Carbon-Based MOF Derivatives: Emerging Efficient Electromagnetic Wave Absorption Agents

Highlights In terms of components and structures, this review summarizes progresses and highlights strategies of MOF derivatives for efficient electromagnetic wave absorption. We also systematically delineate relevant theories and points out the prospects and current challenges.


Introduction
Owing to the extensive utilization of the communication devices working in GHz, the electromagnetic environment has been deteriorating. The redundant electromagnetic waves emitted from various electronic facilities can seriously threaten the physical health and disturb normal equipment operation [1,2]. To solve these problems, electromagnetic wave (EMW) absorption materials are highly desired [3,4]. Ideal EMW absorption materials should possess the characteristics of light weight, strong absorption, broad bandwidth, and thin matching thickness to meet diverse application requirements [5,6]. Thus, various EMW absorption materials have been widely explored currently. Nevertheless, some challenges still exist, such as the insufficient effective absorption abilities in S band and the deficient research about K band. More significantly, the thickness of absorbers is relatively thick and the effective absorption bandwidth (EAB) is still narrow on the whole view, which is not conductive enough to the practical application.
In terms of EMW attenuation mechanisms, EMW absorption materials can be generally divided into conductive materials, dielectric materials, and magnetic materials [7][8][9]. Typical conductive absorption materials are mainly carbonous, such as graphene, carbon nanotubes (CNTs), and carbon nanofibers [10][11][12][13]. And they exhibit obvious advantages in low density and high stability [14,15]. Nevertheless, the impedance mismatching impedes their further application [16]. Inorganic ceramics and semiconductors are the representatives of dielectric materials, possessing a remarkable superiority in thermal stability [17][18][19]. However, low attenuation capacity restricts the enhancement of absorption intensity. Magnetic metal and ferrites as typical magnetic absorption substances are frequently used to reduce the matching thickness [20][21][22]. However, the high density and inherent impedance mismatching as their inevitable shortage limits their further applications. Therefore, to overcome the weakness of single-component EMW absorption materials, the design and configuration of multi-component have been becoming the inevitable choice.
Metal-organic frameworks (MOFs), as a kind of novel multi-functional materials, were constructed by metallic ion and organic ligand bonded though coordination [23][24][25]. The common MOFs contain Isoreticular Metal-Organic Framework (IRMOF), zeolitic imidazolate framework (ZIF), Coordination Pillared-Layer (CPL), Materials of Institute Lavoisier (MIL), Porous Coordination Network (PCN), University of Oslo (UiO), and so on [26][27][28][29][30][31][32][33]. Due to their big specific surface area, high porosity, and special periodic structure, in recent years, MOFs have jumped into the limelight and been widely applied in gas separation, medicines, catalysis, and so on [34][35][36][37][38]. Besides, taking MOFs as building blocks to develop porous carbon-based MOF derivatives with diversiform features such as controllable defects, adjustable structures, and alterable compositions has also drawn attention from researchers who devoted to EMW absorption [39,40]. As shown in Fig. 1, since the first reported in 2015, MOF derivatives for EMW absorption have a rapid development in the following years. The nature of carbon-based MOF derivatives can be elaborately designed by modulating the cabonization condition and collocating the metallic ion and organic ligand in precursors [41]. Simultaneously, combining MOF derivatives with other functional materials offers more opportunities [42].
Compared with other absorbers, on the one hand, carbonbased MOF derivatives possess high conductivity, facilitating strong conductive loss. With carbonization at different temperature, the degree of graphitization can be flexibly adjusted, which would further regulate the conductive loss. And the terminal groups of carbon matrix can induce the dipole polarization. On the other hand, carbon-based MOF derivatives possess a prominent characteristic of high dispersion, by which the metal oxide, metal nanoparticles, or other components can be highly dispersed into carbon matrix to create large heterogeneous phase interfaces to significantly enhance the interfacial polarization loss and optimize the impedance matching conditions. Moreover, carbonous components are endowed with low density, high mechanical strength, and high stability, which is beneficial to decrease the density of nanocomposite and improve environmental adaptability. All these advantages of carbon-based MOF derivatives are extremely attractive for the exploration of ideal EMW absorption materials. And so many relevant reports have demonstrated that they can be deservedly regarded as the most promising choice.
In this review, we comprehensively summarized the theory of EMW absorption mechanism and the recent researches about carbon-based MOF derivatives as EMW absorption materials. As shown in Fig. 2, in terms of the composition variations, carbon-based MOF derivatives used for EMW absorption can be classified into four categories: unary carbonous materials, ceramic/carbon binary composites, magnetic NPs/carbon binary composites, and magnetic NPs/ceramic/carbon ternary composites. And the bottom of the picture is the corresponding constituent elements of the aforementioned nanocomposites. The specific performances, internal mechanisms and application scenarios were thoroughly illustrated by typical examples. Finally, the current challenges for carbon-based MOF-derived EMW absorption materials are pointed out, and the perspectives on future development directions are expected.

