Colorless Polyimides Derived from Novel Role-Dividing Spiro-Type Monomers: Strategies to Overcome the Trade-Off Between Low Linear Coefficients of Thermal Expansion and Low Thickness-Direction Birefringence Without Fillers
Abstract
This study presents unique polymeric materials applicable to plastic substrates for use in flexible-display devices that overcome the trade-off between low linear coefficients of thermal expansion (CTE) and low thickness-direction birefringence (Δnth) while combining a very high Tg, sufficiently high thermal stability, excellent optical transparency, good solubility, and minimum-required ductility. Polyimide (PI) films obtained from 1,2,3,4-cyclobutanetetracarboxylic dianhydride (CBDA) with 2,2′-bis(trifluoromethyl)benzidine (TFMB) under different conditions resulted in widely varying CTE values and provided a clear CTE–Δnth correlation, which can be regarded as a virtual lower boundary in the CTE–Δnth relationship for various PI systems. The pristine CBDA/TFMB and CpODA/TFMB (CpODA = norbornane-2-spiro–α-cyclopentanone-α′-spiro-2″-norbornane-5,5″,6,6″-tetracarboxylic dianhydride) systems were modified using numerous specifically designed monomers, i.e., a vertical-alignment-type liquid-crystalline diamine and cardo-type and spiro-type monomers. However, it was very challenging to overcome the trade-off between low CTE and low Δnth, that is, to significantly exceed this lower boundary by modifying the pristine systems, while ensuring other target properties. One of the keys to achieving the present goal was compatibility with chemical imidization or one-pot polymerization processes (i.e., high solubility of the PIs), because these processes were more advantageous in reducing CTE and enhancing film transparency than the conventional two-step process. The modifications using phenyl-substituted xanthene-pendant 2,7-diaminofluorene and fluorene-pendant 2,3,6,7-xanthenetetracarboxylic dianhydride exhibited a prominent effect on overcoming the trade-off without the help of any fillers, while combining other excellent target properties. Polarized FT-IR difference spectra measured at varying incidence angles suggested that these side groups, which are connected perpendicularly to the PI main chains, align in the Z-direction, rationalizing the observed prominent effect. Thus, unique high-temperature transparent materials applicable to plastic substrates were successfully obtained in this study.
Article type: Research Article
Keywords: colorless polyimides, role-dividing, optical transparency, heat resistance, linear coefficients of thermal expansion (CTE), thickness-direction birefringence (∆, solution processability, plastic substrates for flexible displays
License: © 2026 by the authors. CC BY 4.0 Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Article links: DOI: 10.3390/polym18091108 | PubMed: 42122732 | PMC: PMC13165796
Relevance: Relevant: mentioned in keywords or abstract
Full text: PDF (45.7 MB)
1. Introduction
In recent years, optically transparent (colorless and non-turbid) plastic substrates, alternatives to conventional heavy/fragile non-alkali glass substrates [ref. 1], have been widely investigated as a key material for flexible-display devices [ref. 2,ref. 3,ref. 4,ref. 5]. The present study focuses on the development of novel plastic substrates with unprecedented excellent combined properties for use in flexible displays, in particular, flexible liquid-crystal displays (LCDs).
Commercially available conventional colorless resins are not addressed directly to plastic substrates owing to their insufficient heat resistance (glass transition temperature, Tg). For example, even poly(ether sulfone), which has the highest Tg (225 °C [ref. 6]) among current super-engineering plastics, is inadequate owing to its insufficient Tg for multiple high-temperature processes during device fabrication. Wholly aromatic polyimides (PIs) are the only polymeric materials suitable for the present purpose in terms of heat resistance. However, as typically demonstrated by commercially available PI films (KAPTON® H [ref. 7] and UPILEX®-S films [ref. 8]), wholly aromatic PI films are intensely colored owing to charge-transfer (CT) interactions based on their electron donor–acceptor chain sequences [ref. 9,ref. 10,ref. 11,ref. 12], except for a fluorinated PI system derived from 4,4′-(hexafluoroisopropylidene)diphthalic anhydride (6FDA) with 2,2′-bis(trifluoromethyl)benzidine (TFMB) [ref. 9]. Therefore, conventional wholly aromatic PI films are also not applicable to plastic substrates.
The coloration of the PI films can be effectively suppressed by disrupting the CT interactions, specifically, by replacing one (or both) of the aromatic monomers (aromatic tetracarboxylic dianhydrides (TCDA) or aromatic diamines) with aliphatic ones [ref. 10]. Numerous optically transparent (colorless) semi- or wholly cycloaliphatic (alicyclic) PIs have been produced using this method [ref. 13,ref. 14,ref. 15,ref. 16,ref. 17,ref. 18,ref. 19,ref. 20,ref. 21,ref. 22,ref. 23,ref. 24,ref. 25,ref. 26,ref. 27,ref. 28,ref. 29,ref. 30,ref. 31,ref. 32,ref. 33,ref. 34,ref. 35,ref. 36,ref. 37,ref. 38,ref. 39,ref. 40,ref. 41,ref. 42,ref. 43,ref. 44,ref. 45,ref. 46,ref. 47,ref. 48]. However, critical challenges can occur during the production of colorless PIs; in the combinations of aromatic TCDAs with aliphatic diamines (called semi-cycloaliphatic PIs (A-type) in this paper) or aliphatic TCDAs with aliphatic diamines (wholly cycloaliphatic PIs), insoluble salts formed during the polymerization of the PI precursors (poly(amic acid)s, PAAs) hinder the smooth progress of the polymerization owing to their precipitation [ref. 32]. In contrast, the combinations of aliphatic (usually cycloaliphatic to assure heat resistance) TCDAs with aromatic diamines (called semi-cycloaliphatic PIs (B-type) in this paper) ensure smooth polymerization [ref. 47,ref. 48]. From this overwhelming manufacturing advantage, semi-cycloaliphatic colorless PIs (B-type) were the focus of this study.
The main required properties of our target materials are summarized in Figure 1. In addition to excellent short-term heat resistance (extremely high Tg), thermal dimensional stability is essential. This can be ensured by reducing the linear coefficients of thermal expansion (CTE) in the film plane (XY-direction) in the glassy temperature region (T < Tg), (typically CTE < 20 ppm/K). The poor thermal dimensional stability of plastic substrates can lead to serious problems, such as delamination, circuit misalignment, and transparent electrode breakdown, over multiple thermal cycles in device fabrication processes. Linear and rigid main-chain structures are essential to obtain PI films that exhibit significantly reduced CTEs [ref. 49,ref. 50,ref. 51].

In addition, the plastic substrates used in flexible LCDs also require suppressing the thickness-direction birefringence (∆nth), which significantly deteriorates the image contrast at high viewing angles. However, the simultaneous achievement of low CTE and low ∆nth is extremely challenging because there is a trade-off relationship between them; the significant XY-direction main-chain alignment (in-plane orientation), which is essential for achieving a low CTE, unavoidably causes an increase in the ∆nth. Furthermore, as shown in Figure 1, the molecular design strategies targeting low CTE also usually lead to the deterioration of film toughness and solution processability (solubility). Therefore, it is difficult to simultaneously achieve the selected targets to the right in this figure and a low CTE [ref. 47,ref. 48]. Conventional non-alkali glass substrates do not suffer from this trade-off because they inherently have virtually zero birefringence and a very low CTE, although they are fragile and heavy.
To overcome the above-mentioned trade-off, inorganic fillers (preferably nano-fillers) with an originally low CTE are often dispersed into colorless matrix resins at high contents to reduce the CTE of the resulting resin/filler composites [ref. 52,ref. 53,ref. 54,ref. 55]. However, this approach has limitations because excessive filler loading can lead to significant increases in turbidity due to filler aggregation, embrittlement of the resulting films, and filler dropout. Currently, there is no accepted method for simultaneously significantly reducing the CTE and ∆nth of neat resins without the help of fillers or mechanical stretching. A copolymerization approach using multiple monomers is often effective in improving the properties of PI films, as illustrated in KAPTON® EN (quaternary copolymer, Toray Kapton Co., Tokyo, Japan) [ref. 56]. However, it is extremely difficult to overcome the trade-off between low CTE and low ∆nth even by simple copolymerization using multiple existing monomers. Therefore, there is an urgent need for new functional monomers that are effective in simultaneously reducing the CTE and ∆nth.
In this study, we aimed to overcome the trade-off between low CTE and low ∆nth through a combination of self-orientation behavior of specific PIs during solution casting, molecular designs of specially shaped monomers, and optimally selected polymerization processes. Our strategy for the present purpose is illustrated in Figure 2. We relied on the concept of “role-dividing.” That is, the semi-aromatic PI main chains are responsible for ensuring low CTE by their own in-plane orientation (chain alignment in the XY-direction), while the highly polarized aromatic side groups play a role in negating the XY-direction polarization arising from the main-chain in-plane orientation through the vertical (Z-direction) alignment of the side-group long axis.

2. Experimental Section
2.1. Materials
2.1.1. Monomer Synthesis
A series of modifier monomers used in this study were synthesized using the raw materials listed in Table S1, as described below.
- Vertical-alignment-type diamines
This type of diamine containing an n-hexyl group was synthesized according to the reaction scheme (Figure 3) through the following intermediates.

C6-BPOH. In a three-neck flask, a large excess of 4,4′-biphenol (44BP, 75 mmol, 13.97 g) was dissolved in anhydrous N,N-dimethylformamide (DMF, 34.5 mL) in the presence of K2CO3 (75 mmol, 10.40 g). In another flask, 1-bromohexane (BrC6, 15 mmol, 2.48 g) was dissolved in DMF (24.6 mL). To the 44BP solution kept at 100 °C, the BrC6 solution was gradually added over 30 min using a dropping funnel, followed by refluxing at 140 °C for 3 h in an N2 atmosphere. The reaction mixture was gradually poured into a large quantity of water. The precipitate yielded was collected by filtration, repeatedly washed with water, and dried at 100 °C for 12 h under vacuum. The crude product was dissolved in toluene to remove an undissolved portion (44BP) by filtration. The crude product obtained via solvent removal was recrystallized from a mixed solvent of toluene/cyclohexane (1/1, v/v), followed by additional recrystallization from γ-butyrolactone (GBL)/water (1/1, v/v), which was effective at purifying. The white plate crystals obtained were dried at 100 °C for 12 h under vacuum (yield: 47%).
The analytical data of the product are as follows. Melting point (Tm) determined from a sharp endothermic peak temperature by differential scanning calorimetry (DSC) at a heating rate of 5 °C/min: 159 °C. FT-IR (KBr plate method, cm−1): 3384 (O–H, stretching vibration), 2954/2933/2866 (Caliph–H), 1609 (biphenylene group), 1503 (1.4-phenylene group), 1250 (CAr–O–Caliph). 1H-NMR [400 MHz, dimethyl sulfoxide (DMSO)-d6, δ, ppm]: 9.43 [s, 1H (relative integrated intensity: 1.00H), OH], 7.47 [d, 2H (2.06H), J = 8.6 Hz, 2,6-protons of the 4-hexanoxyphenyl unit (Ph-OC6)], 7.41 [d, 2H (2.11H), J = 8.5 Hz, 3,5-protons of the terminal phenol unit (PhOH)], 6.95 [d, 2H (2.04H), J = 8.7 Hz, 3,5-protons of Ph–OC6], 6.81 [d, 2H (2.01H), J = 8.7 Hz, 2,6-protons of PhOH], 3.97 [t, 2H (2.15H), J = 6.5 Hz, PhO–CH2–CH2–], 1.71 [quin, 2H (2.12H), J = 7.0 Hz, PhO–CH2–CH2–CH2–], 1.42 [quin (not well-resolved), 2H (2.05H), PhO–(CH2)2–CH2–CH2–], 1.33–1.30 [m, 4H (4.03H), PhO–(CH2)3–CH2–CH2–CH3], 0.88 [t, 3H (3.01H), J = 7.0 Hz, PhO–(CH2)5–CH3]. The results confirm that the product is the desired compound (C6-BPOH) shown in Scheme 1.

35DNB-BPC6. In a septum cap-sealed flask, C6-BPOH (6.63 mmol, 1.792 g) was dissolved in anhydrous tetrahydrofuran (THF, 3.0 mL) in the presence of anhydrous pyridine (9.95 mmol, 0.80 mL) as an HCl acceptor. In another septum cap-sealed flask, 3,5-dinitrobenzoyl chloride (35DNBC, 6.63 mmol, 1.528 g) was dissolved in THF (4.0 mL) and cooled at 0 °C. To this solution, the C6-BPOH was gradually added with a syringe while magnetically stirring. The reaction mixture was diluted with THF (3 mL) and stirred at room temperature for 12 h. The pale-yellowish precipitate yielded was collected by filtration, repeatedly washed with water until the by-produced pyridine–HCl salt was completely removed, and dried at 100 °C for 12 h under vacuum. The analytical data of this product are as follows. Tm = 137 °C (DSC). FT-IR (KBr plate method, cm−1): 2966 (Caliph–H), 1738 (ester group, C=O), 1550/1345 (NO2), 1498 (1.4-phenylene group), 1207 (CAr–O–Caliph). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 9.14–9.10 [m, 3H (3.03H), 2,6- + 4-protons of the 3,5-dinitrobenzoate unit (35DNB)], 7.75 [d, 2H (2.04H), J = 8.6 Hz, 3,5-protons of the central COO-Ph unit], 7.64 [d, 2H (1.85H), J = 8.5 Hz, 2,6-protons of the PhOC6 unit], 7.45 [d, 2H (1.83H), J = 8.7 Hz, 2,6-protons of COO-Ph], 7.04 [d, 2H (1.95H), J = 8.8 Hz, 3,5-protons of PhOC6], 4.02 [t, 2H (2.00H), J = 6.5 Hz, PhO–CH2–CH2–], 1.74 [quin, 2H (1.95H), J = 7.0 Hz, PhO–CH2–CH2–CH2–], 1.44–1.32 [m, 6H (5.96H), PhO–(CH2)2–(CH2)3–CH3], 0.89 [t, 3H (3.04H), J = 6.9 Hz, PhO–(CH2)5–CH3]. The results confirm that the product is the desired dinitro compound (35DNB-BPC6) shown in Scheme 2.

35DAB-BPC6. In a three-neck flask, 35DNB-BPC6 (2.24 mmol, 1.041 g) was dissolved in anhydrous DMF (20 mL) in the presence of Pd/C (0.105 g). The reaction mixture was refluxed at 50 °C for 7 h in an H2 atmosphere, while monitoring the progress of the catalytic reduction by thin-layer chromatography (TLC). The residual catalyst was removed by hot filtration. The filtrate was gradually poured into a large quantity of water. The precipitate formed was collected by filtration (yield: 83%) and recrystallized from ethanol, followed by vacuum-drying at 100 °C for 12 h.
The analytical data of the purified product are as follows. Tm = 175 °C (DSC). FT-IR (KBr plate method, cm−1): 3461/3360/3241 (NH2, N–H stretching vibration), 2933/2866 (Caliph–H), 1724 (ester, C=O), 1607 (biphenylene group), 1498 (1,4-phenylene group), 1203 (CAr–O–Caliph). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 7.66 [d, 2H (2.00H), J = 8.6 Hz, 3,5-protons of COO-Ph], 7.60 [d, 2H (1.96H), J = 8.8 Hz, 2,6-protons of PhOC6], 7.24 [d, 2H (1.94H), J = 8.6 Hz, 2,6-protons of COO-Ph], 7.02 [d, 2H (2.00H), J = 8.8 Hz, 3,5-protons of PhOC6], 6.60 [d, 2H (2.00H), J = 2.0 Hz, 2,6-protons of the 3,5-diaminobenzoate unit (35DAB)], 6.11 [t, 1H (1.01H), J = 2.0 Hz, 4-proton of 35DAB], 5.11 [s, 4H (3.85H), NH2], 4.01 [t, 2H (2.04H), J = 6.4 Hz, PhO–CH2–CH2–], 1.73 [quin, 2H (2.02H), J = 7.0 Hz, PhO–CH2–CH2–CH2–], 1.43 [quin (not well-resolved), 2H, PhO–(CH2)2–CHa2–CH2–], 1.33–1.31 [m, 4H, PhO–(CH2)3–CHb2–CHc2–CH3], Ha (2H) + Hb (2H) + Hc (2H) = 6H (5.93H), 0.89 [t, 3H (3.07H), J = 7.0 Hz, PhO–(CH2)5–CH3]. Elemental analysis: Calcd. (%) for C25H28O3N2 (404.51 g/mol): C, 74.23; H, 6.98; N, 6.93. Found: C, 74.21; H, 7.00; N, 6.66. The results confirm that the product is the desired diamine (35DAB-BPC6) shown in Scheme 3.

35DAB-BPC12. An analogue of 35DAB-BPC6, 35DAB-BPC12 with a dodecyl group, was synthesized using C12H25Br in a similar manner. The crude product was recrystallized from a mixed solvent (1,4-dioxane/cyclohexane, 1/2, v/v).
The analytical data of the purified product are as follows. Tm = 170/177 °C (DSC, double endothermic peak). FT-IR (KBr plate method, cm−1): 3456/3356/3221 (NH2, N–H stretching vibration), 3038 (Carom–H). 2923/2852 (Caliph–H), 1721 (ester, C=O), 1607 (biphenylene group), 1497 (1,4-phenylene group), 1232 (CAr–O–Caliph). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 7.66 [d, 2H (1.98H), J = 8.7 Hz, 3,5-protons of the central COO-Ph unit], 7.60 [d, 2H (2.02H), J = 8.8 Hz, 2,6-protons of PhOC6], 7.24 [d, 2H (1.99H), J = 8.7 Hz, 2,6-protons of COO-Ph], 7.01 [d, 2H (2.19H), J = 8.8 Hz, 3,5-protons of PhOC12], 6.60 [d, 2H (2.04H), J = 2.1 Hz, 2,6-protons of 35DAB], 6.11 [t, 1H (1.02H), J = 2.0 Hz, 4-proton of 35DAB], 5.09 [s, 4H (3.94H), NH2], 4.00 [t, 2H (2.04H), J = 6.4 Hz, PhO–CH2–CH2–], 1.73 [quin (not well-resolved), 2H (2.02H), PhO–CH2–CH2–CH2–], 1.42–1.25 [m, 18H (18.46H), PhO–(CH2)2–(CH2)9–CH3], 0.85 [t, 3H (3.04H), J = 6.8 Hz, PhO–(CH2)11–CH3]. Elemental analysis: Calcd. (%) for C31H40O3N2 (488.67 g/mol): C, 76.19; H, 8.25; N, 5.73. Found: C, 76.01; H, 8.46; N, 6.13. The results confirm that the product is 35DAB-BPC12, shown in Scheme 4.

- Cardo-type TCDAs and diamines
Cardo-type ester-linked FL-pendant TCDA (cardo-TA-BPFL) and diamine (cardo-AB-BPFL), and ether-linked diamine (cardo-AP-BPFL) were synthesized according to the reaction scheme (Figure S1) and characterized, as described in Documents S1–S3.
- Spiro-type ester-linked FL-pendant TCDAs and diamines
These monomers (spiro-TA-FLX and spiro-AB-FLX) [ref. 38] were synthesized according to the reaction schemes (Figure 4) through the following intermediates.

FL-DHX. Fluorene (FL)-pendant 3,6-dihydroxy xanthene (FL-DHX), was synthesized as follows. In a three-neck 300 mL flask, 9-fluorenone (9FLN, 39.12 mmol), resorcinol (RC, 313.79 mmol), and 1-dodecanethiol (1.56 mmol) were suspended in water (5.75 mL) and maintained at 55–60 °C. To the reaction mixture, conc. HCl (8.47 mL) was added gradually, and the reaction mixture was refluxed at 55–60 °C for 8 h with continuous stirring. After the addition of water (43.1 mL), the reaction mixture was neutralized with an NaOH aqueous solution in an ice bath. The pale-pink precipitate yielded was collected by filtration, washed with water, and dried at 120 °C for 12 h under vacuum. The precipitate was dissolved in 2-propanol, and an undissolved portion, probably including an orange-colored dimeric by-product [ref. 38] (Figure 4), was removed by filtration. The crude product obtained by solvent removal of the filtrate was recrystallized from a mixed solvent (2-propanol/water, 4/1, v/v). The crystals formed were collected by filtration and dried at 100 °C for 12 h under vacuum (total yield: 74%).
The analytical data of the purified product are as follows. Tm = 265 °C (DSC). FT-IR (KBr plate method, cm−1): 3505/3405 (O–H), 3061/3036 (Carom–H), 1262/1171 (Carom–O–Carom). 1H-NMR [400 MHz, DMSO-d6, δ, ppm]: 9.61 [s, 2H (2.00H), OH], 7.92 [d, 2H (2.04H), J = 7.6 Hz, 4,5-protons of FL], 7.37 [t, 2H (2.07H), J = 7.4 Hz, 3,6-protons of FL], 7.22 [t, 2H (2.07H), J = 7.5 Hz, 2,7-protons of FL], 7.02 [d, 2H (2.03H), J = 7.6 Hz, 1,8-protons of FL], 6.58 [d, 2H (2.04H), J = 2.4 Hz, 4,5-protons of the xanthene (XAN) unit], 6.26 [dd, 2H (2.01H), J = 8.6, 2.4 Hz, 2,7-protons of XAN], 6.03 [d, 2H (2.00H), J = 8.6 Hz, 1,8-protons of XAN]. Elemental analysis: Calcd. (%) for C25H16O3 (364.40 g/mol): C, 82.40; H, 4.43. Found: C, 82.47; H, 4.52. These results confirm that the product is the desired bisphenol (FL-DHX) shown in Scheme 5.

spiro-TA-FLX. A spiro-type ester-linked TCDA was synthesized as follows. In a septum cap-sealed flask, FL-DHX (10.01 mmol) was dissolved in anhydrous THF (47 mL) in the presence of pyridine (4.85 mL, 60 mmol). In another septum cap-sealed flask, trimellitic anhydride chloride (TMAC, 30.09 mmol) was dissolved in anhydrous THF (16.6 mL). To the TMAC solution cooled at 0 °C, the FL-DHX solution was gradually added using a syringe while magnetically stirring, followed by additional stirring at room temperature for 12 h. The precipitate formed was collected by filtration and washed with THF and water. The white precipitate was dried at 160 °C for 12 h under vacuum to ensure ring closure dehydration of a hydrolyzed portion (yield: 67%).
The analytical data of the product are as follows. Tm = 331 °C (DSC). FT-IR (KBr plate method, cm−1): 3066 (Carom–H), 1856/1782 (acid anhydride, C=O), 1739 (ester, C=O), 1493 (phenyl group), 1224/1168 (Carom–O–Carom), and the absence of the absorption bands at 3400–3500 cm−1 (O–H) from the unreacted FL-DHX and ~2600 cm−1 (hydrogen-bonded carboxylic acid, O–H) from the possible by-product due to the hydrolyzed TMAC. 1H-NMR [400 MHz, DMSO-d6, δ, ppm]: 8.62–8.58 [m, 4H (4.01H), 3,3′- + 5,5′-protons of the phthalic anhydride (PAn) unit], 8.27 [d, 2H (2.02H), J = 7.8 Hz, 6,6′-protons of PAn], 8.04 [d, 2H (2.00H), J = 7.8 Hz, 4,5-protons of the fluorene (FL) unit], 7.49–7.46 [m, 4H (4.01H), 3,6-protons of FL + 4,5-protons of XAN], 7.32 [t, 2H (2.02H), J = 7.6 Hz, 2,7-protons of FL], 7.21 [d, 2H (2.02H), J = 7.6 Hz, 1,8-protons of FL], 6.94 [d, 2H (2.00H), J = 8.6 Hz, 2,7-protons of XAN], 6.40 [d, 2H (2.03H), J = 8.6 Hz, 1,8-protons of XAN]. The observed high-magnetic field shift of the 1,8-protons of the FL-pendant XAN (cf. δ = 7.25 ppm for the 1,8-protons of non-substituted xanthene in DMSO-d6 at 400 MHz [ref. 57]) is likely attributed to a shielding effect based on the FL group, which is arranged through the sp3 carbon atom perpendicularly to the XAN molecular plane. A similar effect was observed in the analogues synthesized in this study, as shown later. Elemental analysis: Calcd. (%) for C43H20O11 (712.63 g/mol): C, 72.47; H, 2.83. Found: C, 72.61; H, 2.96. These results confirm that the product is the desired TCDA (spiro-TA-FLX) shown in Scheme 6.

