Preparation and Characterization of a Low-Cost and Natural Material-Based Reticulated Porous Diatomite-Kaolin Composite

In recent years, porous ceramics have been increasingly developed owing to their high levels of high-temperature stability and chemical stability. These properties are far superior to porous polymers and porous metals. As a representative porous ceramic, reticulated porous ceramics have been fabricated for several decades owing to their overwhelmingly high porosity, which is usually above 90%. There are growing concerns about the environmental problems. However, the data on the preparation of low-cost and natural material-based reticulated porous ceramics are not enough. Therefore, the authors studied the preparations and characterizations of reticulated porous ceramics prepared using diatomite and kaolin, and compared them to typical reticulated porous alumina. The obtained data were used to determine whether the reticulated porous diatomite-kaolin composite can be practically used in non-hard loading conditions. The structural properties and dielectric breakdown strength of the reticulated porous ceramics were examined using scanning electron microscopy, mercury porosimetry, μ-computed tomography (CT), and standard test apparatus of dielectric breakdown voltage.


Introduction
Porous ceramics have been extensively studied [1], because they possess various advantageous properties. Exceptionally high thermal and chemical stability of porous ceramics has secured their position in the market, made their position secure, overwhelming their competitors such as porous polymers and porous metals. Among the various types of porous ceramics, reticulated porous ceramics have well-defined open pore structures, whose porosity is generally above 90%. Therefore, reticulated porous ceramics [2] are prepared using various types of ceramics that are laid in an extreme edge of the advantages of porous ceramics.

Materials and Methods
As the sacrificial template, commercial polyurethane foams (SKB Tech, Korea) with 10, 25, 45, 60, and 85 PPI, and dimensions of 50 mm × 50 mm × 10 mm were used for the experiments. A batch of diatomite-kaolin slurry was manufactured to coat the polyurethane foam, which consisted of 100 g of diatomite (Celite 499, Celite Corp, Lompoc, CA, USA), 30 g of kaolin (Kaolin, Sigma-Aldrich, Darmstadt, Germany) as a strength enhancer, 250 mL of distilled water, 4 g of DARVAN C-N (Vanderbilt Minerals, Norwalk, CT, USA) as a dispersant, and 20 g of polyvinyl alcohol (PVA) as an organic binder (PVA 500, Junsei Chemical Co., Tokyo, Japan). The mixed diatomite-kaolin slurry was ball-milled using alumina balls for 4 h. The reticulated porous diatomite-kaolin composite specimens were prepared by the replica method. While implementing the conventional replica method, a polyurethane foam specimen was initially soaked in a diatomite-kaolin slurry until its internal pores were saturated with diatomite-kaolin particles. Subsequently, the impregnated polyurethane foam specimen was squeezed to remove any excess diatomite-kaolin slurry, and to enable the formation of a thin diatomite-kaolin coating over the struts of the open-cell pore structure. Then the specimen was dried for 24 h at room temperature. The dried specimen was heat-treated at 400 • C for 1 h to burn off the binder, and subsequently sintered for 1 h at 1200 • C. After sintering, the material was transformed into reticulated porous diatomite-kaolin composite.
For comparison, reticulated porous alumina specimens were also prepared. Because it was very difficult to compare "the same material and different microstructure" or "different material and the same microstructure". Introducing the diatomite particles to a reticulated porous ceramic, means that the microstructure will be unique which motivated the author to investigate the reticulated porous diatomite. Therefore, the authors compared characteristics the specimens between "a conventional and typical reticulated porous ceramic (alumina) and a novel and unique reticulated porous ceramic (diatomite-kaolin composite)" regardless of the difference of microstructure. Alumina slurry consisted of 130 g of α-alumina (AKP-30, Sumitomo Chemical Co., Ltd., Tokyo, Japan), 100 mL of distilled water, 1.5 g of methyl cellulose serving as a thickening agent (Sigma-Aldrich, Darmstadt, Germany), 4 g of DARVAN C-N (Vanderbilt Minerals, Norwalk, CT, USA) serving as a dispersant, and 5 g of PVA serving as an organic binder (PVA 500, Junsei Chemical Co., Tokyo, Japan). The optimized alumina slurry composition was obtained only after adding the dispersant in the middle of experiments during this study. Therefore, the un-optimized alumina slurry condition did not include the essential dispersant. All other preparing procedures were the same, except for the sintering temperature, which was 1600 • C.
