3.1. Microstructure and Phase Composition of GdB2C2
Figure 2a,b present the X-ray diffraction (XRD) profiles of the powders immediately post-synthesis, encompassing a temperature spectrum from 900 to 1800 °C. GdB
4, Gd-C and Gd
2O
3 phase was detected at the temperature of 900 °C, besides the residual un-reacted raw materials of GdH
2, B
4C and C. As the synthesis temperature increased to 1100-1300 °C, GdB
2C
2 was formed, while GdB
4 and Gd-C phase was still detected, which implied that the reaction was not completed. When the temperature increased to 1400-1500 °C, GdB
2C
2 was the main phase, just a small amount of GdB
4 impurity phase was detected. While the temperature increased to 1600-1800 °C, a near full pure GdB
2C
2 was obtained.
The Rietveld refinement analysis revealed a progressive enrichment of the GdB
2C
2 phase, escalating from 95.47 wt. % to a pure 100 wt. % as the synthesis temperature was elevated from 1400 to 1700 °C. Concurrently, the presence of the GdB
4 impurity diminished, reducing from 4.53 wt.% to an undetectable level.
Figure 3 shows a representative the XRD pattern (Rietveld refinement) for GdB
2C
2 synthesized at 1500 °C, the resultant reliability factors (R
wp = 9.4 %) affirm the crystallization of GdB
2C
2 in a tetragonal configuration, as depicted in the inset of
Figure 3. The lattice parameters a and c were determined to be approximately 3.78 Å and 7.27 Å, respectively, the data presented in
Table 1 demonstrates the close conformity of this component to the reported lattice parameters of GdB
2C
2[
40]. The lattice parameter findings were corroborated by the complementary TEM analysis, which substantiated the value of c at 7.5612 Å through selected area electron diffraction (SAED) and high-resolution transmission electron microscopy (HR-TEM) imaging of the GdB
2C
2 powders. These observations are presented in
Figure 4a,b. The HR-TEM image elucidates the atomic arrangement along the zone axis, revealing a lattice fringe spacing of 0.37806 nm, which corresponds to the (002) crystal plane of GdB
2C
2. The experimentally determined spacing of the (002) plane, as depicted in
Figure 4b, closely approximates the theoretical value for GdB
2C
2, thereby substantiating the successful synthesis of the GdB
2C
2.
According to the phase evolution analysis of the samples fabricated at various temperatures, the formation process of GdB
2C
2 via the in-situ reaction among the GdH
2, B
4C, and C could be concluded as follow. At the low temperature of 900 °C, GdH
2 did dehydrogenation and decomposed to Gd and H
2 (reaction 1)[
47]. The generated Gd diffused on the surface of B
4C and C and reacted with them to form GdB
4 and Gd-C phase (reaction 2). At the temperature ranging of 1100-1300 °C, the intermediate phase of GdB
4 and Gd-C further reacted with the residual C, the GdB
2C
2 was beginning formed (reaction 3). While the grain size was only several hundred nanometers due to the low synthesis temperature (
Figure 5a). As the temperature increased to 1400 °C, most of the GdB
4 and Gd-C intermediate phases were transformed to GdB
2C
2. Most of the GdB
2C
2 particles were in size of 0.5-1 μm, while there were still some nano-sized particles were observed (
Figure 5b and
Figure 6a). When the temperature increased to 1500 °C, the GdB
2C
2 grains growth along with the nano-sized particles disappeared (
Figure 5c). The mean particle size was around 1.1 μm (
Figure 6b). As the temperature increased to over 1600 °C, almost pure GdB
2C
2 was obtained. At these high temperatures range, the GdB
2C
2 grains growth rapidly. The mean particle size can be increased from 4.76 μm to 16.44 μm as the temperature increased from 1600 to 1800 °C (
Figure 6c–e). The typical layered structure of GdB
2C
2 was observed (
Figure 5d–f). Noted that the GdB
2C
2 grains were preferred growth along the
c plane, as a result the (002) diffraction peak was emphasized as the highest peak for the sample fabricated at 1800 °C (
Figure 2b). This phenomenon was also observed in the single crystal GdB
2C
2[
38].
3.2. Ultra-High Temperature Thermal Stability of GdB2C2 at 2100 °C
Thermal stability at high temperature is a critical property for the applications of UHTCs.