spiro-NB-FLX. In a septum cap-sealed flask, 4-nitrobenzoyl chloride (4NBC, 30.0 mmol) was dissolved in anhydrous THF (9.4 mL). In another septum cap-sealed flask, FL-DHX (10.02 mmol) was dissolved in THF (47.1 mL) in the presence of pyridine (60 mmol). To the 4NBC solution cooled at 0 °C, the FL-DHX solution was gradually added using a syringe while magnetically stirring, followed by additional stirring at room temperature for 12 h. The pale-yellowish precipitate formed was collected by filtration, washed with a small quantity of THF, a large quantity of water, and methanol, and dried at 120 °C for 12 h under vacuum (yield: 68%).
The analytical data of the product are as follows. Tm = 292 °C (DSC). FT-IR (KBr plate method, cm−1): 3075 (Carom–H), 1742 (ester, C=O), 1522/1347 (NO2), 1486 (1,4-phenylene group), 1239/1152 (Carom–O–Carom), and the absence of the absorption bands at 3400–3500 (O–H) from the unreacted FL-DHX. 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 8.41 [d, 4H (4.04H), J = 9.0 Hz, 2,2′,6,6′-protons of the nitrobenzene (NB) group], 8.34 [d, 4H (4.03H), J = 9.0 Hz, 3,3′,5,5′-protons of NB], 8.04 [d, 2H (2.01H), J = 7.6 Hz, 4,5-protons of FL], 7.47 [t, 2H (2.04H), J = 7.5 Hz, 3,6-protons of FL], 7.42 [d, 2H (2.03H), J = 2.4 Hz, 4,5-protons of XAN], 7.31 [t, 2H (2.04H), J = 7.5 Hz, 2,7-protons of FL], 7.20 [d, 2H (2.00H), J = 7.5 Hz, 1,8-protons of FL], 6.89 [dd, 2H (2.05H), J = 8.6, 2.4 Hz, 2,7-protons of XAN], 6.39 [d, 2H (2.00H), J = 8.6 Hz, 1,8-protons of XAN]. These results confirm that the product is the desired dinitro compound (spiro-NB-FLX) shown in Scheme 7.

spiro-AB-FLX. In a three-neck flask, spiro-NB-FLX (5.80 mmol) was dissolved in anhydrous DMF (100 mL) in the presence of Pd/C (0.424 g). The reaction mixture was refluxed at 100 °C for 4 h in a hydrogen atmosphere and cooled to room temperature. After the catalyst residue was filtered out, the filtrate was concentrated using an evaporator, and subsequently, water (200 mL) was added to the flask. The white precipitate formed was collected by filtration, washed with water and methanol, and dried at 120 °C for 12 h under vacuum (yield: 81%).
The analytical data of the product are as follows. Tm = 274 °C (DSC). FT-IR (KBr plate method, cm−1): 3480/3375/3218 (NH2, N–H stretching), 3066 (Carom–H), 1708 (ester, C=O), 1628 (NH2, deformation + biphenyl group in FL), 1517/1489 (phenyl group), 1237/1172 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 8.01 [d, 2H (2.01H), J = 7.5 Hz, 4,5-protons of FL], 7.77 [d, 4H (4.05H), J = 8.7 Hz, 3,3′,5,5′-protons of the aniline (AN) group], 7.46 [t, 2H (2.03H), J = 7.4 Hz, 3,6-protons of FL], 7.31 [t, 2H (2.04H), J = 7.5 Hz, 2,7-protons of FL], 7.20 [d, 2H (2.02H), J = 2.3 Hz, 4,5-protons of XAN], 7.17 [d, 2H (2.02H), J = 7.6 Hz, 1,8-protons of FL], 6.74 [dd, 2H (2.02H), J = 8.5, 2.3 Hz, 2,7-protons of XAN], 6.62 [d, 4H (4.04H), J = 8.7 Hz, 2,2′,6,6′-protons of AN], 6.32 [d, 2H (2.03H), J = 8.6 Hz, 1,8-protons of XAN], 6.19 [s, 4H (4.00H), NH2]. Elemental analysis: Calcd. (%) for C39H26O5N2 (602.65 g/mol): C, 77.73; H, 4.35; N, 4.65. Found: C, 77.52; H, 4.50; N, 4.67. These results confirm that the product is the desired diamine (spiro-AB-FLX) shown in Scheme 8.

- Spiro-type ether-linked FL-pendant diamines
This type of diamine was synthesized according to the reaction schemes (Figure 5) through the following intermediates.

spiro-NP-FLX. In a three-neck flask, FL-DHX (12.66 mmol) and 4-fluoronitrobenzene (4FNB, 33.92 mmol) were dissolved in anhydrous N,N-dimethylacetamide (DMAc, 30 mL) in the presence of K2CO3 (29.60 mmol), and the reaction mixture was refluxed at 160 °C for 4 h in a nitrogen atmosphere. The reaction mixture was gradually poured into a large quantity of water. The pale-yellowish precipitate formed was collected by filtration, washed with water, and dried at 120 °C for 12 h under vacuum (yield: 98%).
The analytical data of the product are as follows. Tm = 190 °C (DSC). FT-IR (KBr plate method, cm−1): 3070 (Carom–H), 1522/1343 (NO2), 1483 (1,4-phenylene group), 1230/1150 (Carom–O–Carom), and the absence of the absorption bands at 3400–3500 (O–H) from the unreacted FL-DHX. 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 8.26 [d, 4H (4.06H), J = 9.3 Hz, 2,2′,6,6′-protons of NB], 8.02 [d, 2H (2.00H), J = 7.6 Hz, 4,5-protons of FL], 7.46 [t, 2H (1.99H), J = 7.5 Hz, 3,6-protons of FL], 7.32 [t, 2H (1.90H), J = 7.6 Hz, 2,7-protons of FL], 7.21–7.17 [m, 6H (6.05H), 3,3′,5,5′-protons of NB + 1,8-protons of FL], 7.13 [d, 2H (2.05H), J = 2.5 Hz, 4,5-protons of XAN], 6.72 [dd, 2H (2.05H), J = 8.6, 2.5 Hz, 2,7-protons of XAN], 6.37 [d, 2H (2.04H), J = 8.6 Hz, 1,8-protons of XAN]. These results confirm that the product is the desired dinitro compound (spiro-NP-FLX) shown in Scheme 9.

spiro-AP-FLX. In a three-neck flask, spiro-NP-FLX (12.4 mmol) was dissolved in 1,4-dioxane (75 mL) in the presence of Pd/C (0.746 g), and the reaction mixture was refluxed at 80 °C for 8 h in a hydrogen atmosphere. After the catalyst residue was filtered out, the filtrate was gradually poured into a large quantity of water. The white precipitate formed was collected by filtration, washed with water and methanol, and recrystallized from toluene (yield: 42%).
The analytical data of the purified product are as follows. Tm = 233 °C (DSC). FT-IR (KBr plate method, cm−1): 3431/3353/3216 (NH2, N–H stretching), 3044/3011 (Carom–H), 1609 (NH2, deformation + biphenyl group in FL), 1509/1489 (1,4-phenylene group), 1210/1168 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 7.95 [d, 2H (2.00H), J = 7.5 Hz, 4,5-protons of FL], 7.40 [t, 2H (2.04H), J = 7.4 Hz, 3,6-protons of FL], 7.24 [t, 2H (1.99H), J = 7.5 Hz, 2,7-protons of FL], 7.07 [d, 2H (1.91H), J = 7.5 Hz, 1,8-protons of FL], 6.77 [d, 4H (3.94H), J = 6.7 Hz, 3,3′,5,5′-protons of AN], 6.61–6.56 [m, 6H (5.87H), 4,5-protons of XAN + 2,2′,6,6′-protons of AN], 6.38 [dd, 2H (1.96H), J = 8.6, 2.5 Hz, 2,7-protons of XAN], 6.15 [d, 2H (1.99H), J = 8.7 Hz, 1,8-protons of XAN], 5.02 [s, 4H (3.75H), NH2]. Elemental analysis: Calcd. (%) for C37H26O3N2 (546.63 g/mol): C, 81.30; H, 4.79; N, 5.12. Found: C, 81.67; H, 4.92; N, 5.15. These results confirm that the product is the desired diamine (spiro-AP-FLX) shown in Scheme 10.

An isomer of spiro-AP-FLX, spiro–mAP-FLX, was synthesized using 3-fluoronitrobenzene (3FNB) instead of 4FNB in a similar manner (yield: 88%) through the following intermediate.
spiro–mNP-FLX. The analytical data of the product are as follows. Tm = 214 °C (DSC). FT-IR (KBr plate method, cm−1): 3070 (Carom–H), 1525/1349 (NO2), 1492 (phenyl group), 1225/1161 (Carom–O–Carom), and the absence of the absorption bands at 3400–3500 (O–H) from the unreacted FL-DHX. 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 8.03–7.99 [m, 4H (4.18H), 6,6′-protons of NB + 4,5-protons of FL], 7.79 [t, 2H (2.00H), J = 2.2 Hz, 2,2′-protons of NB], 7.68 [t, 2H (1.99H), J = 8.2 Hz, 5,5′-protons of NB], 7.52 [dd, 2H (1.92H), J = 8.2, 2.4 Hz, 4,4′-protons of NB], 7.44 [t, 2H (1.97H), J = 7.4 Hz, 3,6-protons of FL], 7.30 [t, 2H (2.07H), J = 7.5 Hz, 2,7-protons of FL], 7.16 [d, 2H (2.04H), J = 7.6 Hz, 1,8-protons of FL], 7.00 [d, 2H (2.00H), J = 2.5 Hz, 4,5-protons of XAN], 6.64 [dd, 2H (2.10H), J = 8.7, 2.5 Hz, 2,7-protons of XAN], 6.33 [d, 2H (2.08H), J = 8.7 Hz, 1,8-protons of XAN]. These results confirm that the product is spiro–mNP-FLX, shown in Scheme 11.

spiro–mAP-FLX. The catalytic reduction of the nitro groups in spiro–mNP-FLX was conducted in a similar manner to that described in the reduction of spiro-NP-FLX (yield: 91%). The analytical data of the product are as follows. Tm = 232 °C (DSC, broad). FT-IR (KBr plate method, cm−1): 3466/3380/3217 (NH2, N–H stretching), 3061 (Carom–H), 1604 (NH2, deformation + biphenyl group in FL), 1486 (phenyl group), 1252/1177 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 7.97 [d, 2H (2.00H), J = 7.6 Hz, 4,5-protons of FL], 7.42 [t, 2H (2.07H), J = 7.5 Hz, 3,6-protons of FL], 7.28 [t, 2H (2.06H), J = 7.5 Hz, 2,7-protons of FL], 7.11 [d, 2H (1.98H), J = 7.5 Hz, 1,8-protons of FL], 7.00 [t, 2H (1.94H), J = 8.0 Hz, 5,5′-protons of AN], 6.78 [d, 2H (1.97H), J = 2.4 Hz, 4,5-protons of XAN], 6.50 [dd, 2H (1.99H), J = 8.7, 2.5 Hz, 2,7-protons of XAN], 6.35 [dd, 2H (1.92H), J = 8.0, 1.3 Hz, 4,4′-protons of AN], 6.23–6.21 [m, 4H (4.01H), 1,8-protons of XAN + 2,2′-protons of AN], 6.15 [dd, 2H (2.08H), J = 7.9, 1.7 Hz, 6,6′-protons of AN], 5.26 [s, 4H (3.92H), NH2]. These results confirm that the product is spiro–mAP-FLX, shown in Scheme 12.

CF3-substituted spiro-AP-FLX (spiro-TFAP-FLX) was synthesized using 1-chloro-4-nitro-2-(trifluoromethyl)benzene (1C4NTFB) instead of 4FNB in a similar manner through the following intermediate (yield: 92%).
spiro-TFNP-FLX. The analytical data of the product are as follows. Tm: not observed on DSC. FT-IR (KBr plate method, cm−1): 3089 (Carom–H), 1593 (biphenyl group in FL), 1534/1353 (NO2), 1481 (1,4-phenylene group), 1268 (Carom–O–Carom), 1147 (CF3, C–F), and the absence of the absorption bands at 3400–3500 (O–H) from the unreacted FL-DHX. 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 8.51 [d, 2H, J = 2.7 Hz, 2,2′-protons of NB (Ha)], 8.48 [dd, 2H, J = 9.1, 2.9 Hz, 6,6′-protons of NB (Hb)], Ha (2H) + Hb (2H) = 4H (4.02H), 8.03 [d, 2H (2.00H), J = 7.6 Hz, 4,5-protons of FL], 7.47 [t, 2H (1.97H), J = 7.5 Hz, 3,6-protons of FL], 7.33 [t, 2H (2.05H), J = 7.1 Hz, 2,7-protons of FL], 7.25 [d, 2H, J = 9.2 Hz, 5,5′-protons of NB (Hc)], 7.22–7.20 [m, 4H, 1,8-protons of FL (Hd) + 4,5-protons of XAN (He)], Hc (2H) + Hd (2H) + He (2H) = 6H (6.07H), 6.77 [dd, 2H (2.05H), J = 8.6, 2.5 Hz, 2,7-protons of XAN], 6.41 [d, 2H (2.10H), J = 8.6 Hz, 1,8-protons of XAN]. These results confirm that the product is the desired dinitro compound (spiro-TFNP-FLX) shown in Scheme 13.

spiro-TFAP-FLX. The catalytic reduction of the nitro groups in spiro-TFNP-FLX was conducted in a similar manner to that described in the reduction of spiro-NP-FLX (yield: 77%). The crude product was purified by recrystallization from 2-propanol/n-hexane (1/4, v/v) (yield: 51%) and subsequent washing with methanol.
The analytical data of the purified product are as follows. Tm = 222 °C (DSC). FT-IR (KBr plate method, cm−1): 3466/3387 (NH2, N–H stretching), 3063 (Carom–H), 1631 (NH2, deformation), 1606 (biphenyl group in FL), 1486 (1,4-phenyl group), 1338/1149 (CF3, C–F), 1221 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 7.96 [d, 2H (2.00H), J = 7.5 Hz, 4,5-protons of FL], 7.41 [t, 2H (1.98H), J = 7.5 Hz, 3,6-protons of FL], 7.26 [t, 2H (1.98H), J = 7.5 Hz, 2,7-protons of FL], 7.09 [d, 2H (1.94H), J = 7.5 Hz, 1,8-protons of FL], 6.94–6.90 [m, 4H (4.02H), 2,2′- + 5,5′-protons of AN], 6.81 [dd (not well-resolved), 2H (1.94H), 6,6′-protons of AN], 6.65 [d, 2H (1.95H), J = 2.6 Hz, 4,5-protons of XAN], 6.42 [dd, 2H (1.93H), J = 8.7, 2.5 Hz, 2,7-protons of XAN], 6.20 [d, 2H (1.98H), J = 8.6 Hz, 1,8-protons of XAN], 5.50 [s, 4H (3.93H), NH2]. Elemental analysis: Calcd. (%) for C39H24O3N2F6 (682.62 g/mol): C, 68.62; H, 3.54; N, 4.10. Found: C, 68.93; H, 3.71; N, 4.10. These results confirm that the product is the desired diamine (spiro-TFAP-FLX) shown in Scheme 14.

- Spiro-type alkoxy-substituted XAN-pendant 2,7-diaminofluorenes
This type of diamine containing different alkoxy groups was synthesized according to the reaction scheme (Figure 6) through the following intermediates.

spiro-DHX-DNFL. 2,7-Dinitro-9-fluorenenone (27DNFLN, 20.03 mmol), resorcinol (RC, 120.17 mmol), p-toluenesulfonic acid monohydrate (PTSA, 2.06 mmol), and toluene (150 mL) were charged in a three-neck 300 mL flask, and the suspension was refluxed at 110 °C for 6.5 h in an N2 atmosphere, as reported in the literature [ref. 58]. The reaction mixture was gradually poured into a large quantity of water with vigorous stirring. The ochre-colored or yellowish-brown precipitate yielded, which probably contains an intensely colored dimeric product [ref. 58] similar to that depicted at the top of Figure 4, was repeatedly washed with water and dried at 120 °C for 12 h under vacuum (yield: 85%, Figure 7a). The crude product was purified by dry-charge column chromatography using a silica gel (Fujifilm Wako Pure Chemical Corp., Osaka, Japan, Wakogel C-300) and an eluent (ethyl acetate/n-hexane, 1/1, v/v). The stationary phase (sample-adsorbed silica gel) was prepared by stirring the crude product (5.03 g) and Wakogel C-300 (15 g) in acetone (63 mL) and subsequently removing the solvent using an evaporator. The stationary phase was charged at the top of the silica gel column. The main fraction was selectively collected, and the solvent was removed using an evaporator. The resulting yellow precipitate was washed with methanol and dried at 100 °C for 12 h under vacuum (purification yield: 45%, Figure 7b).

The analytical data of the purified product are as follows. Tm = 157 °C (DSC). FT-IR (KBr plate method, cm−1): 3466 (O–H), 3064 (Carom–H), 1615 (biphenyl group in FL), 1521/1342 (NO2), 1502 (1,4-phenylene group), 1212 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 9.82 [s, 2H (2.00H), OH], 8.45 [d, 2H (2.08H), J = 8.4 Hz, 4,5-protons of FL], 8.37 [dd, 2H (2.05H), J = 8.5, 2.1 Hz, 3,6-protons of FL], 7.81 [d, 2H (2.09H), J = 2.0 Hz, 1,8-protons of FL], 6.67 [d, 2H (2.08H), J = 2.4 Hz, 4,5-protons of XAN], 6.31 [dd, 2H (2.03H), J = 8.6, 2.5 Hz, 2,7-protons of XAN], 6.12 [d, 2H (2.06H), J = 8.6 Hz, 1,8-protons of XAN]. Elemental analysis: Calcd. (%) for C25H14O7N2 (454.40 g/mol): C, 66.08; H, 3.11; N, 6.17. Found: C, 65.89; H, 3.29; N, 6.20. These results confirm that the product is the desired dinitro bisphenol (spiro-DHX-DNFL) shown in Scheme 15.

spiro-C6X-DNFL. In a three-neck 200 mL flask, spiro-DHX-DNFL (3.01 mmol) and BrC6 (9.0 mmol) were dissolved in DMF (30 mL) in the presence of K2CO3 (7.02 mmol). The reaction mixture was refluxed at 100 °C for 5 h in an N2 atmosphere. The reaction mixture was gradually poured into a large quantity of water. The pale-yellowish precipitate formed was dried at 70 °C for 12 h (yield: 73%). The crude product was purified by dry-charge column chromatography (eluent: ethyl acetate/n-hexane, 1/1, v/v), as mentioned above (purification yield: 45%).
The analytical data of the purified product are as follows. Tm = 135 °C (DSC). FT-IR (KBr plate method, cm−1): 3082 (Carom–H), 2953/2928/2870 (Caliph–H), 1613 (biphenyl group in FL), 1522/1340 (NO2), 1259/1186 (Carom–O–Carom), and the absence of the absorption bands at 3400–3500 (O–H) from the unreacted spiro-DHX-DNFL. 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 8.47 [d, 2H (2.00H), J = 8.4 Hz, 4,5-protons of FL], 8.39 [dd, 2H (2.00H), J = 8.5, 2.1 Hz, 3,6-protons of FL], 7.83 [d, 2H (2.07H), J = 2.1 Hz, 1,8-protons of FL], 6.87 [d, 2H (2.08H), J = 2.5 Hz, 4,5-protons of XAN], 6.47 [dd, 2H (2.06H), J = 8.8, 2.5 Hz, 2,7-protons of XAN], 6.21 [d, 2H (2.02H), J = 8.7 Hz, 1,8-protons of XAN], 3.96 [t, 4H (4.02H), J = 6.4 Hz, O–CH2–(CH2)4–CH3], 1.68 [quin (not well-resolved), 4H (4.06H), O–CH2–CH2–(CH2)3–CH3], 1.38 [quin (not well-resolved), 4H, O–(CH2)2–CHa2–(CH2)2–CH3], 1.30–1.26 [m, 8H, O–(CH2)3–(CHb2)2–CH3], Ha (4H) + Hb (8H) = 12H (12.12H), 0.86 [t, 6H (6.01H), J = 7.0 Hz, the terminal CH3 group]. Elemental analysis: Calcd. (%) for C37H38O7N2 (622.72 g/mol): C, 71.37; H, 6.15; N, 4.50. Found: C, 71.18; H, 6.21; N, 4.45. These results confirm that the product is the desired dinitro compound (spiro-C6X-DNFL) shown in Scheme 16.

spiro-C6X-DAFL. The nitro groups in spiro-C6X-DNFL were reduced as follows. In a three-neck 300 mL flask, spiro-C6X-DNFL (1.740 mmol) was dissolved in ethanol (40 mL) in the presence of Pd/C (0.105 g), and the reaction mixture was refluxed at 80 °C for 4 h in a hydrogen atmosphere. The residual Pd/C was filtered out, and the filtrate was concentrated with an evaporator and poured gradually into a large quantity of water. The white precipitate formed was dried at 35 °C for 12 h under vacuum (yield: 68%). In contrast, when the reaction was conducted in DMF, a highly colored product was undesirably obtained after drying at 45 °C for 12 h.
The analytical data of the white product are as follows. Tm = 50 °C (DSC, broad). FT-IR (KBr plate method, cm−1): 3462/3374/3213 (N–H), 3032/3006 (Carom–H), 2953/2930/2859 (Caliph–H), 1614 (biphenyl group in FL), 1254/1178 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 7.31 [d, 2H (2.00H), J = 8.1 Hz, 4,5-protons of FL], 6.71 [d, 2H (2.06H), J = 2.6 Hz, 1,8-protons of FL], 6.48–6.44 [m, 4H (4.29H), 3,6-protons of FL + 2,7-protons of XAN], 6.22 [d, 2H (2.06H), J = 8.7 Hz, 1,8-protons of XAN], 6.15 [d, 2H (2.09H), J = 2.0 Hz, 4,5-protons of XAN], 4.93 [s, 4H (4.02H), NH2], 3.93 [t, 4H (4.57H), J = 6.5 Hz, O–CH2–(CH2)4–CH3], 1.68 [quin, 4H (4.62H), J = 6.9 Hz, O–CH2–CH2–(CH2)3–CH3], 1.39 [quin, (not well-resolved), 4H, O–(CH2)2–CHa2–(CH2)2–CH3], 1.31–1.29 [m, 8H, O–(CH2)3–(CHb2)2–CH3], Ha (4H) + Hb (8H) = 12H (13.69H), 0.87 [t, 6H (6.70H), J = 7.0 Hz, the terminal CH3 group]. Elemental analysis: Calcd. (%) for C37H42O3N2 (562.75 g/mol): C, 78.97; H, 7.52; N, 4.98. Found: C, 78.74; H, 7.61; N, 4.95. These results confirm that the product is the desired diamine (spiro-C6X-DAFL) shown in Scheme 17.

spiro-C12X-DAFL. An analogue of spiro-C6X-DAFL, spiro-C8X-DAFL with a 2-ethylhexyl group, was synthesized using 1-bromo-2-ethylhexane (Br2EH) instead of BrC6 in a similar manner. The analytical data of the product are as follows. Tm = 42 °C (DSC, broad). FT-IR (KBr plate method, cm−1): 3464/3375/3213 (NH2, N–H stretching), 3029/3006 (Carom–H), 2958/2927/2872 (Caliph–H), 1614 (biphenyl group in FL), 1254/1180 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 7.31 [d, 2H (2.06H), J = 8.0 Hz, 4,5-protons of FL], 6.72 [d, 2H (2.00H), J = 2.5 Hz, 1,8-protons of FL], 6.49–6.46 [m, 4H (4.24H), 3,6-protons of FL + 2,7-protons of XAN], 6.23 [d, 2H (2.09H), J = 8.7 Hz, 1,8-protons of XAN], 6.16 [d, 2H (2.14H), J = 2.0 Hz, 4,5-protons of XAN], 4.93 [s, 4H (4.27H), NH2], 3.84 [d, 4H (4.06H), J = 5.7 Hz, O–CH2–CH(CH2CH3)–(CH2)3–CH3], 1.65 [sextet (not well-resolved), 2H (2.12H), O–CH2–CH(CH2CH3)–(CH2)3–CH3], 1.45–1.28 [m, 16H (18.18H), O–CH2–CH(CH2CH3)–(CH2)3–CH3], 0.90–0.86 [m, 12H (14.02H), O–CH2–CH(CH2CH3)–(CH2)3–CH3]. Elemental analysis: Calcd. (%) for C41H50O3N2 (618.86 g/mol): C, 79.57; H, 8.14; N, 4.53. Found: C, 79.15; H, 8.06; N, 4.55. These results confirm that the product is the desired diamine (spiro-C8X-DAFL) shown in Scheme 18.