The pore characteristics of the specimens were characterized using scanning electron microscopy (SEM, JSM-5800, JEOL, Tokyo, Japan) and mercury porosimetry (Autopore IV 9510, Micromeritics, Norcross, GA, USA). The viscosity was measured using a rotational rheometer (Discovery HR-1, TA Instruments, New Castle, DE, USA) at 25 • C. The three-dimensional microstructure was investigated through µcomputed tomography (CT) (XT H 160, Voxel size = 3 µm, Nikon, Tokyo, Japan). The compressive strengths of the reticulated porous diatomite specimens were measured with a fixture using an Instron 4206 (Instron, Norwood, MA, USA) testing system. For the compressive strength testing, specimens with dimensions of 20 mm × 20 mm × 20 mm were prepared. The dielectric breakdown strengths were measured using the standard test apparatus of dielectric breakdown voltage with a DC power supply (C180 30 KV 10 mA, KSC, Seoul, Korea). The authors followed the well-known standard ASTM D149-97a "Standard Test Method for Dielectric Breakdown Voltage and Dielectric Strength of Solid Electrical Insulating Materials at Commercial Power Frequencies" using opposing circular flat plates (150 mm diameter, 10 mm thickness with edges rounded with a 3 mm radius) in ambient air at room temperature. Five specimens (with dimensions 150 mm × 150 mm × 10 mm) were measured.
The detailed reasons are as follows. (1) As the value of PPI increased above approximately 45 PPI, it was difficult for a sacrificial polymer template to completely fill the internal pores with ceramic slurry. It was also very difficult to remove the excessive ceramic slurry while maintaining the formation of thin and uniform ceramic coatings over the strut walls of the sacrificial polymer template. Consequentially, several blocked inter-connected pores were generated by the remnants of excessive ceramic slurry, which should have participated in the ceramic coating on the strut walls of the sacrificial polymer template. It should have been removed completely, but remained even after the squeezing process. It can severely degrade the two main advantages of reticulated porous ceramics: low density and high permeability. (2) When PPI was relatively low, such as 10 or 25 PPI, it was favorable to increase the viscosity of ceramic slurry to coat the strut wall of sacrificial polymer template firmly, minimizing any defects that could be generated by the un-coated strut wall owing to the low adhesiveness, induced by the low viscosity of ceramic slurry, which enhanced the compressive strength of reticulated porous ceramics. However, when PPI approached approximately 45 PPI, a highly viscous ceramic slurry could not easily penetrate and remove the narrow pore channels of the sacrificial polymer template. Therefore, it was difficult to enhance the compressive strength of reticulated porous ceramics by increasing the PPI or viscosity of ceramic slurry.
To demonstrate the difficulty faced during the preparation of reticulated porous ceramic specimen with high PPI, reticulated porous alumina specimens were prepared. Figure 1 shows the compressive strengths of the reticulated porous alumina specimens that were prepared by two different types of alumina slurry compositions, which were sintered at 1600 • C for 1 h. They had pore densities of 60 and 80 PPI. In Figure 1, the compressive strength of reticulated porous alumina prepared using the optimized alumina slurry, with the well-established composition of binder, solid loading, and dispersant, was higher than that of the reticulated porous alumina prepared using alumina slurry with the un-optimized slurry composition (in which the content is identical, minus the dispersant). Generally, if the viscosity of un-optimized alumina slurry was too high, it could not penetrate the narrow pore channel of the sacrificial polymer template. There were voids inside the reticulated porous alumina and many pore channels of the surface were blocked by the excessive alumina slurry which should have been penetrated the surface instead. If the viscosity of un-optimized alumina slurry was too low, it could not form a firm and defect-free coating layer on the surface of strut walls of the sacrificial polymer template.
