Gokhan
Topcu
*a,
David Reinoso
Arenas
b,
Steven
Huband
c,
Tony
McNally
b and
C. Remzi
Becer
a
aDepartment of Chemistry, University of Warwick, Coventry, CV4 7AL, UK. E-mail: gokhan.topcu@warwick.ac.uk
bInternational Institute for Nanocomposites Manufacturing (IINM), WMG, University of Warwick, Coventry, CV4 7AL, UK
cDepartment of Physics, University of Warwick, Coventry, CV4 7AL, UK
First published on 8th June 2022
Herein, we have reported a para-fluoro thiol click reaction allowing control of the microphase separation and dielectric properties of poly(pentafluorostyrene-b-acrylic acid) copolymers. The block copolymer of pentafluorostyrene and acrylic acid was synthesized with high block incompatibility by nitroxide mediated polymerisation. By using a para-fluoro thiol reaction, 1-dodecanethiol was precisely clicked to block copolymers in various ratios. The microphase structures formed with cylindrical morphologies with a minimum domain size of 5 nm. The orientation of the acrylic acid cylinders varied from horizontal to vertical as the click ratio was increased. The dielectric constant of the copolymers decreases with increasing click ratio because of the low dielectric constant of the dodecane pendant groups and reaches κ = 2.4 (at 1000 Hz). This study provides insights on one-step control over phase and dielectric properties by using a facile and very effective click reaction strategy for the fabrication of novel polymers for next-generation capacitor films used in directed energy and advanced integrated circuits with smaller feature sizes.
Block copolymers (BCPs) that can spontaneously self-assemble to form nanostructures in various morphologies present a possible solution to current scaling limitations whilst also being relatively easy to fabricate as thin films with reproducible nanostructure across large areas. The thermodynamic driving force leading to the separation of the two (or more) chemically discrete blocks is the main reason for self-assembly on the nanoscale. The morphology, size, and symmetry of the structure are highly governed by the volume fraction of the blocks, the overall degree of polymerisation, and the incompatibility of the constituent monomers (Flory–Huggins parameter, χ). The most frequently studied BCPs for microelectronics are poly(styrene-b-ethylene oxide) and poly(styrene-b-methyl methacrylate).5–7 The smallest lamellar domain spacing for these BCPs has been reported as 16 nm and 17.5 nm full-pitch, respectively.8,9 To further scale down this limit to below 10 nm domain size, various strategies have been reported based on the use of high-χ blocks. For instance, Jo et al. reported the bulk film of trifluoroethyl acrylate containing BCPs with a half-pitch of 5 nm,10 while Hancox et al. suggested the use of a fluorinated long-chain initiator as a first block to synthesize polar poly(acrylic acid) presenting a 3.8 nm half-pitch for lamellar morphology.11 Moreover, Woo et al. reported the use of short methacrylic acid block between PS and PMMA blocks to obtain sub-10 nm domains.12
On the other hand, the miniaturization of integrated circuits has resulted in excessive power consumption and signal delays in their interconnections.13–15 To overcome these limitations, materials that are insulating and possess low dielectric constants, have been studied.16–21 In addition, these low dielectric materials also have important potential applications in the fields of interlayer dielectrics, semiconductor packaging (e.g. chips, modules), and high frequency, low-loss boards.22,23 Typically, the dielectric constant of polymers can be reduced by the incorporation of fluorine atoms into the structure.24 Therefore, fluorinated polymers are promising candidates not only for phase separation but also as a component for transistor based electronic applications.25–28 For instance, 2,3,4,5,6-pentafluorostyrene (PFS) which has a low bulk dielectric constant of κ = 2.0–2.4 has been used to enhance the surface characteristics of dielectric layers.29,30 PFS can be easily modified because the para-fluorine atom moieties tend to undergo nucleophilic aromatic substitutions with various nucleophiles, such as amines,31 alcohols,32 and especially thiols.33,34 The most reactive is found to be the basis of the para-fluoro thiol reaction (PFTR).35 Notably, it makes PFTR a versatile route to obtain functional materials with different morphological and dielectric properties by modifying χ and k.
Herein, we report a controlled synthesis of PFS and acrylic acid diblock copolymers and their substitution in various ratios with 1-dodecane thiol via PFTR. The morphology and dielectric properties of the BCPs prepared were investigated for different click ratios. To the best of our knowledge, this is the first report of the microphase separation of PFS having an ultra-small domain size and phase control by simply applying PFTR.
The PPFS macroinitiator (1.62 g, 0.25 mmol, Mn = 6500 g mol−1) was dissolved in toluene (10 ml) and an aliquot of tBA (1.5 ml, 10 mmol, M/I = 40) was added. The reaction mixture was bubbled with nitrogen and heated for 5 hours at 120 °C. The P(PFS-b-tBA) was precipitated into cold methanol. The white precipitate was collected and dried overnight under a vacuum at 40 °C.