- spiro-type benzoyloxy-substituted ester-linked XAN-pendant 2,7-diaminofluorenes
This type of diamine was synthesized according to the reaction schemes (Figure 6) through the following intermediates.
spiro-TFBzX-DNFL. In a septum cap-sealed 100 mL flask, the afore-mentioned spiro-DHX-DNFL (5.38 mmol) was dissolved in anhydrous THF (20 mL) in the presence of pyridine (1.30 mL, 16.1 mmol). This solution was added gradually to 4-(trifluoromethyl)benzoyl chloride (4TFBC, 2.70 mL, 18.25 mmol) in another septum cap-sealed flask maintained at 0 °C with a syringe while magnetically stirring. The reaction mixture was stirred at 0 °C for several hours, and subsequently, for 12 h at room temperature. After the white precipitate (pyridine-HCl salt) was filtered out, the filtrate was gradually poured into n-hexane (800 mL). The white precipitate yielded was collected by filtration and washed with n-hexane, cold 2-propanol, and water, and dried at 100 °C for 12 h under vacuum (yield: 77%, Figure 7c).
The analytical data of the product are as follows. Tm = 283 °C (DSC). FT-IR (KBr plate method, cm−1): 3090 (Carom–H), 1748 (ester, C=O), 1608 (biphenyl group in FL), 1528/1325 (NO2), 1490 (1,4-phenylene group), 1341/1153 (C–F), 1263 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 8.54 [d, 2H (2.00H), J = 8.5 Hz, 4,5-protons of FL], 8.46 [dd, 2H (1.98H), J = 8.5, 2.1 Hz, 3,6-protons of FL], 8.31 [d, 4H (4.06H), J = 8.2 Hz, 2,2′,6,6′-protons of the terminal benzoyl (Bz) group], 8.07 [d, 2H (1.94H), J = 2.1 Hz, 1,8-protons of FL], 7.99 [d, 4H (3.96H), J = 8.4 Hz, 3,3′,5,5′-protons of Bz], 7.50 [d, 2H (1.94H), J = 2.3 Hz, 4,5-protons of XAN], 6.93 [dd, 2H (2.03H), J = 8.6, 2.4 Hz, 2,7-protons of XAN], 6.50 [d, 2H (1.98H), J = 8.6 Hz, 1,8-protons of XAN]. Elemental analysis: Calcd. (%) for C41H20O9N2F6 (798.61 g/mol): C, 61.66; H, 2.52; N, 3.51. Found: C, 61.53; H, 2.68; N, 3.63. These results confirm that the product is the desired dinitro compound (spiro-TFBzX-DNFL) shown in Scheme 19.

spiro-TFBzX-DAFL. In a three-neck 100 mL flask, spiro-TFBzX-DNFL (4.643 mmol) was dissolved in ethyl acetate (36.4 mL) in the presence of Pd/C (0.371 g). The reaction mixture was refluxed at 50 °C for 4 h in a hydrogen atmosphere. After the Pd/C residue was filtered out, the filtrate was gradually poured into n-hexane (700 mL). The cream-colored precipitate formed was collected by filtration and dried at 80 °C for 12 h under vacuum (yield: 87%, Figure 7d). The crude product was recrystallized from ethyl acetate/n-hexane (5/22, v/v), and the cream-colored precipitate was dried at 80 °C for 12 h (recrystallization yield: 74%). The purified product was additionally decolorized, even though its chemical purity was sufficiently high. The adsorption method using activated carbon and activated clay in various polar solvents (methanol, acetone, acetic acid, DMSO, ethyl acetate) in the presence of water was less effective at decolorizing. In contrast, neutralization of an acetic acid solution of the product with a 1N-NaOH aqueous solution was effective. The white precipitate yielded was repeatedly washed with water and dried at 100 °C for 12 h (decolorization yield: 95%, Figure 7e).
The recrystallized and decolorized product maintained an extremely high chemical purity, as suggested by the following analytical data. FT-IR (KBr plate method, cm−1): 3464/3378/3221 (NH2, N–H stretching), 3070/3008 (Carom–H), 1742 (ester, C=O), 1618 (biphenyl group in FL), 1489 (1,4-phenylene group), 1326/1151 (C–F), 1262 (Carom–O–Carom). The 1H-NMR spectrum (Figure 8) and its detailed data (400 MHz, DMSO-d6, δ, ppm): 8.32 [d, 4H (4.01H), J = 8.1 Hz, 2,2′,6,6′-protons of Bz], 7.99 [d, 4H (3.98H), J = 8.3 Hz, 3,3′,5,5′-protons of Bz], 7.39 [d, 2H (1.93H), J = 8.1 Hz, 4,5-protons of FL], 7.34 [d, 2H (1.91H), J = 2.4 Hz, 4,5-protons of XAN], 6.91 [dd, 2H (1.93H), J = 8.6, 2.4 Hz, 2,7-protons of XAN], 6.54 [dd, 2H (1.91H), J = 8.1, 2.1 Hz, 3,6-protons of FL], 6.49 [d, 2H (1.92H), J = 8.6 Hz, 1,8-protons of XAN], 6.30 [d, 2H (2.00H), J = 2.0 Hz, 1,8-protons of FL], 5.05 [s, 4H (3.98H), NH2]. Elemental analysis: Calcd. (%) for C41H24O5N2F6 (738.64 g/mol): C, 66.67; H, 3.28; N, 3.79. Found: C, 66.45; H, 3.39; N, 3.77. These results confirm that the product is the desired diamine (spiro-TFBzX-DAFL) shown in Scheme 20.


spiro-BzX-DAFL. An analogue of spiro-TFBzX-DAFL, spiro-BzX-DAFL without the CF3 groups, was synthesized according to the reaction scheme (Figure 6) using benzoyl chloride (BzC) instead of 4TFBC in a similar manner. The analytical data of the product are as follows. FT-IR (KBr plate method, cm−1): 3445/3363/3218 (NH2, N–H stretching), 3060/3033/3008 (Carom–H), 1733 (ester, C=O), 1607 (biphenyl group in FL), 1487 (1,4-phenylene group), 1239 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 8.12 [dd, 4H (4.00H), J = 7.4, 2.2 Hz, 2,2′,6,6′-protons of Bz], 7.76 [m (different from dd), 2H (1.95H), 4,4′-protons of Bz], 7.61 [t, 4H (3.92H), J = 7.7 Hz, 3,3′,5,5′-protons of Bz], 7.39 [d, 2H (1.93H), J = 8.0 Hz, 4,5-protons of FL], 7.28 [d, 2H (1.92H), J = 2.3 Hz, 4,5-protons of XAN], 6.87 [dd, 2H (1.92H), J = 8.6, 2.4 Hz, 2,7-protons of XAN], 6.54 [dd, 2H (1.95H), J = 8.1, 2.1 Hz, 3,6-protons of FL], 6.47 [d, 2H (1.94H), J = 8.6 Hz, 1,8-protons of XAN], 6.30 [d, 2H (1.92H), J = 2.0 Hz, 1,8-protons of FL], 5.04 [s, 4H (4.05H), NH2]. These results confirm that the product is the desired diamine (spiro-BzX-DAFL) shown in Scheme 21.

- FL-pendant 2,3,6,7-xanthenetetracarboxylic dianhydride
This TCDA was synthesized according to the reaction scheme (Figure 9a) through the following intermediates.

spiro-2367TMXA. In a three-neck 300 mL flask, 9FLN (19.45 mmol) and 3,4-dimethylphenol (34DMP, 94.81 mmol) were dissolved in toluene (10 mL) in the presence of PTSA (8.09 mmol), and the reaction mixture was refluxed at 120 °C for 6 h in an N2 atmosphere. After dilution with toluene (80 mL), the solution was washed with a 5N-NaOH aqueous solution (30 mL) in a separating funnel to remove an excess of 34DMP. The precipitate formed was removed by filtration. The filtrate was repeatedly washed with water in a separating funnel, and the organic phase was dried with Na2SO4. The white precipitate obtained by solvent removal was washed with n-hexane and dried at 100 °C for 12 h under vacuum [yield: 55%, Figure 9b(1)].
The analytic data of the product are as follows. Tm = 225 °C (TG-DTA, broad). FT-IR (KBr plate method, cm−1): 3063/3023 (Carom–H), 2967/2941/2918/2862 (Caliph–H), 1494 (phenyl group), 1259/1125 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 7.96 [d, 2H (2.01H), J = 7.6 Hz, 4,5-protons of FL], 7.39 [t, 2H (2.04H), J = 7.4 Hz, 3,6-protons of FL], 7.23 [t, 2H (1.99H), J = 7.4 Hz, 2,7-protons of FL], 7.04 [s, 2H (2.07H), 4,5-protons of XAN], 7.01 [d, 2H (2.04H), J = 7.6 Hz, 1,8-protons of FL], 5.95 [s, 2H (2.00H), 1,8-protons of XAN], 2.15 [s, 6H (6.01H), CHa3], 1.84 [s, 6H (5.96H), CHb3]. Elemental analysis: Calcd. (%) for C29H24O (388.51 g/mol): C, 89.66; H, 6.23. Found: C, 89.83; H, 6.23. These results confirm that the product is the desired compound (spiro-2367TMXA) shown in Scheme 22.

spiro-2367XATCA. In a three-neck 300 mL flask shaded with an aluminum foil, spiro-2367TMXA (4.96 mmol) was dissolved in a mixed solvent of pyridine (50 mL) and water (5 mL) at 120 °C. To this solution, KMnO4 (61.1 mmol) was gradually added in five portions at about 30 min intervals, and the reaction mixture was additionally refluxed at 120 °C for 2.5 h. After an NaOH aqueous solution (4 wt%, 100 mL) was added, KMnO4 (20.4 mmol) was additionally added to the resulting phase-separated reaction mixture in two portions at about 1 h intervals with vigorous magnetic stirring (here, insufficient stirring increased unintended by-products), and the reaction mixture was refluxed at 100 °C for 7.5 h; thereby, the solution changed from purple to yellow. The precipitate yielded (primarily MnO2) was removed by filtration. This procedure was repeated two more times to complete oxidation of the residual CH3 groups. This multi-step oxidation process using KMnO4 was the key to obtaining pure spiro-2367XATCA. To the yellow filtrate, conc. HCl (30 mL) was added. The white precipitate formed was collected by filtration and washed with a 2N-HCl aqueous solution (60 mL) to suppress the loss during washing due to its water solubility. The white precipitate was dissolved in anhydrous GBL, and the insoluble portion was filtered out. The white or pale-pink precipitate obtained by solvent removal of the filtrate was dried at 80 °C for 12 h under vacuum [Figure 9b(2)].
The analytic data of the product are as follows. FT-IR (KBr plate method, cm−1): 3063 (Carom–H), 2551 (broad, hydrogen-bonded COOH, O–H stretching), 1706 (hydrogen-bonded COOH, C=O), 1494 (phenyl group), 1283 (Carom–O–Carom). 1H-NMR (400 MHz, DMSO-d6, δ, ppm): 13.5–13.0 [br, 4H, COOH], 8.07 [d, 2H (2.00H), J = 7.6 Hz, 4,5-protons of FL], 7.55 [s, 2H, 4,5-protons (Ha) of XAN], 7.50 [t, 2H, J = 7.5 Hz, 3,6-protons (Hb) of FL], Ha (2H) + Hb (2H) = 4H (4.21H), 7.31 [t, 2H (2.11H), J = 7.5 Hz, 2,7-protons of FL], 7.21 [d, 2H (1.99H), J = 7.5 Hz, 1,8-protons of FL], 6.63 [s, 2H (2.18H), 1,8-protons of XAN]. These results confirm that the product is the desired compound (spiro-2367XATCA) shown in Scheme 23.

spiro-2367XADA. This compound can be obtained simply via thermal cyclodehydration of spiro-2367XATCA. However, heating of spiro-2367XATCA at 200 °C under vacuum caused unexplained intense coloration [reddish-brown product, Figure 9b(3)]. The use of this intensely colored TCDA prevents the formation of colorless PI films. Therefore, the product was decolorized using activated carbon (powder form, Fujifilm Wako Pure Chemical, Osaka, Japan) as follows. After the colored spiro-2367XADA (2.23 mmol) was dissolved in acetic acid (111 mL), water (2 mL) and activated carbon 0.976 g) were added, and the suspension was placed at room temperature for 24 h. After the activated carbon was filtered out, the cream-yellow precipitate was obtained via azeotropic solvent evaporation with toluene [yield: 63%, Figure 9b(4)]. The decolorized product was further purified by recrystallization from anhydrous acetic acid.
The analytical data of the purified product are as follows. The FT-IR spectrum (Figure 10) and its detailed data (KBr plate method, cm−1): 3066 (Carom–H), 1850/1784 (acid anhydride, C=O), 1267 (Carom–O–Carom). The 1H-NMR spectrum (Figure 11) and its detailed data (400 MHz, DMSO-d6, δ, ppm): 8.15–8.13 [m, 4H (3.97H), 4,5-protons of FL + 4,5-protons of XAN], 7.56 [t, 2H (2.01H), J = 7.5 Hz, 3,6-protons of FL], 7.35 [t, 2H (2.02H), J = 7.5 Hz, 2,7-protons of FL], 7.27 [d, 2H (1.98H), J = 7.6 Hz, 1,8-protons of FL], 6.78 [s, 2H (2.00H), 1,8-protons of XAN]. Elemental analysis: Calcd. (%) for C29H12O7 (472.41 g/mol): C, 73.73; H, 2.56. Found: C, 73.44; H, 2.72. The product exhibited a relatively sharp endothermic peak for melting at 330 °C on DSC (Figure 12). These results confirm that the product is the desired TCDA (spiro-2367XADA) shown in Scheme 24.




2.1.2. Commercially Available Monomers
The molecular structures of the commercially available monomers used in this study are shown in Figure 13. Their commercial sources, abbreviations, pre-drying conditions, and melting points are listed in Table 1.

Table 1: Abbreviations, sources, vacuum-drying conditions, and melting points of the commercially available monomers used in this study.
| Monomer | Source | Vacuum-Drying Condition | Melting Point (°C) |
|---|---|---|---|
| 1,2,3,4-Cyclobutanetetracarboxylic dianhydride (CBDA) | Nissan Chemical | 180 °C/12 h | 241 a |
| Norbornane-2-spiro–α-cyclopentanone-α′-spiro-2″-norbornane-5,5″,6,6″-tetracarboxylic dianhydride (CpODA) | ENEOS | 160 °C/12 h | 300 a |
| 1S,2S,4R,5R-Cyclohexanetetracarboxylic dianhydride (H′-PMDA) | Iwatani Industrial Gases | 150 °C/24 h | 274 a |
| 9,9-Bis(3,4-dicarboxyphenyl)fluorene dianhydride (cardo-BPFLDA) | JFE Chemical | 160 °C/12 h | 271 b |
| 2,2′-Bis(trifluoromethyl)benzidine (TFMB) | Wakayama Seika | 50 °C/12 h | 184 a |
| Trans-1,4-cyclohexanediamine (t-CHDA) | Iwatani Industrial Gases | 30 °C/24 h | 70 a |
a Tm determined from the endothermic peak temperature measured at 5 °C/min on DSC. b Tm from the safety data sheets.
2.1.3. Polymerization and Film Preparation
In this study, polymerization and film preparation were conducted through the following three processes (Figure 14). The features of these processes are summarized in Table 2. Route-T: Conventional two-step process consisting of low-temperature equimolar polyaddition, coating/drying of the resulting PAA solutions at 60 °C (for DMAc solution) or 80 °C (for N-methyl-2-pyrrolidone (NMP) solution) for 2 h in an air-convection oven, and thermal imidization of the PAA cast films on a glass substrate typically at 200 °C for 1 h + 250 °C for 1 h under vacuum and additional annealing at 300 °C for 1 h without the substrates under vacuum. Route-C: Chemical imidization by adding a cyclodehydration reagent [acetic anhydride (Ac2O)/pyridine (7/3, v/v)] with a fixed molar ratio of [Ac2O]/[COOH]PAA = 5 to the PAA solutions (diluted as appropriate), isolation of PIs, redissolution of the isolated fibrous PI powder in a fresh solvent, and coating/drying of the resulting homogeneous PI solutions [ref. 37]. Route-R: Modified one-pot polymerization by refluxing monomer/solvent suspension in the presence of a combined catalyst, followed by isolation of PI powder, redissolution in a fresh solvent, and coating/drying of the resulting homogeneous PI solutions [ref. 39,ref. 41,ref. 47,ref. 48]. A typical procedure of the modified one-pot polymerization process is as follows. Diamine (5 mmol) and benzoic acid (BA, 10 mmol, 1 Eq.) as a cocatalyst were completely dissolved in a selected dehydrated solvent (GBL, DMAc, or NMP) in a reaction vessel at room temperature (or by mildly warming as appropriate) with continuous mechanical stirring. To this solution, 1-ethylpiperidine (1-EP, 10 mmol, 1 Eq.) as a catalyst and subsequently TCDA powder (5 mmol) were added in one portion. The reaction mixture in the sealed reaction vessel was then rapidly heated by immersing the vessel in an oil bath maintained at an established elevated temperature and refluxed typically at 200 °C or the boiling point of the solutions for 4 h in an N2 atmosphere with continuous mechanical stirring. The reaction was started at a total monomer content of 40 or 50 wt%, and the reaction mixture was gradually diluted as appropriate with a minimum amount of the same solvent to ensure effective mixing. In this process, we used a specially designed separable reaction vessel equipped with a dry nitrogen gas inlet and outlet connected to a silicone oil-sealed bubbler, condenser, Dean–Stark trap, and sealed mechanical stirrer with a non-contact magnetic coupling mechanism (Nakamura Scientific Instruments Industry, Tokyo, Japan, UZ-SM1). The reaction mechanism in this process is described in detail in our previous paper [ref. 48].

Table 2: The features of three polymerization/film preparation processes applied in this study.
| Route | Polymerization Process | Casting Process | PI Solubility | High Monomer Reactivity for Film Formation | Heating Temperature Range for PI Film Formation (°C) | To Obtain Colorless PI Films for Soluble Semi-Aromatic Systems | To Reduce CTE for Soluble Semi-Aromatic Systems |
|---|---|---|---|---|---|---|---|
| T | PAA (without cat.) | PAA solution | Needless | Essential | 300–350 | Unfavorable | Often unfavorable |
| C | PAA(without cat.) | PI solution | Essential | Essential | 200–250 | Most effective | Effective in some cases |
| R | PI(with catalysts) | PI solution | Essential | Desired, even if not available, compensable with cat. and heating | 200–250 | Applicable | Effective in some cases |
The progress of polymerization and completion of imidization were confirmed by FT-IR and/or 1H-NMR spectra. A typical transmission-mode FT-IR spectrum of a PI thin film prepared via Route-C is shown in Figure 15. The spectrum includes the specific bands (cm−1): 3073 (Carom–H), 2994 (Caliph–H), 1780 (imide, C=O), 1724 (imide, C=O + ester, C=O), 1488 (1,4-phenylene group), 1362 (imide, N–Carom), 1335 (C–F). In addition, the PAA specific bands at ~2600 cm−1 (hydrogen-bonded COOH, O–H stretching) and 1680/1530 cm−1 (amide, C=O) were not observed.

A typical 1H-NMR spectrum (400 MHz, DMSO-d6) of the PI prepared via Route-C is shown in Figure 16. No NHCO and COOH proton signals due to the amide acid units were observed. These spectra confirmed the completion of chemical imidization. Similarly, complete imidization was confirmed for the PI powder samples prepared via Route-R.

The PI films (typical thickness: 20 μm) were prepared as follows. The above-mentioned isolated fibrous PI powder (Route-C and Route-R) was redissolved in a fresh solvent at a high solid content (typically, 15 wt%), and the resulting homogeneous PI solution was coated on a glass substrate and soft-dried at 60–65 °C (for DMAc solution) or 80 °C (for NMP solution) for 2 h in an air-convection oven. Then, the PI cast films were heated stepwise typically at 150 °C for 0.5 h + 200 °C for 0.5 h + 250 °C/1 h on the substrates under vacuum to completely remove the solvents. Additionally, the films were annealed at 300 °C for 1 h under vacuum without the substrates to remove residual strain in the films. These thermal conditions were adjusted as appropriate to obtain better-quality films.
In this study, the PAA and PI systems were represented using the abbreviations of the monomer symbols [tetracarboxylic dianhydrides (A) and diamines (B)] as A/B for homopolymers and A1;A2/B1;B2 for copolymers.
2.2. Measurements
2.2.1. Structural Characterization
The molecular structures of the monomers and their intermediates synthesized in this study were characterized by FT-IR (KBr plate method, JASCO, Tokyo, Japan, FT/IR 4100 or 4600 infrared spectrometer) and 1H-NMR spectra in DMSO-d6 or CDCl3 (JEOL, Tokyo, Japan, JMN-ECP400), and elemental analysis (J-Science Lab, Kyoto, Japan, Micro Corder JM10). Complete imidization for the PIs obtained via Route-C and Route-R was confirmed by the 1H-NMR spectra in DMSO-d6 (only for soluble systems) and/or transmission-mode FT-IR spectra using their thin films (~5 μm thick) with an intentionally roughened surface to suppress interference fringes. The melting points of the monomers were determined by differential scanning calorimetry (DSC, Rigaku, Tokyo, Japan, DSC 8231) from the endothermic peak temperatures in the DSC thermograms measured at a heating rate of 5 °C/min in a nitrogen atmosphere.
2.2.2. Inherent Viscosities and Molecular Weights
As an index of polymer molecular weights, the reduced viscosities (ηred) of PAAs and/or PIs were measured at a polymer content of 0.5 wt% at 30 °C on an Ostwald viscometer because it was difficult to determine the inherent viscosities (ηinh) by the extrapolation to zero PAA concentration owing to a polyelectrolyte effect of PAAs. The measurements were conducted promptly after dilution of the as-polymerized PAA solutions to 0.5 wt% because dilution of PAA solutions to a low concentration (<1 wt%) often accelerates their molecular weight decrease. The high ηred values (> ~1.0 dL/g) can be empirically regarded as being PAAs or PIs with sufficiently high molecular weights for ensuring film-forming ability.
The number-(n) and weight-average molecular weights (w) for highly soluble PIs in THF were measured by gel permeation chromatography (GPC) in THF at room temperature using a 0.05 wt% dilute solution after filtration with a PTFE-membrane filter (pore size: 0.1 μm). GPC was conducted on an HPLC system (JASCO, Tokyo, Japan, LC-2000 Plus) equipped with a GPC column (Resonac, Tokyo, Japan, Shodex, KF-806L) and an ultraviolet–visible detector at a wavelength of 300 or 254 nm (JASCO, Tokyo, Japan, UV-2075) at a flow rate of 1 mL/min. The calibration was performed using standard polystyrenes (Resonac, Tokyo, Japan, Shodex, SM-105). A typical GPC curve is shown in Figure S2.
2.2.3. Linear Coefficients of Thermal Expansion (CTE)
The XY-direction CTEs as an index of thermal dimensional stability of the PI films were measured by thermomechanical analysis (TMA) using PI specimens (length: 20 mm; width: 5 mm; typical thickness: 20 μm; chuck-to-chuck distance: 15 mm) on a thermomechanical analyzer (Netzsch Japan, Yokohama, Japan, TMA 4000 or Rigaku, Tokyo, Japan, TMA 8311). TMA was conducted at a heating rate of 5 °C/min with a fixed load (0.5 g per unit film thickness in μm, i.e., a 10 g load for 20 μm thick specimens) in a dry nitrogen atmosphere. The CTE values were calculated from the slope of the TMA straight line in the range of 100–200 °C (glassy temperature region, T < Tg) during the 2nd heating run ranging from 30 to 450 °C, before which the preliminary 1st run was conducted in the range of 30–150 °C to remove adsorbed water on the mounted specimens and subsequent cooling to 30 °C with a continuous dry N2 flow in the sealed TMA chamber.
To determine the CTE values accurately, residual strain of the film specimens must be removed in advance because it often causes film shrinkage during the TMA heating run. As-delaminated PI films after thermal imidization on the substrates usually include residual strain. This can be removed by careful annealing without the substrates while avoiding significant orientational relaxation and undesirable film deformation. The adequate annealing conditions and how to check the removal of residual strain are described in our previous paper [ref. 48].
2.2.4. Glass Transition Temperatures (Tg)
The physical (short-term) heat resistance, Tgs of the PI films were measured by dynamic mechanical–thermal analysis (DMA) on a dynamic viscoelastic analyzer (TA Instruments Japan, Tokyo, Japan, DMA-Q800) or a thermomechanical analyzer (Netzsch Japan, Yokohama, Japan, TMA 4000). The storage modulus (E’) and loss modulus (E”) as a function of temperature were measured in the range of 30–450 °C at a heating rate of 5 °C/min in an N2 atmosphere under a sinusoidal strain frequency of 0.1 Hz (amplitude: 0.1%). The Tgs were determined from the peak temperatures in the E” curve, unless otherwise noted.
The Tgs were also measured by TMA from an inflection point in the TMA curve, which is determined from an intersection of two tangential lines. The TMA-based Tgs were essentially equivalent to the DMA-based values (specifically, the former is often 5–20 °C higher than the latter).
2.2.5. Chemical (Long-Term) Heat Resistance
The 5% weight loss temperatures (Td5) as an index of thermal and thermo-oxidative stability of the PI films were measured by thermogravimetric analysis (TGA) at a heating rate of 10 °C/min in a dry N2 and/or air atmosphere on a thermo-balance (Netzsch Japan, Yokohama, Japan, TG-DTA2000S or Rigaku, Tokyo, Japan, TG8121). A small weight loss due to desorption of adsorbed water at 100 °C during the TGA heating runs was compensated by off-setting at 150 °C to 0% weight loss for the data analysis.
2.2.6. Optical Transparency
The optical transparency of the PI films (typical thickness: 20 μm) was evaluated from the light transmittance at 400 nm (T400), cut-off wavelength (λ0), yellowness index (YI), total light transmittance (Ttot), and haze. The optical transmission spectra were measured in the wavelength (λ) range from 200 to 800 nm to determine the T400, λ0, and YI on an ultraviolet–visible spectrophotometer (JASCO, Tokyo, Japan, V-530). The YI values were calculated under a standard illuminant of D65 and a standard observer function of 2° (ASTM E 313) using a color calculation software (JASCO, Tokyo, Japan) from the following relationship:
xzy
where x, y, and z are the CIE tristimulus values. YI becomes zero for an ideal white/transparent sample. The Ttot (JIS K 7361-1) and diffuse transmittance (Tdiff, JIS K 7136) of the PI films were measured on a double-beam haze meter equipped with an integrating sphere (Nippon Denshoku Industries, Tokyo, Japan, NDH 4000). The haze of the PI films was calculated from the following relationship:
TdiffTtot
2.2.7. Birefringence
The thickness-direction birefringence (Δnth) of the PI films was measured at 589.3 nm (Na-lamp, D-line) on an Abbe refractometer (ATAGO, Tokyo, Japan, 4T, nD range: 1.47–1.87) equipped with a polarizer, Na-lamp, and white reflector using a test piece (nD = 1.92) and contact liquid (methylene iodide, nD = 1.74). This study does not address the wavelength dependence of refractive indices and birefringence. The Δnth values were calculated from the following relationship:
nthnxynz
where nxy and nz denote the XY-direction (in-plane) and Z-direction (out-of-plane) refractive indices of the PI films. In general, Δnth includes the orientation and stress birefringence. However, in this study, the contribution of the latter can be considered very small because the residual stress in the film specimens was thoroughly removed by annealing at adequate temperatures without the substrates. Therefore, Δnth is closely related to the extent of polymer chain alignment along the XY-direction (in-plane orientation) [ref. 59,ref. 60].
The optically estimated dielectric constants (εopt) for the PI films were calculated from the following empirical relationship [ref. 21]:
εoptnav2
here nav denotes the average refractive indices [nav = (2nxy + nz)/3] of the PI films.
2.2.8. Mechanical Properties
The mechanical properties [tensile modulus (E), tensile strength (σb), and elongation at break (εb)] of the PI films (specimen length: 30 mm; width: 3 mm; typical thickness: 20 μm; and number of valid specimens > 10) were evaluated at a cross-head speed of 8 mm/min at room temperature on a mechanical testing machine (A & D, Tokyo, Japan, Tensilon UTM-II). The raw data were analyzed using a data processing program (Softbrain, Tokyo, Japan, UtpsAcS Ver. 4.09).
2.2.9. Water Uptake
The water uptake (WA) of the PI films was determined from the following relationship:
WAWW0W0
where W0 is the weight of a vacuum-dried film sample at 50 °C for 24 h, and W is the weight of the film immersed in water at 23 °C for 24 h and carefully blotted dry with tissue paper. KAPTON® H film (Toray Kapton Co., Tokyo, Japan, thickness: 50 μm) was used as a reference sample (WA = 2.7% [ref. 7]) in each weighing. The static electricity of the specimens was discharged using a static elimination gun (Milty, Bishop’s Stortford, UK, Zerostat 3) before each weighing.
2.2.10. Liquid Crystallinity
The liquid-crystal phase of the vertical-alignment-type diamines was observed on a polarizing optical microscope (POM, Olympus, Tokyo, Japan, BX51) equipped with a digital camera (Nikon, Tokyo, Japan, Coolpix 950) and a temperature-controllable hot stage (Mettler Toledo, Tokyo, Japan, FP82HT hot stage and FP 90 central processor).
3. Results and Discussion
3.1. Fundamental Demands and Selection of Pristine PI Structure to Be Modified
The fundamental demands in this study are as follows:
- Smooth polymerization without salt formation;
- Sufficiently high polymerization reactivity to obtain polymers with sufficiently high Mw;
- Extremely high heat resistance;
- Non-coloration;
- Film-forming ability and toughness;
- Low CTE;
- Low Z-direction birefringence (Δnth);
- Excellent solubility for solution casting from stable homogeneous PI solutions.
As mentioned in Section 1, Introduction, based on demands (i), (iii), and (iv), our target materials were narrowed down to semi-cycloaliphatic PIs (B-type), as shown in Scheme 25.