To evaluate the coating quality, generally, the applied mass (the amount of coated ceramic slurry after the squeezing process) can be easily measured. However, it is not certain whether the applied mass is properly coated on the strut walls or distributed non-uniformly deep-inside the reticulated porous ceramic specimen. The identification of the coating quality becomes more difficult as the thickness and PPI of the sacrificial polymer template increase owing to the limitation of optical measurement. Therefore, in this study, non-destructive µ-CT analysis was introduced to investigate the prepared reticulated porous ceramic specimens. Figure 2a shows the three-dimensional microstructure of typical reticulated porous alumina specimen, reconstructed by a µ-CT. A representative slice from the µ-CT reconstructions of the specimen is shown in Figure 2b. It is evident that the specimen had a well-defined inter-connected pore structure as intended. However, Figure 2c shows the three-dimensional microstructure of typical reticulated porous alumina prepared using the un-optimized alumina slurry, reconstructed by a µ-CT. A representative slice from these µ-CT reconstructions is shown in Figure 2d. Although Figure 2c does not show any significant difference at a surface level from Figure 2a, in Figure 2d, the voids and non-uniform distribution of strut walls, inside the reticulated porous alumina specimen can be observed. The pore channels beneath the surface level were severely blocked, which shows the effect of highly viscous alumina slurry that should have penetrated deep-inside the sacrificial polymer template.
densities of 60 and 80 PPI. In Figure 1, the compressive strength of reticulated porous alumina prepared using the optimized alumina slurry, with the well-established composition of binder, solid loading, and dispersant, was higher than that of the reticulated porous alumina prepared using alumina slurry with the un-optimized slurry composition (in which the content is identical, minus the dispersant). Generally, if the viscosity of un-optimized alumina slurry was too high, it could not penetrate the narrow pore channel of the sacrificial polymer template. There were voids inside the reticulated porous alumina and many pore channels of the surface were blocked by the excessive alumina slurry which should have been penetrated the surface instead. If the viscosity of unoptimized alumina slurry was too low, it could not form a firm and defect-free coating layer on the surface of strut walls of the sacrificial polymer template. Figure 1. Compressive strengths of the reticulated porous alumina specimens with pore densities of 60 and 80 PPI, which were prepared using the optimized and the un-optimized processing conditions, respectively. Figure 3a shows the viscosities as a function of the shear rate of the alumina and diatomite-kaolin slurries with optimized slurry compositions at the highest solid loading. On comparing the viscosity of alumina slurry to that of diatomite-kaolin slurry, it was found to be significantly low, implying that it could more easily penetrate the excessively narrow cells of a sacrificial polymer template whose PPI was greater than 60. This provides a significant advantage of preparing reticulated porous ceramics. Figure 3b shows the sacrificial polymer templates (commercial polyurethane foams) with pore densities of 10, 25, 45, 60, and 80 PPI. These polyurethane foams were used as sacrificial polymer templates during the replica method in this study. Figure 3c shows the as-prepared reticulated porous diatomite-kaolin composite specimens with pore densities of 10, 25, 45, 60, and 80 PPI, prepared using the replica method. In previous reports [21,22,35,36], the sintering temperature of the reticulated porous diatomite-kaolin composite was determined to be 1200 • C. The authors already recognized that the reticulated porous diatomite-kaolin composite had similar microstructures up to 1200 • C because above 1200 • C, a clear coalescence and decrease in the average pore size of diatomite particles began to occur owing to the impurities, such as Na 2 O, K 2 O, Al 2 O 3 , CaO and MgO, in the diatomite particles, which easily formed a melt phase in the silica-rich grains [36]. Then, the inherent irregular and porous nature of the diatomite particles diminished. Subsequently, the reason for justification of introducing porous diatomite particles significantly reduced. Definitely, the above-mentioned phenomenon, as described in the literature, was not exactly matched with the reticulated porous diatomite-kaolin composite. However, because diatomite was the main component, the phenomenon corresponding to the sintering temperature was similar to that discussed in the literature.
