Effect of the Heating Rate to Prevent the Generation of Iron Oxides during the Hydrothermal Synthesis of LiFePO4

Lithium-ion batteries (LIBs) have gained much interest in recent years because of the increasing energy demand and the relentless progression of climate change. About 30% of the manufacturing cost for LIBs is spent on cathode materials, and its level of development is lower than the negative electrode, separator diaphragm and electrolyte, therefore becoming the “controlling step”. Numerous cathodic materials have been employed, LiFePO4 being the most relevant one mainly because of its excellent performance, as well as its rated capacity (170 mA·h·g−1) and practical operating voltage (3.5 V vs. Li+/Li). Nevertheless, producing micro and nanoparticles with high purity levels, avoiding the formation of iron oxides, and reducing the operating cost are still some of the aspects still to be improved. In this work, we have applied two heating rates (slow and fast) to the same hydrothermal synthesis process with the main objective of obtaining, without any reducing agents, the purest possible LiFePO4 in the shortest time and with the lowest proportion of magnetite impurities. The reagents initially used were: FeSO4, H3PO4, and LiOH, and a crucial phenomenon has been observed in the temperature range between 130 and 150 °C, being verified with various techniques such as XRD and SEM.


Introduction
The global and increasing energy demand, and the need to replace the consequential consumption of fossil fuels because of environmental concerns, has generated a growing interest, not only in the development of renewable sources of energy, but also in the design of more advanced energy storage systems such as lithium-ion batteries (LIBs) [1], super capacitors [2], lithium sulfur batteries [3], sodium sulfur batteries [4], and redox flow batteries [5] with improved energy density and cycling performance. Nowadays, LIBs are important energy storage devices because of their high specific energy, low self-discharge, excellent cycle performance, no memory effect, and lesser environmental impact [6]. About 30% of the manufacturing budget for LIBs is spent on cathode materials, and its level of development is lower than that of the negative electrode, the diaphragm, or the electrolyte. Therefore, it is the "control step" that determines the battery performance in terms of working voltage, energy density, and rate performance [6]. Numerous cathodic materials have been employed, such as LiMn 2 O, Li 3 V 2 (PO 4 ) 3 , and LiCoO 2 , but it is LiFePO 4 that has become the main one used because of its excellent performance, as well as its high theoretical specific capacity (170 mA·h·g −1 ), practical operating voltage (3.5 V vs. Li + /Li), long life cycle, superior safety, low cost, low toxicity, abundant resources, and lesser environmental impact [7].
For a long time, the research works that have been conducted on hydrothermal synthesis have primarily focused on the improvement of the two main drawbacks that LiFePO 4 presents. These are its low diffusivity (10-14 cm 2 ·s −1 ) and its low electrical conductivity (10 −9 S·cm −1 ) [1]. Several studies have tried to find the way to improve lithium ion diffusivity by varying the size and morphology of its particles through the control of the different variables that have an influence on their formation process in order to shorten lithium-ion main diffusion channel ( [10] channel): pH [19,20], reaction time [15,21], stirring [22], temperature [16,23], and use of surface-modifying agents and reducing agents [24][25][26][27][28]. Other studies have tried to improve lithium-ion electrical conductivity by coating its particles with carbon or doping them with transition metals [29][30][31].
In addition, another important part of the studies on hydrothermal synthesis have been based on the rapid and economic production of LiFePO 4 [17,32]. To accomplish an efficient production of LiFePO 4 , continuous processes, where preheating is usually rapid, are required. However, the use of high heating rates may generate large amounts of iron oxide impurities (magnetite) and poor particle crystallization, which prevents good electrochemical performance [33,34]. In our previous work [34], we found that magnetite was generated at heating rates of 86 • C/min. This did not occur when heating rates of 5.26 • C/min were used. In addition, it was noted that the particles were less crystalline when rates of 86 • C/min were applied. One alternative approach to avoid magnetite formation consists of the use of reducing agents such as ascorbic acid, pyrrole, urea, sucrose, citric acid, etc. [25,26,35,36] which might increase the cost of the process. The main objective of this work is to reduce the overall process reaction time while obtaining a LiFePO 4 as pure as possible, i.e., with less magnetite impurities and without any use of reducing agents. For this purpose, we have focused on the implementation of various combinations of slow and fast heating rates in order to determine the optimal time to start the fast heating step in a process that would start with a slow heating rate. Different hydrothermal synthesis experiments where a slow heating rate from room temperature to 50, 100, 150, 150, 200, 250, and 300 • C was followed by a fast heating stage to reach 300 • C have been carried out. A particularly crucial phenomenon has been observed in the temperature range between 130 and 150 • C, where slow heating rates produce particles with less magnetite impurities and higher crystallinity.

