Open Access Article
This Open Access Article is licensed under a Creative Commons Attribution-Non Commercial 3.0 Unported Licence

Oxygen-free polymers: new materials with low dielectric constant and ultra-low dielectric loss at high frequency

Jiaren Hou a, Jing Sun *ab and Qiang Fang *a
aKey Laboratory of Synthetic and Self-Assembly Chemistry for Organic Functional Molecules, Center for Excellence in Molecular Synthesis, Shanghai Institute of Organic Chemistry, University of Chinese Academy of Sciences, Chinese Academy of Sciences, 345 Lingling Road, Shanghai 200032, P. R. China. E-mail: qiangfang@sioc.ac.cn; sunjing@sioc.ac.cn
bCAS Key Laboratory of Energy Regulation Materials Shanghai Institute of Organic Chemistry, 345 Lingling Road, Shanghai 200032, P. R. China

Received 5th May 2023 , Accepted 16th June 2023

First published on 20th June 2023


Abstract

Two new oxygen-free polymers (p-4F-BVS and p-6F-BVS) have been prepared through a thermal crosslinking reaction based on benzocyclobutene-containing monomers that contain only carbon, hydrogen, fluorine, and silicon atoms without oxygen atoms. These polymers display excellent dielectric performance at a high frequency of 10 GHz with dielectric constants (Dk) of 2.42 and 2.58 and dielectric losses (Df) of 6.4 × 10−4 and 1.1 × 10−3 for p-6F-BVS and p-4F-BVS. For comparison, a polymer (p-6F-BCB) containing oxygen atoms has been synthesized, which exhibits a Dk of 2.48 and a Df of 2.33 × 10−3. These results indicate that oxygen atoms have a negative effect on the dielectric loss of the organic materials, while the introduction of the bulky –CF3 groups is positive for decreasing the dielectric constants of the polymers. Such results are significant for the design of low dielectric loss materials. The two polymers also exhibit a low thermal expansion coefficient (CTE) of about 55 ppm °C−1 in the range of temperatures from 30 to 300 °C. These data indicate that the two polymers are highly desirable for application as advanced packaging materials in the microelectronics industry.


Introduction

In recent years, high-frequency communication technology has been widely applied in many fields such as mobile communication, aerospace, artificial intelligence and autopilot.1–3 To achieve high-quality electronic communication, devices should meet certain requirements including ultra-fast signal transmission speed, extremely low signal delay and multiple user connections, which leads to the miniaturization and densification of electronic devices.1,2 In many cases, however, resistance–capacitance delay, crosstalk and energy loss during signal transmission usually occur.4,5 Thus, exploring and developing dielectric materials with a low dielectric constant (Dk) and low dielectric loss (Df) are necessary.

It is known that the transmission speed (v) and transmission loss (α) of the signal in the dielectrics are closely related to Dk and Df, as shown in eqn (1) and (2):4,6

 
ν = kcDk−½(1)
 
α = kfDk½Df(2)
where c is the speed of light, f is the frequency, and k and k′ are constants. Obviously, v is dependent on Dk and α is closely related to Df. Therefore, to improve the transmission speed and quality of the signal, the reduction of Dk and Df is necessary. Usually, it is desirable for dielectric materials to have a Dk below 2.5 and a Df lower than 0.001 at high frequencies above 5 GHz, while few low-k materials exhibit such low Dk and low Df.