Macroscopical Description
As shown in Fig. 3a, the incident EMWs radiated onto the material surface can be divided into three parts: the reflected, the dissipated, and the transmitted [54,55]. On the basis of the plane wave model, all transmitted waves will be reflected   [56]. In this condition, EMW absorption materials require the reflected waves are reduced and the dissipated energy is enhanced as much as possible. The most essential two parameters to determine the EMW absorption performance are the impedance matching condition and attenuation capacity [57]. Impedance matching condition adjudicates whether the incident waves can enter into the absorber. An ideal impedance matching condition means the incident waves can totally enter into the absorber and no waves will be reflected on the air-absorber surface. The attenuation capacity decides whether the EMWs inside the absorber can be dissipated. Excellent attenuation capacity requires a strong energy conversion and dissipation ability, which means the EMW energy can be transformed into thermal energy in various methods. Only if both the two preconditions are achieved, a good EMW absorption performance can be obtained.

Performance Evaluation
All of the absorption performances are finally determined by the electromagnetic parameters: complex permittivity (ε r = ε′ − jε″) and complex permeability (μ r = μ′ − jμ″), whose real part stands for energy storage and imaginary part represents energy dissipation [58]. Usually, the EMW absorption performances are calculated on the basis of transmission line theory [59]. And the reflection loss (RL) was applied to evaluate the EMW absorption performances. A smaller RL value means lesser reflected waves and stronger absorption intensity. And the RL value of − 10 dB refers to 90% of incident EMWs can be converted into thermal energy. Correspondingly, the frequency range in which RL value is smaller than − 10 dB stands for the effective absorption bandwidth [60]. On the basis of transmission line theory, the specific calculation process from electromagnetic parameters to RL is expressed as the followed formulas [61,62]: where f is the frequency, d is the matching thickness, c is the velocity of light in vacuum, and Z 0 and Z in are the free space impedance and the input impedance of absorbers, respectively.
In some cases, the RL is replaced by the reflection coefficient (R) to directly evaluate the EMW absorption capacities [63]. Similarly, a smaller R value stands for stronger absorption ability, and the R value of the EMW black body is zero.

Impedance Matching
To achieve a strong absorption intensity (a minimum of RL or R value), according to the equations mentioned above, the value of (Z in − Z 0 ) should be equal to 0, namely Z in /Z 0 = 1 [64]. This result tells us that an excellent impedance matching condition requires the input impedance of absorbers (Z in ) is as close to free space impedance (Z 0 ) as possible. Considering that Z in and Z 0 cannot maintain consistent in both real and imaginary part, in some calculation, the criterion of |Z in /Z 0 |= 1 is employed to displace Z in /Z 0 = 1. Thus, when the value of |Z in /Z 0 | is equal to 1, the absorber can obtain a perfect impedance matching condition to make sure the incident EMWs can enter into the absorber as much as possible.

3
The criterion of |Z in /Z 0 | was widely applied by virtue of its convenience and universality. But in some cases, even if the value of |Z in /Z 0 | is equal to 1, the values of Z in and Z 0 are far apart, which would result in the criterion ineffective. |Δ| is a relatively complex criterion of impedance matching. Nevertheless, during the derivation of the |Δ|, the values of Z in and Z 0 were considered approximate, which would avoid the criteria losing efficacy.

Interference Cancellation Principle
To some extent, the concepts of interference cancellation principle and impedance matching overlap and complement with each other. The impedance matching condition is based on equivalent circuit theories while the interference cancellation principle focuses on the specific and microcosmic behaviors of EMWs. Both the two concepts delineate whether or not the electromagnetic wave can enter the absorber and no reflected waves. If the EMWs reflected from air-absorber interface are out of phase by 180° to those reflected from absorber-backboard interface, the destructive interference leads to the disappearance of reflected waves, which seems like all EMWs are trapped inside the absorber to form standing waves [67,68]. This concept is also called quarter-wavelength model, by which we can calculate the theoretical optimum thickness for a given material at any frequency [69,70]: where d m stands for the matching thickness; f m is the matching frequency. On many reports, this equation is used to compare whether experiment matching thickness is consistent with the theoretical matching thickness, further to expound whether the performance results accord with the interference cancellation principle.