Equipment and Experimental Procedures
As a first stage of the work, crystalline LiFePO 4 particles were synthesized in a 0.3 L commercially available stainless-steel reactor (bolted closure packless autoclave) described in detail in a previous work [37]. These LiFePO 4 particles would be used as a reference or base to be compared with the particles obtained, in the second part of the study (14 mL batch reactors), using the combination of slow and fast heating rates, under the same temperature conditions. The exact moment at which the first crystalline nuclei of LiFePO 4 were generated in the reactor was also determined, with the aim of clarifying and solidly supporting the results obtained. The reactors fill ratio was adjusted so that the heating times were as close as possible between the two reactors in order to extrapolate the data.
The procedure to generate the base LiFePO 4 consisted of first placing 2.0392 g of LiOH·H 2 O and 4.5039 g of FeSO 4 ·7H 2 O in the reactor. Then, 180 mL of deionized water and 1.248 mL of H 3 PO 4 were added, the reactor was closed, and the mixture was stirred and purged with nitrogen to remove the oxygen. The selected molar ratio, in order to adjust the pH of mixture at 7, has been the same as the one used for the generation of LiFePO 4 particles using different configurations of heating rates in this work, being optimized and described in detail in a previous work [34] (Fe: PO 4 : Li; 0.9: 1.2: 2.7). The reaction medium was then heated up to 300 • C at a rate of 4 • C/min and cooled down to room temperature without stirring. Upon completion of the hydrothermal synthesis experiments, the final solution was collected from the reactor, centrifuged to separate the LiFePO 4 particles located at the bottom of the supernatant, and dried by means of an oven at 80 • C. More specific details can be found in our previous work [34].
For the study on the formation of the first crystalline nuclei of LiFePO 4 , the same procedure was used as for the generation of base LiFePO 4 . In this case, 3 experiments were carried out, where temperature was raised up to 130, 140, and 150 • C, respectively, at a rate of 4 • C/min, and then cooled down to room temperature.
For the generation of LiFePO 4 particles using different configurations of slow and fast heating rates, two heating systems were combined. The first method, consisting of a sand bath (Techne model TC-8D with a power of 4 kW), had been used in our previous work [34]. For the present work, a new method with a fluidized sand bath (Techne model SBL-2 with a power of 3 kW) was added. Thus, the heating system was made up of two fluidized sand baths, two compressors that introduced air into the baths to fluidize the sand, a temperature controller, and a reactor manufactured by our research team as detailed in a previous work [34]. The experimental procedure used to fill the 14 mL volume batch reactors to perform the hydrothermal synthesis of LiFePO 4 from the selected reagents, and the separation of the corresponding LiFePO 4 microcrystals obtained had been optimized and described in detail in a previous work [34]. The procedure is highly similar to that of the base LiFePO 4 , only that to enable agitation in small reactors, the necessary water is added in two parts.
The process to generate the LiFePO 4 , could be summarized in two stages. The first and shorter stage consists of the dissolution of the initial reagents (FeSO 4 + H 3 PO 4 + 3LiOH) in the water, which results in the formation of the intermediated reagents (Li 3 PO 4 and Fe 3 (PO 4 ) 2 ·8H 2 O) [38]. During Due to the autoproteolysis of the hydroxyl anions: Therefore: Finally, following the magnetite formation the following reaction takes place: Therefore, by increasing the Fe +2 concentration in the medium, the Schikorr reaction might accelerate.
In order to evaluate the possibility of improving the overall process, this study has focused in detailed the effect caused by different heating configurations, so that increments in the heating rate can be applied at different times during the hydrothermal synthesis. Thus, this influence from the different heating configurations has been closely analyzed to determine the critical temperature levels during the heating stage where a high heating rate can be implemented to improve the LiFePO 4 synthesis process, not only in terms of the crystallinity, morphology, and purity of the particles, but also with regard to the feasibility of the process.

Formation of the Base LiFePO 4
In order to carry out an adequate comparison of the crystallinity, purity, and morphology of the particles obtained from the subsequent experiments, we previously produced our own LiFePO 4 particles to be used as a reference. These will be referred to here as the "base LiFePO 4 ". Such base LiFePO 4 particles have to be generated under tightly controlled temperature and heating rate conditions (See Figure 1) according to the literature [15,16,18,23,24,40]. The reactor and experimental procedure have been described in Section 2.1. The base experiment was carried out under the same conditions as the rest of the experiments conducted in this work: i.e., the reaction medium was heated up to 300 • C, reached a pressure of 103 bar, was held under such conditions for 5 min, and then slowly cooled down to room temperature.