In principle, the Dk of organic materials can be effectively reduced through two main approaches.7 The first one is to reduce the polarizability of the molecules via introducing low polarizable groups into the backbone or side chains of the molecules, such as C–F, Si–C, and C–C groups. The second one is to lower the dipole density through attaching bulky groups to the polymers and using pore-creating technology.8 Although many attempts have been made to reduce the Dk of the polymers, including adding fluorinated groups and incorporating bulk adamantine9 or spiro-type aryl groups10 into the polymers, few investigations on the reduction of the Df have been reported in the past decades. The reason may be that there are many complicated factors that affect the Df including polarization characteristics and molecular stacking. A study from Li's group indicates that polyimides with phenyl sulfide groups exhibit reduced Df when the content of phenyl sulfide increases because the high content may affect the degree of micro-crystallinity.11

Moreover, for practical applications, low-k materials must possess certain characteristics including high thermostability, ease of processing, high hydrophobicity and good film-forming ability.12 Hence, it is of significance to explore new methods to achieve low-k materials with outstanding comprehensive properties. We have therefore designed and synthesized two intrinsic low-k polymers with ultra-low Df based on monomers with fluorinated and thermo-crosslinkable benzocyclobutene (BCB) groups without oxygen atoms (4F-BVS and 6F-BVS, shown in Fig. 1). The cured 4F-BVS and 6F-BVS exhibit Dk values of 2.42 and 2.57, respectively, as well as Df values of 6.4 × 10−4 and 1.1 × 10−3, respectively, at a frequency of 10 GHz. For comparison, a monomer containing oxygen atoms (6F-BCB, Fig. 1) has been prepared, and the cured 6F-BCB (p-6F-BCB) exhibits a Dk of 2.48 and a Df of 2.33 × 10−3. These data indicate that the oxygen-free feature of the polymers has a positive effect on the Df of the polymers, while introducing the bulky CF3 groups can decrease the Dk of the polymers. Moreover, enhancing the cross-linking density can be beneficial for lowering the Df of the polymers. The thermal expansion coefficient (CTE) is an important parameter for the application of the materials; thus the CTE data of the two polymers have also been investigated, exhibiting a CTE of about 55 ppm °C−1 within the temperature range 30–300 °C. Such excellent properties of the two polymers imply that the polymers are suitable as interlayer dielectric resins or advanced packaging materials for applications in the microelectronics industry. Here, we report the details.


image file: d3py00494e-f1.tif
Fig. 1 Dielectric properties of the polymers based on the BCB monomers with and without oxygen atoms.

Experimental section

Materials

Dichloromethylvinylsilane, N,N,N′,N’-tetramethylethylenediamine (TMEDA), 1,2,4,5-tetrafluorobenzene, and 1,4-bis(trifluoromethyl)benzene were purchased from TCI (Shanghai) Development Co. 4-Bromobenzocyclobutene, N-bromosuccinimide (NBS) and n-butyl lithium (n-BuLi) were purchased from Chemtarget Technologies Co., Innocent (Beijing) Technology Co. and Adamas Reagent Co., respectively. THF was treated using a solvent handling system before use. All solvents were used as received unless stated otherwise.

Method

1H NMR, 13C NMR, and 19F NMR spectra were recorded on an AVANCE 500 spectrometer with CDCl3 as the solvent. Elemental analysis (EA) was carried out using an Elementar VARIO ELIII apparatus. High-resolution mass spectrometry (HRMS) was acquired using an Agilent technologies 6230 TOF LC/MS instrument. Fourier transform-infrared (FT-IR) spectra were measured via a Thermo Scientific Nicolet spectrometer with KBr pellets in air. Differential scanning calorimetry (DSC) curves were obtained with a TA instrument (DSC Q200) at a heating rate of 10 °C min−1 under a nitrogen flow. Thermogravimetric analysis (TGA) curves were monitored on a TG 209F1 apparatus in nitrogen with a heating rate of 10 °C min−1. Dynamic mechanical analysis (DMA) was carried out on a DMA Q800 instrument in nitrogen with a heating rate of 5 °C min−1. Thermal mechanical analysis (TMA) was performed on a TA Q400 instrument in nitrogen with a heating rate of 5 °C min−1. Dk and Df were measured using a Keysight n5227A vector network analyzer with a split post-dielectric resonator at a frequency of 10 GHz. X-ray diffraction (XRD) was performed on a PANalytical X′Pert Powder instrument.