the un-optimized alumina slurry, reconstructed by a μ-CT. A representative slice from these μ-CT reconstructions is shown in Figure 2d. Although Figure 2c does not show any significant difference at a surface level from Figure 2a, in Figure 2d, the voids and non-uniform distribution of strut walls, inside the reticulated porous alumina specimen can be observed. The pore channels beneath the surface level were severely blocked, which shows the effect of highly viscous alumina slurry that should have penetrated deep-inside the sacrificial polymer template.  Figure 3a shows the viscosities as a function of the shear rate of the alumina and diatomitekaolin slurries with optimized slurry compositions at the highest solid loading. On comparing the viscosity of alumina slurry to that of diatomite-kaolin slurry, it was found to be significantly low, implying that it could more easily penetrate the excessively narrow cells of a sacrificial polymer template whose PPI was greater than 60. This provides a significant advantage of preparing reticulated porous ceramics. Figure 3b shows the sacrificial polymer templates (commercial polyurethane foams) with pore densities of 10, 25, 45, 60, and 80 PPI. These polyurethane foams were used as sacrificial polymer templates during the replica method in this study. Figure 3c shows the asprepared reticulated porous diatomite-kaolin composite specimens with pore densities of 10, 25, 45, 60, and 80 PPI, prepared using the replica method. In previous reports [21,22,35,36], the sintering temperature of the reticulated porous diatomite-kaolin composite was determined to be 1200 °C. The authors already recognized that the reticulated porous diatomite-kaolin composite had similar microstructures up to 1200 °C because above 1200 °C, a clear coalescence and decrease in the average  pore size of diatomite particles began to occur owing to the impurities, such as Na2O, K2O, Al2O3, CaO and MgO, in the diatomite particles, which easily formed a melt phase in the silica-rich grains [36]. Then, the inherent irregular and porous nature of the diatomite particles diminished. Subsequently, the reason for justification of introducing porous diatomite particles significantly reduced. Definitely, the above-mentioned phenomenon, as described in the literature, was not exactly matched with the reticulated porous diatomite-kaolin composite. However, because diatomite was the main component, the phenomenon corresponding to the sintering temperature was similar to that discussed in the literature.   Figure 4a,b show the fractured strut walls of a typical reticulated porous alumina specimen and reticulated porous diatomite-kaolin composite specimen, respectively. It is evident that the strut walls of reticulated porous diatomite-kaolin composite were porous unlike those of reticulated porous alumina. Reasonably, the porous nature of the strut walls of reticulated porous diatomitekaolin composite degraded the compressive strength to a certain degree. This issue will be discussed again in Figure 7b. To clearly compare the pore structure of the reticulated porous diatomite-kaolin composite with the reticulated porous alumina, Figure 5a shows the three-dimensional microstructure of typical reticulated porous diatomite-kaolin composite prepared using the optimized diatomite-kaolin slurry condition, reconstructed by µ-CT. A representative slice from the µ-CT reconstructions is shown in Figure 5b. Figure 4a,b show the fractured strut walls of a typical reticulated porous alumina specimen and reticulated porous diatomite-kaolin composite specimen, respectively. It is evident that the strut walls of reticulated porous diatomite-kaolin composite were porous unlike those of reticulated porous alumina. Reasonably, the porous nature of the strut walls of reticulated porous diatomitekaolin composite degraded the compressive strength to a certain degree. This issue will be discussed again in Figure 7b.  To clearly compare the pore structure of the reticulated porous diatomite-kaolin composite with the reticulated porous alumina, Figure 5a shows the three-dimensional microstructure of typical reticulated porous diatomite-kaolin composite prepared using the optimized diatomite-kaolin slurry condition, reconstructed by μ-CT. A representative slice from the μ-CT reconstructions is shown in Figure 5b. (a) Because the study of the reticulated porous diatomite-kaolin composite is still at its initial stage, the present work focused on determining the suitability of the reticulated porous diatomite-kaolin composite for applications. The conditions of the diatomite-kaolin slurry were optimized for the preparation of the composite, but not for its dielectric properties.
It showed voids and un-uniform distribution of strut walls inside the reticulated porous diatomite-kaolin composite specimen, at an intermediate level between the case of reticulated porous alumina prepared using the optimized alumina slurry condition and un-optimized alumina slurry condition. However, it should be noted that the pore channels beneath the surface level were not severely blocked nor the inter-connectivity was perfect. Interestingly, it is important to note that the success or failure of the preparation of a reticulated porous diatomite-kaolin composite did not depend on the presence of pore channels blocked by redundant diatomite-kaolin particles, which should have been removed in other cases such as the preparation of reticulated porous alumina. This is supported by the pore structure data characterized by mercury porosimeter. specimen and (b) reticulated porous alumina with a pore density of 10 PPI.
