# 3D printed dielectric ceramic without a sintering stage

## Abstract

This paper presents for the first time the fabrication of dielectric ceramic parts by 3D printing without sintering. The printable paste was prepared by mixing a carefully selected amount of water-soluble Li2MoO4 powder with water. A viscous mixture of solid ceramic particles and saturated aqueous phase was formed with a solid content of 60.0 vol.%. Printing of the sample discs was conducted with material extrusion using a low-cost syringe-style 3D printer. The consolidation and densification of the printed parts occurred during both printing and drying of the paste due to extrusion pressure, capillary forces, and recrystallization of the dissolved Li2MoO4. Complete drying of the paste was ensured by heating at 120 °C. The microstructure showed no delamination of the printed layers. Relatively high densities and good dielectric properties were obtained, especially when considering that no sintering and only pressure from the extrusion was employed. This approach is expected to be feasible for similar ceramics and ceramic composites.

## Introduction

Fabrication of electroceramic parts by the conventional sintering method is both time- and energy-consuming. The process includes packing of the ceramic powder with organic additives under compression, followed by binder burnout and sintering at high temperatures. Sintering results in the densification of the powder into a solid piece due to thermally assisted mass transport1,2. The related shrinking is difficult to control, which respectively makes it challenging to control the size and shape of the final product. Consequently, additional shaping is often needed.

Additive manufacturing allows the fast production of parts even with complex shapes from polymers, metals, and ceramics without a requirement for special moulds or material-subtractive post-processing3,4,5. In this method, objects are made by adding material layerwise based on a virtual model. Techniques for this are various4,5,6. In general, ceramics need a secondary sintering step to densify the product. The only single-step technique for ceramics is the powder bed fusion method. This also utilizes thermal energy, but in the form of a laser, electron beam, or infrared lamps, to selectively fuse regions of a powder bed into a solid part4,6,7.

One relatively simple approach for additive manufacturing of structural and functional ceramics and thermoplastics4,6, is material extrusion, the selective dispensing of material through a nozzle either drop-wise or in a continuous manner3,8. Such methods that include deposition of material using a nozzle or a print head are also referred to as 3D printing3. Material extrusion is categorized as a direct method since the desired shape of the final part is achieved directly by depositing the material to its specific position4. The technique takes advantage of the liquid-to-solid state transition of the extruded material. During extrusion, the material is in the liquid state to enable flow under the applied extrusion pressure9. Materials used are either polymer melts or pastes containing a solid and a liquid phase with organic additives4. Subsequently, the deposited material solidifies to retain its shape and place thus facilitating the layer-by-layer manufacturing9. Depending on the material composition, the change to the solid state can be achieved by crystallization, liquid to glass transition, gelation, polymerization, dilatant transition, or solvent evaporation9. In general, the extrusion setup is relatively inexpensive4. It includes a build platform and a dispenser, either or both of them being movable, in addition to a nozzle4,5 which can easily be changed to have the required diameter (usually 100–1000 µm) depending on the desired precision and production rate4.

Lithium molybdate (Li2MoO4) is a non-toxic dielectric ceramic material, which has been studied for corrosion inhibition10,11 and moisture sensing applications12,13 as well as a scintillator material for detecting some rare nuclear processes14,15, anode material for Li-ion batteries in modified form16,17, and catalyst for methane oxidation18. For microwave devices, Li2MoO4 is of interest because of its beneficially low dielectric loss in addition to its low sintering temperature of 540 °C19,20. However, Li2MoO4 is water-soluble, enabling component manufacture at temperatures as low as room temperature21,22,23,24. In this method, referred to as room temperature fabrication (RTF), Li2MoO4 powder is moistened with water. Partial dissolution of the Li2MoO4 leads to formation of an aqueous phase which aids particle packing and densification during the compression. Thus, no shrinkage is observed. The dissolved Li2MoO4 recrystallizes during drying due to water evaporation, which can be speeded up by heat treatment at 120 °C21. The RTF method has also been applied in the manufacture of Li2MoO4 based composites to tailor the relative permittivity22,23 and its thermal coefficient23, or to introduce magnetic properties25. As no sintering is required, the unwanted formation of extra phases or heat expansion mismatch between the materials are not observed. Different types of antennas have also been manufactured successfully using RTF24,26.