Preparation of BVCS

BVCS (see Scheme 1) was synthesized according to a previously reported route.13 The general procedure is as follows: 4-bromobenzocyclobutene (10.0 g, 54.63 mmol) was added dropwise to a stirring solution of anhydrous THF (20 mL) containing dichloromethylvinylsilane (9.3 g, 65.56 mmol), magnesium turnings (1.4 g, 57.56 mmol) and a grain of iodine at room temperature under a nitrogen atmosphere. After being stirred at room temperature for an additional 6 h, the mixture was poured into 200 mL of n-hexane and filtered to remove the precipitate. The filtrate was concentrated under reduced pressure. The obtained residue was subjected to distillation to give BVCS in a yield of 79% as a colorless transparent liquid.
image file: d3py00494e-s1.tif
Scheme 1 The procedure for the synthesis of monomers (a) and polymers (b).

Preparation of 4F-BVS

A solution of n-BuLi in hexane (14 mL, 2.5 M) was slowly added via a syringe into a solution of TMEDA (4.1 g, 35.18 mmol) in anhydrous THF (20 mL) at −78 °C under N2 during a period of 30 min. 1,2,4,5-Tetrafluorobenzene (2.4 g, 15.99 mmol) was then added dropwise to the mixture with stirring. After being maintained at the temperature for an additional 1 h, the mixture was added to a solution of BVCS (7.0 g, 33.53 mmol) in THF (20 mL) using a syringe, warmed to room temperature naturally and stirred at room temperature for 4 h. The reaction mixture was quenched with ethanol and concentrated under reduced pressure. The obtained residue was diluted with ethyl acetate (200 mL). The obtained solution was washed with brine (1 × 100 mL) and water (3 × 200 mL), dried over anhydrous Na2SO4, filtered, and concentrated to give the crude product. The pure 4F-BVS was obtained as a white solid in a yield of 51% after treating the crude product with flash chromatography using petroleum (60–90 °C) as the eluent. 1H NMR (500 MHz, CDCl3): δ 7.43 (d, J = 7.2 Hz, 2H), 7.27 (s, 2H), 7.10 (d, J = 7.2 Hz, 2H), 6.63 (dd, J = 20.3, 14.6 Hz, 2H), 6.23 (dd, J = 14.6, 3.2 Hz, 2H), 5.90 (dd, J = 20.3, 3.2 Hz, 2H), 3.21 (s, 8H), 0.78 (s, 6 H). 13C NMR (126 MHz, CDCl3): δ 149.68, 149.70, 148.21, 147.78, 145.84, 134.95, 134.60, 132.61, 132.42, 127.94, 122.25, 116.99, 29.97, 29.93, −3.24. 19F NMR (376 MHz, CDCl3): δ −126.34. HRMS (m/z): calcd for [M + NH4]+: 512.1847. Found: 512.1843. Elemental analysis: calcd for C28H26F4Si2, C, 67.99; H, 5.30; F, 15.36. Found, C, 67.75; H, 5.49; F, 15.50.

Preparation of 6F-BVS

By using a similar route to that used for the synthesis of 4F-BVS, 6F-BVS was synthesized in a yield of 69% as a white solid. 1H NMR (500 MHz, CDCl3): δ 8.02 (s, 2H), 7.29 (d, J = 7.2 Hz, 2H), 7.13 (s, 2H), 7.06 (d, J = 7.2 Hz, 2H), 6.51 (dd, J = 20.3, 14.6 Hz, 2H), 6.22 (dd, J = 14.6, 3.3 Hz, 2 H), 5.80 (dd, J = 20.3, 3.3 Hz, 2H), 3.19 (s, 8H), 0.73 (s, 6H). 13C NMR (126 MHz, CDCl3): δ 147.78, 145.65, 137.69, 135.57, 135.37, 135.11, 133.03, 132.92, 131.98, 128.19, 127.38, 122.04, 29.93, 29.87, −3.20. 19F NMR (376 MHz, CDCl3) δ −57.95; HRMS (m/z): calcd for [M + NH4]+: 576.1972. Found: 576.1971. Elemental analysis: calcd for C30H28F6Si2, C, 64.49; H, 5.05; F, 20.40. Found, C, 64.83; H, 5.13; F, 20.48.