Study of the Formation of the First Crystalline Nuclei of LiFePO4
In order to perform an accurate analysis of the results from this study, it is necessary to determine the exact moment when the first crystalline nuclei of LiFePO4 appear. Given that LiFePO4 is generated when Fe3(PO4)2-8H2O begins to dissolve, and that this depends on the length of time required to heat the reaction medium, such length of time required by our reactors should be precisely determined in order to clarify this key point regarding the purity and crystallization of LiFePO4. According to the study carried out by J. Lee and A.S. Teja [16], the formation of the first crystalline nuclei would take place when the medium reaches between 120 and 190 °C, since only Fe3(PO4)2-8H2O appeared in the samples obtained at 120 °C, while the LiFePO4 particles were already visible in the samples produced at 190 °C. On the other hand, C. Min et al. [40], established that a large amount of LiFePO4 nuclei are rapidly formed when the medium temperature reaches values around 124-130 °C.
Considering the temperatures that have been already studied in the bibliography, the experiments were conducted at 130, 140, and 150 °C (reaching 1.01, 6.55 and 7.58 bar, respectively). The reactor and the experimental procedures have been described in Section 2.1.

Formation and Separation of LiFePO4 Microcrystals
The reactor heating procedure was as follows: First, the reactor was submerged into one of the fluidized sand baths still at room temperature (the bath heating system had not been turned on yet). Once inside, the sand bath was turned on and a slow heating rate of 4.44 °C/min was applied. When the target temperature set for each experiment was reached, the reactor was submerged into another sand bath, which had been previously heated and maintained at a constant temperature of 300 °C. Therefore, from the moment the reactor was submerged into the second sand bath until the moment the reactor reached 300 °C, the medium was subjected to a fast heating rate. Thereafter, the reactor was maintained at 300 °C for 5 min (reaction time) before being removed from the sand bath and kept in contact with the laboratory air until completely cooled down to room temperature (see Figure 2). Thus, the final reaction temperature was the same for all the experiments, but the heating time, and therefore the total time of each experiment, which comprises the heating time plus the 5 min reaction time at 300 °C, was different.

Study of the Formation of the First Crystalline Nuclei of LiFePO 4
In order to perform an accurate analysis of the results from this study, it is necessary to determine the exact moment when the first crystalline nuclei of LiFePO 4 appear. Given that LiFePO 4 is generated when Fe 3 (PO 4 ) 2 -8H 2 O begins to dissolve, and that this depends on the length of time required to heat the reaction medium, such length of time required by our reactors should be precisely determined in order to clarify this key point regarding the purity and crystallization of LiFePO 4 . According to the study carried out by J. Lee and A.S. Teja [16], the formation of the first crystalline nuclei would take place when the medium reaches between 120 and 190 • C, since only Fe 3 (PO 4 ) 2 -8H 2 O appeared in the samples obtained at 120 • C, while the LiFePO 4 particles were already visible in the samples produced at 190 • C. On the other hand, C. Min et al. [40], established that a large amount of LiFePO 4 nuclei are rapidly formed when the medium temperature reaches values around 124-130 • C.
Considering the temperatures that have been already studied in the bibliography, the experiments were conducted at 130, 140, and 150 • C (reaching 1.01, 6.55 and 7.58 bar, respectively). The reactor and the experimental procedures have been described in Section 2.1.

Formation and Separation of LiFePO 4 Microcrystals
The reactor heating procedure was as follows: First, the reactor was submerged into one of the fluidized sand baths still at room temperature (the bath heating system had not been turned on yet). Once inside, the sand bath was turned on and a slow heating rate of 4.44 • C/min was applied. When the target temperature set for each experiment was reached, the reactor was submerged into another sand bath, which had been previously heated and maintained at a constant temperature of 300 • C. Therefore, from the moment the reactor was submerged into the second sand bath until the moment the reactor reached 300 • C, the medium was subjected to a fast heating rate. Thereafter, the reactor was maintained at 300 • C for 5 min (reaction time) before being removed from the sand bath and kept in contact with the laboratory air until completely cooled down to room temperature (see Figure 2). Thus, the final reaction temperature was the same for all the experiments, but the heating time, and therefore the total time of each experiment, which comprises the heating time plus the 5 min reaction time at 300 • C, was different.