However, commercially available cycloaliphatic TCDAs (Figure 17) are not so abundant, suggesting their limited modification flexibility. Furthermore, many of these cycloaliphatic TCDAs do not always have sufficiently high polyaddition reactivity with aromatic diamines for obtaining PAAs and PIs with sufficiently high molecular weights ((demand (ii)), and consequently, sufficient film-forming ability and toughness (demand (v)). Highly reactive cycloaliphatic TCDAs satisfying demand (v) are virtually limited to 1,2,3,4-cyclobutanetetracarboxylic dianhydride (CBDA) [ref. 32,ref. 37,ref. 39]. Moreover, low-CTE characteristics (demand (vi)) originate from a great extent of main-chain in-plane orientation induced during thermal imidization [ref. 61,ref. 62,ref. 63,ref. 64], which has a strong trend to increase as their structural linearity/rigidity increases [ref. 49,ref. 50,ref. 51]. In semi-cycloaliphatic PIs (B-type), the steric structures of cycloaliphatic TCDAs are a crucial factor in determining whether a low CTE is achieved [ref. 18,ref. 25,ref. 26,ref. 41,ref. 47,ref. 48]. In this respect, CBDA is an unusual cycloaliphatic TCDA with relatively high structural linearity/rigidity (a crank-shaft-like structure [ref. 18], Figure 17), suggesting a high possibility of reducing the CTE [ref. 32,ref. 37]. This structural feature also contributes to the enhancement of the Tg [ref. 47]. Thus, to achieve demands (i)–(vi), there was no alternative to CBDA as the optimum cycloaliphatic TCDA for the purposes of the present study.

The aromatic diamines used with CBDA must also have linear/rigid structures to ensure a low CTE, with typical examples shown in Scheme 26.

However, the use of these rigid diamines often significantly deteriorates the optical transparency of the resulting PI films because of the difficulty in removing unknown colored impurities contained in them. Therefore, TFMB with a rigid structure and complete non-coloration was exclusively selected to achieve our goal. Thus, in this study, we focused on CBDA/TFMB polyimide (Scheme 27) as the optimal pristine system to be modified.

3.2. Impact of the Polymerization/PI Film Preparation Route
Although Route-C is often more advantageous for improving PI film transparency and reducing the CTE than Route-T, it is only applicable to highly soluble PI systems [ref. 26,ref. 32,ref. 65]. The benefit of Route-C on transparency is attributed to its milder film preparation condition without a thermal imidization process and the end-capping protection of the thermally unstable terminal amino groups by Ac2O during chemical imidization. Route-R also has similar advantages compared to Route-T. More specifically, Route-C is slightly advantageous over Route-R in terms of film transparency because a catalyst residue (1-ethylpiperidine) in Route-R is responsible for only slight film coloration in some cases [ref. 39]. Thus, the effect of the polymerization/film preparation route on the film transparency is as follows: Route-C ≥ Route-R >> Route-T (Table 2), as long as undesirable solvents (e.g., NMP) for solution casting are not used, as discussed later.
In systems with high polyaddition reactivity, the advantage for lowering CTE is as follows: Route-R (or Route-C) > Route-T (Table 2). The superiority of Route-R and Route-C is based on unique self-orientation behavior during the solution casting using PI solutions [ref. 26,ref. 39,ref. 65]. This unique behavior is usually not observed in common polymer systems, as evident by our observation that an NMP-cast poly(ether sulfone) film shows a three-dimensionally random chain orientation distribution with zero ∆nxy and an almost zero ∆nth (0.0001), corresponding to its high CTE (65 ppm/K). CTE is also prone to decrease as the molecular weights of PIs increase [ref. 26]. From this perspective, the advantage is as follows in some cases: Route-R > Route-C. Moreover, when the polyaddition reactivity of the monomers used is not sufficiently high to obtain PAAs with sufficiently high molecular weights, the process superiority in terms of film-forming ability (or toughness) is as follows: Route-R >> Route-C ≥ Route-T (Table 2).
Unfortunately, the selected pristine system to be modified (CBDA/TFMB) was not compatible with Route-C and Route-R [ref. 66] (Figure S3). Therefore, the success of this study depends on whether the solubility of CBDA/TFMB can be dramatically improved by copolymerization with adequate modifiers, and consequently, Route-C or Route-R becomes applicable.
3.3. Trade-Off Between Low CTE and Low Δnth
The addition of demand (vii), low Δnth, to demands (i)–(vi) is overwhelmingly challenging to achieve owing to the inherent difficulty in simultaneously achieving low CTE and low Δnth, as mentioned previously (Figure 1). This trade-off is evident from the CTE–Δnth correlation diagram of various transparent PIs that we have investigated so far (Figure 18). For example, the colorless films of rigid PIs, i.e., s-BPDA/t-CHDA (s-BPDA = 3,3′,4,4′-biphenyltetracarboxylic dianhydride, t-CHDA = trans-1,4-cyclohexanediamine, #1, inset photograph in Figure 18 [ref. 66]) and PMDA/t-CHDA (PMDA = pyromellitic dianhydride, #2 [ref. 67]), show very low CTE values (10 ppm/K) and concomitantly increased Δnth (>0.1). Conversely, their counterparts using a flexible cycloaliphatic diamine (4,4′-methylenebis(cyclohexylamine), mixture of isomers, MBCHA), i.e., s-BPDA/MBCHA, #28 [ref. 68] and PMDA/MBCHA, #26 [ref. 67]), showed high CTE values (>50 ppm/K), which are due to poor in-plane orientation based on their distorted main-chain structures, and concomitantly, significantly low Δnth values.

First, we narrowed down an optimum pristine system with the potential to achieve our goals via various modifications by understanding the structure–Δnth relationship. The intrinsic birefringence (Δn0) of polymers, which is determined only by the molecular structures, is expressed based on the Lorentz–Lorenz equation as follows [ref. 69,ref. 70]:
where ρ and denote the density and average refractive index of the film specimens, respectively, NA is Avogadro constant, and M0 and Δα represent the molar mass and polarization anisotropy of the polymer repeating units. In in-plane isotropic (negative-C) films, such as non-stretched PI cast films discussed in this study, birefringence (Δn) is expressed by defining the Z (thickness)-direction as an optical axis in the following equation:
nnznxyfn0
where f represents the Hermans orientation function: f = <3cos2θ − 1>/2 (θ: statistical angle between the polymer main chains and the optical axis (Z-direction)). The f ranges from –0.5 at θ = 90° [perfect main-chain orientation in the XY-direction (perfect in-plane orientation) to 1 at θ = 0° (perfect main-chain orientation in the Z-direction, i.e., perfect vertical alignment). Therefore, from Equations (3) and (7), Δnth is expressed as follows:
nthfn0
For example, using Δn0 = 0.66 of the s-BPDA/p-PDA (p-PDA = p-phenylenediamine) PI film, which was estimated in our previous paper [ref. 71], a virtual film of s-BPDA/p-PDA with perfect in-plane (ideal 2D) orientation is presumed to have Δnth = –(–0.5) × 0.66 = 0.33 from the simple calculation based on Equation (8). The actual s-BPDA/p-PDA PI film exhibited a very high Δnth value (0.24 [ref. 72]) close to that of the ideal 2D orientation (Δnth = 0.33), corresponding to the extremely low CTE (5–10 ppm/K) arising from significant in-plane orientation [ref. 49,ref. 50,ref. 51,ref. 61,ref. 62].
In contrast to the s-BPDA/p-PDA system, the only way to suppress an increase in Δnth while maintaining a low CTE is to reduce the structure-originating Δn0 value. Thus, Equation (6) indicates that chemical structures with lower and Δα are valuable as those of the pristine PI system. Considering that the electronic polarization of PIs decreases in the following order: wholly aromatic PIs > semi-cycloaliphatic PIs (A-type) ≥ semi-cycloaliphatic PIs (B-type) > wholly cycloaliphatic PIs, wholly cycloaliphatic PIs without π electrons are, in principle, the best choice as the pristine system. Poorly polarized fluorine-containing systems are also preferable for similar reasons. Indeed, the plots (□) of wholly cycloaliphatic PIs in Figure 18 are positioned in a much-lower-Δnth region away from the other plots. In particular, the wholly cycloaliphatic CBDA/t-CHDA system (□, #30 in Figure 18), consisting of a relatively linear/rigid structure, exhibited relatively low CTE (25.7 ppm/K) and Δnth (0.0199) [ref. 67]. In contrast, the plots of π-electron-rich wholly aromatic PMDA/4,4′-ODA (4,4′-ODA = 4,4′-oxydianiline, ▲, ■ in Figure 18) were located in a higher-Δnth region than the other plots, corresponding to the above descriptions.
Despite the above-mentioned superiority of the CBDA/t-CHDA system, this PI was excluded as a candidate for the pristine PIs owing to the manufacturing complexity to obtain a flexible colorless PI film: a controlled fraction of silylation of t-CHDA, polyaddition in a mixed solvent containing toxic hexamethylphosphoric triamide, and solvent extraction (removal) from the PAA cast film before thermal imidization [ref. 67].
The above-mentioned order of electronic polarization—semi-cycloaliphatic PIs (A-type) ≥ semi-cycloaliphatic PIs (B-type)—is based on the following facts: in A-type, the imide C=O groups participate in electronic conjugation with the central aromatic groups, whereas in B-type, such conjugation extension in the aromatic unit in the diamine parts is minor [ref. 10,ref. 74], as suggested by the comparison of nav between the biphenyl ether-containing systems: nav = 1.634 for ODPA/t-CHDA (ODPA = 4,4′-oxydiphthalic anhydride, A-type) and nav = 1.622 for H-PMDA/4,4′-ODA (H-PMDA = hydrogenated PMDA, B-type) (Scheme 28).

Among semi-cycloaliphatic PIs (B-type), the CBDA/TFMB PI film prepared via Route-T under the standard thermal conditions (code-c in Figure 18) maintained a relatively low CTE and Δnth in addition to high optical transparency, as mentioned previously. We subsequently prepared PI films of this system under various conditions (see the caption of Figure 18). The obtained plots (●) formed a clear CTE–Δnth curve without significant data scattering. This clear CTE–Δnth correlation also suggests that both experimental parameters were accurately determined, and the CTE values are primarily governed by the degree of in-plane orientation. The CTE–Δnth curve obtained in the CBDA/TFMB system seems to represent a “realistic lower boundary” because many other plots (except for the plots of the wholly cycloaliphatic PIs (□)) are located above this curve (yellow-shaded region). As mentione above, the structure-dependent electronic polarization decreases in the following order—wholly aromatic PIs > semi-cycloaliphatic PIs (A-type) > B-type > wholly cycloaliphatic PIs. Therefore, the CTE–Δnth curve is presumed to shift parallel toward the lower Δnth direction while maintaining a similar shape. Indeed, it appears that the plots of the wholly cycloaliphatic PIs (□) form another CTE–Δnth curve that is significantly shifted downward, although there are only a few data points.
In this study, we established a target area satisfying both CTE ≤ 20 ppm/K and Δnth ≤ 0.02 as a temporal goal, as shown in Figure 18, and undertook various chemical modifications of CBDA/TFMB to exceed the lower limit curve toward the target area without the help of wholly cycloaliphatic PIs and fillers.
3.4. Attempt to Modify CBDA/TFMB Using a Liquid-Crystalline Diamine
We first attempted to modify CBDA/TFMB with 35DAB-BPC12 (Scheme 4), which is expected to vertically align. This diamine monomer showed complex thermal-transition behavior, as shown in its DSC curves during the heating and cooling processes (Figure S4a). A thermotropic liquid-crystal (LC) phase was observed in the temperature range of 172.8–178.4 °C during the heating process and 176.4–165.5 °C during the cooling process, as shown in the POM photograph taken at 172.8 °C in the heating process (Figure S4b). The results indicate that the p-biphenylene benzoate unit in this diamine can behave as a mesogenic unit. From the appearance of the LC phase, it is presumed that the biphenyl benzoate units are extended with a rod-like shape and densely aggregated (Figure S4c), as is common in nematic liquid crystals.
When this LC diamine was partially incorporated into CBDA/TFMB, the PI main chains align in the XY-direction, and concomitantly, the n-dodecyl-substituted mesogenic units are expected to extend in the Z-direction (homeotropic alignment) to minimize the molecular contact with PI chains owing to expected poor miscibility between the n-dodecyl group and PI chains (Figure S5). Due to the high polarization anisotropy (∆α = α// − α⊥, α//: long-axis polarization; α⊥: short-axis polarization) of the p-biphenylene benzoate side group [ref. 69], this side group, if vertically aligned, is expected to negate the XY-direction polarization due to the main-chain in-plane orientation, and consequently, reduce the Δnth.
The results of the polymerization and film properties (Route-T) of CBDA/TFMB modified with 35DAB-BPC12 (Figure 19) are summarized in Table 3. In the copolymer with 20 mol% 35DAB-BPC12 (#1T), no appreciable deterioration of the optical transparency was observed compared to the pristine system (#0T), as shown in the photograph of the film (#1T) at the bottom of Table 3. However, the transparency significantly decreased at 50 mol% 35DAB-BPC12 (YI = 8.57). This coloration is probably due to a trace amount of a colored product generated from partial thermal decomposition of the less thermally stable n-dodecyl group during thermal imidization. As the 35DAB-BPC12 content increases when going from #0T to #1T and #2T, there was no significant decrease in the Tg, whereas the CTE abruptly increased (CTE = 98.7 ppm/K, #2T), as plotted in Figure 20A(a). This significant increase in CTE is a crucial problem, as low CTE is essential in this study. When going from #0T to #1T and #2T, the εopt increased almost linearly with increasing 35DAB-BPC12 content, corresponding to the increase in the π electrons originating from the aromatic units of this modifier (Figure 20B(a)). This reasonable linear increase in εopt supports the experimental accuracy for the refractive indices (nxy and nz), ∆nth, and nav of these films, because εopt is calculated using the raw data of the refractive indices. In other modifier systems, similar reasonable linear increases in εopt were observed with increasing modifier contents (Figure 20B(e)), as discussed later.

Table 3: Polymerization results and film properties of CBDA/TFMB- and H′-PMDA/TFMB-based PIs modified using 35DAB-BPC12 and related systems. The photographs at the bottom of this table show the appearance of selected PI films (#0T, #1T, #3C, and #4C).
| No. | TCDA(mol%) | Diamine(mol%) | ηred(dL/g) | Cast c | T400(%) | YI | λ0(nm) | Ttot(%) | Haze(%) | Δnth | εopt | Tg(°C) | CTE(ppm/K) | Td5 (N2)(°C) | Td5 (air)(°C) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0T | CBDA | TFMB | 1.63 a | — | 84.2 | 3.97 | 302 | 89.8 | 0.87 | 0.0477 | 2.68 | 345 | 22.9 | 444 | 432 |
| 1T | CBDA | TFMB (80)35DAB-BPC12 (20) | 1.56 a | — | 84.8 | 1.74 | 328 | 90.2 | 1.91 | 0.0235 | 2.72 | 311 | 52.3 | 397 | 384 |
| 2T | CBDA | TFMB (50)35DAB-BPC12 (50) | 1.28 a | — | 68.0 | 8.57 | 349 | 82.7 | 1.17 | 0.0097 | 2.76 | 324 | 98.7 | 409 | 383 |
| 3C | H′-PMDA | TFMB | 3.28 a1.35 b | CPN15 wt% | 86.1 | 1.77 | 293 | 90.5 | 2.02 | 0.0439 | 2.63 | 337 | 39.5 | 502 | 443 |
| 4C | H′-PMDA | TFMB (80)35DAB-BPC12 (20) | 1.30 a0.87 b | CPN20 wt% | 83.0 | 2.00 | 330 | 90.3 | 2.78 | 0.0144 | 2.69 | 287 | 42.0 | 386 | 372 |
| 5C | H′-PMDA | TFMB (70)35DAB-BPC12 (30) | 1.58 a1.04 b | CPN20 wt% | 81.3 | 1.97 | 337 | 90.0 | 1.74 | 0.0205 | 2.70 | 284 | 46.9 | 389 | 368 |
| 6T | CBDA (50)H′-PMDA (50) | TFMB (50)35DAB-BPC12 (50) | 1.43 a | — | 74.8 | 5.00 | 344 | 89.0 | 1.02 | 0.0018 | 2.76 | 298 | 106.3 | 391 | 370 |
| 6C | CBDA (50)H′-PMDA (50) | TFMB (50)35DAB-BPC12 (50) | 1.43 a0.88 b | CPN3 wt% | 72.1 | 2.85 | 349 | 89.3 | 4.01 | 0.0073 | 2.81 | 272 | 83.3 | 378 | 374 |
| 7C | H′-PMDA | TFMB (80)35DAB-BPC6 (20) | 2.35 a0.81 b | CPN20 wt% | 85.1 | — d | 324 | — d | — d | 0.0266 | 2.68 | 344 | 54.3 | 445 | 399 |
| 8C | H′-PMDA | TFMB (70)35DAB-BPC6 (30) | 1.85 a0.65 b | CPN20 wt% | 83.9 | — d | 327 | — d | — d | 0.0240 | 2.70 | 337 | 61.4 | 422 | 415 |
a Data for PAAs. b Data for PIs prepared via Route-C. c Homogeneous PI solutions (at room temperature) used for the solution casting process. The solutions were prepared upon warming as appropriate. d Unmeasured data. GPC data: M¯n = 7.28 × 104, M¯w = 1.25 × 105 for #3C.

When replacing CBDA with H′-PMDA (an isomer of H-PMDA, Figure 13), the solubility of the resulting PIs was significantly improved (Table S2), and consequently, Route-C became applicable. No deterioration of the solubility with increasing 35DAB-BPC12 content occurred, and the originally excellent solubility was maintained (Table S2). An increase in film coloration was significantly suppressed even when the 35DAB-BPC12 content was increased from 0 (#3C) to 20 (#4C) and 30 mol% (#5C), as shown in the photographs of these films at the bottom of Table 3. In addition, the increase in CTE with increasing 35DAB-BPC12 content was very gradual.
The solubility of #2T was significantly improved by copolymerization with H′-PMDA. Consequently, the resulting system (#6C) became compatible with Route-C and concomitantly afforded a cast film with suppressed coloration (YI = 2.85).
Figure 21 shows the CTE–Δnth correlation diagram for the 35DAB-BPCn-modified systems listed in Table 3. Most of these plots (□) were located on an extended curve (red dashed curve) of the lower boundary (blue dashed curve); thus, no prominent effect on overcoming the trade-off was observed. Furthermore, 35DAB-BPC6 (×), containing a shorter alkyl (n-hexyl) group, was also ineffective because these plots were positioned above the lower limit curve (blue dashed curve). Only #4C (□) slightly exceeded the lower limit curve, although its effect was not prominent. Thus, the modification effect of 35DAB-BPCn was much smaller than expected. Possible reasons for this are as follows: (1) obstruction of the main-chain in-plane orientation by the m-phenylene diamine-based functional group of 35DAB-BPCn, and (2) unrealized vertical alignment of the modifier unit due to the collapse of the extended form of the modifier unit (Figure S6), which can be caused by obstruction of inter-mesogenic dense stacking (an essential condition for LC formation, Figure S4c) due to a “thinning-out” (dilution) effect of the modifier units as a result of copolymerization.

3.5. Effect of Cardo-Type Modifiers
The results discussed in Section 3.4 suggested the importance of “perpendicularly and firmly” connecting the rotation-restricted rigid side groups to the PI main chains, while maintaining the para-configuration (or close to it) of the functional groups in the modifiers. From this point of view, we next attempted to modify CBDA/TFMB using cardo-type monomers, in which a rigid fluorene (FL) side group is firmly connected through the sp3 carbon atom to the 4,4′-methylenedianiline-based functional unit (Figure 22). Additionally, the bulky FL side group is expected to be effective for significantly improving the solubility of the resulting PIs, which plays a large role in achieving our goal, as discussed later, owing to the obstruction of dense inter-chain stacking [ref. 75,ref. 76,ref. 77].