Figure 7a–c shows the morphology of GdB
2C
2 powders (prepared at 1500 °C) after heat treatment at 2100 °C for 20 minutes under argon atmosphere. The obvious grain growth was observed. The maximum length of the GdB
2C
2 can be around 30 μm, which was significantly increased up to 30 times larger than that of the original as-synthesized GdB
2C
2 sample (~1.1 μm). The fracture surface SEM image (
Figure 7c) shows a typical nano-laminated structure similar MAX phases. The laminated fracture, such as delamination, slipping, and kink band was observed (
Figure 7c), which suggests the ductile nature of the GdB
2C
2.
The phase composition of the heat-treated GdB2C2 sample is depicted in Figures 7d,e. Upon heat treatment at 2100 °C, no significant phase transition was observed in GdB2C2. However, careful examination of the post-heat treatment phase reveals an enhancement in the diffraction peaks intensity for (002) and (004) crystallographic planes. Additionally, the characteristic diffraction peaks of the (100) and (002) planes for the heat-treated sample at 2100 °C exhibit a shift towards higher 2 theta angles when contrasted with the as-obtained GdB2C2 powders. This shift implies a contraction in the lattice parameters of the GdB2C2 following the heat treatment at 2100 °C, relative to the as-obtained state.
After undergoing heat treatment, it was observed that the lattice parameters exhibited a decrease, which can be attributed to the volatilization of Gd atoms. Subsequent volatilization of Gd atoms led to the formation of vacancies within the crystal structure, consequently resulting in a reduction in lattice parameters, This interpretation is corroborated by the crystalline framework of GdB
2C
2, which comprises Gd-B and Gd-C bonds with lengths of 276.4 and 272.0 pm, respectively, complemented by shorter B-C bonds (162.2 pm and/or 151.2 pm)[
36]. The bond energies of the Gd-B and Gd-C interactions are notably lower than those of the B-C bonds, rendering the former more susceptible to dissociation at the elevated temperatures of 2100 °C. Consequently, Gd atoms preferentially evaporate from the surface of the material. The evaporation of Gd atoms and the consequent vacancies would naturally result in a contraction of the lattice, as the remaining atoms reposition to maintain the integrity of the crystal structure. In contrast, the highly covalent four-membered and eight-membered B-C rings remain intact and do not undergo evaporation. This observation underscores the pivotal role of these B-C rings in conferring ultra-high temperature thermal stability to GdB
2C
2. A comparable behavior has been noted in the analogous YB
2C
2 materials, further supporting the significance of these covalent B-C ring structures in maintaining the thermal stability of related compounds[
42].
3.3. Electromagnetic Wave Absorption Properties of GdB2C2
The performance of a material in interacting with electromagnetic waves is influenced by multiple factors. The effectiveness of impedance matching dictates the ability of the electromagnetic wave to permeate and be absorbed by the material; poor impedance matching leads to the wave's direct reflection. The complex dielectric constant and complex permeability reflect the material's aptitude for absorbing electromagnetic waves, which in turn determines its efficiency in transforming them into alternative forms of energy[
48].
To investigate the effect of synthesis temperature on the electromagnetic wave absorption (EMWA) characteristics of GdB
2C
2 powders, an assessment was conducted on powders prepared at 1500 °C and 1800 °C. This evaluation included the measurement of their complex permittivity and permeability. The real and imaginary parts of the complex permeability for both temperatures were found to be approximately 1 and 0, respectively, across the frequency range of 2 to 18 GHz. This indicates that the magnetic loss in these materials is negligible and thus not a factor in their EMWA characteristics. Consequently, the EMWA properties of the GdB
2C
2 powders are predominantly governed by the complex permittivity [
49,
50].
The two components of the powder synthesized at 1500 °C and 1800 °C are depicted in
Figure 8, representing the real (ε′) and imaginary (ε′′) parts of the complex permittivity. These components can be expressed using Debye's theory as follows This theoretical approach provides a means to interpret and analyze the dielectric behavior of the materials under investigation[
51]:
Within the context of Debye theory, the dielectric constants ε
0, ε
s, and ε
∞ are respectively indicative of the permittivity in free space, at a static state, and at the frequency of light. The variable ω denotes angular frequency, τ signifies the polarization relaxation tim, while ε
p′′ and ε
c′′ indicate the roles of polarization loss and conductance loss in the imaginary component of the dielectric constant, respectively. Conventionally, ε′ is indicative of the dielectric material's capacity for energy storage, whereas ε′′ reflects the dissipation of dielectric energy.[
52,
53]. Furthermore, the dielectric loss tangent, denoted as tan δ
e and calculated as the ratio of ε′ to ε′′, is commonly employed to evaluate the dielectric attenuation of the sample. This parameter, as depicted in
Figure 8c, it is an indicator of the attenuation ability of electromagnetic wave absorbing material to electromagnetic wave. The dielectric loss tangent provides a quantitative measure of the efficiency with which the material can attenuate incident EMWs.