S50F
50 300 5 4.5 + 3 + 5 = 12.5 S100F 100 300 5 9 + 3 + 5 = 17 S150F 150 300 5 18 + 3 + 5 = 26 S200F 200 300 5 30 + 2.5 + 5 = 37.5 S250F 250 300 5 45 + 2 + 5 = 52 S300 300 -5 67.5 + 0 + 5 = 72.5 * Total time length of the synthesis process: slow heating + fast heating + reaction time.   Table 1 includes the operating conditions of the different hydrothermal synthesis (HS) experiments that combine slow and fast heating. In addition, in order to further consider the configuration range to be tested, two experiments with only one type of heating were carried out: (i) thus, experiment F300 was only subjected to fast heating up to 300 • C, while (ii) experiment S300 was only subjected to slow heating up to the same temperature. Figure 2 shows the evolution of the temperature profiles of the reaction medium over time for the HS experiments included in Table 1. Once the hydrothermal synthesis experiments were completed, the final solution was collected from the reactor, centrifuged, and dried, following the procedure already explained in Section 2.1.

Characterization
The structural properties of LiFePO 4 particles were analyzed by X-ray diffraction (XRD) by means of a Bruker D8 Discover A25 diffractometer (Bruker Española S.A., Madrid, Spain) using Cu Kα radiation, Ge monochromator, and a Lynxeye detector. The patterns were registered within the 10−80 • (2θ) range, according to a 140 s. step time. The lattice cell parameters, the crystallite size and the amount of impurities present in the synthesized LiFePO 4 were calculated using Topas software (Bruker Española S.A., Madrid, Spain) according to the full pattern matching method. The morphological properties of the samples were determined by means of a field-emission scanning electron microscope (FESEM) using a FEI-Nova Nano SEM 450 instrument (Izasa Scientific, Madrid, Spain). The presence of magnetite impurities in the synthesized LiFePO 4 was verified by X-ray diffraction and also by our own-built electromagnet to confirm the magnetic behavior of the samples.

Analysis of the Synthesized Base LiFePO 4
The purity and crystallinity of the synthesized base LiFePO 4 was determined by XRD. Figure 3 shows the XRD pattern of the LiFePO 4 powders synthesized in the HS base experiment, where the peaks in the different diffractograms closely match the standard LiFePO 4 pattern (JCPDS card no. PDF 40-1267). Moreover, no impurities (no magnetite) were detected in the diffractogram. lattice cell parameters, the crystallite size and the amount of impurities present in the sy thesized LiFePO4 were calculated using Topas software (Bruker Española S.A., Madr Spain) according to the full pattern matching method. The morphological properties the samples were determined by means of a field-emission scanning electron microsco (FESEM) using a FEI-Nova Nano SEM 450 instrument (Izasa Scientific, Madrid, Spai The presence of magnetite impurities in the synthesized LiFePO4 was verified by X-r diffraction and also by our own-built electromagnet to confirm the magnetic behavior the samples.