The substituted BCPs and trifluoroacetic acid were dissolved in DCM. The deprotection reaction was maintained at room temperature overnight. The polymer mixture was washed with acetone 3 times and, all solvent was removed and dried under vacuum (yield ≈ 87%).
The degrees of polymerisation were calculated to be 31 and 33 for PFS and tBA, respectively. Subsequently, BCP was reacted with 1-dodecanethiol in the presence of triethylamine. In the last step, a deprotection reaction of the tert-butyl groups was performed by using trifluoroacetic acid. As a result, P(PFS-b-PAA) having various amounts of the dodecane pendant chain were obtained. For the synthesis of the PFS homopolymer and BCP, a kinetic study was also performed (Fig. S1, ESI†). The monomer conversion was followed by 1H NMR and molecular weight measured by GPC at different reaction times. For each block, monomer conversions were found to be 72% (PFS) and 61% (tBA) after 5 h, respectively. The calculated Mn,GPC values increased with increasing monomer conversions, which suggests a “living” polymerisation process. Additionally, linear-like regimes were obtained for both block syntheses in the semi-logarithmic kinetic plot, which is consistent with first-order kinetics and the active groups remaining at a constant concentration. On the other hand, the dispersity index (Đ) values of the polymers remained narrow between 1.12 and 1.19 even at higher monomer conversions.
Since one of the aims of this work is to control the morphology and domain size by changing the molar fraction (χ also inherently changes), a long hydrocarbon chain was selected, namely 1-dodecanethiol, to reduce the molar fraction of the PAA (fPAA) block in the final compound. The detailed approach for the resulting BCPs by thiol modification is listed in Table 1. The Mn,GPC values increased gradually and reached 14350 g mol−1 when the click ratio was 86%. Meanwhile, the fPAA is calculated by the formula presented in ESI† and is found to be decreasing from 0.34 to 0.18. The number of repeating units for the calculation was estimated by GPC. PFTR works well in aprotic polar solvents, therefore, it was performed in DMF. In addition, the process can be readily traced, and the conversion can be calculated using 19F NMR spectroscopy as the ortho-, meta-, and para-fluorine atoms exhibit distinguished and well-separated resonances. The corresponding 19F NMR spectra of the clicked polymers for different reaction times are given in Fig. 2a. The spectrum of P1 representing non-clicked P(PFS-b-tBA) shows three distinct signals at −144, −155, and −162 ppm (labelled as a, c, b), which are assigned to ortho, para, and meta positions, respectively. With regards to pentafluorobenzyl compounds (–CH2–C6F5), the substitution reaction is regioselective, i.e., only para-fluorine is substituted. In the PFTR of the P(PFS-b-tBA) samples a new signal is observed at −135 ppm that is attributed to new meta-fluorine atoms.
M n,theo (g mol−1) | M nGPC,SEC (g mol−1) | Đ | Click ratio (%) | f PFS | f PAA | f C12 | |
---|---|---|---|---|---|---|---|
a M n,theo and MnGPC,SEC are calculated and measured from P(PFS-b-tBA). | |||||||
P1 | — | 10![]() |
1.19 | 0 | 0.57 | 0.43 | — |
P2 | 12![]() |
12![]() |
1.15 | 38 | 0.46 | 0.35 | 0.19 |
P3 | 13![]() |
13![]() |
1.15 | 59 | 0.38 | 0.29 | 0.33 |
P4 | 14![]() |
13![]() |
1.15 | 67 | 0.36 | 0.27 | 0.37 |
P5 | 14![]() |
13![]() |
1.14 | 72 | 0.34 | 0.26 | 0.40 |
P6 | 15![]() |
14![]() |
1.14 | 86 | 0.32 | 0.24 | 0.44 |
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Fig. 2 (a) 19F NMR spectra of P(PFS-b-AA) polymers after PFTR for different reaction times. (b) PFTR conversion as a function of time. |
The ratio between 19F NMR signals allows for the precise calculation of the click ratio with time, that is, following the kinetics of PFTR for P(PFS-b-tBA). The reaction was initiated by adding the TEA as a base into the mixture of the polymer and 1-dodecanethiol at room temperature. The reaction was stopped by the precipitation of the clicked polymer in cold methanol at various times for five different batches. The calculated conversions are shown in Fig. 2b. The conversion is around 60% in the first 30 min reaching 86% after 240 min. Similarly, 1H NMR measurements were also performed, and the corresponding spectra show distinct –CH2 protons at 0.7 ppm due to the long aliphatic chain in 1-dodecanethiol (Fig. S2, ESI†).