Both of the ε′ and ε′′ of the GdB
2C
2 powders synthesized at 1500 °C were higher than those of the samples synthesized at 1800 °C, confirming that the fine particle size could promote the dielectric properties of GdB
2C
2. The finer grain size, the more interfaces were formed between GdB
2C
2 powders and paraffin matrix. The improvement of interaction between the GdB
2C
2-paraffin and the enhancement of interfacial polarization contribute to the higher ε′ of GdB
2C
2 powders synthesize at 1500 °C compared to the sample synthesized at 1800 °C. The increase in ε′′ is primarily attributed to the rise in electrical conductivity. The conductivity can be determined using equation (6)[
54]:
As present in
Figure 8d, the electrical conductivity of GdB
2C
2 powders synthesized at 1500 °C were higher than that of the sample synthesized at 1800 °C. The observed behavior can be predominantly ascribed to the metallic conductivity inherent in the laminated GdB
2C
2 powders. The formation of a finer grain size facilitated the development of a conductive network structure, thereby augmenting the transmission pathways for charge carriers. Through structural optimization, the conductive properties of GdB
2C
2 powder have been significantly enhanced, Thus, it casts a profound influence on the dielectric and the electromagnetic wave absorption traits of the material. This effect primarily arises from the inherent metal conductivity within the layered structure of GdB
2C
2. The diminutive grain size paves the way for the emergence of a seamless conductive network, empowering more expeditious pathways for the conveyance of charge carriers [
55]. Furthermore, both the real (ε′) and imaginary (ε′′) components of the material's dielectric constant exhibit fluctuations associated with resonance phenomena, providing evidence for nonlinear resonance behavior in GdB
2C
2 that reflects its polarization and relaxation processes. This characteristic is indicative of a favorable dielectric loss performance within the specified frequency range. The material's ability to exhibit such resonant behavior is crucial for its effectiveness in dielectric applications, as it directly impacts the energy storage and dissipation capabilities of the material. Furthermore, the enhanced number of heterogeneous interfaces caused by the smaller grain size also improved relaxation process of GdB
2C
2, which generated the improvement of relaxation polarization.
To evaluate the EMWA capabilities of GdB
2C
2 powder synthesized at elevated temperatures of 1500 °C and 1800 °C, metrics such as reflection loss (RL) and effective absorption bandwidth (EAB) have been employed. Utilizing the calculations prescribed by formulas (7), (8) and (9), we can deduce the RL values, facilitating a quantitative assessment of the material’s EMWA performance across varying thermal conditions. This approach enables a nuanced understanding of how temperature influences the electromagnetic properties of GdB
2C
2 powder [
56,
57,
58]:
Within the equation, Z
0 stands as the emblem of the impedance of free space, with Z
in embodying the input impedance. The complex relative permeability, μ
r, unfolds as μ′-jμ′′, and the complex relative permittivity, ε
r, is articulated by ε′-jε′′. The symbol c embodies the speed of light, d signifies the thickness of the material, and f epitomizes the frequency.
Figure 9 dramatically showcases the reflection loss (RL) values for GdB
2C
2 powders forged at 1500 °C and 1800 °C across the expansive frequency realm of 2-18 GHz, with varying thicknesses. The former unveils a minimum reflection loss (RLmin) of -47.01 dB at a frequency of 15.92 GHz, thickness of 3.44 mm, while the latter achieves an RLmin of -29.51 dB, thickness of 4.62 mm, frequency of 16.32 GHz.
Theoretically calculated reflection loss (RL) data for different thicknesses of GdB
2C
2 powders synthesized at 1500 °C and 1800 °C in the frequency range of 2-18 GHz are presented in
Figures 9c and 9f, respectively, to facilitate a more intuitive comparison of their electromagnetic wave absorption performance. The results clearly demonstrate that the GdB
2C
2 powder synthesized at 1500 °C exhibits a wider electromagnetic absorption bandwidth (EAB), indicating its superior ability to absorb electromagnetic waves. Specifically, for a GdB
2C
2 sample with a thickness of 3.86 mm, the sample synthesized at 1500 °C demonstrates excellent absorption properties by covering a frequency range of approximately 1.76 GHz (
Figure 9c). In contrast, even when increasing the thickness of the sample synthesized at 1800 °C to 4.96 mm, its widest EAB can only reach up to 1.68 GHz (
Figure 9f), suggesting limited absorption performance. These findings strongly suggest that synthesizing GdB
2C
2 powder at a lower temperature of 1500 °C significantly enhances its electromagnetic wave absorption (EMWA) properties due to finer grain size and improved microstructure optimization leading to enhanced impedance matching and absorption efficiency
The impedance matching (IM, Z) and attenuation capacity of GdB
2C
2 powder synthesized at 1500 °C were investigated to explore the significant enhancement in electromagnetic wave absorption performance.