Analysis of the Synthesized Base LiFePO4
The purity and crystallinity of the synthesized base LiFePO4 was determined by XR Figure 3 shows the XRD pattern of the LiFePO4 powders synthesized in the HS base periment, where the peaks in the different diffractograms closely match the standa LiFePO4 pattern (JCPDS card no. PDF 40-1267). Moreover, no impurities (no magneti were detected in the diffractogram.
The refinement of the lattice parameters for the orthorhombic structure of the ba LiFePO4 with the Pnma space group provided the following values: a = 10.3328 Å, b 6.0043 Å, and c = 4.6977 Å, which is in accordance with the literature [41].
The crystallinity of the particles obtained in the base experiment was considered o timum, and, therefore, they were suitable to be used as the reference for this study. Th is, the particles obtained from the experiments, where different combinations of slow he ing and fast heating was implemented, were to be mainly compared against the cryst linity of the base LiFePO4. The refinement of the lattice parameters for the orthorhombic structure of the base LiFePO 4 with the Pnma space group provided the following values: a = 10.3328 Å, b = 6.0043 Å, and c = 4.6977 Å, which is in accordance with the literature [41].
The crystallinity of the particles obtained in the base experiment was considered optimum, and, therefore, they were suitable to be used as the reference for this study. That is, the particles obtained from the experiments, where different combinations of slow heating and fast heating was implemented, were to be mainly compared against the crystallinity of the base LiFePO 4. Figure 4 displays SEM images of the base LiFePO 4 , where flat and well-defined microparticles can be observed. Its morphology is dominated by face (010) that corresponds to diamond-shaped crystallites [42]. Thus, diamond-shaped platelets are less than 1 micron thick and their dimensions vary between 2-4 microns for the shortest diagonal and 6-8 microns for the longest one.    Figure 5 shows the XRD pattern of synthesized LiFePO4 powders produced at diff ent temperatures: 130, 140, and 150 °C. As can be observed, the samples that had be synthesized at 140 and 150 °C present the characteristic peaks that can be attributed to t orthorhombic olivine structure of LiFePO4. However, the sample that had been synth sized at 130 °C presented no evidence of any LiFePO4 content. Although, as previou mentioned, Min et al. [34] established that a large amount of LiFePO4 nuclei were form in the 124-130 °C range. Fe3(PO4)2-8H2O may be soluble within that temperature ran albeit the heating time employed in this study may have not been long enough to allo the generation of the first crystalline nuclei of LiFePO4. Therefore, even though it cann be affirmed that the first LiFePO4 crystalline nuclei are necessarily formed between 1 and 130 °C, it can be presumed that Fe3(PO4)2-8H2O begins to dissolve at around 130 ° so that this temperature level might be key to explain much of what happens in this p cess, which would make it worth a deeper discussion, as can be seen in Section 3.3.  Figure 5 shows the XRD pattern of synthesized LiFePO 4 powders produced at different temperatures: 130, 140, and 150 • C. As can be observed, the samples that had been synthesized at 140 and 150 • C present the characteristic peaks that can be attributed to the orthorhombic olivine structure of LiFePO 4 . However, the sample that had been synthesized at 130 • C presented no evidence of any LiFePO 4 content. Although, as previously mentioned, Min et al. [34] established that a large amount of LiFePO 4 nuclei were formed in the 124-130 • C range. Fe 3 (PO 4 ) 2 -8H 2 O may be soluble within that temperature range albeit the heating time employed in this study may have not been long enough to allow the generation of the first crystalline nuclei of LiFePO 4 . Therefore, even though it cannot be affirmed that the first LiFePO 4 crystalline nuclei are necessarily formed between 124 and 130 • C, it can be presumed that Fe 3 (PO 4 ) 2 -8H 2 O begins to dissolve at around 130 • C, so that this temperature level might be key to explain much of what happens in this process, which would make it worth a deeper discussion, as can be seen in Section 3.3. Nanomaterials 2021, 11, x FOR PEER REVIEW 9 of 21

Crystallinity and Purity of the LiFePO4 Particles
The purity and crystallinity of the synthesized particles was determined by XRD. Figure 6 shows the XRD patterns of LiFePO4 powders generated through the different experiments included in Table 1 and that corresponding to the base HS experiment. The peaks in all of the diffractograms closely match the reference pattern (JCPDS card no. PDF 40-1267). Therefore, the hydrothermal synthesis of LiFePO4 particles has been confirmed for all the experiments that have been carried out. On the other hand, the XRD patterns revealed magnetite impurities in some of the samples, as can be seen in Figure 6.

