Shabbir Madad
Naqvi
a,
Tufail
Hassan
a,
Aamir
Iqbal
a,
Shakir
Zaman
a,
Sooyeong
Cho
a,
Noushad
Hussain
a,
Xiangmeng
Kong
a,
Zubair
Khalid
a,
Zhiwang
Hao
a and
Chong Min
Koo
*ab
aSchool of Advanced Materials Science and Engineering, Sungkyunkwan University, Seobu-ro 2066, Jangan-gu, Suwon-si, Gyeonggi-do 16419, Republic of Korea. E-mail: chongminkoo@skku.edu
bSchool of Chemical Engineering, Sungkyunkwan University, Seobu-ro 2066, Jangan-gu, Suwon-si, Gyeonggi-do 16419, Republic of Korea
First published on 27th February 2025
The structural design of light-weight MXene–polymer composites has attracted significant interest for enhancing both electromagnetic interference (EMI) shielding performance and mechanical strength, which are critical for practical applications. However, a systematic understanding of how various structural configurations of MXene composites affect EMI shielding is lacking. In this study, light-weight Ti3C2Tx-PVA composites were fabricated in three structural forms, hydrogel, aerogel, and compact film, while varying the Ti3C2Tx areal density (14 to 20 mg cm−2) to elucidate the role of structural design in X-band EMI shielding and mechanical properties. The EMI shielding performance depends on the structural configuration and areal density of the MXene in Ti3C2Tx-PVA composites. The shielding effectiveness increases with increasing Ti3C2Tx content in each configuration. At a fixed Ti3C2Tx areal density of 0.02 g cm−2, the Ti3C2Tx-PVA hydrogel demonstrated the highest shielding effectiveness (SE = 70 dB at 10 GHz), attributed to strong dipole polarization and efficient ionic conduction behavior, followed by the compact film (40 dB) and then the aerogel (21 dB). Notably, the aerogel achieved the highest absorption coefficient (A = 0.89) due to the improved impedance matching and pronounced internal reflections, whereas the hydrogel and compact film exhibited reflection-dominated shielding. Furthermore, the incorporation of PVA polymer molecules into Ti3C2Tx MXenes significantly enhanced their mechanical properties across all configurations: the hydrogel achieved high stretchability (636%), the aerogel displayed superior compressive strength (0.215 MPa), and the compact film reached a tensile strength of 56 MPa, each surpassing the performance of its pristine Ti3C2Tx MXene counterpart. Overall, tailoring the structural configuration into a hydrogel, aerogel, or compact film offers versatile routes for optimizing both EMI attenuation and mechanical performance of MXene–polymer composites.
Recently, MXenes, a large family of two-dimentional (2D) transition metal carbides, nitrides, and carbonitrides, have emerged as promising light-weight shielding materials. MXenes offer excellent metallic conductivity (exceeding 24000 S cm−1),12 tunable composition,13 low apparent density, and outstanding solution processability.14 This was first demonstrated in 2016, when the Ti3C2Tx MXene exhibited remarkable EMI shielding effectiveness (SE), achieving 92 dB at a thickness of 45 μm.15 Furthermore, a 40 μm thick Ti3CNTx MXene film achieved an EMI SE of 116 dB, the highest value reported for any synthetic material.16 These findings highlight the potential of MXenes to outperform metals and carbon-based materials in EMI shielding at comparable thicknesses.
Despite their promising shielding performance, MXenes face challenges such as limited mechanical strength, dimensional stability, and long-term oxidation resistance, which are essential for practical applications. To address these challenges, interest has been growing in MXene-based polymer composites, which combine the excellent shielding properties of MXenes with the mechanical strength and structural stability of polymers.
The abundant surface terminal groups of MXenes, such as hydroxyl groups, provide easy solution processability, enabling the development of MXene–polymer composites in various structural configurations, including compact systems (films), porous structures (aerogels), and ionic species inclusions (hydrogels).17 These configurations have been investigated for their EMI shielding capabilities, and several studies have shown significant performance.