Based on RTF, this paper presents a new approach to utilize Li2MoO4 and its water-solubility in the fabrication of dielectric ceramic parts by 3D printing. No organic additives or post-processing by sintering are required. It is the first attempt to fabricate 3D printed ceramic structures from a material that needs no sintering. For example, there is a need for complex 3D customized antenna structures26,27 and resonators with differing geometries28,29,30 which would benefit from the 3D printing. However, the proposed method to 3D print even simple shapes, as is done in this work, is useful in small-scale or prototype fabrication since it is mould-free thus providing flexible, low-cost design of the products before large-scale manufacturing.

## Results

### Paste properties

The printable paste realized in this paper resulted from the mixing of Li2MoO4 powder with a sufficient amount of water which partly dissolve the Li2MoO4. The composition of the paste was experimentally optimized to give a smooth uniform flow during the extrusion by keeping the amount of the water and the aqueous phase as low as possible. A low water content is desirable since the evaporation of water during drying results in residual porosity23. A smooth sample surface was obtained after printing.

Rheological properties, which determine the flow characteristics of the paste, are greatly affected by the particle size distribution of the solid powder as well as the by content of the liquid phase2,31. A large size difference between the particles improves the extrudability of the paste32. Fig. 1 presents the particle size distribution of the used Li2MoO4 powder. Modes at around 10 and 100 µm were observed with the mean particle size being ~20 µm. It should be noted, that as the Li2MoO4 partially dissolves upon mixing with water the size distribution of the solid particles in the paste or in the dry product is not equivalent to that shown in Fig. 1. The initial solid content was 67.6 vol.% mixed with 32.4 vol.% of water. Through a calculation with Li2MoO4 solubility (44.81 wt.% at 25 °C33, meaning 81.2 g per 100 mL of water) and density of Li2MoO4-water solution (1.4897 g/cm3)34, the solid content of the paste converted to 60.0 vol.% with 40.0 vol.% of saturated aqueous solution, respectively. Good flow properties under stress are required for successful extrusion2. The paste showed shear-thinning behaviour. (Fig. 2a). The yielding behaviour of the paste is shown in Fig. 2b. At low oscillation stress values the paste exhibited a linear viscoelastic response with some instability. The transition out of this region due to the disruption of the paste network could be clearly seen as both the G’ (storage modulus) and the G” (loss modulus) decreased. Using the transition point G’ = G”, the yield stress (called also the yield point) was 63.1 Pa.

### Microstructure

Cross-sectional analysis of the microstructure revealed the success of the printing and drying. A typical micrograph of a dried sample is shown in Fig. 3.

Microstructure showed similar bimodal particle size distribution as the original powder (Fig. 1). The larger particles (light grey colour) were embedded to the matrix of smaller ones (darker grey colour). Additionally, some spherical pores (dark spots) were observed with minor cracks (indicated with arrows) next to the larger particles. Interfaces between the three printed layers are not distinguished. Due to the densification mechanism, slightly denser microstructure could be observed in the vicinity of the top and bottom surfaces.

### Densities and dielectric properties

In addition to the microstructural analysis, the measurement of density also gave information on the porosity which has an impairing effect on the relative permittivity (εr) and dielectric loss (tan δ). These factors determine the feasibility of the material in different electrical applications35,36. The measured densities and dielectric properties are reported in Table 1 in comparison with those reported for Li2MoO4 parts manufactured with RTF and post-processing at 120 °C22, and sintering at 540 °C20,37. It should be noted that the dielectric properties were measured from the samples thinned evenly from the bottom and top sides (thickness 0.87–0.94 mm) due to the requirements of the dielectric properties measurement device (see Methods). The densities shown in Table 1 are from the same samples. The densities of these thinned samples were naturally somewhat lower than those of the as-prepared samples with an original thickness of ~1.58–1.74 mm because the densest areas had been removed (Fig. 3).

## Discussion

The amount of the liquid phase largely determines the rheology of the paste31. A high solid content increases viscosity due to the respectively high interaction frequency between the particles38. A sufficient amount of liquid is required to fill the interparticle voids and to overcome the friction between the particles by separating them from each other. The liquid phase also lubricates the movement of the paste along the dispenser during extrusion31,39. However, the size, size distribution, and shape of the solid particles affect the amount of liquid required31 and thus the optimal solid and liquid contents vary from case to case.

In general, successful printing depends on the printing rate and pressure. However, the extrusion system can provide only a limited amount of pressure which has to be taken into account when optimizing the rheological properties of the paste. For these low extrusion pressures, the flow resistance between the paste and the dispenser and nozzle walls should be low. Thus, the paste must have a low viscosity at the high shear rates related to these areas31. On the other hand, a high paste viscosity is required immediately after the printing as the shear stress is removed. This enables continuous extrusion of the paste which also must retain its position and shape after deposition with sufficient strength to bear the weight of the subsequent layers. At the same time, the paste still needs to fuse to the previously extruded layer for the final part to become uniform without delamination8,31,38.