Before examining the morphology of the BCPs, the chemical incompatibility between the two blocks was increased via the deprotection of the tert-butyl pendant group because the resulting acrylic acid block has a more polar nature that can promote distinct phase separation. After an overnight deprotection reaction, 1H NMR spectra indicate a successful reaction (Fig. S3, ESI†) as the signal of methyl protons at 1.4 ppm completely disappears.
It is observed that the deprotection reaction has a dramatic effect on the morphology. While the tert-butyl containing sample (i.e. before deprotection) shows only an amorphous structure, the deprotected counterpart shows geometric shapes that imply microphase separation (Fig. S4, ESI†). Therefore, to investigate the microphase separation behaviour of the BCPs, a series of films of P(PFS-b-AA) with various click ratios and approximately 20 μm thick were prepared by spin coating (1000 rpm, 1 min) acetone solutions (100 mg ml−1) onto meticulously cleaned glass slides and annealing under an acetone-saturated atmosphere in a sealed chamber for 2 days. The morphology of the resulting films was examined by AFM and the corresponding images are presented in Fig. 3a–f. P1 contains the largest volume fraction of the PAA block (fPAA: 0.43) used in this study and shows a phase-separated structure with elongated structures resembling fingerprint shapes. In particular, the morphology of the BCP switches to perpendicular cylindrical with PFTR. P2 and P3 show more ordered cylindrical structures perpendicular to the surface of the substrate, which appear in the light coloured regions, i.e., small mounds, in the AFM images. During the formation of the microphase separation upon solvent annealing, the interaction between solvent and blocks has an inevitable effect on the stacking of polymer chains. Therefore, a change in swelling capability can govern the orientation.36 Here, the capability of swelling by acetone decreases with the addition of non-polar dodecane chains. Therefore, we assume that this reduction enables the vertically oriented acrylic acid cylinders. Further decrease in fPAA causes a loss in the order of cylinders seen in P4 and P5. However, the light spots are still recognisable confirming the morphology weakly exists. P6 which contains the smallest hydrophilic component shows an amorphous structure while only a small number of cylinders can be identified, presumably since the amount of PAA block in this copolymer is insufficient for phase separation.
![]() | ||
Fig. 3 Height images of P(PFS-b-AA) polymers prepared by varying click ratio using the QNM analysis mode of AFM. (a) Parallel cylindrical, (b and c) perpendicular cylindrical, (d and e) weak cylindrical morphologies, and (f) amorphous view of polymers (scale bar: 100 nm, inset scale bar: 50 nm). SAXS response when integrating over all orientations for 1–44 (g) P1 and (h) P2, and 2D SAXS plots measured with the sample surface parallel to the beam. |
The AFM image of P1 suggests the morphology of the BCP may be either lamellar or parallel cylinders. To clarify the geometric shape as a consequence of microphase separation, we performed SAXS measurements on P1 and P2. For these measurements, the polymer films were prepared on Kapton substrates, and a roughly 3 × 3 × 0.3 mm piece of the sample was selected. The samples were mounted such that the X-rays travelled parallel to the surface and in the centre of the beam. This means the horizontal direction of the detector measures the out-of-plane diffraction and the vertical the in-plane diffraction. The measured data for the P1 and P2 samples are shown in Fig. 3g and h. The positions for the peaks in P1 are consistent with the expected positions of q*, √3q* and 2q* for hexagonally packed cylinders. Therefore, this confirms that the fingerprint-like structures in the AFM image of P1 are parallel cylinders. In contrast, the SAXS pattern for P2 shows a single diffraction peak. The lack of higher-order peaks may arise from a reduced ordering of the cylinders into a hexagonally packed structure by the click reaction. This is consistent with the decreasing order visible in the AFM images with an increasing click ratio. The d-spacing of the q* peak is given by 2π/q and corresponds to the average distance from the centre of one cylinder to the next, which were calculated as 13.3 nm and 14.4 nm for P1 and P2 (out of plane), respectively. The 2D plots show in-plane versus out-of-plane signals of the polymers for parallel beam alignment. Similarly, the 1D scattering plots show consistent change with the measurement direction (Fig. S5, ESI†). Furthermore, χ parameter for P(PFS-b-AA), i.e. P1, was also calculated by using the SAXS profile and the Leibler theory.37,38 The detailed formula and calculation are presented in ESI,† and the χ parameter was found to be 0.246.