Attenuation Capacity
The attenuation mechanisms of EMW absorption materials are divided into two aspects: dielectric loss and magnetic loss (Fig. 3b). And the dielectric loss mainly includes the conductive loss and polarization-relaxation loss. Generally, the dielectric loss tangent (tanδ E = ε″/ε′) and magnetic loss tangent (tanδ M = μ″/μ′) are used to assess the capacity of dielectric loss and magnetic loss [71,72].
Conductive loss refers to that the alternating electric field induces microcurrent to convert electric field energy into heat. Specifically, for highly conductive materials, when EMWs enter into the interior of the absorber, the electrons and holes will move under the excitation of electric field force to form the electric currents. Due to the existence of resistance, the currents will generate heat to consume electrical energy, by which finally the attenuation of EMW is realized. According to the free electron theory, for highly conductive materials the conductivity (σ) can directly affect the imaginary part of permittivity (ε″) [73]: where ε 0 is the permittivity of vacuum. Thus, a larger conductivity will result in a higher ε″ value, which can enhance the conductive loss.
Polarization-relaxation loss is originated from the lossy polarization-relaxation process. Specifically, if the polarization-relaxation process can keep up with the changes of lowfrequency alternating electric field, this process is lossless. In high frequency range, if the polarization-relaxation process cannot catch up with the changes of alternating electric field, this process will be lossy. Typical, polarization-relaxation processes include the interfacial polarization-relaxation, dipole polarization-relaxation, ionic polarization-relaxation, and electronic polarization-relaxation [74][75][76]. The interfacial polarization-relaxation is attributed to the heterogeneous charge distribution in defects, heterojunctions, and phase interfaces [77]. The dipole polarization-relaxation is mainly ascribed to the deflection or displacement of dipoles such as polar molecules and functional groups under the induction of alternating [78,79]. However, ionic and electronic polarization-relaxation usually take place at much higher frequency (10 3 -10 6 GHz), so that they are always excluded [80,81]. According to the Debye theory, if the conductivity is negligible, for a polarization-relaxation process, the complex permittivity will satisfy the following equations [82][83][84]: where ε ∞ represents the permittivity at high frequency limit; ε s refers to the static permittivity; and τ is the polarization-relaxation time.
And subsequently the followed equation can be deduced by combing the above two equations: In mathematics, there is a semicircle whose radius is s − ∞ 2 and center is ( s + ∞ 2 , 0) on the ε′-ε″ curve, which is usually called Cole-Cole plot [85]. And each semicircle represents one polarization-relaxation process.
However, in the actual analysis, the Cole-Cole plot can hardly delineate a standard semicircle due to the conductivity. Thus, Eq. (11) should be modified to Eq. (13) if the conductivity is considered [86].
Thus, Eq. 12 could be evolved into Eq. 14 as followed: The center coordinate was changed into ( s + ∞ 2 , 0 ). And this is a moving point, which results in the right end of semicircles turning to the upper right like a "tail" [52]. Thus, on Cole-Cole plots, the slope of the tail can be used to estimate the effect of conductive loss. Magnetic loss is mainly originated from natural resonance, exchange resonance, eddy current loss, magnetic hysteresis, and domain wall resonance [87,88]. The magnetic hysteresis is negligible in EMW absorption analysis because the weak field is not strong enough to induce irreversible magnetization. The domain wall resonance usually occurs at much lower frequency rather than the discussed GHz frequency range [89]. To evaluate the contribution of eddy current, the criterion of C 0 is usually utilized.
where μ 0 is the permeability of the vacuum and d is the thickness of absorber. The value of C 0 will express as a constant, if the magnetic loss is mainly originated from eddy current loss [90,91].
The natural resonances result from the ferromagnet maximally absorb the energy of alternating magnetic fields, which are usually regarded as the most important magnetic attenuation mechanism in high frequency. The essence of natural resonances is the damping motion of the magnetic moment around the magnetic anisotropy field. The natural resonances effect can be described as the following equations [92][93][94]: where f r is the natural resonance frequency; γ is the gyromagnetic ratio; H α is the anisotropy energy; K 1 is the anisotropy coefficient; μ 0 is the permeability of free space; and M s is the saturation magnetization. Thus, the natural resonance frequency is significantly decided by the anisotropy energy, and further affected by shape anisotropy, magneto-crystalline anisotropy, coercivity, particle size, and so on. In the meantime, Snoek's limit restricts the application of the magnetic materials in higher frequency range. The Snoek's limit can be described as followed equation for isotropic ferromagnetic materials [95][96][97]: where γM s represents the Snoek constant; and γ and M s represent gyromagnetic ratio and saturation magnetization, respectively; μ i is the initial permeability; and f r is the natural resonance frequency. For a given ferromagnetic material, the γ is a constant and M s has a ceiling. Thus, if certain methods are adopted to make f r shift to higher frequency range, the μ i will be inevitably decreased to result in the reduction of magnetic loss. Hence, the Snoek's limit restricts the application of ferromagnetic materials in high frequency. The considerable methods to break the Snoek's limit are choosing soft magnetic metals with higher M s values such as Fe, Co, Ni, and relevant alloys or regulating the anisotropic equivalent field such as flak particle design.
In the summary, for a EMW absorption material, all above-mentioned loss capacities can be synthetically evaluated by attenuation constant (α) [98,99].
A larger attenuation constant reflected a stronger attenuation capacity. Thus, only in the view of attenuation capacity, according to the equation, ε″ and μ″ values should be as large as possible to obtain a maximized attenuation constant.
However, if the impedance matching condition is also considered, the ε″ and μ″ values should be controlled in an appropriate range.