Figure 10 illustrates the IM (Z) values of these two samples, which are calculated using the following formula to further elucidate the underlying mechanism behind their improved performance[
59]:
IM is a critical factor in determining the EMW entry into material's surface. Optimal IM occurs when the input impedance (Zin) closely matches the air impedance (Z0). A closer proximity of the impedance matching (IM) value Z to 1 indicates a higher influx of electromagnetic waves into the electromagnetic wave absorber, leading to more efficient impedance characteristic. The frequency range with good impedance matching of the GdB2C2 powders synthesized at 1500 °C was larger than that of the sample synthesized at 1800 °C. Consequently, the EMW can effectively penetrate the sample prepared at 1500 °C, the samples synthesized at 1800 °C, however, exhibited significant reflection of electromagnetic wave, attributed to inadequate impedance matching (IM). This discrepancy in EMW interaction with the samples is a direct result of the differing IM values, which influence the absorption efficiency and overall performance of the EMW absorbers.
To delve deeper into the electromagnetic energy absorption characteristics of GdB
2C
2 powder across varying temperatures, the attenuation constant (α) was calculated for samples synthesized at 1500 °C and 1800 °C within the wide frequency range of 2 to 18 GHz. This procedure not only elucidates the material's attenuation properties at specific frequencies, moreover, this investigation sheds light on how the preparation temperatures influence the material's capacity to diminish electromagnetic waves. The attenuation constant (α) is ascertainable through the application of the subsequent equation[
60]:
The elevation of the α value signifies a heightened capacity of the material to effectively attenuate electromagnetic waves [
61]. As depicted in
Figure 11, samples prepared at 1500 °C exhibited a higher attenuation constant than those prepared at 1800 °C within the frequency range of 12.64 to 18 GHz. This finding clearly elucidates the impact of different synthesis temperatures on the electromagnetic wave attenuation characteristics of materials. Combined with the calculated IM value, the finer grain size of the sample synthesized at 1500 °C improved the IM as well as the attenuation ability, compared to the sample synthesized at 1800 °C. As a result, the EMWA performance was improved.
Figure 12 shows the absorption mechanism for GdB
2C
2. Initially, the optimal impedance matching (IM) facilitates the penetration of a substantial portion of electromagnetic waves (EMW) into the GdB
2C
2 sample, thereby laying the foundation for its remarkable EMWA capabilities. Following this, the metallic conductivity of GdB
2C
2 plays a pivotal role in inducing conductance loss through electron transition pathways within the material. Furthermore, the presence of a multitude of homogeneous and heterogeneous interfaces in the nano-laminated GdB
2C
2 sample, encompassing GdB
2C
2/GdB
2C
2, GdB
2C
2/paraffin, and GdB
2C
2/GdB
4, significantly amplifies interfacial polarization and electron hopping between GdB
2C
2 nanosheets, thereby elevating dielectric loss. The two-dimensional GdB
2C
2 nanomaterial is transformed into a three-dimensional microscopic framework through its unique layering structure, wherein a network of highly efficient conductive pathways is established. This architectural design not only facilitates the multi-directional scattering and reflection of electromagnetic waves within the material, thereby significantly enhancing its electromagnetic wave absorption capacity, but also results from the coordinated optimization of internal impedance, amplification of conductivity loss, enhanced polarization effect at interfaces and dipoles, as well as combined gain effect arising from their interaction.
Figure 13 shows the optimal EMWA performance of ternary layered structure Ti
3SiC
2, Ti
3AlC
2, Ti
3C
2T
x, and Ti
3C
2Tx-based materials reported in the relevant literature. Numerous layered structure materials have been thoroughly investigated, and excellent EMWA properties have been achieved in terms of filler loading, thinner matching thickness, low RL
min value and broader EAB. In this study, GdB
2C
2 powders fabricated at 1500 °C presented excellent EMWA properties along with remarkable thermal stability at an ultra-high temperature of 2100 °C.