We have previously investigated the basic properties of the PIs derived from cardo-TA-BPFL and cardo-AB-BPFL (Figure 19) [ref. 38]. However, at that time, we had no perspective on whether these monomers are effective in overcoming the trade-off between low CTE and low ∆nth. As a first attempt, we comprehensively re-examined the effectiveness of the systems using various cardo-type monomers by adding important optical properties.
Table 4 summarizes the polymerization results and film properties of the CBDA/TFMB-based PIs modified with a series of cardo-type monomers. The partial use of cardo-type monomers did not cause a significant decrease in ηred, suggesting their sufficiently high polyaddition reactivity (ηred > 1.0 dL/g). Some of the modified systems exhibited significantly improved solubility; consequently, they became compatible with Route-C and soluble in various common solvents, including non-amide solvents (e.g., GBL, cyclopentanone (CPN)), as summarized in Table S2. The features of the systems using each cardo-type modifier are described below.
Table 4: Polymerization results and film properties of the CBDA/TFMB-based PIs modified using cardo-type monomers and related systems. The photographs at the bottom of this table show the appearance of selected PI films (#10C and #13C).
| No. | TCDA(mol%) | Diamine(mol%) | ηred(dL/g) | Cast c | T400(%) | YI | λ0(nm) | Ttot(%) | Haze(%) | Δnth | εopt | Tg(°C) | CTE(ppm/K) | E(GPa) | εb (%)avemax | σb(GPa) | Td5(N2)(°C) | Td5(air)(°C) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0T | CBDA | TFMB | 1.63 a | — | 84.2 | 3.97 | 302 | 89.8 | 0.87 | 0.0477 | 2.68 | 345 | 22.9 | 6.57 | 5.28.0 | 0.19 | 444 | 432 |
| 9C | CBDA (70)cardo-TA-BPFL (30) | TFMB | 1.53 a1.63 b | DMAc9.9 wt% | 70.0 | 3.06 | 350 | 88.7 | 4.58 | 0.0585 | 2.76 | 275 | 37.3 | 4.46 | 4.05.7 | 0.12 | 456 | 443 |
| 10C | CBDA (50)cardo-TA-BPFL (50) | TFMB | 1.19 a1.19 b | GBL9.8 wt% | 65.9 | 3.58 | 358 | 88.6 | 1.36 | 0.0353 | 2.79 | 304 | 39.9 | 3.27 | 5.49.2 | 0.10 | 461 | 448 |
| 11C | cardo-TA-BPFL | TFMB | 0.67 a0.68 b | GBL9.1 wt% | 55.9 | 2.71 | 364 | 88.6 | 1.32 | 0.0205 | 2.88 | 285 | 50.7 | 2.40 | 5.07.3 | 0.08 | 498 | 469 |
| 12T | CBDA | TFMB (80)cardo-AB-BPFL (20) | 1.62 a | — | 84.1 | 3.12 | 318 | 89.4 | 0.79 | 0.0328 | 2.75 | — d | — d | — d | — d | — d | 417 | 419 |
| 13C | CBDA | TFMB (50)cardo-AB-BPFL (50) | 1.72 a1.57 b | DMAc8 wt% | 84.4 | 1.81 | 318 | 88.8 | 3.65 | 0.0342 | 2.87 | 343 | 30.8 | 3.53 | 7.29.8 | 0.14 | 440 | 425 |
| 14C | CBDA | cardo-AB-BPFL | 1.07 a | — | Chemical imidization was unsuccessful due to precipitation | |||||||||||||
| 15C | CBDA | TFMB (80)cardo-AB-BCFL (20) | 1.35 a | DMAc9.9 wt% | 79.9 | 5.80 | 321 | 89.3 | 0.80 | 0.0215 | 2.75 | — d | — d | — d | — d | — d | 436 | 427 |
| 16C | CBDA | TFMB (50)cardo-AB-BCFL (50) | 1.37 a1.90 b | CPN17 wt% | 85.7 | 1.57 | 317 | 88.2 | 0.92 | 0.0349 | 2.85 | 335 | 36.6 | 4.52 | 7.614.4 | 0.16 | 441 | 421 |
| 17C | CBDA | cardo-AB-BCFL | 2.00 a1.03 b | CPN17 wt% | 84.8 | 1.65 | 319 | 88.6 | 1.55 | 0.0176 | 2.95 | 326 | 42.8 | 3.83 | 7.911.0 | 0.14 | 413 | 413 |
| 18T | CBDA | TFMB (80)cardo-AP-BPFL (20) | 1.62 a | — | 78.1 | 5.94 | 319 | 88.1 | 1.01 | 0.0288 | 2.76 | — d | — d | — d | — d | — d | 448 | 433 |
a Data for PAAs. b Data for PIs prepared via Route-C. c Homogeneous PI solutions (at room temperature) used for solution casting. The solutions were prepared by heating the PI powder/solvent mixture for a short period as appropriate. d Data not available because of the difficulty of the measurements due to film brittleness. GPC data: M¯n = 3.26 × 104 and M¯w = 8.14 × 104 for #10C; M¯n = 1.98 × 104 and M¯w = 5.04 × 104 for #11C.
3.5.1. Cardo-TA-BPFL-Modified Systems
The film properties of CBDA/TFMB-based systems modified with ester-linked cardo-TA-BPFL (Figure 19) are summarized in Table 4. The increase in the cardo-TA-BPFL content from 0 (#0T) to 30 (#9C), 50 (#10C), and 100 mol% (#11C) caused a gradual decrease in the optical transparency, as illustrated by the concomitant decreases in T400 and Ttot. As a typical example, the appearance of the #10C film is shown at the bottom of this table. The observed gradual decrease in the transparency can likely be attributed to a gradual increase in weak intramolecular (through-bond) CT interactions [ref. 10,ref. 11,ref. 12] between the electron-accepting trimellitimide unit (originating from cardo-TA-BPFL) and the electron-donating N-aromatic unit (from TFMB) (Figure S7a). An increase in the cardo-TA-BPFL content also resulted in gradual increases in the thermal stability [Td5(N2)], thermo-oxidative stability [Td5(air)], and εopt, owing to the concomitantly increased aromaticity. Moreover, as the cardo-TA-BPFL content increases, the ∆nth decreased with an undesirable increase in the CTE. No clear toughening effect of cardo-TA-BPFL was observed, as suggested from the comparison of the εb of #0T, #9C, #10C, and #11C.
3.5.2. Cardo-AB-BPFL-Modified Systems
The film properties of the systems modified with ester-linked cardo-AB-BPFL (Figure 19) are summarized in Table 4. In contrast to the cardo-TA-BPFL-modified systems, an increase in the cardo-AB-BPFL content did not deteriorate the film transparency, as indicated by their maintained high T400 values, owing to the absence of the afore-mentioned CT interactions in these PIs using only non-aromatic CBDA as the TCDA.
Unexpectedly, the copolymer film with 50 mol% cardo-AB-BPFL (#13C) exhibited higher transparency (lower YI) than the pristine system (homo CBDA/TFMB (#0T)). The appearance of this colorless PI film (#13C) is shown at the bottom of Table 4. This result reflects the fact that the #13C film was prepared via Route-C due to the significantly improved solubility, which is more advantageous for suppressing film coloration than Route-T, as described in Section 3.2. In addition, copolymerization with cardo-AB-BPFL did not cause a significant decrease in Tg; for example, Tg = 343 °C at 50 mol% cardo-AB-BPFL (#13C) and 345 °C for CBDA/TFMB (#0T). The extremely high Tg of #13C reflects the prohibited own internal rotation of the bulky FL side group firmly connected through the sp3 carbon atom in addition to the restricted internal rotation around the ester groups due to a large sweep volume of the FL side group. The #13C film also showed a somewhat decreased ∆nth compared to that of the pristine system (CBDA/TFMB, #0T), with an inevitably somewhat increased CTE. From the comparison of #13C and #0T, no clear toughening effect of cardo-AB-BPFL was observed.
3.5.3. Cardo-AB-BCFL-Modified Systems
CBDA/TFMB was also modified using dimethyl-substituted cardo-AB-BPFL, i.e., cardo-AB-BCFL (Figure 19). The incorporation of dimethyl groups into cardo-AB-BPFL was effective for further improving the solubility of the resulting PIs, as shown in Table 4 and Table S2. For example, the copolymer with 20 mol% cardo-AB-BCFL (#15C) became compatible with Route-C in contrast to the incompatibility of its methyl group-free counterpart (#12T). Furthermore, #15C provided a stable DMAc solution even at a high solid content (9.9 wt%) at room temperature. Thus, the dimethyl substituents of cardo-AB-BCFL greatly contributed to the improvement of solubility. An increase in the cardo-AB-BCFL content to 50 mol% (#16C) led to a highly soluble PI in a non-amide solvent (CPN) at a high solid content of 17 wt%. The resulting cast film exhibited a relatively high modulus (4.52 GPa) while maintaining the highest toughness (εb max = 14.4%) among the PIs listed in Table 4. This copolymer film (#16C) showed a somewhat decreased ∆nth, compared to that of the pristine system (#0T), with a concomitantly increased CTE. No clear trends of the deterioration of the film transparency and Tg were observed with an increase in the cardo-AB-BCFL content.
3.5.4. Cardo-AP-BPFL-Modified Systems
A counterpart of ester-linked cardo-AB-BPFL, ether-linked cardo-AP-BPFL (Figure 19), was also used to modify CBDA/TFMB with the expectation of significant improvement in film toughness due to the flexible ether group of this modifier. The copolymer with 20 mol% cardo-AP-BPFL (#18T) was incompatible with Route-C owing to gelation during chemical imidization, as was the case for the corresponding copolymer using the ester-linked counterpart (#12T). Even increasing the cardo-AP-BPFL content to 50 mol% remained ineffective for improving the Route-C compatibility owing to precipitation during chemical imidization, in contrast to the corresponding copolymer using its ester-linked counterpart (#13C) with the Route-C compatibility. Thus, the solubility-improving effect of these modifiers was as follows: cardo-AP-BPFL (ether-linked) < cardo-AB-BPFL (ester-linked).
Despite a sufficiently high ηred value of the PAA (1.62 dL/g), the thermally imidized copolymer film with 20 mol% cardo-AP-BPFL (#18T) was unexpectedly too brittle to conduct mechanical property measurements. This PI film (#18T) exhibited higher Td5 values in both N2 and air atmospheres than the corresponding copolymer using the ester-linked counterpart (#12T), without contradicting the fact that the ether-connecting group is more thermally stable than the ester-connecting group [ref. 78].
3.5.5. CTE–Δnth Correlation for the Systems Using Cardo-Type Modifiers
Figure 23 shows the CTE–Δnth correlation diagram for the systems using various cardo-type modifiers listed in Table 4. Many of these plots (◊) were located above the lower limit curve, suggesting that they were ineffective in overcoming the trade-off between low CTE and low ∆nth. A few plots (#13C and #17C) only slightly exceeded the lower limit curve, although the observed effect was much smaller than expected. The cardo-AB-BPFL used in #13C was not advantageous for reducing CTE. This is probably due to a “hinge” structure common to cardo-type monomers, which reduces main-chain linearity due to chain distortion at the sp3 carbon atom, which consequently disturbs main-chain in-plane orientation during thermal imidization (Route-T) or solution casting (Route-C).

3.6. Effect of Spiro-Type Modifiers
The results discussed in Section 3.5 suggested that it is essential to exclude the hinge structures, such as those in the cardo-type modifiers, for achieving our goals. Therefore, next, we focused on spiro-type modifiers that have a unique structure comprising a planar xanthene (XAN) unit and a firmly/perpendicularly bound FL unit (Figure 2). Here, the long axis of the FL side group is expected to align in the Z-direction when the XAN-incorporated PI main chains are aligned in the XY-direction along with the “face-on” local orientation of the XAN molecular plane. The mutual perpendicular configuration between the XAN and FL molecular planes is supported by a distinct high-magnetic field shift in the 1H-NMR spectra (δ ≈ 6.2 ppm) of the 1,8-protons of the FL-pendant XAN (cf. δ = 7.25 ppm for the 1,8-protons of non-substituted XAN in DMSO-d6 at 400 MHz [ref. 57]), as mentioned in the Experimental Section. We have previously investigated the basic properties of PIs using spiro-TA-FLX and spiro-AB-FLX without considering the CTE–Δnth problem [ref. 38]. In this study, we re-examined the related systems to comprehensively discuss the effects of these spiro-type monomers by adding important optical properties.
3.6.1. Modifications with Ether-Linked Spiro-Type Diamines
The polymerization results and film properties of CBDA/TFMB-based PIs modified using ether-linked spiro-type diamines (Figure 19) are summarized in Table 5. In these modified systems, PAAs with sufficiently high ηred values (≥ ~ 1.0 dL/g) were obtained, suggesting sufficiently high polyaddition reactivity of these modifier diamines with CBDA. The deterioration of the film transparency arising from copolymerization with these modifiers was limited. However, a prominent solubility-improving effect of these modifiers was not observed; consequently, Route-C remained incompatible, as exemplified by the copolymers with 20 mol% modifiers (#19T, #22T, and #28T). The features of systems using each modifier are described below.
Table 5: Polymerization results and film properties of the CBDA-based PIs modified using ether-linked spiro-type diamines and related systems. The photographs at the bottom of this table show the appearance of selected PI films (#20C and #23T).
| No. | Diamine(mol%) | ηred(dL/g) | Cast c | T400(%) | YI | λ0(nm) | Ttot(%) | Haze(%) | Δnth | εopt | Tg(°C) | CTE(ppm/K) | E(GPa) | εb (%)avemax | σb(GPa) | Td5(N2)(°C) | Td5(air)(°C) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0T | TFMB | 1.63 a | — | 84.2 | 3.97 | 302 | 89.8 | 0.87 | 0.0477 | 2.68 | 345 | 22.9 | 6.57 | 5.28.0 | 0.19 | 444 | 432 |
| 19T | TFMB (80)spiro-AP-FLX (20) | 1.26 a | — | 85.3 | 1.91 | 314 | 88.5 | 1.22 | 0.0297 | 2.79 | — d | — d | — d | — d | — d | 443 | 447 |
| 20T | TFMB (50)spiro-AP-FLX (50) | 2.31 a | — | 75.5 | 7.55 | 317 | 87.6 | 0.66 | 0.0180 | 2.86 | 331 | 49.9 | 2.21 | 3.45.2 | 0.046 | 445 | 427 |
| 20C | TFMB (50)spiro-AP-FLX (50) | 1.85 a2.24 b | DMAc7.4 wt% | 77.4 | 5.03 | 317 | 88.1 | 2.18 | 0.0360 | 2.87 | 356 | 39.1 | 3.95 | 8.011.3 | 0.14 | 449 | 433 |
| 21C | spiro-AP-FLX | 2.50 a1.64 b | DMAc7 wt% | 80.0 | 3.41 | 317 | 87.7 | 1.71 | 0.0198 | 3.00 | 360 | 49.1 | 2.75 | 8.719.5 | 0.11 | 467 | 447 |
| 22T | TFMB (80)spiro-mAP-FLX (20) | 1.45 a | — | 82.4 | 4.03 | 314 | 89.0 | 0.30 | 0.0249 | 2.77 | 326 | 43.5 | — d | — d | — d | 428 | 429 |
| 23T | TFMB (50)spiro-mAP-FLX (50) | 0.99 a | — | 80.7 | 4.12 | 316 | 88.4 | 0.99 | 0.0091 | 2.88 | 302 | 47.3 | — d | — d | — d | 466 | 429 |
| 23C | TFMB (50)spiro-mAP-FLX (50) | 0.99 a1.14 b | CPN15 wt% | 53.3 | 16.52 | 316 | 84.8 | 0.89 | 0.0317 | 2.88 | 304 | 39.3 | 4.11 | 4.86.9 | 0.13 | 449 | 432 |
| 24T | spiro-mAP-FLX | 0.34 a | — | Data not available because of the absence of film-forming ability | |||||||||||||
| 25T | TFMB (80)spiro-TFAP-FLX (20) | 2.36 a | — | 81.3 | 4.29 | 314 | 89.2 | 4.00 | 0.0238 | 2.71 | — e | 44.1 | — d | — d | — d | 439 | 425 |
| 25R f | TFMB (80)spiro-TFAP-FLX (20) | 2.41 | DMAc10.5 wt% | 59.6 | 16.5 | 311 | 85.7 | 0.99 | 0.0354 | 2.73 | 369 g | 41.6 | 2.57 | 3.23.3 | 0.072 | — | — |
| 26T | TFMB (50)spiro-TFAP-FLX (50) | 1.82 a | — | 78.6 | 4.91 | 315 | 88.3 | 2.18 | 0.0091 | 2.78 | — d | — d | — d | — d | — d | 442 | 431 |
| 26C | TFMB (50)spiro-TFAP-FLX (50) | 1.82 a2.28 b | CPN13 wt% | 80.8 | 3.06 | 314 | 89.1 | 3.26 | 0.0453 | 2.79 | 339 | 42.2 | 3.82 | 9.721.1 | 0.13 | 456 | 437 |
| 27C | spiro-TFAP-FLX | 1.08 a1.16 b | CPN18 wt% | 84.7 | 2.01 | 314 | 89.3 | 1.16 | 0.0198 | 2.84 | 328 | 56.3 | 2.98 | 9.413.1 | 0.12 | 460 | 449 |
| 28T | AB-TFMB (80)spiro-AP-FLX (20) | 1.26 a | — | 79.1 | 4.09 | 342 | 84.6 | 0.72 | 0.0623 | 2.92 | 346 | 15.2 | — d | — d | — d | 448 | 433 |
| 29T h | AB-TFMB (50)spiro-AP-FLX (50) | 2.31 a | — | 79.9 | 3.75 | 338 | 87.8 | 0.75 | 0.0424 | 2.95 | 344 | 30.5 | 3.60 | 8.414.4 | 0.14 | 446 | 428 |
a Data for PAAs. b Data for PIs prepared via Route-C. c Homogeneous PI solutions (at room temperature) used for the solution casting process. The solutions were prepared upon warming as appropriate.d Data not available because of the difficulty of the measurements due to film brittleness. e Data not available because the specimen fractured during DMA. f Sample polymerized in NMP via Route-R. g Tg determined by TMA method. h Chemical imidization was successful (ηred = 1.85 dL/g (PAA) and 2.24 dL/g (PI)). However, it was difficult to obtain a sufficiently high solid content of the PI solution even in DMAc for the subsequent solution casting process. Thus, the PI film was prepared via Route-T. GPC data: M¯n = 1.02 × 105 and M¯w = 1.84 × 105 for #26C; M¯n = 9.15 × 104 and M¯w = 1.84 × 105 for # 27C.
- spiro-AP-FLX-modified systems
Even though this diamine contains a flexible/rotatable ether linkage, copolymerization with this modifier did not result in a crucial decrease in the Tg compared to that of the pristine system (#0T, Tg = 345 °C), even at a high modifier content of 50 mol% (Tg = 331 °C for #20T and 356 °C for #20C). This PI film (#20C) also maintained relatively high transparency, as shown in the photograph at the bottom of Table 5. The observed high-Tg characteristics likely reflect that the internal rotation around the ether groups, which are usually easily rotatable, is significantly restricted, owing to a very large sweep volume of the FL-pendant XAN unit. However, from the comparison of #0T, #20C, and #21C, copolymerization using ether-linked spiro-AP-FLX inevitably resulted in a significant increase in the CTE with somewhat improved εb values.
We have previously demonstrated that an amide-linked CF3-containing diamine (AB-TFMB, bottom of Figure 18, Document S4, Scheme S6) is very effective for lowering CTE [ref. 32,ref. 37,ref. 39]. In the present study, when replacing TFMB in #19T with AB-TFMB (#28T), a quite low CTE of 15.2 ppm/K was obtained along with an undesirable significant increase in the ∆nth. Even at 50 mol% spiro-AP-FLX (#29T), a relatively low CTE (30.5 ppm/K) was maintained with the help of AB-TFMB. However, when CBDA/AB-TFMB was selected as another pristine system, as in #29T, the resulting copolymers tended to show somewhat lower transparency than when CBDA/TFMB as the pristine system was selected, as suggested by the comparison between #19T and #28T.
- spiro-mAP-FLX-modified systems
The observed increase in the CTE by copolymerization with spiro-AP-FLX was very likely attributable to a hindered in-plane orientation accompanied by the decreased main-chain linearity due to its ether linkage. Taking this interpretation into account, we attempted to modify the pristine system using an isomeric counterpart of spiro-AP-FLX, namely, meta-ether-linked spiro-mAP-FLX (Figure 19), with the expectation of lowering the CTE. This idea is inspired by the fact that PMDA/3,4′-ODA containing a meta-linkage has a somewhat higher modulus and lower CTE than PMDA/4,4′-ODA [ref. 79,ref. 80], which is probably related to an improved main-chain linearity of the former (Figure S8). The comparison of a copolymer modified with spiro-mAP-FLX (#23C) and its counterpart with spiro-AP-FLX (#20C) showed that the former has obviously improved solubility (Table S2). However, no prominent effect of using spiro-mAP-FLX on reducing CTE was observed. Thus, this attempt was unsuccessful.
There was an irregular case; the copolymer using spiro-mAP-FLX (#23T) led to a PI film with relatively high transparency, as shown in the photograph at the bottom of Table 5, whereas the same composition of PI via Route-C (#23C) formed a slightly colored film, although the reason for this is not clear. The latter may be related to the coloration of the CPN solution prepared for the subsequent solution casting; the CPN solutions of PIs become empirically colored upon heating at elevated temperatures in some cases.
- spiro-TFAP-FLX-modified systems
To significantly enhance the solubility-improving effect of the modifiers, CF3-substituted spiro-TFAP-FLX (Figure 19) was used. The film properties of the spiro-TFAP-FLX-modified systems are summarized in Table 5. When comparing the copolymer with 20 mol% spiro-TFAP-FLX (#25R) and its counterpart with 20 mol% CF3-free spiro-AP-FLX (#19T), the former became compatible with Route-C owing to its significantly improved solubility, whereas the latter was applicable to only Route-T owing to its insufficient solubility. The PI film (#25R) did not break during a convenient folding test at virtually zero curvature radius, suggesting the minimum-necessary ductility of this film. However, the εb value measured upon tensile testing suggested that this PI film is quite brittle. The CBDA/spiro-TFAP-FLX homo PI film (#27C) exhibited a lower εopt (2.84) than its CF3-free counterpart (CBDA/spiro-AP-FLX, #21C) (εopt = 3.00), reflecting the very low polarizability of the CF3 groups. From a comparison of the copolymer with 50 mol% spiro-TFAP-FLX (#26C) and the corresponding copolymer with 50 mol% CF3-free spiro-AP-FLX (#20C), the former exhibited an appreciable toughening effect.
As the spiro-TFAP-FLX content increases from #25R to #26C and #27C, a gradual increase in the CTE was observed with an unexpectedly small slope despite the presence of the ether linkage in this modifier (Figure 20A(b)).
- CTE–Δnth correlation for the systems modified using ether-linked spiro-type diamines
Figure 24 exhibits the CTE–Δnth correlation diagram for the systems modified using ether-linked spiro-type diamines listed in Table 5. Many of these plots (×) were positioned above the lower limit curve, indicating that these modifications were ineffective. On the other hand, #28T and #23T slightly exceeded the lower limit curve, although the effect was not prominent. Although the former (#28T), which is the combination of AB-TFMB and CF3-containing spiro-TFAP-FLX, was satisfactory in terms of the desired low-CTE property, its observed Δnth was too large. Conversely, the latter (#23T), modified using spiro-mAP-FLX, was satisfactory in terms of low Δnth, but its observed CTE was not.