For instance, the first report of a Ti3C2Tx MXene compact composite film combined with sodium alginate (SA) achieved an EMI SE of 57 dB at a thickness of 8 μm.15 Since then, MXene composite films have been incorporated into a wide range of natural and synthetic polymers, including non-conductive materials such as polyethylene (PE), polymethyl methacrylate (PMMA), cellulose nanofibers (CNFs), polyvinyl alcohol (PVA), polyurethane (PU), polycarbonate (PC), polyvinylidene fluoride (PVDF), polyimide (PI), and polystyrene (PS), as well as conductive polymers like polypyrrole (PPy), polyaniline (PANI), and poly(3,4-ethylenedioxythiophene) polystyrene sulfonate (PEDOT:PSS). These composite films have exhibited EMI SE ranging from 45 to 90 dB at thicknesses between 11 and 400 μm.18–27 Porous structures, such as aerogels, benefit from multiple interphase interfaces, which promote multiple reflections and internal scattering of EM waves, indicating them as promising light-weight materials for EMI shielding. PVA-based Ti3C2Tx aerogels exhibited EMI SE values of 26–33 dB at thicknesses of 3.4–3.9 mm, whereas Ti3C2Tx-polyamide aerogels achieved a much higher SE of 80 dB at 210 μm.28,29 Similarly, Ti3C2Tx-SA aerogels reached an EMI SE of 70 dB at 2 mm, and Ti3C2Tx-PU foam exhibited an EMI SE of 72 dB at the same thickness.23,30 Moreover, Ti3C2Tx and water-soluble polymers can be effectively integrated into soft composite hydrogels; polar water molecules and mobile ions in the hydrogel configuration can significantly improve the attenuation of EM waves through polarization loss.31 For example, Ti3C2Tx-PEDOT:PSS hydrogels achieved an EMI SE of 51.7 dB at a thickness of approximately 0.3 mm,32 and Ti3C2Tx-PVA hydrogels exhibited an EMI SE of 31 dB at 1 mm thickness,33 with another reported material reaching an EMI SE of 48.6 dB at 1.5 mm.34
Despite these advances, a comprehensive study of shielding mechanisms across different structural types, such as hydrogels, aerogels, and compact films, remains a gap in the literature. A thorough exploration of these variations is essential for gaining a deeper understanding of how structural configuration affects the EMI shielding performance.
Therefore, this study investigates the EMI shielding performance of Ti3C2Tx-PVA composites in three distinct structural configurations: hydrogels, aerogels, and compact films. High-crystallinity Ti3C2Tx is used as a highly conductive MXene filler, and water-soluble PVA is chosen as the polymer matrix due to its excellent compatibility with the hydrophilic surface of Ti3C2Tx, enabling fabrication of homogeneous MXene–polymer composites in three structural configurations. By exploring the influence of structural configuration on EMI SE, this study provides a deeper understanding of how the arrangement and concentration of MXenes in polymer matrices can influence the EMI shielding performance. This study highlights the critical role of structural configuration in optimizing the EMI shielding performance of Ti3C2Tx-PVA composites.
Due to the excellent dispersibility of Ti3C2Tx and the solubility of PVA in deionized water, a homogeneous Ti3C2Tx-PVA aqueous solution formed readily, enabling the fabrication of hydrogels, aerogels, and compact films at various Ti3C2Tx areal densities (14–20 mg cm−2). Ti3C2Tx-PVA hydrogels were fabricated by adding sodium tetraborate to the Ti3C2Tx-PVA solution. The crosslinking process occurs in two stages. In the first stage, the tetrahydroxy borate anion reacts with a diol group on the PVA chain, forming a monodiol complex. In the second stage, the remaining hydroxyl groups attached to the boron atom in the borate react with adjacent diol groups, leading to the formation of a three-dimensional elastic gel network,37 as illustrated by the reaction equation in Fig. S2a.† The corresponding changes in bonding interactions within the hydrogel are schematically depicted in Fig. S2b and c.† This process is known as di–diol complexation and was confirmed by the presence of asymmetric stretching vibrations from the B–O–C bond at approximately 1420 cm−1 and 1334 cm−1, as observed in Fourier-transform infrared (FTIR) spectroscopy, shown in Fig. S3.†38,39 Ultimately, a soft and elastic hydrogel was successfully formed (Fig. 1e and its inset). For comparison, a control sample of PVA hydrogel was prepared, and it demonstrated opaque and elastic behavior, as presented in Fig. S4a–c.†
Ti3C2Tx-PVA aerogels with a uniform porous structure were produced by directionally freeze-drying Ti3C2Tx-PVA solutions (14 mg cm−2 to 20 mg cm−2). The temperature gradient created between the copper plate and the Teflon mold facilitated the formation of a uniform porous structure (details in the Experimental section) in the XY direction, as shown in Fig. 1f and its inset.40,41 Although the color shifted from white for pristine PVA to light grey and black with increasing MXene content (Fig. S5a–e†), the overall porosity and long-range order remained constant, as shown in Fig. S6a–d.†
The Ti3C2Tx-PVA compact films (Fig. S7a–e†) were fabricated by vacuum-filtering Ti3C2Tx-PVA solutions, resulting in a dense and nonporous structure (Fig. 1g and Fig. S8a–d†). Unlike the optically transparent PVA films, the Ti3C2Tx-PVA films appeared opaque (Fig. S7a–e†). For comparison, pristine Ti3C2Tx aerogels and compact films were also fabricated from Ti3C2Tx dispersions (Fig. 1h and i). All three Ti3C2Tx-PVA composite configurations exhibited very low density and among them, the aerogels had the lowest density, as low as 0.10 g cm−3 (Table S1†).