Crystallinity and Purity of the LiFePO 4 Particles
The purity and crystallinity of the synthesized particles was determined by XRD. Figure 6 shows the XRD patterns of LiFePO 4 powders generated through the different experiments included in Table 1 and that corresponding to the base HS experiment. The peaks in all of the diffractograms closely match the reference pattern (JCPDS card no. PDF 40-1267). Therefore, the hydrothermal synthesis of LiFePO 4 particles has been confirmed for all the experiments that have been carried out. On the other hand, the XRD patterns revealed magnetite impurities in some of the samples, as can be seen in Figure 6. Table 2 shows that only pure LiFePO 4 particles were generated in experiments S300 and S250F. On the other hand, all the particles that had been obtained from the experiments that implemented a fast heating rate before reaching 250 • C (F300, S50F, S100F, S150F, and S200F) presented magnetite impurities to a greater or lesser degree. This could be due to the dissolved form of Fe 3 (PO 4 ) 2 ·8H 2 O. It has been already mentioned (Section 2.2) that LiFePO 4 is generated when Fe 3 (PO 4 ) 2 ·8H 2 O releases Fe +2 into the medium, and this occurs at around 130 • C. Therefore, the generation of magnetite in samples F300, S50F, S100F, S150F, and S200F could be due to the high concentration of Fe +2 in the medium generated by the rapid solubilization of Fe 3 (PO 4 ) 2 ·8H 2 O, which in turn would allow the anaerobic oxidation of Fe +2 into Fe +3 by the water in the medium, as described by Schikorr reaction. On the other hand, the absence of magnetite in the samples S300 and S250F could be explained by the slow and gradual solubilization of most of the Fe 3 (PO 4 ) 2 ·8H 2 O, which did not cause the medium Fe +2 supersaturation. It is worth noting that substantial differences could be observed between the amount of magnetite generated in the F300, S50F, and S100F samples (higher magnetite peaks) against that generated in the S150F and S200F samples (lower magnetite peaks). This lesser amount of magnetite impurities could be mainly explained by the two following factors: firstly, a slow heating rate implemented over the solubilization stage of the Fe 3 (PO 4 ) 2 ·8H 2 O, (from 130 • C until 150 • C and from 130 • C until 200 • C; respectively) that causes the Fe +2 to be generated progressively in the medium, and thus the Schikorr reaction is minimized; secondly, at 150 • C, a certain amount of LiFePO 4 has already been generated and, consequently, there is a smaller amount of Fe +2 in the medium.  Table 2 shows that only pure LiFePO4 particles were generated in experiments S300 and S250F. On the other hand, all the particles that had been obtained from the experiments that implemented a fast heating rate before reaching 250 °C (F300, S50F, S100F, S150F, and S200F) presented magnetite impurities to a greater or lesser degree. This could be due to the dissolved form of Fe3(PO4)2·8H2O. It has been already mentioned (Section 2.2) that LiFePO4 is generated when Fe3(PO4)2·8H2O releases Fe +2 into the medium, and this occurs at around 130 °C. Therefore, the generation of magnetite in samples F300, S50F,  Regarding crystallinity (see Figure 6), significant differences can also be observed between the F300 S50F, S100F samples and the S150F, S200F, S250F, S300 samples. Thus, the former samples were less crystalline when compared with the base LiFePO 4 , which could be due to the rapid generation and growth rate of the LiFePO 4 particles as a consequence of the medium Fe +2 supersaturation. Consequently, this rapid particle growth would lead to a poor crystallization, i.e., a poor rearrangement of the atoms in space. On the other hand, the latter samples, which had been subjected to slow heating over 130 • C, presented a substantially improved crystallization. Particularly, the samples from experiment S150F exhibited an optimum crystallization level. In fact, the samples obtained at temperatures over 130 • C did not present any improved crystallinity but rather a poorer one was observed. According to our previous study [34], maintaining the LiFePO 4 particles at high temperatures (300 • C) for a long time would negatively affect their crystallinity. This could explain why the sample from experiment S150F was the most crystalline, given that the LiFePO 4 particles that had been formed in the 130 to 150 • C temperature range took just around 8.5 min to reach 300 • C from the moment they had been formed. This means that the length of time that they were subjected to high temperatures was relatively short (see Table 3). The high crystallinity of the S150F sample can be seen in Figure 7, where it is compared against the base sample and a close similarity can be observed. Therefore, an abrupt change with respect to the generation of magnetite impurities and crystallinity was observed between the S100F and S150F samples that would allow to separate them into two groups as follows: samples F300, S50F, and S100F would fall into the low crystalline particles with extremely high magnetite peaks; while samples S150F, S200F, S250F, and S300 would be classified as highly crystalline particles with low or no magnetite peaks. Figure 7 shows the XRD patterns in more detail, so that the characteristic peak of the base LiFePO 4 as well as those of S100F, S150F, and S200F samples can be observed. Furthermore, Figure 7 includes the diffractogram of the LaB 6 sample, which was measured under the same conditions as the base LiFePO 4 and the S100F, S150F, and S200F samples, so that their crystallite size would be more accurately measured after removing the instrumental broadening. The full widths at half maximum (FWHM) of the peaks (101), (301), and (311) of the synthesized samples were considered to determine the size of the crystallite (D) according to Debye-Scherrer equation: where λ is the X-ray wavelength in nanometers (nm), β is the full width at half maximum of the peak in radians, θ is the scattering angle in radians, and k is a constant related to crystallite shape, at 0.9 for the Bragg reflections of LiFePO 4 . The instrumental broadening effect on FWHM was removed using Warren's method on the assumption of a Gaussian peak [43]: where β instrumental is referred to LaB 6 peaks at 21 Figure 7. XRD patterns of synthesized Base LiFePO4 vs. S150F. The LaB6 sample (blue line) was used as the benchmark to determine the instrumental broadening. Table 4 shows that the lattice parameters of the LiFePO4 particles were similar for all the samples. The Scherrer crystallite size (D) was much smaller than the particle size in every case. The average size of the base LiFePO4 sample was 82.5 nm, while the S150F sample was 34.26 nm, the S150F sample was 66.6 nm and the S200F sample was 39.23 nm according to Scherrer's equation. Therefore, Dbase LiFePO4 > DS150F LiFePO4 > DS100F LiFePO4 > DS200F LiFePO4 due to a further growth of the crystals during the synthesis process. This claim can be confirmed by comparing the following SEM images: base LiFePO4 (Figure 3), S100F, S150F, and S200F ( Figure 8B-D, respectively).  Table 4 shows that the lattice parameters of the LiFePO 4 particles were similar for all the samples. The Scherrer crystallite size (D) was much smaller than the particle size in every case. The average size of the base LiFePO 4 sample was 82.5 nm, while the S150F sample was 34.26 nm, the S150F sample was 66.6 nm and the S200F sample was 39.23 nm according to Scherrer's equation. Therefore, D base LiFePO 4 > D S150F LiFePO 4 > DS100F LiFePO 4 > D S200F LiFePO 4 due to a further growth of the crystals during the synthesis process. This claim can be confirmed by comparing the following SEM images: base LiFePO 4 (Figure 3), S100F, S150F, and S200F ( Figure 8B-D, respectively). erials 2021, 11, x FOR PEER REVIEW 15 of 21 In Figure 8A,B show that the reaction mediums that had not been slowly heated to a temperature of at least 130 °C generated products with widely varied morphology, where particles with fewer edges stand out (S50F, S100F). However, the samples that had been slowly heated over 130 °C (pictures C-F) presented a clear morphology mostly formed by hexagonal microparticles (S150F, S200F, S250F, and S300). In order to contrast and clearly demonstrate the crystals generated with a greater number of facets on the samples showed in Figure 8C-F, the five high peaks corresponding to the planes were selected as follows: (2 0 0), (1 0 1), (1 1 1), (0 2 0), and (3 0 1), and they were compared with the most intense peak corresponding to the (3 1 1) plane (Table 5). The intensity ratios confirm the increasing trend that appears when the samples are generated by slow heating up to over 130 °C, by which the particles form a greater number of faces. It has, therefore, be demonstrated how the supersaturation of Fe +2 in the medium has a remarkable impact.
It should also be noted that that the hexagonal particles in sample S150F (see Figure  8) are evidently thinner, i.e., they have a shorter channel length [010] (see Figure 9). Given that Ceder et al. [44], had already demonstrated that lithium-ion diffusion is several orders of magnitude greater in the [   In addition, the XRD patterns were fitted following the Rietveld method and the orthorhombic space group Pnma. Thus, the amount of magnetite impurities in the S100F, S150F and S200F samples (17.89%, 3.04%, and 2.81% of Fe 3 O 4 , respectively) were quantified and compared against that of the base LiFePO 4 sample (0.26% of Fe 3 O 4 ).
Thereby, the values obtained for the samples studied confirmed the abrupt change presented by the interface of the S100F and S150F samples with regard to magnetite impurity and crystallinity, which made clear that the process requires the use of a reducing agent.
It can be, therefore, be considered that the heating rate within the 130-150 • C temperature range represents a crucial factor if highly crystalline and pure particles are to be obtained while using a smaller amount of reducing agents so that process costs can be kept under control.