Curing of the monomers

A monomer (about 1.2 g) in a flat-bottomed glass mold (cylinder- or cuboid-shape) was placed into a quartz tube furnace, and the furnace was heated under reduced pressure to 100 °C and maintained at that temperature for 1 h until the monomer had fully melted and no bubble from the melting monomer was observed. The reduced pressure was released, and nitrogen was introduced into the furnace. The furnace was then heated at 200 °C for 1 h, 220 °C for 1 h, 240 °C for 2 h and 260 °C for 1 h, respectively. Thus, a fully cured sample was obtained. The size and shape of the samples varied according to the testing requirements. For the CTE test, a cylinder-shaped sample was needed, and it was prepared in a mold with a diameter of 10 mm and a height of 2 mm. For the DMA test, a cuboid-shaped sample was needed, and it was prepared in a mold with a length of 30 mm, a width of 10 mm and a height of 2 mm. For the measurement of dielectric properties and water uptake, a cylinder-shaped sample was needed, and it was prepared in a mold with a diameter of 30 mm and a height of 0.8 mm.

Results and discussion

Preparation and characterization of monomers

The fluorinated benzocyclobutene monomers 4F-BVS and 6F-BVS were prepared by a two-step reaction. Firstly, the intermediate BVCS was synthesized by a nucleophilic substitution reaction between dichloromethylvinylsilane and bromobenzocyclobutene. Next, the intermediate BVCS further reacted with fluoro-containing compounds in the presence of n-BuLi and the organic amine TMEDA (Scheme 1a) to give 4F-BVS and 6F-BVS. These two monomers exhibit good solubility in common organic solvents and have a low melting point of below 90 °C, suggesting the good processability of the monomers.

The chemical structures of 4F-BVS and 6F-BVS were characterized by 1H NMR, 13C NMR, 19F NMR, FI-IR, HRMS and elemental analysis (EA), and the 1H NMR spectra of 4F-BVS and 6F-BVS are depicted in Fig. 2. As shown in Fig. 2, the peak at 0.78 ppm is attributed to the protons in Si–CH3, while the peak at 3.21 ppm belongs to the protons of –CH2–CH2– in the four-membered ring of benzocyclobutene. In addition, the peaks at 5.88 ppm, 6.21 ppm and 6.59 ppm are assigned to the protons in –CH[double bond, length as m-dash]CH2 connected to the Si atom. In Fig. 2b, the peak at 8.02 ppm belongs to the aromatic protons of the tetrasubstituted benzene in 6F-BVS. In the 13C NMR spectra (see the ESI, Fig. S2 and S5), the signals for the carbon atoms in the four-membered ring of the BCB group appear at 29.93 ppm and 29.97 ppm. In the 19F NMR (see the ESI, Fig. S3 and S6), the characteristic peaks of the fluorine atoms in 4F-BVS and 6F-BVS appear at −126.33 and −57.96 ppm, respectively. Based on the data depicted in the ESI and the data shown in Fig. 2, it is obvious that all the data are consistent with the proposed structures.


image file: d3py00494e-f2.tif
Fig. 2 1H NMR spectra of 4F-BVS (a) and 6F-BVS (b).

Curing behaviour of the monomers

It is well known that the BCB group can be easily converted to an o-quinodimethane or a diradical intermediate at high temperatures. This intermediate has a tendency to form an eight-membered ring or undergo a self-polymerization reaction. In particular, this intermediate is able to react with double bonds via the Diels–Alder reaction to form six-membered rings.14,15 To well understand the curing process of 4F-BVS and 6F-BVS, a schematic mechanism is described in Scheme 1b.