The XRD analysis of the Ti3C2Tx-PVA aerogel and compact film revealed the (002) peak characteristic of Ti3C2Tx MXene sheets, along with a broad halo peak at approximately 20°, corresponding to the amorphous PVA peak (Fig. 1b). A slight increase in the d-spacing was observed compared with the Ti3C2Tx film, which can be attributed to the intercalation of PVA into the galleries of MXene sheets. For instance, the Ti3C2Tx-PVA compact film exhibited an increased d-spacing of 1.56 nm compared with 1.22 nm in the Ti3C2Tx film. In contrast, an opposite trend was detected in the Ti3C2Tx-PVA aerogel, where the d-spacing decreases to 1.85 nm from 1.65 nm. The reduction in d-spacing can be attributed to the increased compactness of the Ti3C2Tx-PVA aerogel (inset of Fig. 1f) compared to that of the Ti3C2Tx aerogel (inset of Fig. 1h). This increased compactness is likely driven by the interfacial interactions between the hydrophilic PVA and Ti3C2Tx, which promote the formation of hydrogen bonds.42 Additionally, the presence of anions in the system may further facilitate hydrogen bonding between Ti3C2Tx and PVA, leading to a reduction in interlayer spacing (Fig. 1b, green spectra).43 Note that an XRD analysis of the Ti3C2Tx-PVA hydrogels was not feasible on the Bruker D8 XRD instrument used in this study.
Fig. 2c shows the compression resistance of the Ti3C2Tx-PVA aerogel with a Ti3C2Tx areal density of 20 g cm−2; it supported more than 1500 times its own weight without disintegrating under 30% compression. The compressive stress–strain responses of neat PVA and Ti3C2Tx-PVA aerogels are shown in Fig. 2d. Each aerogel was compressed at a displacement rate of 1.5 mm min−1 up to 50% strain. For the PVA aerogel, the stress barely increased until 20% strain and then gradually rose to 129 kPa at 50% strain.49 In contrast, the Ti3C2Tx aerogel exhibited a negligible stress response to the applied strain, indicating complete collapse under even minimal compressive strain due to its brittleness. In the Ti3C2Tx-PVA aerogels, the compressive stress increased linearly without collapse. The Ti3C2Tx-PVA aerogel at 14 mg cm−2 areal density achieved the highest compressive strength of 215 kPa, approximately 200 times higher than that of the Ti3C2Tx aerogel and 50% greater than that of the PVA aerogel. However, at a higher Ti3C2Tx areal density (20 mg cm−2), the aerogel's compression stress decreased to 114 kPa. The initial compressive moduli of Ti3C2Tx-PVA aerogels at 14 mg cm−2 and 20 mg cm−2 increased by nearly 1000-fold (63 kPa) and 400-fold (24 kPa), respectively, compared with the Ti3C2Tx aerogel (0.06 kPa) (Table S1†). Additionally, a similar trend was observed in the recovery response after removing compressive stress. The Ti3C2Tx aerogel exhibited negligible strain recovery, almost 1%, showing poor resilience as it collapsed entirely under compression. In contrast, the PVA aerogel demonstrated a 56% strain recovery, reflecting moderate resilience. The Ti3C2Tx-PVA aerogels exhibited higher strain recovery, with around 79% and 73% for areal densities of 14 mg cm−2 and 20 mg cm−2, respectively (Fig. S9†). This indicates significantly improved resilience, attributed to the enhanced ability of Ti3C2Tx-PVA aerogels to recover from compression without permanent deformation. The strain recovery was calculated based on the changes in the aerogel thickness before and after compression, as illustrated in Fig. S10.†