3.6.2. Modification with Ester-Linked Spiro-Type Monomers
To reduce CTE without the help of AB-TFMB, the connecting group in the above-mentioned ether-linked modifiers was replaced with a more rigid ester group. The polymerization results and film properties of the CBDA/TFMB-based systems modified using ester-linked spiro-type monomers (Figure 19) are summarized in Table 6. These monomers had sufficiently high polyaddition reactivity, as suggested by the sufficiently high ηred values of the resulting PAAs. Additionally, these modifiers significantly improved their solubility (Table S2). The features of the systems modified using each modifier are described below.
Table 6: Polymerization results and film properties of the CBDA-based PIs modified using ester-linked spiro-type monomers and related systems. The photographs at the bottom of this table show the appearance of selected PI films (#31C and #38C).
| No. | TCDA(mol%) | Diamine(mol%) | ηred(dL/g) | Cast c | T400(%) | YI | λ0(nm) | Ttot(%) | Haze(%) | Δnth | εopt | Tg(°C) | CTE(ppm/K) | E(GPa) | εb (%)avemax | σb(GPa) | Td5(N2)(°C) | Td5(air)(°C) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0T | CBDA | TFMB | 1.63 a | — | 84.2 | 3.97 | 302 | 89.8 | 0.87 | 0.0477 | 2.68 | 345 | 22.9 | 6.57 | 5.28.0 | 0.19 | 444 | 432 |
| 30C | CBDA (70)spiro-TA-FLX (30) | TFMB | 0.99 a1.20 b | DMAc7 wt% | 69.2 | 3.86 | 348 | 88.9 | 1.50 | 0.0400 | 2.84 | — e | 27.9 | 4.62 | 5.97.2 | 0.15 | 454 | 447 |
| 31C | CBDA (50)spiro-TA-FLX (50) | TFMB | 1.22 a1.44 b | DMAc7 wt% | 66.7 | 3.31 | 353 | 88.8 | 1.13 | 0.0506 | 2.86 | 345 | 29.0 | 5.10 | 6.79.9 | 0.18 | 452 | 445 |
| 32C | spiro-TA-FLX | TFMB | 1.53 a1.17 b | GBL9.1 wt% | 48.3 | 3.74 | 367 | 88.2 | 1.90 | 0.0367 | 2.89 | 323 | 45.6 | 2.77 | 6.19.8 | 0.09 | 491 | 471 |
| 33T | CBDA | AB-TFMB | 8.21 a | — | 70.0 | 7.60 | 345 | 85.6 | 2.86 | 0.0810 | 2.67 | 342 | 11.7 | 5.76 | 6.29.5 | 0.16 | 445 | 438 |
| 34T | CBDA (70)spiro-TA-FLX (30) | AB-TFMB | 3.55 a | — | 53.2 | 6.26 | 360 | 87.7 | 0.81 | 0.0530 | 2.92 | — d | 26.8 | — d | — d | — d | 442 | 437 |
| 34C | CBDA (70)spiro-TA-FLX (30) | AB-TFMB | 3.55 a4.46 b | DMAc8 wt% | 71.7 | 2.61 | 345 | 87.5 | 1.14 | 0.1160 | 2.97 | 354 | 5.6 | — d | — d | — d | 453 | 441 |
| 35T | CBDA (50)spiro-TA-FLX (50) | AB-TFMB | 2.35 a | — | 37.1 | 8.64 | 370 | 87.4 | 0.76 | 0.0450 | 2.97 | — d | 36.5 | — d | — d | — d | 443 | 434 |
| 35C | CBDA (50)spiro-TA-FLX (50) | AB-TFMB | 2.35 a2.11 b | DMAc8 wt% | 59.3 | 3.54 | 357 | 87.7 | 1.17 | 0.0847 | 2.98 | 350 | 14.6 | — d | — d | — d | 448 | 449 |
| 36C | spiro-TA-FLX | AB-TFMB | 1.46 a1.37 b | CPN8 wt% | 43.4 | 6.70 | 368 | 87.0 | 1.14 | 0.0643 | 3.03 | 315 | 22.2 | 2.57 | 9.613.7 | 0.11 | 451 | 455 |
| 37T | CBDA | TFMB (80)spiro-AB-FLX (20) | 1.71 a | — | 76.2 | 5.87 | 322 | 87.7 | 1.26 | 0.0256 | 2.76 | — d | — d | — d | — d | — d | 441 | 431 |
| 38C | CBDA | TFMB (50)spiro-AB-FLX (50) | 1.07 a1.63 b | CPN8 wt% | 82.8 | 3.67 | 320 | 87.0 | 2.29 | 0.0378 | 2.83 | 364 | 26.0 | 4.63 | 7.212.2 | 0.17 | 448 | 434 |
| 39C | CBDA | spiro-AB-FLX | 1.53 a1.75 b | CPN8 wt% | 79.2 | 5.66 | 328 | 87.3 | 1.20 | 0.0300 | 3.01 | 371 | 39.0 | 3.01 | 5.68.4 | 0.11 | 449 | 466 |
| 40T | CBDA | AB-TFMB (80)spiro-AB-FLX (20) | 1.27 a | — | 78.0 | 4.50 | 343 | 88.1 | 0.45 | 0.0456 | 2.90 | 423 | 24.6 | — d | — d | — d | 445 | 429 |
| 41C | CBDA | AB-TFMB (50)spiro-AB-FLX (50) | 1.88 a1.95 b | DMAc10 wt% | 80.9 | 4.31 | 340 | 87.7 | 1.43 | 0.0638 | 2.93 | 360 | 21.9 | 4.72 | 7.310.9 | 0.18 | 450 | 443 |
| 42C | CBDA | t-CHDA (50)spiro-AB-FLX (50) | 1.15 a0.93 b | DMAc10 wt% | 80.5 | 5.46 | 325 | 88.3 | 1.48 | 0.0182 | 2.91 | 335 | 40.8 | 1.98 | 5.69.0 | 0.067 | 414 | 430 |
| 43C | CBDA | TFMB (50)a–spiro-AB-FLX (50) | 2.38 a6.92 b | DMAc10 wt% | 80.8 | 3.36 | 320 | 87.7 | 2.81 | 0.0733 | 2.90 | 351 | 10.5 | 6.12 | 3.76.0 | 0.15 | 440 | 427 |
a Data for PAAs. b Data for PIs prepared via Route-C. c Homogeneous PI solutions (at room temperature) used for the solution casting process. The solutions were prepared upon warming as appropriate. d Data not available because of the difficulty of the measurements due to film brittleness. e Data not available because the specimen fractured during DMA. GPC data: M¯n = 5.09 × 104 and M¯w = 1.12 × 105 for # 32C; M¯n = 2.26 × 104 and M¯w = 6.35 × 104 for #36C.
- Modification with spiro-TA-FLX
As shown in Table 6, the modifications of CBDA/TFMB or CBDA/AB-TFMB using spiro-TA-FLX (Figure 19) resulted in gradual decreases in T400, owing to the afore-mentioned gradual increase in the weak intramolecular (through-bond) CT interactions [ref. 10,ref. 11,ref. 12] between the trimellitimide unit (from spiro-TA-FLX) and N-aromatic units (from TFMB or AB-TFMB) (Figure S7b). The observed increase in the CTE with increasing spiro-TA-FLX content from #0T to #30C and #31C was unexpectedly gradual. No clear toughening effect was observed during the increase in the spiro-TA-FLX content. These modified PI films (#30C and #31C) showed relatively high transparency with controlled YI values, as exemplified by the appearance of #31C at the bottom of Table 6.
Significantly reduced CTEs were observed in the CBDA/AB-TFMB-based PIs modified using spiro-TA-FLX (CTE = 5.6 ppm/K for #34C and 14.6 ppm/K for #35C), but with the concomitant significant increases in Δnth.
- Modification with spiro-AB-FLX
As shown in Table 6, the CBDA/TFMB-based copolymer (#38C) with 50 mol% spiro-AB-FLX (Figure 19) exhibited obviously high transparency (T400), as is evident from the appearance of this film at the bottom of this table, and a low CTE (26.0 ppm/K), but without a clear toughening effect.
Even though t-CHDA is usually disadvantageous for ensuring the solubility of the resulting PIs, the CBDA/t-CHDA(50);spiro-AB-FLX(50) copolymer (#42C) was unexpectedly compatible with Route-C, thus suggesting a significant solubility-improving effect of this modifier.
- Modification with asymmetric spiro-AB-FLX
We have previously investigated the basic properties of PIs derived from an asymmetric structure of ester-linked spiro-type monomers [ref. 38]. Among them, the properties of the CBDA/TFMB-based system modified using 50 mol% asymmetric (a)-spiro-AB-FLX (#43C) were compared with those of its symmetric counterpart (#38C) in Table 6. The former exhibited a prominent feature, namely, a significantly reduced CTE (10.5 ppm/K) compared to that of the latter (26.0 ppm/K). This is closely related to a mutual linear configuration between the two functional groups of a–spiro-AB-FLX (Scheme 29), which does not deteriorate the original main-chain linearity of pristine CBDA/TFMB when this modifier was copolymerized.

The observed very low CTE of the copolymer film (#43C) arises from self-in-plane orientation during solution casting [ref. 26,ref. 32,ref. 37,ref. 38,ref. 39,ref. 47,ref. 48,ref. 65], but with a concomitant significantly increased Δnth.
- CTE–Δnth correlation for the systems modified using ester-linked spiro-type monomers
Figure 25 exhibits the CTE–Δnth correlation diagram for the systems modified using ester-linked spiro-type monomers listed in Table 6. Many of these plots (∆) were located above the lower limit curve, suggesting the ineffectiveness of the ester-linked spiro-type monomers. On the other hand, the CBDA/TFMB-based copolymer (#38C) modified using 50 mol% spiro-AB-FLX slightly exceeded the lower limit curve.

Its counterpart using 50 mol% a–spiro-AB-FLX (#43C) also provided a plot (+) located slightly below the lower limit curve.
3.7. Comparison of the Modification Effect of Cardo-Type, Ether-Linked Spiro-Type, and Ester-Linked Spiro-Type Monomers and the Impact of Polymerization/Film Preparation Route
As typical examples, the superiority of each modifier for the CBDA/TFMB(50);modifier(50) copolymers was compared, as summarized in Table 7. The system using ester-linked spiro-AB-FLX (#38C) demonstrated better overall properties than its counterparts using the ester-linked cardo-type modifier (#13C), ether-linked spiro-type modifier (#20C), and ester-linked a–spiro-type modifier (#43C), with only one exception (#38C was inferior to #43C in terms of low CTE).
Table 7: The superiority/inferiority of the cardo– and spiro-type modifiers in terms of improving the selected properties in a comparison of the CBDA/TFMB(50);modifier(50) systems.
| Compared Systems and Superiority | |||
|---|---|---|---|
| Properties | Ester-Linked Spiro-(#38C) vs. Ester-Linked Cardo Modifiers (#13C) | Ester-Linked Spiro-(#38C) vs. Ether-Linked Spiro-Modifiers (#20C) | Ester-Linked Spiro-(#38C) vs. Ester-Linked a–Spiro-Modifiers (#43C) |
| Solubility | 38C ≥ 13C | 38C >> 20C | 38C > 43C |
| Film transparency | 13C ≥ 38C | 38C > 20C | 38C ≥ 43C |
| Heat resistance (Tg) | 38C > 13C | 38C ≥ 20C | 38C ≥ 43C |
| Low-CTE properties | 38C ≥ 13C | 38C > 20C | 43C > 38C |
| Film toughness | 38C ≈ 13C | 38C ≈ 20C | 38C > 43C |
When comparing Route-C with Route-T, a major benefit of Route-C becomes evident in Figure 26a. In a plot of the CTE data of the PI films prepared via Route-C (ordinate) against those of the identical chemical compositions of the PI films prepared via Route-T (abscissa), all plots are positioned below the Y = X line. This confirms that Route-C is always more effective in reducing CTE than Route-T.

Another benefit of Route-C is also evident when the optical transparency of the films prepared via Route-C is compared with that of the films via Route-T, especially in #26, #34, and #35. This trend is always true as long as undesirable solvents such as NMP for solution casting are not used, as discussed later.
However, Route-C also had a disadvantage; PI films prepared by solution casting from PI solutions via Route-C often showed higher haze than those prepared via Route-T, as illustrated in Figure 26b (haze (Route-C, ordinate) vs. haze (Route-T, abscissa)). This is obvious from the fact that many of these plots are located above the Y = X line. This strong tendency is probably related to the difference in the affinity of the PI–solvent and PAA–solvent systems (if the influence of crystallization on haze is not taken into account). Assuming that haze mainly originates from a sort of “partial precipitation” or “heterogeneous aggregation” during solvent evaporation of coatings, haze is probably closely associated simply with the polymer solubility in the solvents used. If so, such partial precipitation can easily occur in “nearly saturated” PI solutions when the solvent runs out due to evaporation, whereas there is little chance of such partial precipitation during solution casting of PAAs (Route-T) because the originally excellent solvation of PAAs in amide solvents is always retained during solution casting, regardless of the PAA structures, even when the solvent runs out due to evaporation.
3.8. Effects of Xanthene-Pendant Diaminofluorenes
So far, we have demonstrated that, when extended chain forms were schematically depicted, PI systems with higher linearity (lower extents of meandering of main chains) have a strong trend that the corresponding actual PI films show lower CTE values [ref. 26,ref. 32,ref. 39,ref. 41,ref. 47,ref. 65,ref. 68,ref. 73]. The extended chain forms of CBDA/TFMB-based PIs modified using typical modifiers are schematically drawn in Figure 27. The system modified using ester-linked spiro-AB-FLX (#38C), which comprises relatively linear main chains (Figure 27a), indeed exhibited a low CTE (26.0 ppm/K), thus suggesting that the above-mentioned criterion is reasonable. However, its depicted extended form is slightly meandering owing to a slightly distorted configuration at the COO–XAN–OCO unit (Figure 27a). Therefore, as long as this type of modifier is applied, there seems to be a limit to the reduction of CTE. In contrast, the use of its asymmetric counterpart (ester-linked a–spiro-AB-FLX, Scheme 29) enabled us to obtain an extremely low CTE (10.5 ppm/K for #43C). However, the synthesis of this asymmetric modifier was complex; it required a complicated purification process of the intermediate bisphenol (asymmetric FL-DHX) [ref. 38].

To overcome the low-CTE–low-∆nth trade-off without the help of the asymmetric modifiers, we focused on new modifiers, XAN-pendant 2,7-diaminofluorenes (Figure 19), which can maintain a higher main-chain linearity (Figure 27b) that is advantageous for further reducing CTE. The features of the systems modified using a series of XAN-pendant 2,7-diaminofluorenes are described below.
3.8.1. Modifications with Spiro-CnX-DAFL
spiro-CnX-DAFL, which contains long alkyl groups connected to the XAN unit, was applied as a new modifier with the expectation of Z-direction alignment of the long axis of XAN together with the alkyl chains. The polymerization results and film properties of the systems modified using spiro-CnX-DAFL with n-hexyl or 2-ethylhexyl group are summarized in Table 8. spiro-CnX-DAFL showed high polyaddition reactivity with CBDA and resulted in PAAs with sufficiently high ηred values. The observed high reactivity of these modifiers likely indicates that their bulky side groups (alkoxyl-pendant XAN unit) did not participate in steric hindrance during the polyaddition with CBDA, probably owing to the spatial separation of the side groups from the functional groups as a result of the XAN–FL perpendicular arrangement.
Table 8: Polymerization results and film properties of the CBDA-based PIs modified using xanthene-pendant 2,7-diaminofluorenes and related systems. The photographs at the bottom of this table show the appearance of selected PI films (#47C, #48T, and #48C).
| No. | Diamine(mol%) | ηred(dL/g) | Cast | T400(%) | YI | λ0(nm) | Ttot(%) | Haze(%) | Δnth | εopt | Tg(°C) | CTE(ppm/K) | E(GPa) | εb (%)avemax | σb(GPa) | Td5(N2)(°C) | Td5(air)(°C) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0T | TFMB | 1.63 a | — | 84.2 | 4.0 | 302 | 89.8 | 0.87 | 0.0477 | 2.68 | 345 | 22.9 | 6.57 | 5.28.0 | 0.19 | 444 | 432 |
| 44T | TFMB (80)spiro-C6X-DAFL (20) | 0.84 a | — | 67.8 | 12.1 | 335 | 87.8 | 0.99 | 0.0295 | 2.72 | 329 | 40.3 | 3.78 | 1.52.8 | 0.051 | 403 | 385 |
| 45T | TFMB (30)spiro-C6X-DAFL (70) | 0.37 a | — | 15.5 | 63.8 | 344 | 78.7 | 1.95 | 0.0135 | 3.00 | 298 | 93.4 | — d | — d | — d | 416 | 356 |
| 45C | TFMB (30)spiro-C6X-DAFL (70) | 0.37 a0.75 b | NMP15 wt% | 48.7 | 25.1 | 343 | 85.3 | 3.56 | 0.0225 | 2.85 | — d | — d | — d | — d | — d | 417 | 346 |
| 46C | spiro-C6X-DAFL | 0.65 a1.21 b | DMAc15 wt% | 60.6 | 9.5 | 346 | 86.4 | 7.79 | 0.0189 | 3.16 | 280 | 56.8 | — d | — d | — d | — | — |
| 47T | TFMB (50)spiro-C8X-DAFL (50) | 1.60 a | — | 58.6 | 14.8 | 344 | 88.4 | 1.07 | 0.0138 | 2.78 | 344 c | 62.6 | 2.20 | 2.84.2 | 0.050 | 396 | 342 |
| 47C | TFMB (50)spiro-C8X-DAFL (50) | 1.60 a8.16 b | NMP9.1 wt% | 45.8 | 24.4 | 341 | 81.2 | 3.56 | 0.0388 | 2.86 | 389 c | 21.3 | — | — | — | 408 | 347 |
| 48T | TFMB (30)spiro-C8X-DAFL (70) | 1.32 a | — | 67.3 | 11.3 | 345 | 88.9 | 0.43 | 0.0051 | 2.82 | 310 | 99.9 | 1.92 | 3.97.5 | 0.044 | 390 | 338 |
| 48C | TFMB (30)spiro-C8X-DAFL (70) | 1.32 a6.85 b | NMP8.0 wt% | 48.0 | 16.3 | 340 | 84.4 | 23.6 | — | — | 343 | 15.7 | — | — | — | 405 | 338 |
| 49T | spiro-C8X-DAFL | 3.72 a | — | 59.9 | 15.7 | 346 | 87.9 | 2.66 | 0.0066 | 2.87 | 299 | 121.8 | 1.45 | 6.38.9 | 0.044 | 388 | 329 |
a Data for PAAs. b Data for PIs prepared via Route-C. c Tg determined by the TMA method. d Data not available because of the difficulty of the measurements due to film brittleness.
- spiro-C6X-DAFL
The CBDA/TFMB-based copolymer systems modified with 20 and 50 mol% spiro-C6X-DAFL were not compatible with Route-C owing to gelation during chemical imidization. At a spiro-C6X-DAFL content of 20 mol%, the PI film prepared via Route-T (#44T) showed significantly decreased film transparency compared to the pristine system (CBDA/TFMB, #0T). This is probably related to the presence of the less thermally stable n-hexyl group in this modifier, which can participate in the formation of a trace amount of unknown colored product via its partial thermal decomposition during thermal imidization, corresponding to its decreased Td5(N2) (403 °C). The increase in the spiro-C6X-DAFL content to 70 mol% resulted in a greater decrease in film transparency, probably owing to the increased n-hexyl group content.
With increasing spiro-C6X-DAFL content from #0T to #44T and #45T, a significant decrease in Tg was observed with an abrupt increase in the CTE (Figure 20A(c)), possibly reflecting a significant disruption of dense main-chain stacking by its bulky and flexible n-hexyl groups.
The CBDA/TFMB-based copolymer modified with 70 mol% spiro-C6X-DAFL (#45C) became compatible with Route-C. However, the solvent for dissolving the resulting PI powder form at a high solid content for subsequent solution casting was limited to NMP (Table S3). Even though Route-C was applicable, the resultant NMP-cast PI film (#45C) was significantly colorized, as suggested by its high YI value (25.1), which was lower than that of the corresponding thermally imidized film (YI = 63.8 for #45T). The unexpected significant coloration of the former is probably affected by the use of NMP as the casting solvent, which is prone to cause an appreciable coloration of PI films, particularly when the films are heated at elevated temperatures. Thus, ensuring sufficient PI solubility in solvents other than NMP (e.g., DMAc) is undoubtedly one of the keys to achieving this goal. Indeed, the CBDA/spiro-C6X-DAFL homo PI (#46C), which showed significantly improved solubility (Table S3), allowed the solution casting from its DMAc solution, and consequently, this film had dramatically restored transparency (YI = 9.5).
- spiro-C8X-DAFL
To enhance the less noticeable solubility-improving effect of spiro-C6X-DAFL, its analogue, spiro-C8X-DAFL, where the n-hexyl group of the former was replaced with the branched 2-ethylhexyl group, was used to modify the pristine system (CBDA/TFMB). The copolymer with 50 mol% spiro-C8X-DAFL (#47T) resulted in a somewhat colored PI film (YI = 14.8) with a significantly decreased Td5(N2) (396 °C), which is ascribed to the less thermally stable 2-ethylhexyl group, as discussed for the spiro-C6X-DAFL-modified systems. The same chemical composition of the NMP-cast PI film (#47C) unexpectedly caused a further deterioration in transparency (YI = 24.4), as is evident from the appearance of this film at the bottom of Table 8. This is probably due to the use of easy-to-color NMP as the solvent for solution casting.
The spiro-C8X-DAFL-modified PI film (#48T) showed significantly restored transparency (YI = 11.3 and haze = 0.43%), as shown in the photograph at the bottom of Table 8, compared with the corresponding spiro-C6X-DAFL-modified PI film (#45T) with a very high YI (63.8).
The applicable solvents for solution casting in the spiro-C8X-DAFL-modified system (#48C) were still limited to NMP, as in the spiro-C6X-DAFL-modified counterpart (#45C). Thus, the replacement of the n-hexyl group with the branched 2-ethylhexyl group was less effective in significantly improving the solubility of the resulting PIs. The film of the former (#48C) was also significantly turbid (haze = 23.6%, see its photograph at the bottom of Table 8) in contrast to the very low haze (0.43%) of its counterpart with the same chemical composition (#48T). This probably results from “partial precipitation” during solution casting from its “nearly saturated” PI solution. This highly turbid film (#48C) made it difficult to accurately measure its ∆nth. Surprisingly, this PI film (#48C) resulted in a dramatically reduced CTE (15.7 ppm/K, Table 8), probably owing to significant self-in-plane orientation generated during solution casting. A similar prominent CTE-reducing effect of Route-C (Figure 26a) was also observed in #47C (CTE = 21.3 ppm/K, Table 8).
As in the spiro-C6X-DAFL-modified system, an increase in the spiro-C8X-DAFL content from #0T to #47T, #48T, and #49T gave rise to a monotonous reduction in Tg with an abrupt increase in the CTE (Figure 20A(d)).
- CTE–Δnth correlation for the systems modified using spiro-CnX-DAFL
Figure 28 exhibits the CTE–Δnth correlation diagram for the systems modified using spiro-CnX-DAFL listed in Table 8. Many of these plots (□) were located above the lower limit curve, thus suggesting that these modifiers were ineffective for the present purpose, although a certain positive effect was observed in the CBDA/TFMB(50);spiro-C8X-DAFL(50) system (#47C). Unfortunately, this system also had poor solubility-improving effects and a crucial film coloration problem triggered by the use of easy-to-color NMP.