The curing behavior was monitored by DSC, and the results are depicted in Fig. 3, As shown in Fig. 3, 4F-BVS and 6F-BVS display melting points of about 80 °C and an exothermic reaction occurs around 225 °C, indicating a wide processing window. The two monomers show the maximum exothermic peak at 259 °C, which is ascribed to the ring-opening reaction and thermal polymerization of BCB groups. This phenomenon is in accordance with the curing process of the reported BCB resins.16,17 In addition, no exothermic peak appears in the second scan, indicating that the monomers have cured completely. The curing degree of the monomers was characterized by FI-IR (Fig. 4). As can be seen from Fig. 4, in the cured monomers, the absorption peaks at 2919 cm−1 and 1465 cm−1 attributed to methylene in BCB18 disappear, and the characteristic absorptions at 3059 cm−1 and 1642 cm−1 assigned to the [double bond, length as m-dash]CH and C[double bond, length as m-dash]C stretching vibrations disappear. The peak at 962 cm−1 attributed to the C–H bending vibration in vinyl groups is also significantly reduced. In the FI-IR spectra of the cured polymers, a peak of ring-opening products appears at 1493 cm−1. These results indicate that 4F-BVS and 6F-BVS have been converted to the cross-linked polymers p-4F-BVS and p-6F-BVS.


image file: d3py00494e-f3.tif
Fig. 3 DSC traces of 4F-BVS and 6F-BVS.

image file: d3py00494e-f4.tif
Fig. 4 FI-IR spectra of 4F-BVS and 6F-BVS before and after curing.

Thermostability

High thermostability is an essential feature of the low-k materials used in the microelectronics industry. Usually, low-k materials are required to endure temperatures of over 400 °C for the fabrication of microelectronics devices.12 Thus, the thermostability of the polymers p-4F-BVS and p-6F-BVS was investigated in detail. First, the thermal degradation temperatures of p-4F-BVS and p-6F-BVS under a nitrogen environment were evaluated by thermogravimetric analysis (TGA). As shown in Fig. 5, the 5% weight loss temperatures (T5d) of p-4F-BVS and p-6F-BVS are 446 °C and 441 °C, respectively. Meanwhile, the temperatures of the maximum rate of degradation (Tpeak) are both around 470 °C. The high T5d and Tpeak values indicate the good heat resistance of the polymers.
image file: d3py00494e-f5.tif
Fig. 5 TGA and DTG curves of p-4F-BVS and p-6F-BVS.

The thermomechanical properties of the polymers were further explored by dynamic mechanical analysis (DMA), and the storage modulus and tan[thin space (1/6-em)]δ curves are depicted in Fig. 6. p-4F-BVS and p-6F-BVS show storage moduli of 2.0 GPa and 1.6 GPa at room temperature, respectively. The storage moduli of the polymers remain stable even when the temperatures reach over 350 °C. Moreover, no obvious relaxations can be observed in the tan[thin space (1/6-em)]δ curves at test temperatures ranging from 30 °C to 440 °C, illustrating that the Tg values of p-4F-BVS and p-6F-BVS exceed 400 °C. The Tg values of the two polymers are higher than those of many previously reported BCB resins19–22 and comparable to those of commercial low-k polymers, such as polyimides,23,24 SILK resins,25 and cyanate esters.26 The reason why the two polymers have high storage moduli and Tg values may be their high cross-linking and rigid structures.


image file: d3py00494e-f6.tif
Fig. 6 DMA curves of p-4F-BVS and p-6F-BVS.