To clearly compare the pore structure of the reticulated porous diatomite-kaolin composite with the reticulated porous alumina, Figure 5a shows the three-dimensional microstructure of typical reticulated porous diatomite-kaolin composite prepared using the optimized diatomite-kaolin slurry condition, reconstructed by μ-CT. A representative slice from the μ-CT reconstructions is shown in Figure 5b.  Figure 6a shows the pore size distributions of the reticulated porous diatomite-kaolin composite. As the PPI increased, the pore size and amount of pore volume in the reticulated porous diatomite-kaolin composite slightly increased, because the number of strut walls that were porous and the voids generated by redundant diatomite particles increase accordingly. In Figure 6a, the pore size distribution of individual diatomite particles covered a range from 0.5 to 5 µm, which included the pore size distribution of the strut walls of reticulated porous diatomite-kaolin composite. This highlights the variability in the pore size. The size of the void generated by the burn-out sacrificial polymer template ranged from 50 to 100 µm in Figure 4a, and the large cell composed by the strut walls was in the sub-milimeter range. For comparison, Figure 6b shows the pore size distributions of the reticulated porous alumina. Unlike the reticulated porous diatomite-kaolin composite, despite the increasing value of PPI, the pore size and amount of pore volume of the reticulated porous alumina did not significantly increase because the number of dense strut walls does not affect the overall pore size distribution. Additionally, there was little possibility for the generation of voids by the redundant alumina particles, which possibly occurred during the preparation of reticulated porous ceramics with high PPI, accordingly, because the redundant alumina generally blocked the pore channels, as already identified by a representative slice from µ-CT reconstructions of the reticulated porous alumina in Figure 2d. In Figure 6b, the pores in the strut walls of the reticulated porous alumina were negligible, compared to those of the reticulated porous diatomite-kaolin composite. The alumina particles were well-sintered at 1600 • C, producing dense strut walls. To compare more clearly the porous characteristics of the strut walls of the reticulated porous alumina with those of the reticulated porous diatomite-kaolin composite, the pore size distribution focused on the range 0.1 µm to 10 µm. This ensured that the voids generated by the burn-out sacrificial polymer template lay beyond the displayed graph range.
Appl. Sci. 2020, 10, x FOR PEER REVIEW 11 of 15 (a) (b) Figure 6. Pore size distributions of (a) the reticulated porous diatomite-kaolin composite specimens and (b) the reticulated porous alumina specimens, with pore densities of 45, 60, and 80 PPI. Figure 7b shows the compressive strengths of the reticulated porous diatomite-kaolin composite sintered at 1200 °C, and reticulated porous alumina specimens sintered at 1600 °C, with pore densities of 60 and 80 PPI, respectively. The compressive strength of the reticulated porous diatomite was lower than that of the reticulated porous alumina irrespective of the value of PPI. Considering the presence of porous strut walls in the reticulated porous diatomite-kaolin composite specimen, which can induce an adverse effect on the overall strength, the difference in compressive strengths between the reticulated porous diatomite-kaolin composite and reticulated porous alumina was not greater than expected. It should be noted that the flexural strength of the reticulated porous alumina, sintered at 1600 °C was four times higher than that of the reticulated porous diatomite-kaolin composite, sintered at 1200 °C [37]. This discrepancy can be explained by the presence of typical void and large defects that were produced when the sacrificial polymer template was burned out, which can  Figure 7b shows the compressive strengths of the reticulated porous diatomite-kaolin composite sintered at 1200 • C, and reticulated porous alumina specimens sintered at 1600 • C, with pore densities of 60 and 80 PPI, respectively. The compressive strength of the reticulated porous diatomite was lower than that of the reticulated porous alumina irrespective of the value of PPI. Considering the presence of porous strut walls in the reticulated porous diatomite-kaolin composite specimen, which can induce an adverse effect on the overall strength, the difference in compressive strengths between the reticulated porous diatomite-kaolin composite and reticulated porous alumina was not greater than expected. It should be noted that the flexural strength of the reticulated porous alumina, sintered at 1600 • C was four times higher than that of the reticulated porous diatomite-kaolin composite, sintered at 1200 • C [37]. This discrepancy can be explained by the presence of typical void and large defects that were produced when the sacrificial polymer template was burned out, which can overwhelm the overall compressive strength. Relatively, the effect of the presence of porous strut walls in reticulated porous diatomite-kaolin composite was not significant.