3.8.2. Modification with Spiro-TFBzX-DAFL
The above results of the spiro-CnX-DAFL-modified systems suggested the importance of the thermal stability of the XAN-pendant diaminofluorene modifiers and their solubility-enhancing effect to ensure the excellent transparency of the resulting PI films. Therefore, we used spiro-TFBzX-DAFL as a new modifier, wherein the thermally unstable alkoxy group in spiro-CnX-DAFL was replaced with a thermally stable benzoyl group containing a typical solubility-improving CF3 substituent.
The polymerization results and film properties of the systems using this modifier are summarized in Table 9. spiro-TFBzX-DAFL showed sufficiently high polyaddition reactivity with CBDA and led to PAAs with sufficiently high ηred values, probably reflecting that its bulky side groups connected to the XAN unit did not sterically hinder the NH2 functional groups, related to the mutual perpendicular configuration between the XAN and FL molecular planes.
Table 9: Polymerization results and film properties of the CBDA- and CpODA-based PIs modified using spiro-TFBzX-DAFL or its CF3-free counterpart (spiro-BzX-DAFL) and related systems. The photographs at the bottom of this table show the appearance of some selected PI films (#51C, #53C, #56R, and #62R) and a precipitated solution after one-pot polymerization (#59R).
| No. | TCDA(mol%) | Diamine(mol%) | ηred(dL/g) | Cast c | T400(%) | YI | λ0(nm) | Ttot(%) | Haze(%) | Δnth | εopt | Tg(°C) | CTE(ppm/K) | E(GPa) | εb (%)avemax | σb(GPa) | Td5(N2)(°C) | Td5(air)(°C) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0T | CBDA | TFMB | 1.63 a | — | 84.2 | 4.0 | 302 | 89.8 | 0.87 | 0.0477 | 2.68 | 345 | 22.9 | 6.57 | 5.28.0 | 0.19 | 444 | 432 |
| 50C | CBDA | TFMB (50)spiro-TFBzX-DAFL (50) | 1.37 a7.80 b | DMAc7 wt% | 73.0 | 5.8 | 336 | 88.0 | 3.84 | 0.0414 | 2.79 | 394 | 15.6 | 6.75 | 3.15.8 | 0.17 | 426 | 416 |
| 51C | CBDA | TFMB (30)spiro-TFBzX-DAFL (70) | 1.11 a3.08 b | DMAc12 wt% | 72.0 | 5.9 | 342 | 88.1 | 1.87 | 0.0247 | 2.82 | 390 | 28.5 | 3.50 | 3.95.4 | 0.10 | 431 | 422 |
| 52C | CBDA | spiro-TFBzX-DAFL | 0.75 a2.27 b | DMAc15 wt% | 72.2 | 5.5 | 341 | 89.6 | 0.95 | 0.0133 | 2.85 | 378 | 38.3 | 2.75 | 3.84.7 | 0.073 | 429 | 421 |
| 53C e | CBDA (80)CpODA (20) | TFMB (30)spiro-TFBzX-DAFL (70) | 0.41 a0.69 b | DMAc | 50.1 | 22.0 | 342 | 85.1 | 0.59 | 0.0177 | 2.83 | 388 | 32.5 | 1.91 | 3.96.2 | 0.049 | 410 | 391 |
| 54C e | CBDA (70)CpODA (30) | spiro-TFBzX-DAFL | 0.27 a0.33 b | DMAc | 53.1 | 19.1 | 346 | 84.2 | 0.34 | 0.0080 | 2.85 | 378 | 48.1 | — d | — d | — d | 406 | 391 |
| 55T | CpODA | TFMB | 0.83 a | — | Data not available because of film cracking | |||||||||||||
| 55C | CpODA | TFMB | 0.71 a0.99 b | DMAc | 87.0 | 1.7 | 290 | 90.4 | 0.71 | 0.0473 | 2.66 | 336 | 23.7 | — d | — d | — d | 473 | 421 |
| 55R | CpODA | TFMB | 3.19 | DMAc15 wt% | 85.6 | 1.8 | 292 | 90.1 | 2.73 | 0.0513 | 2.66 | 404 | 19.1 | 2.84 | 12.523.5 | 0.11 | 476 | 419 |
| 56R | CpODA | TFMB (70)spiro-TFBzX-DAFL (30) | 1.27 | DMAc | 84.3 | 2.1 | 339 | 89.4 | 0.50 | 0.0272 | 2.69 | 399 | 23.6 | 2.86 | 4.07.1 | 0.080 | 465 | 431 |
| 57R | CpODA | TFMB (50)spiro-TFBzX-DAFL (50) | 1.48 | DMAc | 82.1 | 3.4 | 333 | 88.4 | 1.59 | 0.0221 | 2.77 | 396 | 29.5 | 2.44 | 6.310.7 | 0.098 | 450 | 437 |
| 58R | CpODA | TFMB (30)spiro-TFBzX-DAFL (70) | 0.96 | DMAc | 78.8 | 4.6 | 340 | 87.4 | 3.51 | 0.0171 | 2.81 | 393 | 32.7 | 2.53 | 3.96.5 | 0.079 | 453 | 428 |
| 59R | CpODA | spiro-TFBzX-DAFL | Data not available because of precipitation during one-pot polymerization | |||||||||||||||
| 60R | CBDA (20)CpODA (80) | TFMB (50)spiro-TFBzX-DAFL (50) | 1.10 | DMAc | 81.2 | 2.7 | 346 | 88.5 | 1.07 | 0.0260 | 2.75 | 404 | 26.2 | 3.06 | 4.35.9 | 0.10 | 448 | 432 |
| 61R | CBDA (20)CpODA (80) | TFMB (30)spiro-TFBzX-DAFL (70) | 0.84 | DMAc | 69.2 | 8.5 | 349 | 86.7 | 2.49 | 0.0169 | 2.80 | 401 | 34.0 | 2.45 | 2.04.1 | 0.049 | 446 | 417 |
| 62R | CpODA | TFMB (70)spiro-BzX-DAFL (30) | 4.10 | DMAc9 wt% | 81.6 | 3.2 | 323 | 89.4 | 2.65 | 0.0150 | 3.04 | 405 | 22.9 | 2.30 | 7.212.9 | 0.11 | 477 | 414 |
| 63R | CpODA | TFMB (50)spiro-BzX-DAFL (50) | 1.56 | NMP12 wt% | 52.4 | 15.7 | 331 | 86.4 | 24.2 | 0.0093 | 3.04 | 401 | 31.2 | 1.94 | 6.77.6 | 0.088 | 470 | 417 |
a Data for PAAs. b Data for PIs prepared via Route-C. c Homogeneous PI solutions (at room temperature) with high solid contents (9–15 wt%) were used for the subsequent solution casting process, unless otherwise specified. The solutions were prepared upon soft-heating as appropriate. d Data not available because of the difficulty of the measurements due to film brittleness. e PI films prepared upon annealing at a much higher temperature (350 °C) than the standard annealing temperature (250 °C) to improve film ductility.
Indeed, a pronounced solubility-improving effect was observed in the CBDA/TFMB-based system modified with 50 mol% spiro-TFBzX-DAFL (#50C), as shown in Table S3, in contrast to its counterpart using spiro-C8X-DAFL (#47C). This undoubtedly results from effectively disturbed close main-chain stacking due to the perpendicularly arranged, bulky CF3-substituted benzoyl side groups. Copolymerization using spiro-TFBzX-DAFL also caused no significant deterioration in the film transparency. The thorough decolorization of this modifier (Figure 7) also undoubtedly contributed to this result. However, tensile testing revealed that the PI film (#50C) did not show a high εb value. Nonetheless, this film was not broken during the folding test at zero curvature radius, suggesting that it maintained the minimum-required ductility. This film (#50C) also achieved a very low CTE (15.6 ppm/K).
With an increase in the spiro-TFBzX-DAFL content from #50C to #51C and #52C, a gradual increase in the CTE was observed with a much smaller slope (Figure 20A(e)) than that of the above-mentioned spiro-CnX-DAFL-modified systems (Figure 20A(d)). A similar gradual increase in CTE with a further suppressed slope was also observed in another related series (from #55R to #56R, #57R, and #58R), as shown in Figure 20A(f). The magnitude of the slopes in the CTE–modifier content plots represents how easily in-plane orientation is disturbed by the modifiers. In this regard, spiro-TFBzX-DAFL was the most advantageous among all modifiers used in this study. If certain much bulkier side groups than the present CF3-substituted benzoyl group were introduced into the XAN-pendant diaminofluorenes, a crucial increase in the slope would occur.
Even though another related copolymer film (#51C) did not have a high εb value, it passed the folding test, whereas the film of #52C did not. The former (#51C) was also almost colorless (see its photograph at the bottom of Table 9) while maintaining a relatively low CTE (28.5 ppm/K) and a quite low water uptake (WA = 0.39%) based on the less polarized CF3 groups present in this PI structure.
The effect of partial use of another cycloaliphatic TCDA, CpODA (Table 1 and Figure 13), was also explored with the expectation of obtaining a low CTE while avoiding a significant increase in ∆nth. This attempt is based on the notion that, compared to CBDA, a larger spacer between the functional groups in CpODA relatively lowers the polarized imide group content and can suppress main-chain electronic polarization.
However, a problem emerged; the modified version of #51C using 20 mol% CpODA (#53C) led to a PAA with a significantly decreased ηred (0.41 dL/g). Even though this film (#53C) was prepared via Route-C, it was appreciably colored (YI = 22.0), as evident from its photograph at the bottom of Table 9. This is because this film had to be annealed at a much higher final temperature (350 °C, see the footnote of Table 9) than the standard condition to avoid its brittleness. A further increase in the CpODA content to 30 mol% (#54C) resulted in a further crucial decrease in the ηred (0.27 dL/g) of the PAA, which led to a significantly colored PI film that was too brittle for subsequent tensile testing. Thus, the attempt of partial use of CpODA in the presence of CBDA was unsuccessful as long as Route-C was applied.
However, recently, we proved the significant effectiveness of the modified one-pot polymerization method (Route-R, Section 3.2 and Table 2) in producing CpODA/TFMB-based PI with an extremely high molecular weight and a resulting colorless and low-CTE cast film with sufficient toughness [ref. 48]. This suggests that CpODA/TFMB (Scheme 30) prepared via Route-R can be an additional pristine system, although film formation through Route-T (#55T) was hindered because of film cracking due to depolymerization emerging in an intermediate temperature range (~200 °C) during thermal imidization [ref. 48,ref. 81,ref. 82]. Therefore, to solve this issue (insufficient molecular weights), the modified one-pot polymerization method (Route-R) was applied to CpODA/TFMB-based systems using modifiers. Indeed, Route-R led to sufficiently high molecular weights (ηred >> 1.0 dL/g) of CpODA/TFMB-based PIs (#55R–#58R) and consequently, dramatically improved film toughness.

Specifically, the copolymer modified with 30 mol% spiro-TFBzX-DAFL (#56R) afforded a colorless PI film (YI = 2.1, see its photograph at the bottom of Table 9) with a low CTE and a relatively suppressed Δnth. This film (#56R), as well as #57R with 50 mol% spiro-TFBzX-DAFL, passed the folding test. However, increasing the spiro-TFBzX-DAFL content to 70 mol% (#58R) made the film quite brittle without resistance to the folding test. At a spiro-TFBzX-DAFL content of 100 mol% (#59R), that is, in the homo system (CpODA/spiro-TFBzX-DAF), significantly deteriorated solubility was evident, as suggested by the precipitation yielded during the modified one-pot polymerization (see the appearance of the reaction mixture just after the reaction at the bottom of Table 9). This prevented the formation of homogeneous films.
To further reduce the relatively low CTE (29.5 ppm/K) of #57R, 20 mol% CBDA was copolymerized. The resulting system (#60R) still retained Route-R applicability and afforded a PI film with a slightly decreased CTE (26.2 ppm/K) with resistance to the folding test. However, a similar attempt to improve #58R using 20 mol% CBDA (#61R) was ineffective with an almost unchanged CTE and significant film brittleness (no resistance to the folding test).
3.8.3. Modification Using Spiro-BzX-DAFL Without CF3 Group
As described above, the CF3 group in spiro-TFBzX-DAFL was indeed effective in improving the solubility of the resulting PIs. On the other hand, this less polarized substituent could contribute to a reduction in the overall side-group polarization, which can be disadvantageous in terms of reducing ∆nth. Therefore, the effect of the corresponding CF3-free modifier, spiro-BzX-DAFL, was investigated (Table 9). As the counterpart of the above-mentioned system (#56R) with low CTE, high transparency, and low Δnth, the corresponding copolymer with 30 mol% CF3-free spiro-BzX-DAFL (#62R) achieved a lower Δnth (0.0150) than #56R while maintaining a low CTE (22.9 ppm/K) close to that of #56R in addition to high transparency with a suppressed YI of 3.2, as evident from its photograph (double-layerd loop-shaped film) at the bottom of Table 9.
On the other hand, further increasing the spiro-BzX-DAFL content to 50 mol% (#63R) obviously deteriorated the film transparency as a result of solution casting from the easy-to-color NMP solution, which was unavoidable due to its decreased solubility, in contrast to its counterpart (DMAc-cast film of the CF3-substituted spiro-TFBzX-DAFL-containing system, #57R). This film (#63R) was also highly hazy, probably owing to the same reason (its limited solubility), although it had a lower Δnth than #57R and a low CTE close to that of #57R.
With increasing spiro-BzX-DAFL content from #55R to #62R and #63R, the CTE gradually increased with a small slope (Figure 20A(g)), which was similar to that in the corresponding spiro-TFBzX-DAFL-modified systems (Figure 20A(f)). Thus, this modifier (spiro-BzX-DAFL), as well as spiro-TFBzX-DAFL, was also effective in modifying the pristine systems while suppressing the CTE increase.
3.8.4. CTE–Δnth Correlation for PIs Modified with Spiro-TFBzX-DAFL and Spiro-BzX-DAFL
Figure 29 shows the CTE–Δnth correlation diagram for the systems listed in Table 9. The plot (♦) of the CpODA/TFMB homo system (#55R) was located slightly below the lower limit curve, suggesting that it was optimal as the pristine system, along with CBDA/TFMB. On the other hand, it is noteworthy that most of the spiro-TFBzX-DAFL-modified systems provided plots (◊) positioned significantly below the lower limit curve, with a small data scattering on a red-fitted curve, which was shifted almost parallel to the original lower limit curve (blue dashed fitted curve), as mentioned in Section 3.3. Thus, spiro-TFBzX-DAFL was very effective in overcoming the trade-off between low CTE and low Δnth.

The modification using CF3-free spiro-BzX-DAFL (particularly, #62R (×)) achieved a further enhanced effect for overcoming the trade-off compared to its counterpart using the CF3-subsituted modifier (#56R).
3.8.5. Actual Z-Direction Alignment of the Side Group in Spiro-TFBzX-DAFL Unit Incorporated into the PI Main Chains
The above-revealed pronounced modifier effect can be interpreted to be the result of the Z-direction alignment of the long axis of the side groups in the modifier units incorporated into the main chains. To verify this assumption, the polarized FT-IR spectra of a spiro-TFBzX-DAFL-modified PI film were measured at varying incidence angles (θ) with a focus on the ester C=O stretching vibration band at 1743 cm−1 of spiro-TFBzX-DAFL (Figure 30a). Figure 30b shows, as a typical example, the transmission-mode non-polarized FT-IR spectrum for a thin film of the CBDA/TFMB(50);spiro-TFBzX-DAFL(50) system (#50C). The ester C=O band at 1740 cm−1 appears as a shoulder of the parent peak at 1720 cm−1 (imide C=O), as shown in the inset of Figure 30b.

Figure 31a exhibits a schematic diagram of the in-plane-oriented PI main chains and concomitantly induced ideal Z-direction alignment of the side group in the spiro-TFBzX-DAFL unit incorporated into the PI main chains. The latter becomes more effective through the combination of the main-chain in-plane orientation and “face-on” orientation of the FL molecular planes in the modifier unit. If such side-group alignment preferentially occurred in the actual PI films, the ester C=O band at 1740 cm−1 is presumed to become more active to the P-polarized IR beam than the S-polarized beam at higher θ. This holds under the assumption that the ester C=O band at 1740 cm−1 has an absorption transition moment along the long axis of the side group (yellow arrow in Figure 31a). This assumption does not conflict with a previously reported result that the ester C=O stretching vibration band at around 1740 cm−1 of an uniaxially stretched aromatic polyester film exhibits parallel dichroism with an absorption transition moment along the main-chain direction [ref. 83]. The ester C=O band at 1755 cm−1 of a uniaxially oriented poly-DL-lactic acid fiber also has parallel dichroism [ref. 84]. The polarized FT-IR spectra of rotatable film specimens around the Z-axis were measured at different incidence angles (θ) using an infrared polarizer (KRS-5), as shown in Figure 31b.

Figure 31c exhibits the θ dependence of the difference spectra between the P-polarized and S-polarized IR absorption spectra, normalized at 1726 cm−1 (imide C=O band (imide-II)). The observed gradual growth of the normalized difference spectra with increasing θ (relative intensification of the P-polarized IR spectrum) suggests that a major fraction of the side groups in the spiro-TFBzX-DAFL unit incorporated into the PI main chains indeed align in the Z-direction. A similar trend in the normalized difference spectra was also observed in the CpODA/TFMB-based counterpart modified using CF3-free spiro-BzX-DAFL.
A more quantitative analysis (e.g., using the attenuated total reflection FT-IR method), which can determine the side-group orientation function, will be desired for future practical applications of the materials developed in this study. This is our upcoming subject.
3.9. Effect of Spiro-2367XADA
spiro-2367XADA is very likely more advantageous for reducing CTE than spiro-TFBzX-DAFL because of its completely linear mutual configuration between the two functional groups, which leads to a rod-like main-chain structure suitable for obtaining ultra-low-CTE PIs, when combined with rod-like diamines such as TFMB (Figure 27c). In addition, the combination of significant main-chain in-plane orientation and the face-on orientation of the huge and planar xanathenediimide units incorporated into the main chains ensures the vertical alignment of the long axis of the side group (FL unit in spiro-2367XADA). Consequently, it is expected to exhibit a significant effect in reducing both ∆nth and CTE.
Table 10 summarizes the polymerization results and film properties of the spiro-2367XADA-modified systems. As #66T exhibited a relatively high ηred close to 1.0 dL/g, the polyaddition reactivity of spiro-2367XADA with diamines appears to have no crucial problems, although its ηred value is not as high as that of CBDA nor as low as that of H-PMDA (ηred = 0.25 dL/g for PAA in the H-PMDA/TFMB system [ref. 39]). However, the partial use of spiro-2367XADA (e.g., 30 mol% in #64T) did not significantly improve the originally insufficient polyaddition reactivity (low ηred) of CpODA/TFMB. Consequently, the resulting PI film was cracked with appreciable coloration, as shown by its photograph at the bottom of Table 10. Applying the modified one-pot polymerization method to this system, the molecular weight and film-forming ability of the resultant PI (#64R) were dramatically enhanced. This modified copolymer was also highly soluble (Table S3). The DMAc-cast PI film (#64R) combined a high Tg, high transparency, quite low CTE (20.6 ppm/K), and sufficient toughness (εb max = 16.0%). Optimization of the film preparation conditions afforded a PI film (#64R′) with a further reduced CTE (15.9 ppm/K) and somewhat improved transparency. Its appearance is shown at the bottom of Table 10. Furthermore, this PI film (#64R′) also passed the folding test.
Table 10: Polymerization results and film properties of the CpODA/TFMB-based PIs modified using spiro-2367XADA. The photographs at the bottom of this table show the appearance of some selected PI films (#64T, #64R′, #65R, and #68R).
| No. | TCDA(mol%) | Diamine(mol%) | ηred(dL/g) | Cast d | T400(%) | YI | λ0(nm) | Ttot(%) | Haze(%) | Δnth | εopt | Tg(°C) | CTE(ppm/K) | E(GPa) | εb (%)avemax | σb(GPa) | Td5(N2)(°C) | Td5(air)(°C) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 55R | CpODA | TFMB | 3.19 | DMAc15 wt% | 85.6 | 1.8 | 292 | 90.1 | 2.73 | 0.0513 | 2.66 | 404 | 19.1 | 2.84 | 12.523.5 | 0.11 | 476 | 419 |
| 64T | CpODA (70)spiro-2367XADA (30) | TFMB | 0.39 | — | Data not available because of film cracking | |||||||||||||
| 64R | CpODA (70)spiro-2367XADA (30) | TFMB | 3.82 | DMAc12 wt% | 72.6 | 7.1 | 360 | 87.9 | 0.58 | 0.0189 | 3.03 | 440 e | 20.6 | 2.45 | 9.516.0 | 0.10 | 474 | 421 |
| 64R′ | CpODA (70)spiro-2367XADA (30) | TFMB | 3.82 | DMAc9 wt% | 74.9 | 6.0 | 360 | 88.4 | 1.01 | 0.0211 | 3.03 | 431 | 15.9 | 2.85 | 6.510.2 | 0.09 | 482 | 428 |
| 65R | CpODA (50)spiro-2367XADA (50) | TFMB | 2.19 | DMAc14 wt% | 75.1 | 5.0 | 360 | 88.2 | 0.60 | 0.0162 | 3.08 | 406 | 22.2 | 3.48 | 7.013.5 | 0.14 | 487 | 460 |
| 66T | spiro-2367XADA | TFMB | 0.96 a | — | Data not available because of obtaining free-standing film owing to film brittleness | |||||||||||||
| 66R | spiro-2367XADA | TFMB | — c | m-cresol5 wt% | 36.6 | 14.6 | 340 | 86.2 | 49.9 | 0.0133 | 3.22 | 306 e | 16.4 | — f | — f | — f | — | 485 |
| 67R | CpODA (50)spiro-2367XADA (50) | TFMB (50)spiro-TFBzX-DAFL (50) | 0.38 | DMAc30 wt% | Data not available because of obtaining free-standing film owing to film brittleness | |||||||||||||
| 68R | CpODA (50)cardo-BPFLDA (50) | TFMB | 2.58 | DMAc | 85.8 | 1.6 | 336 | 89.6 | 0.68 | 0.0275 | 2.77 | 413 | 33.2 | 2.70 | 6.510.7 | 0.12 | 498 | 460 |
| 69C | cardo-BPFLDA | TFMB | 5.66 a4.36 b | DMAc | 83.3 | 2.0 | 344 | 88.7 | 1.00 | 0.0210 | 2.92 | 389 | 42.9 | 2.17 | 7.311.7 | 0.11 | — | — |
a Data for PAAs. b Data for PIs prepared via Route-C. c Data not available because the isolated PI powder was insoluble in NMP. d Homogeneous PI solutions (at room temperature) used for the solution casting process. The solutions were prepared upon warming as appropriate. e Tg determined by the TMA method. f Data not available because of the difficulty of the measurements due to film brittleness.
The copolymer with an increased spiro-2367XADA content to 50 mol% (#65R) also maintained a low CTE and high transparency, as shown by its photograph (double-layerd loop-shaped film) at the bottom of Table 10. Such high transparency could not have been achieved without thorough decolorization (Figure 9).
Despite a sufficiently high ηred for film formation, the spiro-2367XADA/TFMB homo PI film (#66T) prepared via Route-T was so brittle with cracks that its property evaluation was inhibited, probably owing to the afore-mentioned significant depolymerization in the intermediate temperature range. The application of Route-R in NMP to this homo system resulted in an unstable PI solution prone to gelation. The isolated PI powder was only soluble in hot m-cresol. Although its m-cresol-cast film (#66R) exhibited a quite low CTE (16.4 ppm/K), it was hazy, probably owing to the afore-mentioned partial precipitation during solution casting (solvent evaporation).
As described in Section 3.8.4, the CpODA/TFMB;spiro-TFBzX-DAFL copolymer was very effective in simultaneously achieving the low CTE and low Δnth. Therefore, we attempted to further improve its CTE–Δnth relationship using spiro-2367XADA. However, the molecular weight of the resulting copolymer (#67R) did not increase (ηred = 0.38 dL/g), and consequently, it lacked film-forming ability. Thus, this attempt was unsuccessful.
The spiro-2367XADA-modified system was compared with its counterpart modified using 9,9-bis(3,4-dicarboxyphenyl)fluorene dianhydride (cardo-BPFLDA) without the ether-bridge. Specifically, the system (#68R) where spiro-2367XADA in #65R was replaced with cardo-BPFLDA exhibited a somewhat improved transparency with an obviously increased CTE (33.2 ppm/K). The latter property is probably due to a distorted chain structure at the hinge of cardo-BPFLDA, which contributed to disturbing the in-plane orientation during solution casting. Therefore, a further increase in the cardo-BPFLDA content, that is, the cardo-BPFLDA/TFMB homo system (#69C), gave rise to a further increased CTE (42.9 ppm/K). Overall, these comparative results proved the major role of the ether-bridge of spiro-2367XADA in lowering CTE. This homo PI film (#69C) also had obviously higher transparency than the corresponding homo PI film (ester-linked cardo-TA-BPFL/TFMB, #11C), likely owing to the difference in the electron-accepting ability of the phthalimide unit (originating from cardo-BPFLDA) and the trimellitimide unit (from cardo-TA-BPFL).
Figure 32 shows the CTE–Δnth correlation diagram for the spiro-2367XADA-modified systems listed in Table 10. The spiro-2367XADA/TFMB homo PI (#66R, ▲) achieved the CTE–Δnth target. However, this film did not meet the goal in terms of transparency because of a strong haze. On the other hand, the plots of the CpODA;spiro-2367XADA/TFMB copolymers (∆, red dashed fitted curve) were located near the target area. Therefore, spiro-2367XADA was most effective among the modifiers examined in this study in overcoming the low-CTE–low-Δnth trade-off. In particular, the #64R′ system combined a low CTE, low Δnth, high transparency, high Tg, and minimum-required film ductility. Conversely, the comparative cardo-BPFLDA-containing systems (#68R, #69C, ×) were less effective, as suggested from the plots positioned near the lower limit curve.

