 100 μm thick films of PNBE-X were placed between two metal electrodes with a diameter of 20 mm. The PNBE-X polymers show several relaxation processes within the set temperature range. Fig. 3 gives an illustration of how the real part ε′ and imaginary part ε′′ of the complex permittivity, the real part of the conductivity σ′ and the loss tangent tanδ evolve with the temperature at different frequencies for PNBE-2. Generally, there is a noticeable increase in ε′ with increasing temperature over the specified frequency range, as shown in Fig. 3a. However, the ε′ remains virtually constant from −60 °C to 70 °C because the orientation motions are restricted to small angles. Above 70 °C the increment becomes very pronounced, which is attributed to the thermal activation of the dipole motions in the polymer. Thus, the presence of pendant dipolar moieties on the polymer chains experiences enough hindrances, which impose potential energy barriers to their mobility below certain temperatures. Such energy impositions are dependent on the packing density, the intrinsic chain flexibility, rotational restrictions, softness of potential related to angle changes, and the intra- and intermolecular dipole interactions.31,33
Fig. 3 Isothermal dielectric response of PNBE-2 as a function of frequency; (a) real permittivity ε′, (b) dielectric loss ε′′, (c) real conductivity σ′ and (d) loss tanδ. |
Adding enough thermal energy to the system helps overcome these energy barriers, and segmental rotation allows reorientation of the dipoles reflected in an increased polarization. Thus, the orientation polarization of the dipoles occurs above Tg. The relaxation peak for the orientation polarization process is shifted to higher frequencies with increasing temperature. Above 100 °C, the ionic conductivity contributes to the increase in dielectric permittivity at low frequencies. This is also supported by the dielectric loss, which shows an increase at low frequencies with a slope approximation of −1 and a sudden increase in the conductivity of the material, as shown in Fig. 3b–d. The temperature increases the ionic conductivity and shifts this process to higher frequencies.
To relate the bulk dielectric behavior of PNBE-X polymers with respect to structural and molecular motions of their dipolar segments, an approximation was made by fitting the experimental data with a Havriliak–Negami (HN) relaxation function. This was achieved through fitting isothermal data of ε′′ by a superposition of the HN-function and a conductivity contribution as shown in eqn (2) below34
(2) |
Generally, two distinct regimes revealing molecular motions responsible for α- and β-relaxation processes in glass-forming materials were easily fitted, as illustrated in Fig. 4a. Complete sets of fits for all polymers can be found in the ESI† (Fig. S70–S82). The relaxation times for the β-processes, as shown in Fig. 4b, exhibit Arrhenius temperature dependences over the temperature range in which the process is resolvable. The Arrhenius fits describe the experimentally determined relaxation times. The activation energies, which depend on both internal rotational barriers and the environment of the dipolar fluctuating unit, obtained from the fitting for the PNBE-X polymers are listed in Table 2. In contrast, the α-relaxation processes for PNBE-X polymers exhibit clear non-Arrhenius temperature dependencies, well represented by a Vogel–Fulcher–Tammann (VFT) fit function with parameters in good agreement with experimental values as shown in Fig. 4c. The degree of deviation from an Arrhenius-type temperature dependence provides a useful classification of glass-forming systems. Additionally, at the calorimetric glass transition temperature Tg, the α-relaxation reaches a peak frequency approximated to 10−3 Hz.34 The Tg of glass-forming materials can be extrapolated from the α-relaxation processes obeying a VFT-temperature dependence. As a result, the Tg for PNBE-2, PNBE-3, and PNBE-4 could be estimated by DBS techniques as listed in Table 2. While the β-processes are believed to be due to localized motions of the pendant dipolar moieties, the α-processes are attributed to segmental relaxations of the polymer chains. For amorphous polymers, Δε is said to decrease with increasing temperature above Tg.34Fig. 4d shows the temperature dependence of Δε for PNBE-2, PNBE-3, and PNBE-4 polymers within the α-relaxation regime. This temperature dependency was more pronounced in PNBE-2 polymer than in the PNBE-3 and PNBE-4 polymers. The maximum dielectric relaxation strengths were estimated to be 19.06, 15.08, and 11.24 for PNBE-2, PNBE-3, and PNBE-4, respectively. For PNBE-5 and PNBE-6 we could not assess the relaxation strength because of the high ionic conductivity of the samples.
To clarify the observed trend in dielectric relaxation strengths Δε of PNBE-X polymers, the molecular dipole moments of the corresponding NBE-X monomers were evaluated experimentally. The Δε is proportional to the dipole moments of contributing dipolar units within a material.34 The dipole moments of NBE-X were determined from dielectric spectroscopy measurements of solutions of NBE-X in chloroform at ambient temperature and 105 Hz. To avoid dipolar interactions, dilute solutions of the monomers in chloroform were prepared. The dielectric permittivity was measured as a function of solute concentration, as shown in Fig. 4e. Dipole moments were thereafter estimated by modified Onsager equation according to Böttcher35,36 and a model according to Hedestrand–Guggenheim–Smith.37,38 The obtained results are listed in Table 3. For the equations used, please see ESI.† The dipole moment was obtained from the slope of ε′ versus molar concentration (Fig. 4e). As expected, the highest dipole moment was found for NBE-1, but this monomer did not polymerize (Table 3). The second highest dipole was found for NBE-3. However, this high dipole moment is not reflected in the relaxation strength of PNBE-3, which was lower than for NBE-2, which has a lower dipole moment. The low relaxation strength of PNBE-3 may be related to the different dipole moments of cis–trans isomers of disperse red 1 or the antiparallel orientation of the dipoles, which is likely favored by the π–π interactions.
Monomer | ρ [g cm−3] | n | Dipole moment (Debye) | |
---|---|---|---|---|
μ HGS | μ Böttcher | |||
NBE-1 | 1.238 | 1.565 | 12.21 ± 2.38 | 11.54 ± 1.09 |
NBE-2 | 1.237 | 1.582 | 8.67 ± 1.26 | 9.34 ± 1.28 |
NBE-3 | 1.185 | 1.422 | 11.54 ± 1.37 | 10.90 ± 1.76 |
NBE-4 | 1.268 | 1.482 | 4.52 ± 0.87 | 7.67 ± 1.47 |
NBE-5 | 1.267 | 1.475 | 6.41 ± 1.32 | 8.63 ± 1.51 |
NBE-6 | 1.133 | 1.482 | 3.00 ± 0.42 | 7.07 ± 1.63 |
Footnote |
† Electronic supplementary information (ESI) available: 1H and 13C NMR spectra, MS, elemental analysis, DSC, TGA, impedance spectroscopy data. See DOI: 10.1039/d1ma00704a |
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