breakdown strength of porous ceramics, such as porous alumina (porosity < 30%) [38], porous magnesium aluminate (porosity < 20%) [39], porous lead zirconate titanate (porosity < 20%) [40,41], and porous silica glass (porosity < 30%) [42], which have low porosity, have been investigated Considering that the porosities of the reticulated porous diatomite-kaolin composite prepared in this study, with pore densities of 45, 60, and 80 PPI, were 89.1%, 87.4%, and 83.9%, respectively, (in addition, the porosities of the reticulated porous alumina prepared in this study, with pore densities of 45, 60, and 80 PPI, were 88.6%, 82.6%, and 81.3%, respectively), the measurements are required to investigate the effect of high porosity on the dielectric breakdown strength. It is evident that the dielectric breakdown strengths of the reticulated porous diatomite-kaolin composite, sintered at 1200 °C, and reticulated porous alumina specimens, sintered at 1600 °C were approximately 15 KV/cm, which are similar each other, irrespective of the value of PPI. It should be mentioned that the dielectric breakdown strengths of reticulated porous ceramics, with pore densities of 10 and 25 PPI, could not be measured owing to the arc-generation induced by the highly inter-connected pores between the electrodes. The dielectric breakdown strengths of the reticulated porous diatomite-kaolin composite, sintered at 1200 • C, and reticulated porous alumina specimens, sintered at 1600 • C, with pore densities of 45, 60, and 80 PPI, are shown in Figure 7c. To the best of the authors' knowledge, there are few studies on the dielectric breakdown strength of reticulated porous ceramics. The dielectric breakdown strength of porous ceramics, such as porous alumina (porosity < 30%) [38], porous magnesium aluminate (porosity < 20%) [39], porous lead zirconate titanate (porosity < 20%) [40,41], and porous silica glass (porosity < 30%) [42], which have low porosity, have been investigated Considering that the porosities of the reticulated porous diatomite-kaolin composite prepared in this study, with pore densities of 45, 60, and 80 PPI, were 89.1%, 87.4%, and 83.9%, respectively, (in addition, the porosities of the reticulated porous alumina prepared in this study, with pore densities of 45, 60, and 80 PPI, were 88.6%, 82.6%, and 81.3%, respectively), the measurements are required to investigate the effect of high porosity on the dielectric breakdown strength. It is evident that the dielectric breakdown strengths of the reticulated porous diatomite-kaolin composite, sintered at 1200 • C, and reticulated porous alumina specimens, sintered at 1600 • C were approximately 15 KV/cm, which are similar each other, irrespective of the value of PPI. It should be mentioned that the dielectric breakdown strengths of reticulated porous ceramics, with pore densities of 10 and 25 PPI, could not be measured owing to the arc-generation induced by the highly inter-connected pores between the electrodes. Therefore, by compromising the all above-mentioned experimental data, a reticulated porous diatomite-kaolin composite can be act as a potential dielectric barrier, insulating material, or filter, with a low density, good dielectric breakdown strength compared to reticulated porous alumina, and an acceptable mechanical strength, which can be prepared with low processing cost, if it is used under non-hard loading conditions.

Conclusions
In this study, reticulated porous diatomite-kaolin composite specimens were prepared using a replica method. For comparison, reticulated porous alumina specimens were also prepared. The prepared pore density of the reticulated porous diatomite-kaolin composite was dependent on the pore density of the sacrificial polymer template (in this study, polyurethane foam), namely 10, 25, 45, 60, and 80 PPI.
There are three main advantages of preparing a reticulated porous diatomite-kaolin composite. (1) Because the viscosity of diatomite slurry at the highest solid loading is significantly lower than that of alumina slurry, the preparation of reticulated porous diatomite-kaolin composite is much easier than reticulated porous alumina, especially when the PPI of the sacrificial polymer template is greater than 45. (2) Owing to the inherent porous nature of diatomite particles, there is growing concern about the remnant diatomite particles, during dip-coating and subsequent squeezing process, which may block the pore channels in the confined spaces between the strut walls. (3) Although the compressive strength of a reticulated porous diatomite-kaolin composite is lower than that of a reticulated porous alumina when their PPI values are the same, the dielectric breakdown strengths of reticulated porous diatomite-kaolin composite and reticulated porous alumina are similar, implying that reticulated porous diatomite-kaolin composite can be potentially used under non-hard loading conditions.
These findings indicate the feasibility of using a reticulated porous diatomite-kaolin composite in the application fields that require low cost, less weight, and high permeability, such as a dielectric barrier or insulator.