For the paste to first flow and then set during and after printing, respectively, it should exhibit shear thinning behaviour i.e. a decreasing viscosity as a function of increasing shear rate2,38,40. This means that the apparent viscosity should be low enough at high shear rates to ensure that the paste is extruded smoothly through the nozzle without clogging40,41,42. In addition to this, the process of extrusion-based printing is always easier for materials with a low yield stress, i.e. the stress value below which the paste does not flow. This ensures the minimum pressure necessary to create the flow43. Also the paste has to have yielding property in order to maintain its shape after exiting the nozzle38,40. Setting of the paste can further be aided with a heated printing platform. This results in a decrease of the amount of liquid phase and an increase in the viscosity38.

In this study, the water content was kept as low as possible because an excess amount during the drying causes porosity23. Furthermore, keeping the liquid content low was beneficial because it shortens the drying time and reduces the related shrinkage and cracking31,38,39. Upon mixing, the liquid phase penetrated between the particles wetting them completely because of the Li2MoO4 solubility. The air between the particles now became located in the liquid phase as pores. The negative pressure in the pores, caused by the decrease in liquid-vapor surface area, provided a capillary force that rearranged the particles to give maximum packing, as reported earlier44,45. The paste was observed to exhibit beneficial shear thinning and yielding properties (Fig. 2). Previously, yield stress values of 83 and 30 Pa have been reported for aqueous alumina and mullite suspensions with organic additives and rheology modifiers having solid contents of 51 and 60 vol.%, respectively46,47. The measured yield stress in this study was 63.1 Pa with a solid content of 60.0 vol.%.

The driving force of the consolidation of the Li2MoO4 in the RTF method is pressure21 which in the case of extrusion depends on the paste rheology, the extrusion rate, and the dimensions and the geometry of the dispenser31. Immediately after deposition of the paste, consolidation continues with the aid of the liquid phase and related capillary forces. Evaporation of the water enhances the recrystallization of the dissolved Li2MoO4 which in this case was accelerated by a heated printing platform and post-processing at 60 and 120 °C. Due to consolidation by capillary forces after printing, shrinkage would be expected45. Accurate measurement of the shrinkage rate was impossible since immediately after printing the sample was too soft and after the drying step edges existed, which are typical for 3D printed parts40. However, the shrinkage was estimated at 3% when the diameters of the virtual model and the dried sample were compared.

The spherical porosity and minor cracks next to the larger particles observed in the microstructure (Fig. 3) may have originated from the coalescence of small pores into large ones due to capillary forces in the wet sample45. Large pores may occur as a result of possible air bubbles in the paste, accumulation of evaporating vapor inside a wet sample45, or due to the detachment of larger particles during polishing. Cracking can also be a sign of a too fast drying rate40. With further optimization of drying, for example in high humidity40, the porosity may be reduced but not totally removed as the evaporating water leaves some porosity behind23. However, the drying of the sample in this study was relatively successful because too fast a drying rate would also have resulted in warping and cracking38,40 and these defects were not observed (Fig. 3). The absence of layer interfaces implied good adhesion and fusion of the layers (Fig. 3). An earlier study38 suggests that upon optimal drying, the previously deposited layer has dried enough to induce fluid transport from the freshly printed layer. Fusion of the layers then occurs as some solid particles get dragged with the fluid38. However, in relation to the current case, the high density and viscosity of the saturated Li2MoO4 solution has been reported to impede mass transport34. Yet the densest microstructure observed in the vicinity of the top and bottom surfaces (Fig. 3) indicated liquid transport across the layer interfaces towards these drying surfaces. During drying, the liquid can diffuse from the interior part of the sample to the solid-air interface where the water then evaporates48. This results in recrystallization of dissolved Li2MoO4 in these areas and the formation of denser material compared to the interior part.

The measured densities (Table 1) were relatively high compared to the generally reported values (up to 60%) achieved in the ceramic parts after extrusion and drying4. However, the dielectric values were reasonable although the densities remained lower compared to those reported earlier for Li2MoO4 parts manufactured by simple pressing and drying (RTF)22 or pressing and sintering20. The theoretical relative permittivity of dielectric media with high porosity can be estimated by the Maxwell-Garnett equation49 (equation (1), see Methods). When permittivity values of 5.59 for Li2MoO4 (after porosity correction by equation (2), see Methods) and 1 for air were used, the resulting calculation gave theoretical permittivities of 4.4–4.7 which deviated only slightly from the measured values. The measured dielectric loss values had the same magnitude of (10−4) as those measured for samples manufactured with RTF22 and sintering20. However, the dielectric properties achieved make this fabrication method feasible for high frequency applications, especially if complex shapes are needed.