Thermally dimensional stability is one of the important parameters for the evaluation of dielectric polymers, which is closely related to the reliability of microelectronics devices. Therefore, the thermal dimensional stability of p-4F-BVS and p-6F-BVS was detected by thermal mechanical analysis (TMA). The linear coefficients of thermal expansion (CTEs) of the polymers were calculated based on the results of TMA (Fig. 7). As can be seen from Fig. 7, the CTEs of p-4F-BVS and p-6F-BVS are 48.10 ppm °C−1 and 53.26 ppm °C−1 in the range 30–300 °C, respectively, which are lower than that of a commercial BCB-based siloxy-containing resin DVS-BCB, 65.0 ppm °C−1.14 In addition, the CTE of p-6F-BVS is slightly higher than that of p-4F-BVS, attributed to the loose stacking caused by the large free volume of the trifluoromethyl groups.


image file: d3py00494e-f7.tif
Fig. 7 TMA curves of p-4F-BVS and p-6F-BVS.

Obviously, the above-mentioned data indicate that p-4F-BVS and p-6F-BVS possess high thermostability because of their dense cross-linking networks and rigid aromatic backbones.

Hydrophobicity

Good hydrophobicity and low water uptake are necessary for low-k materials because moisture has a great effect on the dielectric performance of the devices during practical application.12 In order to evaluate the water uptake of the two polymers, a test has been conducted, and the results indicate that p-4F-BVS and p-6F-BVS exhibit water uptakes of 0.33% and 0.17%, respectively, after being immersed in boiling water for 24 h, as shown in Fig. 8a. Such data are lower than those of the non-fluorinated BCB resins previously reported,27 indicating that the introduction of fluoro-containing groups can decrease the water uptake of the materials. The contact angles of water on the surface of p-4F-BVS and p-6F-BVS films were investigated, and the results are depicted in Fig. 8b and c. It can be seen that the polymers display contact angles higher than 96°, suggesting their good surface hydrophobicity.28,29 Thus, good surface hydrophobicity can prevent water from penetrating into the polymers and endow the polymers with desirable water repellency, contributing to achieving low water uptake. These results imply that the two polymers are suitable for use as protecting materials against moisture.
image file: d3py00494e-f8.tif
Fig. 8 Hydrophobicity of polymers: (a) column diagram of water absorption and contact angle; (b) contact angles of water on the surfaces of the polymer films: p-4F-BVS (b) and p-6F-BVS(c).

Dielectric properties

By using the resonance method, the Dk and Df of the two polymers and the controlling polymer (6F-BCB) were measured at a high frequency of 10 GHz, and the results are summarized in Table 1. As can be seen from Table 1, both the polymers exhibit low Dk and Df at a frequency of 10 GHz. Among the two polymers, p-6F-BVS shows a Dk of 2.42 and an ultra-low Df of 6.4 × 10−4 at 10 GHz, which are lower than those of p-4F-BVS and much lower than those of the controlling polymer p-6F-BCB with a Dk of 2.48 and a Df of 2.3 × 10−3. To the best of our knowledge, few intrinsic materials with a Dk of lower than 2.5 and a Df of less than 1.0 × 10−3 at high frequencies have been reported. In order to understand how p-6F-BVS achieves such low Dk and Df, the influence of the polymer structure on the dielectric properties has been investigated. According to the Debye equation (eqn (3)),
 
image file: d3py00494e-t1.tif(3)
where Dk is the dielectric constant, N is the number density of dipoles, αe is the electric polarization, αd is the distortion polarization, and μ2/3κBT is the orientation polarization related to the thermal averaging of permanent electric dipole moments. In comparison with the controlling polymer p-6F-BCB based on 6F-BCB (Fig. 1), p-6F-BVS exhibits lower Dk, and the reason may be attributed to the existence of the C–F and Si–C bonds with low polarizability in p-6F-BVS. In addition, oxygen-containing groups generally have high molar polarizability,6 so eliminating oxygen atoms in polymers can reduce the polarizability, resulting in a decrease in αe.
Table 1 Properties of organosilicon-based PFCB resins
Polymers F c[thin space (1/6-em)]a D k D f
a Fluoro-content of the polymer.
p-4F-BVS 15.4% 2.57 1.1 × 10−3
p-6F-BVS 20.4% 2.42 6.4 × 10−4
p-6F-BCB 25.3% 2.48 2.3 × 10−3