The PVA compact film exhibited substantial elongation at break (110%), with a fracture strength of 31 MPa and Young's modulus of 1.6 GPa. In contrast, the Ti3C2Tx compact film demonstrated brittle behavior, showing only 0.6% elongation at break, a fracture strength of 29 MPa, and a notably high modulus of 9.2 GPa. Incorporating a small amount of Ti3C2Tx (14 mg cm−2) into the PVA matrix initially enhanced the mechanical properties of the Ti3C2Tx-PVA compact film, yielding a maximum fracture strength of 55 MPa almost twice that of the Ti3C2Tx film (Fig. 2e). This enhancement is attributed to strong hydrogen-bonding interactions between Ti3C2Tx and PVA, which promote efficient load transfer and increase the mechanical strength.50 However, at a higher Ti3C2Tx areal density (20 mg cm−2), the ductility decreased due to disruption of the PVA matrix, which impaired efficient load transfer and resulted in brittle behavior. Consequently, the fracture stress and strain decreased to 32 MPa and 14%, respectively (Fig. 2e). Meanwhile, the Young's modulus consistently increased with the Ti3C2Tx content, reaching 2.1 GPa at 14 mg cm−2 and 6.1 GPa at 20 mg cm−2.
These results underscore the distinct mechanical properties of the Ti3C2Tx-PVA composites by structural form. The hydrogel demonstrated outstanding elongation (650%), the aerogel offered enhanced load-bearing capacity with a maximum compressive strength of 215 kPa, and the compact film achieved a high modulus (6.1 GPa) and good fracture strength (55 MPa). Overall, incorporating the PVA matrix significantly improved the mechanical performance of the Ti3C2Tx-PVA composites in each form compared with their pristine Ti3C2Tx MXene counterparts.
In the Ti3C2Tx dispersions, the reduction in impedance and increase in ionic conductivity (Fig. 3d) are attributed to the formation of a continuous electron-transport network by the highly conductive MXene sheets (Fig. 3e and f).51 In contrast, gelation of the PVA matrix plays a pivotal role in the Ti3C2Tx-PVA hydrogels. The slight increase in impedance with increasing Ti3C2Tx areal density in these hydrogels can be attributed to mobile sodium ions (Na+) from sodium borate, which can coagulate in Ti3C2Tx sheets (Fig. S12a and b†) and disrupt the conduction pathway.52 Additionally, Na+ ions can become trapped between Ti3C2Tx layers, further hindering electron transport (Fig. 3g and h).52,53 Nonetheless, the Ti3C2Tx-PVA hydrogels maintained relatively high ionic conductivity, likely due to the presence of ionic species within the hydrogel that facilitate ion transport.
Dielectric properties also play a significant role in EMI shielding. The real part of the permittivity (ε′) of the Ti3C2Tx-PVA hydrogels measured in the X-band range (8.2–12.4 GHz) increases along with the Ti3C2Tx areal density (Fig. 3c). This increase is primarily attributed to enhanced interfacial polarization between the Ti3C2Tx sheets and PVA chains.54 Additionally, polar water molecules can contribute to dielectric polarization under an electric field of electromagnetic waves.31 Dielectric polarization is frequency-dependent, so ε′ decreases with increasing frequency because the dipoles and ions have less time to align with the alternating field at high frequency.55
In the Ti3C2Tx-PVA aerogel and compact film, the electrical conductivity increased as the Ti3C2Tx content increased (Fig. 3b). Although PVA is inherently insulating (∼1 × 10−13 S cm−1), the high-crystallinity Ti3C2Tx MXene is highly conductive (∼1.0 × 104 S cm−1). Consequently, the aerogel reached a maximum conductivity of 0.002 S cm−1 at the highest MXene areal density of 20 mg cm−2, and the compact film attained a maximum conductivity of 0.032 S cm−1. This conductivity improvement is attributed to the formation of a percolative network of conductive MXene sheets within the insulating PVA matrix, resulting in continuous conductive pathways.