Carbon-Based MOF Derivatives for EMW Absorption Applications
In the whole view, carbon-based MOF derivatives can provide a flexible method to combine dielectric and magnetic components, and the features of big surface areas, tunable compositions, and high porosity make them highly desired as more efficient EMW absorption applications. Benefiting from the frame structures of MOFs, during the pyrolysis process of carbon-based MOF derivatives, the metallic ions can directly be transformed into metallic oxide or metals to combine with carbon matrix, which avoids extra complex reduction process. The oxide ceramics can promote the resistance to corrosion and the magnetic metals can provide magnetic loss capacity. Thus, the collocation with dielectric or magnetic components can effectively supplement the performance shortages of carbon materials. On the other side, the low-density carbonous component not only possesses adequate conductivity to enhance the conductive loss, but also can effectively reduce the quality of absorption materials. The abundant surface terminations such as -OH and C = O in the carbon substrate can significantly strengthen the dipole polarization [100]. Besides, on the one hand, the high surface and pore volume features of carbon provide more active sites for multiple scattering dissipations. On the other hand, according to Maxwell-Wagner theory [101]: where ε 1 and ε 2 represent permittivity in the solid and gas state, respectively; p is the volume fraction of gas state in the porous materials, and the porosity can significantly regulate the permittivity to optimize the impedance matching condition. Therefore, owing to the remarkable chemical and physical properties mentioned above, the carbon-based MOF derivatives epitomize a lighting promising application for highefficient EMW absorption materials to deal with the electromagnetic environment deterioration. In recent five years, studies using carbon-based MOF derivatives as EMW absorption materials have witnessed rapid development as shown in (20) MG eff = 1 Table 1. And excluding the under-represented unary carbonous MOF derivatives, the average filling ratios, average matching thickness, average matching frequency (f m ), and average bandwidth value for ceramic/carbon, magnetic NPs/carbon, and magnetic NPs/ceramic/carbon MOF derivatives were calculated, and the results are shown in Table 2. According to the comparison, we could find the magnetic NPs/carbon binary MOF derivatives possessed a much lower average filling ratio and a slightly thinner average matching thickness, indicating their advantages in density decrease of absorbers. The magnetic NPs/ceramic/carbon ternary MOF derivatives were equipped with a relatively lower matching frequency, implying they may get an upper hand in low-frequency absorption. Besides, the ternary MOF derivatives obtained a significant enhancement in absorption bandwidth performance. However, we could also notice that a comprehensive performance advantage is hard to achieve, and much exploration of highperformance EMW absorption materials remains to be done.