Relative to p-4F-BVS, p-6F-BVS also shows lower Dk. The reason is that bulky trifluoromethyl groups can increase the free volume, which is beneficial for reducing dipole density, leading to a decrease in N. Usually, bulky groups can limit the packing of molecular chains, thereby increasing the free volume. In order to verify the proposed assumption, X-ray diffraction (XRD) was employed to measure the distance between molecular chains in the polymers. As can be seen from Fig. 9, all polymers are amorphous, and the diffraction peaks (2θ) of p-4F-BVS and p-6F-BVS are 14.0° and 12.2°, respectively. According to the Bragg equation, the distances between molecular chains are 0.63 nm and 0.72 nm, respectively. These data illustrate that the bulky group in p-6F-BVS can increase the distance between molecular chains, resulting in enhanced free volume. Subsequently, the densities of p-4F-BVS and p-6F-BVS were measured as 1.200 g cm−3 and 1.187 g cm−3, respectively. The lower intrinsic density of p-6F-BVS further confirms that the incorporation of the –CF3 group into the polymer can restrict the accumulation of molecular chains, leading to a decrease in polymer density. In addition, the diffraction peak (2θ) of p-6F-BCB is 17.5°, and the corresponding distance between molecular chains is calculated as 0.51 nm. Relative to p-6F-BVS, p-6F-BCB without the –Si–C[double bond, length as m-dash]C– unit shows a closer stacking between molecular chains, resulting in a higher intrinsic density of 1.303 g cm−3.


image file: d3py00494e-f9.tif
Fig. 9 Powder X-ray diffraction patterns of the polymers.

Theoretically, the Df is mainly related to the polarization and movement of dipoles of polymers within the frequency range of radio waves.4 In this work, p-4F-BVS, p-6F-BVS, and p-6F-BCB have similar structures, and their dipole movements may be affected by the crosslinking density. The crosslinking density of the polymer is determined by the swelling method in xylene. The crosslinking density parameter (γ) can be calculated from eqn (4):30,31

 
image file: d3py00494e-t2.tif(4)
 
image file: d3py00494e-t3.tif(5)
where φr is the equilibrium volume fraction calculated according to eqn (5) by measuring the mass of polymers before swelling in xylene (m0) and the mass of polymers after swelling to equilibrium (m1), χ is the BCB polymer–xylene interaction parameter (the calculation of χ is described in the ESI), Vs is the molar volume of xylene (121.9 cm3 mol−1), ρc is the density of BCB polymers, and ρ0 is the density of xylene (0.86 g cm−3). The results are listed in Table 2, showing that p-6F-BVS, p-4F-BVS and p-6F-BCB have crosslinking densities of 8.14 × 10−2 mol cm−3, 6.67 × 10−2 mol cm−3 and 5.71 × 10−2 mol cm−3, respectively. The gel fractions of the polymers are calculated, which are all close to 1.0 (see Table S1 in the ESI), indicating that almost all monomers participate in the crosslinking reaction. Compared to p-6F-BCB, p-6F-BVS has a much higher crosslinking density, consequently showing a lower Df. This can be attributed to the fact that a higher cross-linking degree can restrict the orientation of units of the polymer in an external electric field.