Growth Orientation and Morphology of the LiFePO 4 Particles
In order to investigate the effect from different heating configurations on the morphology and size of the LiFePO 4 particles, all the samples were subjected to SEM analysis (see Figure 8).
In Figure 8A,B show that the reaction mediums that had not been slowly heated to a temperature of at least 130 • C generated products with widely varied morphology, where particles with fewer edges stand out (S50F, S100F). However, the samples that had been slowly heated over 130 • C (pictures C-F) presented a clear morphology mostly formed by hexagonal microparticles (S150F, S200F, S250F, and S300). In order to contrast and clearly demonstrate the crystals generated with a greater number of facets on the samples showed in Figure 8C-F, the five high peaks corresponding to the planes were selected as follows: (2 0 0), (1 0 1), (1 1 1), (0 2 0), and (3 0 1), and they were compared with the most intense peak corresponding to the (3 1 1) plane (Table 5). The intensity ratios confirm the increasing trend that appears when the samples are generated by slow heating up to over 130 • C, by which the particles form a greater number of faces. It has, therefore, be demonstrated how the supersaturation of Fe +2 in the medium has a remarkable impact.
It should also be noted that that the hexagonal particles in sample S150F (see Figure 8) are evidently thinner, i.e., they have a shorter channel length [10] (see Figure 9). Given that Ceder et al. [44], had already demonstrated that lithium-ion diffusion is several orders of magnitude greater in the [10] direction than in the [1] and [101] directions, and also that M. Saiful Islam et al. [45] proved through simulations, that the energy of Li-ion migration was lower in the [10] [10] is a crucial factor to determine particle functionality. The increment in length that experiments the main diffusion channel of lithium ions as the slow heating time is increased (S200F, S250F and S300) may be due to the growth pattern followed by these particles (dissolutioncrystallization by Ostwald Ripening, OR) [38]. Even though the particles grow at a greater extent in other directions rather than in the [10] direction of the channel, it is a fact that they also grow in this direction over time. It should also be highlighted how as the heating time increases, size variations are also reduced. This has been corroborated by the results obtained from the different heating configurations applied in the experiments. For example, the particles in sample S150F (as can be seen in Table 3) are formed for 5.5 min under slow heating conditions, and later on, for another 3 min, more particles are formed under fast heating conditions. This difference is less pronounced for example in the S300 sample. example in the S300 sample.
Therefore, it has been demonstrated that heating is a same level as pH or lithium concentration regarding the ge phology, just as K. Dokko et al. [46], had already reported.