Unary Carbonous MOF Derivatives
For carbon-based MOF derivatives, the content and conductivity of carbon matrix play the particularly important roles in EMW absorption [157]. The introduction of other functional components would increase the density of the composites, which goes against the original intention of developing lightweight EMW absorption materials. Therefore, some researchers open a new pathway by designing unary carbonous MOF derivatives.
Liu et al. constructed a unique structure, hollow graphite spheres embedded in porous amorphous carbon matrices (S-GA) by etching Fe 3 Ni/C composites derived from Fe 2 Ni MIL-88 nanorods (Fig. 4a-c) [52]. The RL value ( Fig. 4g) reached − 46.2 dB at 10.44 GHz with a matching thickness of 2.65 mm. And the maximum EAB was achieved in 12.8-18.0 GHz with an ultra-low filling ratio of 10 wt%. The satisfying filling ratio came from the high conductive loss of the graphite carbon (Fig. 4d, e). And the polarization loss ( Fig. 4f) between the graphite shells and amorphous carbon matrix also played an auxiliary role in EMW dissipation. Similarly, Xu et al. fabricated a special structure that hollow graphene nanospheres uniformly confined in porous amorphous carbon particles (HGS@PAC) by HF acid corroding the Co/C composites that pyrolyzed from CoZn-MOFs [53]. The

Ceramic/Carbon Binary MOF Derivatives
Metal oxide, carbide, or sulfide such as TiO 2 , ZnO, CuO, ZrO 2 , MgO, and CoS 2 possess high chemical and thermal stability, but the low EMW loss capacity impedes its individual application [43,44,103,107,108,158]. However, if combined with carbon, these ceramic materials can effectively optimize the impedance mismatching caused by over-high conductivity carbon to achieve favorable absorption performances.
TiO 2 and ZnO as typical semiconductive transition metal oxides have been widely used as EMW absorption material because of the appropriate band gap, environmental friendliness, and abundance [159]. Nanoporous TiO 2 /carbon nanocomposites fabricated by the direct pyrolysis of MIL-125(Ti) showed a minimum RL value of − 49.6 dB at the matching thickness of 1.6 mm, corresponding to a broad EAB ZnO/nanoporous carbon/RGO. In the synthesis process, the ZnO/C was obtained by the pyrolysis of ZIF-8, and through hydrothermal method, the target nanocomposite was gained [106]. The nanocomposite delivered a minimum RL value of − 50.5 dB with the thickness of 2.4 mm. And the EAB of 7.4 GHz was achieved at the thickness of 2.6 mm.
Besides, due to its wave-transparent characteristic, CuO is also introduced into EMW absorption materials to optimize the impedance matching. As shown in Fig. 5a-d Owing to better electrical conductivity, metal sulfides, such as CoS 2 , have jumped into the limelight. Yan et al. prepared hollow CoS 2 /N-doped CNTs (N-CNTs) by precarbonization at 350 °C under Ar and H 2 mixture atmosphere and sulfuration with sulfur powder at 300 °C under N 2 atmosphere [109]. Benefitting from improved impedance matching and large specific surface area, the minimum RL value of CoS 2 /N-CNTs could achieve -65 dB and the EAB could reach 6.2 GHz with the thickness of 1.6 mm. Besides, Liu et al. reported carbon cloths@N-doped carbon/CoS 2 by sulfuring carbon cloths@ZIF-67 [110]. The nanocomposite delivered a minimum RL value of -59.6 dB at 2.8 mm and a EAB of 9.2 GHz with the thickness of 2.5 mm.
All these findings indicated that the synergistic contributions between carbon with high conductivity and uniformly Reproduced with permission from Ref. [44]. Copyright © 2016 Royal Society of Chemistry distributed ceramic materials lead to the enhanced EMW absorption performances. However, there are still some issues such as imperfect impedance matching condition. Thus, to further optimize the compositions and constructions of MOF derivatives is still highly desirable to achieve a better EMW absorption performance.

Magnetic NPs/Carbon Binary MOF Derivatives
The attenuation capacity can be easily regulated by the degree of graphitization of carbon [40], however, to achieve a perfect impedance matching condition, the enhancement of permeability is also indispensable [160]. Thus, for carbonbased composites, the introduction of magnetic components will help to achieve a better EMW absorption performance. Magnetic NPs, as typical magnetic components, have always been widely utilized for EMW absorption [139,161]. In the carbon-based MOF derivatives, besides the optimized impedance matching condition, magnetic NPs in the porous carbon can also induce the magnetic loss and agitate the interfacial polarization loss. Furthermore, magnetic NPs can be directly reduced by carbon which can avoid additional reduction step. Thus, MOF-derived magnetic NPs/carbon nanocomposites have been widely applied for EMW absorption.