The domain size of the polymer samples was also measured from the microscopy images and given as a half-pitch (the distance between boundaries of similar domains, i.e., half of the d-spacing calculated by SAXS) in Fig. 4. The gradual colour change refers to morphological alteration due to PFTR. For cylindrical domains, it was assumed that the morphology is in close-packed and ordered structure. Therefore, the size was calculated using a geometrical approach, namely , where d is the diameter of PFS cylinders. The smallest domain size achieved in this work is 5.5 nm for parallel cylinder domains. The domain size consistently increases up to 8.6 nm (P5) as the click ratio is increased. Above that level, no domains are observed in amorphous P6. The PFTR in this work not only governs the χ parameter to change the phase but also increases the molecular mass. It should be noted that the domain size is highly dependent on the molecular mass of the polymer. Therefore, the addition of the hydrocarbon pendant groups using PFTR increases Mn resulting in larger domain sizes. Compared to size data from SAXS, AFM measurements give relatively small domain sizes (domain sizes for P1 dAFM: 5.5 nm and dSAXS: 6.7 nm) since only surface domains are considered, which tend to be more contracted. However, both techniques are consistent and show increasing domain size with PFTR.
![]() | ||
Fig. 4 Domain size (half-pitch) as a function of click ratio for P(PFS-b-AA) films with colour map background highlighting the different phases. |
As described previously, a low dielectric constant is required to minimize both the signal propagation delay and the dynamic power consumption in on-chip interconnects. The dielectric constant of materials (ε) is dependent on the material structure that defines a total degree of polarisation. In this context, the dielectric properties of P(PFS-b-AA) films with all types of structures were measured by Electrical Impedance Spectroscopy (EIS). The BCP samples for electrical characterisation were prepared using multiple coating steps on a round-shaped glass slide with a diameter of 2 cm as polymer films sandwiched between two parallel silver electrode layers (Fig. S6, ESI†). Before coating with a top silver electrode, the samples were annealed under acetone vapour for 2 days. The BCP thickness was kept at 15–20 μm whereas the silver electrode layers were approximately 4 μm. The effect of the click ratio on the dielectric properties of the BCPs was investigated in the frequency range 100 Hz to 100 kHz. Dielectric spectroscopy experiments demonstrated that all P(PFS-b-AA) samples have similarly shaped permittivity spectra regardless of morphology in the frequency ranges examined, as shown in Fig. 5a. The morphology independent dielectric properties might have been measured due to both blocks having a continuous phase throughout the film between electrodes. For all samples, the frequency-dependent relative dielectric permittivity values show a constant trend. Comparing P1 and P6, the permittivity shows a slight decrease with an increasing click ratio.
Lichtenecker's rule is an empirical mixing rule that is utilised to predict the dielectric constant of a material having multiple components. The formulation is based on logarithmic dielectric constants and the volume fractions of components,
ln(κmaterial) = f1![]() ![]() ![]() | (1) |
The dielectric loss factor (tanδ) is a measure of the energy absorbed in the medium as an electromagnetic wave passes through the material, namely, it quantifies the material's dissipation of electromagnetic energy. In Fig. 5c, tan
δ of the materials in the frequency range measured is presented and they show similar trends with changing frequency. At lower frequency, the dielectric loss shows a decrease, however, then stabilises above 1000 Hz. This behaviour may be attributed to the relaxation of the polymer films. After stabilisation, the values are sorted as shown in Fig. 5d, and gradually decrease from 0.055 to 0.044 as the click ratio is increased. In general, tan
δ is known to be influenced by the crystallinity and uniformity of the microstructure as well as the interaction between the nanostructures and the polymer boundary as reported for polymer composites.27,43 On the contrary, considering this slight decrease is as expected due to the change in the chemical structure of the polymer, no microphase-related effect was observed on dielectric loss. This morphology independent behaviour is due to a stable continuous PFS phase in all-polymer film samples.
The variation of the AC conductivity (σAC) was measured and the results as a function of angular frequency (ω = 2πf) are shown in Fig. 5e. It is observed that, as the click ratio increases, σAC decreases and the polymer films become more insulating. Typically, σAC is modelled and described by Jonscher.44 In most cases, the variation of σAC as a function of frequency can be classified into separate regions having different characteristics. The conductivity is predominantly due to the AC contribution at high frequencies, which generally increases with increasing frequency. However, it is dominated by DC at low frequency. Therefore, the measurement appears as a plateau and is almost independent of frequency, which is observed in our samples up to ≈350 rad s−1. The difference between σAC of each polymer is more significant in the region above 1000 Hz (≈6280 rad s−1). The σAC values at this point are presented in Fig. 5f. As predicted from the dielectric constant of the samples, the electrical conductivity values slightly decrease with increasing click ratio and it is seen to be 3.91 × 10−9 S cm−1 for P6. Thus, these P(PFS-b-AA) block copolymer films are electrically insulating materials.
Footnote |
† Electronic supplementary information (ESI) available: Includes 1H NMR spectra and GPC traces for PFTR, and detailed approach for polymerisation kinetics for diblock copolymers. See DOI: https://doi.org/10.1039/d2tc00009a |
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