The Ti3C2Tx-PVA compact film achieved significantly higher conductivity than the aerogel at the same MXene areal density, primarily due to its dense structure. Ti3C2Tx sheets stack tightly, creating an interconnected conductive network structure that follows power-law behavior in electrical conductivity. In contrast, the aerogel's porous structure introduces large air gaps that impede electron transport, limiting its overall electrical conductivity. A similar trend was observed in Ti3C2Tx compact film and aerogel, with compact film exhibiting higher electrical conductivity (10000 S cm−1) compared to aerogel (1.1 S cm−1) as shown in Fig. 3d and Table S1.†
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Fig. 4 (a) Schematic illustration of the customized experimental setup used to measure the EMI total shielding effectiveness (SET) of the hydrogels and dispersions, using a holder with a transparent polyimide film support. The EMI SET of the (b) Ti3C2Tx-PVA hydrogels, (c) Ti3C2Tx-PVA aerogels, and (d) Ti3C2Tx-PVA compact films as a function of Ti3C2Tx areal density. (e) The EMI SET, (f) SER, and (g) SEA values measured at 10.3 GHz as a function of Ti3C2Tx areal density. (h) The EMI SET, (i) SER, and (j) SEA values at a fixed Ti3C2Tx areal density of 20 mg cm−1 for Ti3C2Tx-PVA hydrogels, aerogels, and films. Notably, the hydrogel and aerogel have the same thickness of 5 mm, whereas the compact film has a thickness of approximately 150 μm, as listed in Table S1.† |
The total EMI (SET) comprises both the reflection contribution (SER) and the absorption contribution (SEA), as shown in Fig. 4f and Fig. 4g, respectively. As the Ti3C2Tx areal density increased, the Ti3C2Tx-PVA hydrogel showed a moderate increase in SER from 4.95 dB (14 mg cm−2) to 6.95 dB (20 mg cm−2). The Ti3C2Tx-PVA aerogel displayed a minimal increase from 0.15 dB (14 mg cm−2) to 2.12 dB (20 mg cm−2). In contrast, the Ti3C2Tx-PVA compact film exhibited a sharp increase in SER, from 0.89 dB (14 mg cm−2) to 8.23 dB (17 mg cm−2), ultimately reaching 20 dB (20 mg cm−2). Fig. 4g shows that SEA is the dominant contributor to SET, following a trend similar to that of SET: the hydrogel achieved the highest EMI SEA, followed by the film and then the aerogel. Specifically, the Ti3C2Tx-PVA hydrogel showed a gradual increase in SEA from 36.2 dB to 59.52 (14–20 mg cm−2); the aerogel SEA remained low (0.48–1.39 dB) until 17 mg cm−2 and then jumped to 17.5 dB; the film SEA steadily increased from 1.6 dB to 26.5 dB.
At a fixed areal density of 20 mg cm−2 (Fig. 4h–j), the Ti3C2Tx-PVA hydrogel exhibited the highest EMI SET, followed by the compact film and then the aerogel. SEA followed the same trend as SET, with the hydrogel showing the highest value (Fig. 4j). Meanwhile, the SER values differed only slightly among the samples, with the compact film exhibiting the highest result (Fig. 4i).
The superior EMI shielding of the Ti3C2Tx-PVA hydrogel arises from several factors. First, the dipolar nature of water molecules promotes polarization loss. Because a water molecule has an electronegative oxygen atom (partial negative charge) and two hydrogen atoms (partial positive charge), it aligns and rotates in response to an external electric field, leading to strong attenuation of EM wave energy.31 Second, the uniform distribution of Ti3C2Tx sheets in the insulating PVA matrix facilitates the formation of microcapacitors in the hydrogel, where MXene sheets act as electrodes, inducing significant capacitive loss under the AC electric field of EM waves.56 Third, mobile ions (e.g., Na+ and Br−) generate an internally induced electric field that leads to ionic conductivity losses and can partially depolarize water molecules, further enhancing microwave absorption.57–59 As a result, the EMI shielding performance of the Ti3C2Tx-PVA hydrogel improved as the Ti3C2Tx areal density increased and surpassed that of the Ti3C2Tx dispersions at the same Ti3C2Tx areal density (Fig. S15a–c†). For instance, at 20 mg cm−2, the Ti3C2Tx dispersion achieved an SET of 48.6 dB (SEA 40.9 dB), whereas the Ti3C2Tx-PVA hydrogel attained an SET of 66.5 dB (SEA 59.5 dB), even though the dispersion exhibited a slightly higher SER (7.7 dB). Without PVA, the Ti3C2Tx dispersion lacks the microcapacitor effect, resulting in a lower absorption coefficient (A = 0.18) and a higher reflection coefficient (R = 0.82) than those of the Ti3C2Tx-PVA hydrogel (A = 0.24, R = 0.76) (Fig. 5a and b).