Simple Magnetic MOF Derivatives
Some mono-magnetic NPs/carbon nanocomposites with simple shape can be obtained by direct pyrolysis of MOFs. For example, as shown in Fig. 6a, b, Lv et al. fabricated porous Co/C nanocomposites by facile thermal decomposition of ZIF-67 [45]. And the RL value (Fig. 6c) Fig. 6 a, [123]. The products exhibited an optimal absorption performance with a minimum RL value of − 44.6 dB at 5.20 GHz, corresponding to a matching thickness of 1.5 mm. Compared with metallic Co, other magnetic NPs have their unique advantages as well. For example, Fe possesses higher saturation magnetization and magnetic damping capacity [162]. Fe 3 O 4 holds a better chemical stability [101]. And Ni is superior in reduction condition simplification [163]. Similarly, as shown in Fig. 6d- Besides, the construction of hollow structures is also utilized for better EMW absorption performances. The structures are believed to enhance the polarization effect and multi-scattering [164,165].
For example, as shown in Fig. 7a, b, Qiu et al. prepared hollow Ni-MOFs precursors by tuning the volume ratio of DMF and H 2 O in solvothermal process, and subsequently, hollow Ni/C microspheres were obtained by pyrolysis [47]. The hollow Ni/C microspheres delivered a maximum RL of − 57.25 dB (Fig. 7c) with the matching thickness of only 1.8 mm and corresponding to an EAB of 5.1 GHz. Figure 7d shows that both the hollow structure and the synergistic effect between carbon and nickel nanoparticles contributed to the EMW absorption performance. Moreover, Wang et al. synthesized honeycomb-like Co/C composites pyrolyzed from specially treated ZIF-67 [122]. In the synthesis process, graphene oxide/PVP composites, as the sacrificial template, contributed to transforming ZIF-67 into hierarchically porous structures. The target products obtained a minimum RL value of − 50.7 dB and an EAB of 4.6 GHz, while the filler loading is as low as 10 wt%. Furthermore, Li et al. prepared hollow Co/C microspheres derived from ZIF-67 through a one-step template synthesis, in which the cetyltrimethylammonium bromide was used as template [116]. The Co/C nanocomposite delivered a minimum RL of − 66.5 dB with the thickness of 1.53 mm at 17.6 GHz. And the EAB could reach 14.3 GHz at the thickness range of 1.0-5.0 mm.
Meanwhile, bi-magnetic NPs/carbon nanocomposites could obtain by the one-step pyrolysis of MOF, which could further enhance the magnetic loss. As shown in Fig. 8 Fig. 7 a, b Schematic illustration of fabrication and TEM images of Ni/C composites. c RL curves and d schematic illustration of the possible EMW absorption mechanism of Ni/C composites. Reproduced with permission from Ref. [47]. Copyright © 2020 Elsevier BV

Magnetic MOF Derivatives Combined with Additional Magnetic NPs
The above reports that verified the introduction of magnetic NPs help to optimize impedance matching conditions to obtain a much thinner thickness. However, the simple preparation process, onefold structures, and fixed proportion limit the further application of this kind of MOF derivatives as high-performance EMW absorption materials.
Considering that the nature of unchangeable component proportion in certain MOFs may restrain the further enhancement of EMW absorption performances, Wang et al. Ref. [139]. Copyright © 2020 Springer embedded extra metallic NPs into the MOF derivatives by special treatment [117]. As shown in Fig. 9, the pre-prepared Co NPs were impregnated dispersed into the framework of ZIF-67, and then, the hybrids were pyrolyzed at different temperatures.