Conclusions
Our study has demonstrated that the configuration of th significant impact on the hydrothermal synthesis of LiFePO4 timal values to be applied to such heating procedure in orde ance between particle quality and industrial viability could b vative contribution by our study.
Industrial processes generally aim at the rapid product resources and operating costs can be reduced. According to t present study, when high heating rates are implemented (F particles present widely varying morphology, poor crys amounts of magnetite impurities. On the contrary, the pa through slow heating exhibited the opposite characteristics, good crystallinity, and lower magnetite content, even if their present some difficulties associated with the long times that the particles (67.5 min in the case of S300 samples).
It has also been confirmed that an abrupt change can b S150F samples interfaces, with quite significant variations in in magnetite impurities content (17.89% and 3.04%, respecti the separation of the samples into two groups as follows: firs samples, with low crystalline particles and extremely high m the S150F, S200F, S250F, and S300 samples, containing highly senting low or no magnetite peaks. Therefore, it has been v Therefore, it has been demonstrated that heating is a really essential factor at the same level as pH or lithium concentration regarding the generation of an optimal morphology, just as K. Dokko et al. [46], had already reported.

Conclusions
Our study has demonstrated that the configuration of the heating procedure poses a significant impact on the hydrothermal synthesis of LiFePO 4 microparticles. Thus, the optimal values to be applied to such heating procedure in order to achieve the desired balance between particle quality and industrial viability could be deemed as the main innovative contribution by our study.
Industrial processes generally aim at the rapid production of particles, so that both resources and operating costs can be reduced. According to the results obtained from the present study, when high heating rates are implemented (F300 samples), the resulting particles present widely varying morphology, poor crystallinity, and considerable amounts of magnetite impurities. On the contrary, the particles that were generated through slow heating exhibited the opposite characteristics, i.e., consistent morphology, good crystallinity, and lower magnetite content, even if their industrial production could present some difficulties associated with the long times that would be required to form the particles (67.5 min in the case of S300 samples).
It has also been confirmed that an abrupt change can be observed in the S100F and S150F samples interfaces, with quite significant variations in their crystallinity as well as in magnetite impurities content (17.89% and 3.04%, respectively). This fact has allowed the separation of the samples into two groups as follows: firstly, the F300, S50F and S100F samples, with low crystalline particles and extremely high magnetite peaks; and secondly the S150F, S200F, S250F, and S300 samples, containing highly crystalline particles and presenting low or no magnetite peaks. Therefore, it has been verified that the samples that were subjected to slow heating rates above the minimum LiFePO 4 particle formation temperature (130 • C) notably improved their crystallinity and reduced their magnetite content, with sample S150F presenting an optimum crystallinity and morphology.
It can generally be concluded that for the formation of large amounts of LiFePO 4 particles with good crystallinity levels, it is essential to implement low heating rates within the 130-150 • C temperature range. This would reduce the solubilisation of Fe 3 (PO 4 ) 2 ·8H 2 O that starts off within that temperature range and causes the medium Fe +2 supersaturation and its subsequent oxidization, which in turn results in a poorer crystallization of the LiFePO 4 particles. Nevertheless, rather long operating times are still required and the use of reducing agents, even if at lesser amounts, would be highly recommended.
In order to reduce operating times and improve industrial viability, the following procedure should be used: extremely fast heating from room temperature to 130 • C, low heating rate from 130 • C to 150 • C, and a final fast heating rate period until the desired final temperature is reached. Thanks to the actual capacity of the current industrial means to implement this fast heating rate in just a few seconds, this procedure should allow the production of optimally crystallized and rather size-consistent particles in just a few minutes. In addition, this process time could be further reduced by adding organic acids to the hydrothermal synthesis, such as J. Ni et al. [47] have already demonstrated.
In an attempt to summarize and clearly display the conclusions reached by this study, the effects from the varying parameters that have been analyzed are presented in Table 6. Table 6. Summary of effects from the varying parameters considered in this study on the following particle characteristics: purity, crystallinity, morphology, and size.

Samples
Purity