3.10. Performance Balance of Selected Systems
Materials with a poor balance of the target properties are not applicable to new plastic substrates, an alternative to glass substrates, even if the trade-off between low CTE and low Δnth was overcome. This study emphasizes the importance of performance balance, which can be visualized using spider diagrams. The performance balance of the materials developed in this study was evaluated using five-grade evaluations, as described in our previous studies [ref. 37,ref. 39,ref. 47,ref. 48,ref. 65]. In the present paper, the detailed establishment process will be omitted. The criteria used in this study (Table 11) were established by adding a new target item, the low-Δnth property (abbreviated as LB), to our previous criteria. The five-grade ranking of this target item was established based on the regions in Figure 18; in this figure, most of the colorless low-CTE PIs (< 20 ppm/K) had high Δnth values exceeding ~0.07. Therefore, colorless PIs with Δnth ≥ 0.07 were assigned to the worst grade of the low-Δnth property (rank-1). Conversely, most of the colorless high-CTE PIs (> 60 ppm/K) exhibited Δnth values lower than ~0.01, as illustrated by Δnth = 0.0066 for the wholly cycloaliphatic CBDA/MBCHA system [ref. 67]. Accordingly, PIs with Δnth ≤ 0.007 were assigned as the best grade of the low-Δnth property (rank-5). The intermediate ranks (2–4) were established by evenly dividing the intermediate range of Δnth (0.007–0.07) into each intermediate rank. The evaluation criteria for other target items were established in a similar manner (the details were omitted here).
Table 11: The criteria established for a five-grade ranking of the achievement level for each target property.
| Property | Parameter | Ranking | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| Physical heat resistance (HR) | Tg (°C) | ≤200 | 220–240 | 250–270 | 280–300 | ≥360 or unclear Tg on DMA |
| Low CTE (LCTE) | CTE (ppm/K) | ≥70 | 60–50 | 45–35 | 30–20 | ≤10 |
| Low birefringence (LB) | Δnth | ≥0.07 | 0.06–0.05 | 0.04–0.03 | 0.02–0.01 | ≤0.007 |
| Light transmittance (Tr) | T400 (%) | ≤5 | 20–30 | 40–60 | 70–80 | ≥85 |
| Low yellowness(LY) | YI | ≥20 | 10–7 | 6–4 | 3–2 | ≤1 |
| Low haze(LH) | Haze (%) | ≥10 | 4–3 | 3–2 | 2–1 | ≤1 |
| Toughness (To) | εb max (%) | ≤2 or no film-forming ability | 5–10 | 20–30 | 40–60 | ≥80 |
| Solution-processability (SP) | Qualitativesolubility | Insoluble | Soluble in amide solvents (≤1 wt%) | Soluble in amide solvents (3–5 wt%) | Soluble in amide solvents (>~10 wt%) | Soluble in non-amide solvents(>~10 wt%) |
The spider diagrams for typical modified systems, along with those of the pristine systems (CBDA/TFMB and CpODA/TFMB) for comparison, are shown in Figure 33, where the focused targets in this study, low-CTE (LCTE) and low-Δnth (LB) properties, are highlighted in blue. A collapsed performance balance of CBDA/TFMB (#0T, Figure 33a) was evident from the greatly dented film toughness item (To) and solution-processability item (SP). The CpODA/TFMB homo PI system (#55R) showed somewhat expanded SP, but LB remained significantly dented (Figure 33b). On the other hand, the spiro-BzX-DAFL-modified system (#62R) simultaneously exhibited significantly expanded LCTE and LB, but with dented To (Figure 33c). Further expanded LCTE and LB were observed in the spiro-2367XADA-modified system (#64R′) while it satisfactorily achieved other targets, although there was still room for improvement of To, as shown in Figure 33d.

Thus, this study successfully developed unique PI films applicable to plastic substrates using well-designed spiro-type modifier monomers that simultaneously achieve a low CTE and low Δnth in addition to a very high Tg, sufficiently high thermal stability, excellent optical transparency, good solubility, and minimum-required ductility without the use of fillers.
In this study, we focused on only the “initial” properties of the developed materials. However, there is another important property for practical applications to various image display devices, namely, durability against light from backlights or light-emitting elements. The durability of our materials is currently under investigation.
4. Conclusions
This study developed unique materials applicable to plastic substrates for use in flexible-display devices that overcome the low-CTE–low-Δnth trade-off relationship, in addition to achieving a very high Tg, sufficiently high thermal stability, excellent optical transparency, good solubility, and minimum-required ductility.
The CBDA/TFMB PI films prepared under different conditions provided a clear lower boundary (lower limit curve) in the CTE–Δnth relationship. This study endeavored to overcome the trade-off between low CTE and low Δnth, that is, to significantly exceed the lower limit curve toward our target region of CTE ≤ 20 ppm/K and Δnth ≤ 0.02, while simultaneously achieving other important properties. One of the keys to achieving the present goal was compatibility with Route-C or Route-R (high solubility of the PIs) because these manufacturing routes are more advantageous for reducing CTE and enhancing film transparency than conventional Route-T.
As our initial attempt, the pristine CBDA/TFMB system was modified by copolymerization with a thermotropic liquid-crystalline diamine, 35DAB-BPC12. However, this modification caused a significant increase in the CTE. Thus, this modifier was less effective in exceeding the lower limit curve, except for a slight positive effect observed in #4C.
The modification effects of a variety of cardo-type monomers were investigated. This type of modifiers significantly improved the solubility, which consequently enhanced the applicability of Route-C. Nonetheless, most of the modified systems were ineffective in exceeding the lower limit curve. Only #13 exhibited a slight positive effect.
Ether-linked spiro-type monomers were used to modify CBDA/TFMB to significantly improve the film toughness of the resulting copolymers. However, this attempt was effective neither at improving the film toughness nor overcoming the trade-off. A slight positive effect on the latter was observed only in #28T. On the other hand, when using ester-linked spiro-type diamines, a certain positive effect in exceeding the lower limit curve was observed in #38C.
The modification of CBDA/TFMB using spiro-CnX-DAFL was less effective at improving solubility. The resulting copolymers showed appreciably deteriorated film transparency, probably owing to the presence of the less thermally stable alkyl groups in these modifiers. The system that had a slight positive effect on overcoming the trade-off was limited to #47C.
When CBDA/TFMB and/or CpODA/TFMB were modified using spiro-TFBz-DAFL, which contains thermally stable CF3-substituted benzoyl side groups, a prominent effect on overcoming the trade-off was observed (particularly in #56R). The use of its CF3-free counterpart (spiro-Bz-DAFL) was more effective (particularly in #62R). Polarized FT-IR difference spectra measured at different incidence angles for these copolymer films suggested that these side groups align in the Z-direction, corresponding to the observed prominent effect.
When using FL-pendant XAN-type TCDA, spiro-2367XADA, the highest effect on overcoming the trade-off among the modifiers examined in this study was observed (particularly in #64R′). This PI film also combined other excellent target properties.
Overall, this study successfully developed unique materials applicable to plastic substrates using well-designed spiro-type modifiers, which overcame the trade-off between low CTE and low Δnth without the help of any fillers, while also achieving other target properties, including a very high Tg, sufficiently high thermal stability, excellent optical transparency, and good solubility, although there was still room for improvement regarding film toughness.
References
- P.L. Bocko. The challenges of higher-generation glass. Inform. Dis., 2003
- W.A. MacDonald, M.K. Looney, D. MacKerron, R. Eveson, R. Adam, K. Hashimoto, K. Rakos. Latest advances in substrates for flexible electronics. J. Soc. Inform. Dis., 2007. [DOI]
- Z. Zhao, K. Liu, Y. Liu, Y. Guo, Y. Liu. Intrinsically flexible displays: Key materials and devices. Natl. Sci. Rev., 2022. [DOI | PubMed]
- J. Liu, H. Ni, Z. Wang, S. Yang, W. Zhou. Chapter 3: Colorless and Transparent high-Temperature-Resistant Polymer Optical Films—Current Status and Potential Applications in Optoelectronic Fabrications. Optoelectronics—Materials and Devices, 2015
- W. Chen, H. Ding, J. Yu, Y. Zhang, X. Sun, B. Chen, Y. Jin, R. Fu, Z. Zhou. Chapter 3: Design, Fabrication, and Application of colorless polyimide film for transparent and flexible electronics. Polyimide for Electronic and Electrical Engineering Applications, 2021
- SUMIKAEXCELTM PES Data Sheet
- KAPTON® H Data Sheet
- UPILEX®-S Data Sheet
- T. Matsuura, Y. Hasuda, S. Nishi, N. Yamada. Polyimide derived from 2,2′-bis(trifluoromethyl)-4,4′-diaminobiphenyl. 1. Synthesis and characterization of polyimides prepared with 2,2′-bis(3,4-dicarboxyphenyl)hexafluoropropane dianhydride or pyromellitic dianhydride. Macromolecules, 1991. [DOI]
- M. Hasegawa, K. Horie. Photophysics, photochemistry, and optical properties of polyimides. Prog. Polym. Sci., 2001. [DOI]
- R.A. Dine-Hart, W.W. Wright. Properties of aromatic imides. Makromol. Chem., 1971. [DOI]
- S. Ando, T. Matsuura, S. Sasaki. Coloration of aromatic polyimides and electronic properties of their source materials. Polym. J., 1997. [DOI]
- W. Volksen, H.J. Cha, M.I. Sanchez, D.Y. Yoon. Polyimides derived from nonaromatic monomers: Synthesis, characterization and potential applications. React. Funct. Polym., 1996. [DOI]
- H. Seino, T. Sasaki, A. Mochizuki, M. Ueda. Synthesis of fully aliphatic polyimides. High Perform. Polym., 1999. [DOI]
- A.S. Mathews, I. Kim, C.S. Ha. Synthesis, characterization, and properties of fully aliphatic polyimides and their derivatives for microelectronics and optoelectronics applications. Macromol. Res., 2007. [DOI]
- Y. Tsuda, K. Etou, N. Hiyoshi, M. Nishikawa, Y. Matsuki, N. Bessho. Soluble copolyimides based on 2,3,5-tricarboxycyclopentyl acetic dianhydride and conventional aromatic tetracarboxylic dianhydrides. Polym. J., 1998. [DOI]
- H. Ni, J. Liu, Z. Wang, S. Yang. A review on colorless and optically transparent polyimide films: Chemistry, process and engineering applications. J. Ind. Eng. Chem., 2015. [DOI]
- H. Suzuki, T. Abe, K. Takaishi, M. Narita, F. Hamada. The synthesis and X-ray structure of 1,2,3,4-cyclobutanetetracarboxylic dianhydride and the preparation of a new type of polyimide showing excellent transparency and heat resistance. J. Polym. Sci. Part A Polym. Chem., 2000. [DOI]
- M. Kusama, T. Matsumoto, T. Kurosaki. Soluble polyimides with polyalicyclic structure. 3. Polyimides from (4arH,8acH)-decahydro-1t,4t:5c,8c-dimethanonaphthalene-2t,3t,6c,7c-tetracarboxylic 2,3:6,7-dianhydride. Macromolecules, 1994. [DOI]
- T. Matsumoto, T. Kurosaki. Soluble and colorless polyimides from bicyclo[2.2.2]octane-2,3,5,6-tetracarboxylic 2,3:5,6-dianhydrides. Macromolecules, 1997. [DOI]
- T. Matsumoto. Nonaromatic polyimides derived from cycloaliphatic monomers. Macromolecules, 1999. [DOI]
- J. Li, J. Kato, K. Kudo, S. Shiraishi. Synthesis and properties of novel soluble polyimides having an unsymmetric spiro tricyclic dianhydride unit. Macromol. Chem. Phys., 2000. [DOI]
- M. Hasegawa, K. Kasamatsu, K. Koseki. Colorless poly(ester imide)s derived from hydrogenated trimellitic anhydride. Eur. Polym. J., 2012. [DOI]
- M. Hasegawa, D. Hirano, M. Fujii, M. Haga, E. Takezawa, S. Yamaguchi, A. Ishikawa, T. Kagayama. Solution-processable colorless polyimides derived from hydrogenated pyromellitic dianhydride with controlled steric structure. J. Polym. Sci. Part A Polym. Chem., 2013. [DOI]
- M. Hasegawa, M. Horiuchi, K. Kumakura, J. Koyama. Colorless polyimides with low coefficient of thermal expansion derived from alkyl-substituted cyclobutanetetracarboxylic dianhydrides. Polym. Int., 2014. [DOI]
- M. Hasegawa, M. Fujii, J. Ishii, S. Yamaguchi, E. Takezawa, T. Kagayama, A. Ishikawa. Colorless polyimides derived from 1S,2S,4R,5R-cyclohexanetetracarboxylic dianhydride, self-orientation behavior during solution casting, and their optoelectronic applications. Polymer, 2014. [DOI]
- A. Shiotani, H. Shimazaki, M. Matsuo. Preparation of transparent polyimides derived from cis- and trans-dicyclohexyl-3,3′,4,4′-tetracarboxylic dianhydrides. Macromol. Mater. Eng., 2001. [DOI]
- Y. Guo, H. Song, L. Zhai, J. Liu, S. Yang. Synthesis and characterization of novel semi-alicyclic polyimides from methyl-substituted tetralin dianhydride and aromatic diamines. Polym. J., 2012. [DOI]
- X. Fang, Z. Yang, S. Zhang, L. Gao, M. Ding. Synthesis and properties of polyimides derived from cis- and trans-1,2,3,4-cyclohexanetetracarboxylic dianhydrides. Polymer, 2004. [DOI]
- G. Jiang, D. Wang, H. Du, X. Wu, Y. Zhang, Y. Tan, L. Wu, J. Liu, X. Zhang. Reduced coefficients of linear thermal expansion of colorless and transparent semi-alicyclic polyimide films via incorporation of rigid-rod amide moiety. Preparation and properties. Polymers, 2020. [DOI | PubMed]
- Y. Zhuang, J.G. Seong, Y.M. Lee. Polyimides containing aliphatic/alicyclic segments in the main chains. Prog. Polym. Sci., 2019. [DOI]
- M. Hasegawa. Development of solution-processable, optically transparent polyimides with ultra-low linear coefficients of thermal expansion. Polymers, 2017. [DOI | PubMed]
- X. Hu, J. Yan, Y. Wang, H. Mu, Z. Wang, H. Cheng, F. Zhao, Z. Wang. Colorless polyimides derived from 2R,5R,7S,10S-naphthanetetracarboxylic dianhydride. Polym. Chem., 2017. [DOI]
- H. Ozawa, E. Ishiguro, Y. Kyoya, Y. Kikuchi, T. Matsumoto. Colorless polyimides derived from an alicyclic tetracarboxylic dianhydride, CpODA. Polymers, 2021. [DOI | PubMed]
- H. Liu, L. Zhai, L. Bai, M. He, C. Wang, S. Mo, L. Fan. Synthesis and characterization of optically transparent semi-aromatic polyimide films with low fluorine content. Polymer, 2019. [DOI]
- X. Hu, H. Mu, Y. Wang, Z. Wang, J. Yan. Colorless polyimides derived from isomeric dicyclohexyl-tetracarboxylic dianhydrides for optoelectronic applications. Polymer, 2018. [DOI]
- M. Hasegawa, Y. Watanabe, S. Tsukuda, J. Ishii. Solution-processable colorless polyimides with ultralow coefficients of thermal expansion for optoelectronic applications. Polym. Int., 2016. [DOI]
- M. Hasegawa, S. Takahashi, S. Tsukuda, T. Hirai, J. Ishii, Y. Yamashina, Y. Kawamura. Symmetric and asymmetric spiro-type colorless poly(ester imide)s with low coefficients of thermal expansion, high glass transition temperatures, and excellent solution-processability. Polymer, 2019. [DOI]
- M. Hasegawa, K. Ichikawa, S. Takahashi, J. Ishii. Solution-processable colorless polyimides derived from hydrogenated pyromellitic dianhydride: Strategies to reduce the coefficients of thermal expansion by maximizing the spontaneous chain orientation behavior during solution casting. Polymers, 2022. [DOI | PubMed]
- H.C. Yu, S.V. Kumar, J.H. Lee, S.Y. Oh, C.M. Chung. Preparation of robust, flexible, transparent films from partially aliphatic copolyimide. Macromol. Res., 2015. [DOI]
- M. Hasegawa, H. Sato, K. Hoshino, Y. Arao, J. Ishii. Colorless polyimides derived from octahydro-2,3,6,7-anthracenetetracarboxylic dianhydride. Macromol, 2023. [DOI]
- Y. Tang, L. Li, K. Ma, G. Chen, W. Wang, X. Fang. Transparent and organosoluble cardo polyimides with different trans/cis ratios of 1,4-diaminocyclohexane via aromatic nucleophilic substitution polymerization. Polym. Int., 2018. [DOI]
- J. Miao, X. Hu, X. Wang, X. Meng, Z. Wang, J. Yan. Colorless polyimides derived from adamantane-containing diamine. Polym. Chem., 2021. [DOI]
- M.A. Abdulhamid, X. Ma, B.S. Ghanem, I. Pinnau. Synthesis and characterization of organo-soluble polyimides derived from alicyclic dianhydrides and a dihydroxyl-functionalized spirobisindane diamine. ACS Appl. Polym. Mat., 2019. [DOI]
- P.K. Tapaswi, C.S. Ha. Recent trends on transparent colorless polyimides with balanced thermal and optical properties: Design and synthesis. Macromol. Chem. Phys., 2019. [DOI]
- Y. Liu, Y. Wang, D. Wu. Synthetic strategies for highly transparent and colorless polyimide film. J. Appl. Polym. Sci., 2022. [DOI]
- M. Hasegawa, T. Miyama, J. Ishii, D. Watanabe, A. Uchida. Colorless polyimides derived from 5,5′-bis(2,3-norbornanedicarboxylic anhydride). Strategies to reduce the linear coefficients of thermal expansion and improve the film toughness. Polymers, 2023. [DOI | PubMed]
- M. Hasegawa, T. Shinoda, K. Nakadai, J. Ishii, T. Okuyama, K. Tokuda, H. Wakui, N. Watanabe, K. Kitamura. Colorless polyimides with low linear coefficients of thermal expansion and their controlled soft adhesion/easy removability on glass substrates. Role of modified one-pot polymerization method. Polymers, 2025. [DOI | PubMed]
- S. Numata, S. Oohara, K. Fujisaki, J. Imaizumi, N. Kinjo. Thermal expansion behavior of various aromatic polyimides. J. Appl. Polym. Sci., 1986. [DOI]
- S. Numata, K. Fujisaki, N. Kinjyo. Re-examination of the relationship between packing coefficient and thermal expansion coefficient for aromatic polyimides. Polymer, 1987. [DOI]
- S. Numata, N. Kinjo, D. Makino. Chemical structures and properties of low thermal expansion coefficient polyimides. Polym. Eng. Sci., 1988. [DOI]
- M. DeSarkar, P. Senthilkumar, S. Franklin, G. Chatterjee. Effect of particulate fillers on thermal expansions and other critical performances of polycarbonate-based compositions. J. Appl. Polym. Sci., 2012. [DOI]
- H. Chun, Y. Kim, S. Tak, S. Park, S. Park, C. Oh. Preparation of ultra-low CTE epoxy composite using the new alkoxysilyl-functionalized bisphenol A epoxy resin. Polymer, 2018. [DOI]
- V. Kosamiya, L. Li, I.N. Gkikas, J.D. Castro, J. Oppenheimer, I. Spanopoulos, J. Wang. Low coefficient of thermal expansion (CTE) ceramic–thermoplastic composite for fused deposition modelling of RF and microwave devices. Crystals, 2025. [DOI]
- W.J. Bae, M.K. Kovalev, F. Kalinina, M. Kim, C.K. Cho. Towards colorless polyimide/silica hybrids for flexible substrates. Polymer, 2016. [DOI]
- KAPTON® EN Data Sheet
- Spectral Database for Organic Compounds (SDBS)
- Y. Zhou, Y. Song, Y. Liu, J. Qu. A convenient one-pot preparation of spiro[fluorene-9,9′-xanthene]-3′,6′-diol derivatives. ARKIVOC, 2015. [DOI]
- K. Nakagawa. Optical anisotropy of polyimide. J. Appl. Polym. Sci., 1990. [DOI]
- D. Boese, H. Lee, D.Y. Yoon, J.D. Swalen, J.F. Rabolt. Chain orientation and anisotropies in optical and dielectric properties in thin films of stiff polyimides. J. Polym. Sci. Part B Polym. Phys., 1992. [DOI]
- J.C. Coburn, M.T. Pottiger. Thermal curing in polyimide films and coatings. Polyimides: Fundamentals and Applications, 1996
- M. Hasegawa, T. Matano, Y. Shindo, T. Sugimura. Spontaneous molecular orientation of polyimides induced by thermal imidization (2). In-plane orientation. Macromolecules, 1996. [DOI]
- T.P. Russel, H. Gugger, J.D. Swalen. In-plane orientation of polyimide. J. Polym. Sci. Polym. Phys., 1983. [DOI]
- N. Takahashi, D.Y. Yoon, W. Parrish. Molecular order in condensed states of semiflexible polyamic acid and polyimide. Macromolecules, 1984. [DOI]
- M. Hasegawa, T. Ishigami, J. Ishii. Optically transparent aromatic poly(ester imide)s with low coefficients of thermal expansion (1). Self-orientation behavior during solution casting process and substituent effect. Polymer, 2015. [DOI]
- M. Hasegawa, M. Koyanaka. Polyimides containing trans-1,4-cyclohexane unit. Polymerizability of their precursors and low-CTE, Low-K and high-Tg properties. High Perform. Polym., 2003. [DOI]
- M. Hasegawa, M. Horiuchi, Y. Wada. Polyimides containing trans-1,4-cyclohexane unit (II). Low-K and Low-CTE semi- and wholly cycloaliphatic polyimides. High Perform. Polym., 2007. [DOI]
- M. Hasegawa, S. Horii. Low-CTE Polyimides derived from 2,3,6,7-naphthalenetetracarboxylic dianhydride. Polym. J., 2007. [DOI]
- H.G. Rogers, R.A. Gaudiana, W.C. Hollinsed, P.S. Kalyanaraman, J.S. Manello, C. McGowan, R.A. Minns, R. Sahatjian. Highly amorphous, birefringent, para-linked aromatic polyamides. Macromolecules, 1985. [DOI]
- Y. Okada, O. Urakawa, T. Inoue. Reliability of intrinsic birefringence estimated via the modified stress-optical rule. Polym. J., 2016. [DOI]
- M. Hasegawa, K. Okuda, M. Horimoto, Y. Shindo, R. Yokota, M. Kochi. Spontaneous molecular orientation of polyimides induced by thermal imidization. 3. Component chain orientation in binary polyimide blends. Macromolecules, 1997. [DOI]
- S. Herminghaus, D. Boese, D.Y. Yoon, B.A. Smith. Large anisotropy in optical properties of thin polyimide films of poly(p-phenylene biphenyltetracarboximide). Appl. Phys. Lett., 1991. [DOI]
- M. Hasegawa, K. Koseki. Poly(ester imide)s possessing low CTE and low water absorption. High Perform. Polym., 2006. [DOI]
- M. Hasegawa, S. Horii. Heat-resistant polymers with intense, visible photoluminescence functionality and fluorescence probing application. Macromol, 2023. [DOI]
- V.V. Korshak, S.V. Vinogradova, Y.S. Vygodskii. Cardo polymers. J. Macromol. Sci. Rev. Macromol. Chem. Part C, 1974. [DOI]
- C.P. Yang, J.H. Lin. Syntheses and properties of aromatic polyamides and polyimides derived from 9,9-bis[4-(p-aminophenoxy)phenyl]fluorene. J. Polym. Sci. Part A Polym. Chem., 1993. [DOI]
- M. Hasegawa, A. Tominaga. Fluorene-containing poly(ester imide)s and their application to positive-type photosensitive heat-resistant materials. Macromol. Mater. Eng., 2011. [DOI]
- M. Hasegawa, Y. Hoshino, N. Katsura, J. Ishii. Superheat resistant polymers with low coefficients of thermal expansion. Polymer, 2017. [DOI]
- M. Ree, T.L. Nunes, G. Czornyj, W. Volksen. Residual stress behaviour of isomeric PMDA-ODA polyimides. Polymer, 1992. [DOI]
- L. Zhu, Y. Li, S. Han, H. Niu, D. Wu, S. Qi. Revealing the high-modulus mechanism of polyimide films prepared with 3,4′-ODA. Polymers, 2021. [DOI | PubMed]
- P.R. Young, J.R.J. Davis, A.C. Chang, J.N. Richardson. Characterization of a thermally imidized polyimide film. J. Polym. Sci. Part A Polym. Chem., 1990. [DOI]
- C.A. Pryde. IR studies of polyimides. I. Effects of chemical and physical changes during cure. J. Polym. Sci. Part A Polym. Chem., 1989. [DOI]
- G. Voyiatzis, G. Petekidis, D. Vlassopoulos, E.I. Kamitsos, A. Bruggeman. Molecular orientation in polyester films using polarized laser Raman and Fourier transform infrared spectroscopies and X-ray diffraction. Macromolecules, 1996. [DOI]
- T. Nobeshima, H. Sakai, Y. Ishii, S. Uemura, M. Yoshida. Polarized FT-IR study of uniaxially aligned electrospun poly(DL-lactic acid) fiber films. J. Photopolym. Sci. Technol., 2016. [DOI]