Magnetic MOF Derivatives Combined with Additional Carbon Source
CNTs and graphene possess the properties of low density, good chemical stability, and superior electrical conductivity, which can be applied in EMW absorption as the reinforcement elements. Particularly, as shown in Fig. 10 Recently, due to the heat resistance, 3D interconnected network, and high surface area of melamine foam [166], it has been widely applied in EMW absorption. Combined with MOF, the derivatives exhibited outstanding EMW absorption performance. As depicted in Fig. 11, Gu et al. prepared Co/C composites with 3D porous network structure by deriving melamine foam@ZIF-67 [119]. The porosity and conductivity of the products could facilitate the enhancement of dielectric loss. Attributed to the synergistic effect of dielectric loss and magnetic loss, the minimum RL value could achieve − 59.82 dB. Moreover, benefited from the enhanced thermal conduction, thermal convection, and thermal radiation, the nanocomposite showed infrared stealth and heat insulation function. Similarly, Yang et al. synthesized Co/N-CNTs/C sponge composite derived from melamine-formaldehyde sponge@ZIF-67 as well. The minimum RL value could reach − 51.2 dB and the EAB could up to 4.1 GHz at the thickness of 2.2 mm [120]. Yang et al. reported hierarchical CNT/Co/C fiber derived from ZIF-67/cotton [121]. Due to the hollow fibrous structure and multiple loss mechanism, the nanocomposite exhibited a minimum RL value of − 53.5 dB at 7.8 GHz with the thickness of 2.9 mm. And the EAB could reach 8.02 GHz at the thickness of 2 mm. Xiong et al. synthesized FeCo/C nanocages by the pyrolysis of Fe 3 O 4 /ZIF-67@wood carbon [135]. Attributed to the enhanced polarization loss, magnetic coupling loss, and hierarchical conductive network, the nanocomposite was endowed with outstanding EMW absorption performance. The minimum RL value could reach − 47.6 dB at 15.7 GHz with the thickness of 1.5 mm, and an EAB of 8.9 GHz achieved at the thickness of 1.96 mm.
Furthermore, Liu et al. reported the sponge-like Co/C nanocomposite, as well as its synthesis procedures, microstructures and absorption performances [118]. By adding extra glucose into Co 3 [HCOO] 6 ·DMF precursors, the carbon contents could be noticeably changed. Meanwhile, with more glucose added, in the final products, the microstructure of extra-introduced carbon on sponge-like matrix changed from fragments to vertically aligned nanoflakes and eventually the sponge-like structure transformed into a thick layer with extra fragments. The optimal sponge-like Co/C nanocomposites exhibited a minimum RL value of − 19.86 dB at the thickness of 1.6 mm with the EAB of 4.12 GHz. This work provided opportunities for designing MOF derivatives with adjustable carbon matrix contents.
All the above enhanced excellent performances are attributed to the enhanced magnetic loss and the hierarchical hollow designs or other special structure, which can optimize the impedance matching and strengthen the dissipation capacity to improve the final EMW absorption performances. Nonetheless, considering the magnetic NPs are easy to be oxidized or corroded, how to improve the environmental adaptability of relevant composites is still a big challenge. Reproduced with permission from Ref. [46]. Copyright © 2017 American Chemical Society

Magnetic NPs/Ceramic/Carbon Ternary MOF Derivatives
As aforementioned, carbon, ceramic, and magnetic NPs exhibit their unique advantages in EMW absorption.
Thus, hybridization of them to construct magnetic NPs/ ceramic/carbon ternary composites may pave the way to further enhance the EMW absorption performance. In this point, how to reasonably collocate compositions and construct microstructures to achieve the synergistic effects is ε' ε''

One-step Synthesis of Ternary MOF Derivatives
In Liao's work, Co/ZnO/C microrods were directly derived from CoZn-MOF by pyrolysis. The minimum RL value could be as low as − 52.6 dB at 12.1 GHz with a matching thickness of 3.0 mm and an EAB of 4.9 GHz [50]. The absorption property is mainly originated from the production of abundant loss pathways, including conductive loss, dielectric loss, and magnetic loss. Liu

Two-step Synthesis of Ternary MOF Derivatives
However, the method of direct treatment for bimetallic MOFs cannot realize the random collocation of components. Thus, extra treating processes such as mixing, dipping, and cladding are widely applied. Liu et al. synthesized the Co/ CuO/C nanocomposite [149]. As shown in Fig. 12a, by thoroughly grinding of Cu-MOFs (Cu 3 (btc) 2 ) in a handful of Co 2+ solutions and subsequent pyrolysis, the Co ions were also encapsulated in the carbon matrix. This method was simple and flexible, and made full use of the porous structures to uniformly disperse Co NPs, which further protect Co NPs from agglomeration. In Fig. 12b, c, the elements of Co and Cu were evenly distributed on the carbon matrix. The composite possessed a minimum RL value (Fig. 12d) [150]. And the particles were also well dispersed (Fig. 12e, f). The composite exhibited a minimum RL value (Fig. 12g) of − 38.1 dB at a thickness of 3.2 mm with only 10 wt% of filler loading. Figure 12h shows the possible absorption mechanism of the above two nanocomposites, and it can be clarified by modified equivalent circuit mode. Zhang