Table 2 Crosslinking density parameters (γ) of BCB polymers
Resins ρ 0[thin space (1/6-em)]a (g cm−3) φ r χ γ × 10−2 (mol cm−3)
a The densities of polymers (ρ0) were calculated using the following formula: ρ = m/v.
p-4F-BVS 1.200 0.9984 1.50 6.67
p-6F-BVS 1.187 0.9988 0.76 8.14
p-6F-BCB 1.303 0.9980 1.74 5.71


The dielectric properties of p-6F-BVS were comparable to those of the high-frequency low-k materials reported recently, which are summarized in Fig. 10 and Table 3.27,32–40 At a high frequency of 10 GHz, p-6F-BVS displays excellent dielectric performance with low Dk and ultra-low Df, suggesting that it is a suitable candidate as an advanced packaging material for applications in the microelectronics industry.


image file: d3py00494e-f10.tif
Fig. 10 A comparison of the dielectric constants of p-4F-BVS and p-6F-BVS with those of the low-k resins previously reported at a high frequency of above 5 GHz.
Table 3 D k and Df of low-k materials at a high frequency of above 5 GHz reported in the literature
Resins Structure of precursors D k D f Ref.
6F-BVS image file: d3py00494e-u1.tif 2.51 0.00057 This work
4F-BVS image file: d3py00494e-u2.tif 2.63 0.0011 This work
BCB-V image file: d3py00494e-u3.tif 2.81 0.0068 27
R-Si-BCB image file: d3py00494e-u4.tif 2.69 0.0084 32
DBAF-B image file: d3py00494e-u5.tif 2.56 0.0012 22
FSi-BCB image file: d3py00494e-u6.tif 2.60 0.0015 33
IEDB image file: d3py00494e-u7.tif 2.59 0.0054 19
IEFB image file: d3py00494e-u8.tif 2.56 0.0012 19
PNBE-TFVE image file: d3py00494e-u9.tif 2.39 0.0037 34
R-TFVE image file: d3py00494e-u10.tif 2.52 0.0022 35
HR-TFVE image file: d3py00494e-u11.tif 2.45 0.0026 35
TFPM image file: d3py00494e-u12.tif 2.36 0.0013 36
POSS-TFVE image file: d3py00494e-u13.tif 2.51 0.0031 37
FDV image file: d3py00494e-u14.tif 2.80 0.0053 38
LSi-1 image file: d3py00494e-u15.tif 2.78 0.021 39
LSi-2 image file: d3py00494e-u16.tif 2.56 0.0024 39
LSi-3 image file: d3py00494e-u17.tif 2.53 0.0017 39
BA image file: d3py00494e-u18.tif 3.54 0.023 40
DA image file: d3py00494e-u19.tif 3.15 0.022 40
DF image file: d3py00494e-u20.tif 2.97 0.021 40


Conclusion

In summary, two oxygen-free BCB-based monomers 4F-BVS and 6F-BVS have been successfully synthesized by a facile route. After thermos-crosslinking, they converted into cross-linked resins (p-4F-BVS and p-6F-BVS). Both resins exhibit high thermostability, good dielectric properties and good hydrophobicity. Among the two resins, p-6F-BVS exhibits better comprehensive properties including a low CTE of 53 ppm °C−1 and a low water absorption of 0.17% after immersing in boiling water for 24 h. In particular, p-6F-BVS displays a Dk of 2.42 and an ultralow Df of 6.4 × 10−4 at a high frequency of 10 GHz, indicating its excellent dielectric properties. These data based on the two polymers indicate that the materials we prepared have potential applications as low-k materials in the field of high-frequency communication. Meanwhile, on the basis of the investigation on the relationship between chemical structure and properties of the materials, this contribution can provide an inspiration to develop new low Df materials.

Author contributions

Jiaren Hou: synthesis, investigation, data collection, and writing – original draft. Jing Sun: supervision and writing – review & editing. Qiang Fang: supervision, conceptualization, and writing – review & editing.

Conflicts of interest

There are no conflicts to declare.

Acknowledgements

This work was supported by the Natural Science Foundation of China (NSFC, No. 22175195, 22075311 and 21975278) and the Science and Technology Commission of Shanghai Municipality (23ZR1476200).

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Footnote

Electronic supplementary information (ESI) available: Characterization of compounds 4F-BVS and 6F-BVS, determination of crosslinking density (PDF). See DOI: https://doi.org/10.1039/d3py00494e

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