This work demonstrates for the first time the possibility of fabricating solid ceramic parts at room temperature directly by using 3D printing without the use of organic additives and sintering. With more detailed optimization of the paste rheology, printing parameters, and drying kinetics even further improvements of the microstructure should be achieved which in turn would have a beneficial impact on the dielectric properties. Microstructure also affects the mechanical properties and these still need to be determined. The results also indicate that other similar ceramics or ceramic composites could be fabricated with 3D printing. Moreover, the ability to manufacture ceramic parts without high temperature processing enables the direct and seamless integration of ceramics with temperature-sensitive materials such as polymers. The use of additive manufacturing technology by the printing of soluble ceramics and corresponding composites enables a vast number of applications, for example in electronics and telecommunication applications, and paves the way for significant time, cost, and energy savings compared to conventional ceramic processing.

## Methods

### Manufacturing and characterization of the paste

Li2MoO4 powder (99+ %, Alfa Aesar, Karlsruhe, Germany) was milled in ethanol with ZrO2 milling media in a planetary ball mill (Pulverisette 6, Fritsch, Idar-Oberstein, Germany) to reduce the particle size and to achieve a suitable size distribution. The powder was sieved with a mesh size of 200 µm and then analysed with a laser diffraction particle size analyser (Beckman Coulter LS13320, Brea, CA) in isopropanol. Ultrasonic mixing prior to analysis was omitted because it was observed to break down the larger particles. At least 99% of the particles were observed to be smaller than the chosen mesh size. To prepare the printing paste, 15.7–15.9 wt.% of deionized water was added to Li2MoO4 powder followed by a thorough mixing with a spatula and subsequent formation of a uniform viscous paste.

Rheological properties of the paste were studied with a rheometer (Discovery HR-1, TA Instruments, New Castle, DE) with Ø 40 mm parallel steel plate geometry and a 1 mm gap between the plates. A plastic cover was employed to prevent the paste from drying during the measurement. Prior to the measurements, the sample was conditioned to 22 °C and a pre-shear with 5 s−1 shear rate for 1 minute was applied followed by 2 minute equilibration period. Flow ramps were conducted at shear rates of 1–200 s−1. Dynamic mechanical analysis (DMA) was carried out at 1 Hz changing the oscillation stress from 0.1 Pa to 3000 Pa. The yield stress of the paste was determined by observing the stress at which the G’ is equal to the G”.

### 3D printing and post-processing of the samples

The disc-shaped samples (Ø ~ 25 mm, thickness ~1.5 mm) were printed with a material extrusion-type 3D printer (Leapfrog Creatr, Alphen aan den Rijn, Netherlands) equipped with a custom-made dispenser. Syringes having plastic tapered tips with a nozzle diameter of 0.84 mm (EFD Optimum, Nordson, Westlake, OH) were used.

Printing parameter settings with values empirically optimized for the current paste composition are presented in Table 2. Polyethylene terephthalate (PET) film was used as a substrate. A heated platform (80 °C), to which the substrate was attached, was employed to partially dry the paste after deposition from the nozzle in order to reduce its flow and to retain its shape as more layers were printed.

Prior to the printing of each sample, two exterior perimeters (Ø ~ 35 mm) were printed to ensure a proper flow of the paste. A total of three layers (thickness ~0.5 mm each) were printed per sample. Per layer, a perimeter was printed followed by a rectilinear infill. The infill angle was chosen to be parallel to that of the previous layer with suitable offsets (0.30 mm) in order to achieve the closest packed hexagonal layup to minimize the amount of space between the printed lines40.

After printing, the samples were left to dry on top of a mesh at room temperature for 66 h. After the first 18 h, the substrates were carefully removed to allow drying on both sides. Post-processing at 60 °C and 120 °C, for 24 and 6 h respectively, was employed to speed up the evaporation of the water and to ensure complete drying22.

Altogether, over 80 samples were printed using over 50 batches of paste, including the first trials and optimization of the printing and drying processes. 14 samples from 10 batches of paste were selected for characterization.