Ternary MOF Derivatives with Special Structures
On this basis, some researchers focused on the design of core-shell structures to achieve performance improvements.  Fig. 13a-c [49]. The special core-shell structure accelerated the multiple reflection and enhanced the dipole and interfacial polarization (Fig. 13d,  e). And the hologram (Fig. 13f) [155]. The nanocomposite displayed a minimum RL value of − 54.02 dB at the loading of 30 wt%, and the EAB could achieve 8.2 GHz with the thickness of 2.2 mm at the loading of 25 wt%. The synergistic effect of abundant heterointerfaces, controlled cavities, and multiple losses facilitated the EMW absorption performance enhancement. Zhang et al. fabricated one-dimensional ZIF-67 loaded SiC through the thermal treatment at 500 °C. The nanocomposite exhibited a minimum RL value of − 40 dB with the thickness of 5 mm [156]. And the EAB could reach 4.84 GHz with the thickness of 2.0 mm. Furthermore, some researchers combined MOF with other current hot materials such as MXenes to get better EMW absorption performances. For example, Liao et al. fabricated Co/TiO 2 -C hybrids which was derived from Ti 3 C 2 T x (MXene)/ZIF-67 [51]. The MXenes possessed 2D multilayered microstructures, which are beneficial for the absorption performances. Thus, the obtained Co/TiO 2 -C hybrids possessed a minimum RL value of − 41.1 dB at 9.0 GHz with a thickness of 3.0 mm, corresponding to an EAB of 3.04 GHz.
Similarly, Deng et al. prepared sandwich-like Fe&TiO 2 @C nanocomposite by the pyrolysis of MXene/ Fe-MOF at H 2 /Ar atmosphere shown in Fig. 14 [145]. The minimum RL value could achieve − 51.8 dB at 6.6 GHz at the thickness of 3 mm and the EAB could reach 6.5 GHz at the thickness of 1.6 mm. Particularly, the interfacial polarization between Fe, TiO 2 , and carbon made a great contribution to the EMW absorption performance.
In brief, compared with the binary MOF derivatives, the introduction of both magnetic and ceramic components into carbon can indeed offer more opportunities to control the impedance matching condition, and make full use of various attenuation pathways. Besides, the ternary nanocomposites exhibited a higher tolerance to the harsh environment and a higher degree of controllability. Thus, the strategy of MOF-derived magnetic NPs/ceramic/carbon nanocomposite was expected as a promising pathway for high-efficiency EMW absorption materials. Nevertheless, after summarizing, we found that the EAB of most above-mentioned MOF derivatives is confirmed to 4 GHz. Thus, how to further expand the EAB performance is still a big challenge.

Conclusions and Prospects
In this review article, we summarized the common theories and the recent progress of carbon-based MOF derivatives in field of EMW absorption. In terms of composition variations, carbon-based MOF derivatives for EMW absorption are classified into four categories: unary carbonous materials, ceramic/carbon binary composites, magnetic NPs/ carbon binary composites, and magnetic NPs/ceramic/carbon ternary composites. Abundant reports verified that the basic features of highly porous structures, high dispersion, strong operability, and readily tunable compositions were exploitable for EMW absorption performance promotion. By regulating the pyrolysis conditions, the graphitization degree and porosity of carbon matrix can be adjusted to control the permittivity, as well as the conductive loss. By selecting the categories of constitute units in MOF precursors, the derivatives with expected compositions can be obtained to optimize the electromagnetic parameters. By constructing more elaborate structures or combining with other functional materials, the impedance matching conditions and attenuation capacities can be further improved. All these superiorities make the carbon-based MOF derivatives highly expected to be new-type high-performance EMW absorption materials. Therein, because of the combination of both magnetic loss and dielectric loss, the further optimized impedance matching, as well as a more flexible preparation method, MOF-derived magnetic NPs/carbon binary composites have been studied most extensively. While attributed to a more controllable composition and structure, and a more optimized EMW performance, the magnetic NPs/ceramic/ carbon ternary composites are becoming more attractive for researchers.
The carbon-based MOF derivatives bring some new blood into the development of EMW absorption materials. But there are still a lot remaining to be done to meet the continuously developing performance requirement. To achieve a more comprehensive property and further expand the multicomponent combination mode, MOF-derived sulfide, phosphide, and nitride composites have been gradually drawing attention. Meanwhile, to promote the adaptability in multiple scenarios, other functions such as the thermal infrared stealth, hydrophobicity, heat insulation, thermal stability, and even wearability are gradually incorporated into the material development goals. Furthermore, combining with theoretical  [145]. Copyright © 2020 Springer calculation to guide the design of EMW absorption materials is also well worth considered. In the overall view, it should be believed that the carbon-based MOFs derivatives can be regarded as one of the most promising materials for highefficiency EMW absorption now and in the future.