The EMI shielding performance of the Ti3C2Tx-PVA aerogel is primarily based on a conductive Ti3C2Tx network embedded within a porous PVA matrix. Although the incorporation of PVA reduced the electrical conductivity from 0.85–1.0 S cm−1 in the pristine Ti3C2Tx aerogel to 2.63 × 10−8–1.98 × 10 S cm−1 in the Ti3C2Tx-PVA aerogel, it aided in impedance matching with free space, increasing EM wave penetration and absorption. Additionally, the conductive Ti3C2Tx network supplied abundant free electrons for reflection, and the porous structure fostered multiple internal reflections by creating numerous interfaces. As a result, although the Ti3C2Tx-PVA aerogel exhibited a slightly lower SET than the pristine Ti3C2Tx aerogel at the same Ti3C2Tx areal density (Fig. S15d–f†), it was more absorption-dominated (A ∼0.73, R ∼0.26 in Fig. 5a) than the pristine Ti3C2Tx aerogel (A ∼0.22, R ∼0.78 in Fig. 5b) at the same areal density of 20 mg cm−2.
In contrast, the Ti3C2Tx-PVA compact film primarily benefited from the dense conductive Ti3C2Tx network within the PVA matrix, offering substantial attenuation of incident EM waves via reflection. The high impedance mismatch with free space limited the penetration of EM waves, and any wave that did penetrate was subsequently absorbed within the layered Ti3C2Tx-PVA structure, with reflection via the dominant EMI shielding mechanism, as demonstrated by the high reflection coefficient (R = 0.89) and low absorption coefficient (A = 0.11) at 20 mg cm−2 (Fig. 5a). As with the Ti3C2Tx-PVA aerogel, the presence of insulating PVA reduced the conductivity of the Ti3C2Tx-PVA compact film compared with the pristine Ti3C2Tx film. Because of its high conductivity, the pristine Ti3C2Tx film showed superior EMI shielding in the X-band (SET = 70 dB, SER = 17.5 dB, SEA = 52.5 dB) at 20 mg cm−2 (Fig. S15g–i†), along with the highest reflection coefficient (R = 0.99) and lowest absorption coefficient (A = 0.01) among all configurations (Fig. 5a and b).
Fig. 6a–c illustrate the dominant shielding mechanisms for Ti3C2Tx-PVA hydrogels, aerogels, and films, respectively, with Ti3C2Tx areal densities of 14–20 mg cm−2. In the hydrogel (Fig. 6a), most incident EM waves are reflected, and those that penetrate are strongly attenuated by the robust dielectric polarization of water molecules and ions, internally induced electric fields, and efficient charge conduction through the Ti3C2Tx-PVA hydrogel, yielding the highest shielding performance. In contrast, the porous structure of the Ti3C2Tx-PVA aerogel (Fig. 6b) and its lower electrical conductivity reduced reflection but enhanced internal scattering, leading to greater absorption with minimal reflection and transmission. Meanwhile, the Ti3C2Tx-PVA compact film (Fig. 6c) exhibits reflection-dominated shielding due to its dense structure and high electrical conductivity, yielding the highest absolute specific shielding (Fig. S16†).
![]() | (1) |
The permittivity of the dispersions and hydrogels was calculated in a similar manner, with calibration performed based on air, short-circuit, and deionized water measurements at room temperature prior to the actual measurements. The complex relative permittivity (εr) is given by eqn (2).
εr = ε′ − jε′′ | (2) |
The scattering parameters (Smn), including S11, S22, S21, and S12, were obtained using the two-port VNA. The subscripts m and n represent the transmitting and receiving ports, respectively. R and T can be calculated using the respective eqn (4) and (5).
![]() | (3) |
![]() | (4) |
![]() | (5) |
![]() | (6) |
![]() | (7) |
![]() | (8) |
The total shielding effectiveness (SET) of a material at a given single impedance was calculated as the combined effects of reflection (SER) and absorption (SEA).
SET = SER + SEA | (9) |
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d5nr00450k |
This journal is © The Royal Society of Chemistry 2025 |