### Characterization of the samples

Measurement of the sample thicknesses was conducted with a micrometer screw (Mitutoyo Co., Kawasaki, Japan).

The microstructure of an as-prepared sample was characterized with a field emission scanning electron microscope using a secondary electron detector (Zeiss ULTRA Plus, Karlsruhe, Germany). The sample was mounted in epoxy for the imaging. The sample surface was polished using 1 µm water-free polycrystalline diamond suspension (Akasel, Cloeren Technology GmbH, Wegberg, Germany) and coated with a thin layer of carbon to eliminate electrostatic effects during imaging. Acquisition of the image was done with 2048 × 1536 resolution.

The high-frequency dielectric properties were measured with a non-contact method using a Split Post Dielectric Resonator (QWED, Warsaw, Poland), with a nominal resonant frequency of 9.97 GHz. Due to the sample height restriction of the device (h < 0.95 mm), the samples were accordingly thinned on both sides with a P1200 carborundum paper (EcoWet, KWH Mirka Ltd, Jeppo, Finland) and ethanol. The Maxwell-Garnett mixing equation

$${\varepsilon }_{eff}={\varepsilon }_{e}+3{V}_{f}{\varepsilon }_{e}\frac{{\varepsilon }_{i}-{\varepsilon }_{e}}{{\varepsilon }_{i}+2{e}_{e}-{V}_{f}({\varepsilon }_{i}-{\varepsilon }_{e})}$$
(1)

where εeff is the effective relative permittivity, εe permittivity of fully dense Li2MoO4, εi permittivity of air, and Vf volume fraction of air (porosity), was employed to estimate the theoretical permittivity49. The value for εe was calculated using the porosity correction equation

$${\varepsilon }_{e}={\varepsilon }_{meas}(1+1.5P)$$
(2)

where εmeas is the measured relative permittivity, and P is the porosity50,51. For this calculation, the values used were εmeas = 5.58 and P = 0.0437, as measured by Zhang et al.52 at 10.17 GHz frequency, which was close to the measurement frequency of the current work (Table 1).

Bulk densities were determined from the thinned samples to allow direct comparison with the associated dielectric properties. According to the standard for characterization of parts fabricated by additive manufacturing53, densities were determined with liquid impregnation using the vacuum method54. Due to the water-sensitivity of the samples, 1-butanol (≥99.4%, Sigma-Aldrich, St. Louis, MO) was used as an immersion liquid. 1-Butanol is non-toxic, has sufficiently low vapor pressure to be used with the vacuum, and it can be evaporated from the samples at 120 °C (the highest processing temperature of the samples) after measurements. To weigh the samples, Precisa ES 225SM-DR scale (Dietikon, Swizerland) was employed. The density of the 1-butanol (d = 0.808 g/cm3) at the prevailing temperature (21.3 °C) was measured using the scale equipped with a 350–8637 density determination kit (Precisa, Dietikon, Swizerland). The relative densities of the samples were calculated in relation to the theoretical Li2MoO4 density of 3.04 g/cm3 (Powder diffraction file 21–0763).

## Data Availability

All data generated of analysed during the current study are available from the corresponding author on reasonable request.

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## Acknowledgements

Thanks to Dr. Maiju Hietala for helping with the rheometry measurements. The work leading to these results has received funding from the European Research Council (ERC) under the European Union’s Seventh Framework Programme (FP7/2007–2013)/ERC grant agreement No. 291132. Author M.V. gratefully acknowledges the financial support from the Infotech Oulu Doctoral Program, Seppo Säynäjäkangas Foundation, Walter Ahlström Foundation, HPY Research Foundation, and Tauno Tönning Foundation. Author J. J. acknowledges funding from the Academy of Finland (Grant agreement No. 267573).

## Author information

Authors

### Contributions

H.K. and H.J. conceived the idea for the experiments. H.K. worked out the paste composition and optimized the printing bed temperature and the drying regime, M.V. and M.S. conducted the optimization of the printing parameters. M.V. conducted the paste preparation, printing of the samples and the characterizations. K.O. analysed the rheological measurements which were conducted together with M.V. The results were analysed by M.V., H.K., J.J. and H.J. All authors reviewed the manuscript.

### Corresponding author

Correspondence to Maria Väätäjä.

## Ethics declarations

### Competing Interests

The authors declare no competing interests.

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Väätäjä, M., Kähäri, H., Ohenoja, K. et al. 3D printed dielectric ceramic without a sintering stage. Sci Rep 8, 15955 (2018). https://doi.org/10.1038/s41598-018-34408-5

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