Five kinds of mixed chlorides were prepared by mixing KCl, NaCl, and MgCl₂ at different mixed ratios according to the literature and FactSage prediction. The purities of the chloride salts were >99.9% for NaCl purchased from VWR BDH Chemicals, the purities of KCl and anhydrous MgCl₂ were both 99%, purchased from Acros Organics and Alfa Aesar, respectively. Since MgCl₂ may absorb H₂O from the moisture under air, all salt mixtures were prepared inside a glove box under argon atmosphere (argon 5.0, 99.999%, O₂ < 0.5 ppm, H₂O < 10 ppm). In addition, MgCl₂ was held at 150°C for 18 h to remove the most hydrated water and avoid hydration. Subsequently, around 5.0 g of each salt mixture was prepared from stoichiometric weighing of each single chloride salt, followed by mixing and grinding for at least 20 min manually to ensure homogenization. For the DSC analysis, around 10–20 mg sample was transferred into aluminum crucibles, a pierced lid was placed on top of the crucible, and then hermetically sealed with a sealing press from Netzsch. Then, the samples were carefully transported in a desiccator from the glovebox to the DSC apparatus to avoid atmospheric exposure and salt hydration.

Thermal analysis was carried out with a differential scanning calorimeter DSC 404 from Netzsch using aluminum crucibles under argon atmosphere (Argon 5.0), which was temperature-calibrated using Netzsch standard materials (In, Bi, Zn) in a temperature range of 100–480°C. Three heating and cooling runs from room temperature up to 480°C were performed in total to avoid discrepancies in the melting temperature produced by the traces of hydrated MgCl₂. The same heating and cooling rates (10°C/min) were applied for all samples to allow qualitative comparison of the melting point between the samples and using an empty pan as a reference. The first cycle was used for the removal of traces of absorbed water followed by pre-melting and homogenization of the mixture. For the phase diagrams, the onset of the melting peak during heating was extracted since it represents the melting temperature of the salt mixture.

FactSage is a commercial thermochemical databank system running in a Windows environment with the modules of Information, Database, Calculation, and manipulation (https://www.factsage.com/). This study utilizes version 7.2 of this software. Calculation is the main module of FactSage, which is based on the minimum Gibbs-free energy and CalPhaD (calculation of phase diagrams) theory to predict the equilibrium conditions of a system (Bale et al., 2016). It includes the submodules such as Reaction, Predom, EpH, Equilib, Phase Diagram, and Optisage. FactSage gives access to databases of thermodynamic data for thousands of compounds, including hundreds of liquid and solid metals, liquid and solid oxides, molten and solid salts, and aqueous solutions. In this study, the submodule Phase Diagram was used to simulate the binary and ternary phase diagrams of the MgCl₂–KCl–NaCl salt system to support the experimental determination of the minimum melting temperature composition and melting temperature via DSC.

There have been numerous studies to investigate the binary KCl–MgCl₂, KCl–NaCl, and MgCl₂–NaCl mixtures and their compositions as candidate materials for thermal energy storage. The phase diagrams of the KCl–MgCl₂ and MgCl₂–NaCl binary systems were experimentally studied by Menge (1911) (Menge, 1911) as well as the binary NaCl–KCl by Kurnakow (1907) (Kurnakow and Zhemchuzhnui, 1907). Later, Janz, Scholich, and Jänecke (Scholich, 1920; Jänecke, 1950; Janz et al., 1975; Janz and Tomkins, 1981) confirmed those results and discussed their thermophysical properties.

In the review of the literature published by Rowe et al. (Rowe et al., 1972), three eutectic compositions, namely, E₁, E₂, and E₃ are reported for the KCl–MgCl₂ system. The compositions are 58 mol% MgCl₂ for E₁ with a eutectic temperature of 470°C, 36 mol% MgCl₂ for E₂, and 30 mol% MgCl₂ for E₃ with a eutectic temperature of 431 and 430°C, respectively. Polimeni et al. (Polimeni et al., 2018) as well as Xu et al. (Xu et al., 2018a) evaluated the KCl–MgCl₂ binary mixture as the HTF in CSP solar tower configuration. In 2016, The National Renewable Energy Laboratory (NREL) considered the eutectic binary mixture MgCl₂–KCl (37.5–62.5 wt%, 32.0–68.0 mol%, melting temperature of 426°C) as the TES/HTF in the next-generation CSP system.

For the KCl–NaCl binary mixture, Kurnakow (Kurnakow and Zhemchuzhnui, 1907) found that this system forms a complete solid solution which unmixes at lower temperatures. The minimum temperature of 664°C is located between 50–51 mol% KCl.

The MgCl₂-NaCl system was experimentally studied by Menge (Menge, 1911) with a eutectic temperature of 430°C for a composition of 56 mol% NaCl and later, Rowe et al. (Rowe et al., 1972) summarized previous results with a eutectic temperature of 450°C for 62 mol% NaCl.

The binary phase diagrams of KCl–MgCl₂, KCl–NaCl, and MgCl₂–NaCl have been estimated using the Phase Diagram module as well as the FTsalt database which contains data of the species Mg, K, and Na chloride, and the temperature range was chosen between 350–850°C. The binary phase diagrams of the KCl–MgCl₂, KCl–NaCl, and MgCl₂–NaCl estimated with FactSage are shown in Figure 2. The compositions mentioned here are all based on mole fractions.

According to FactSage 7.2, the KCl–MgCl₂ system presents three eutectic temperatures at 472.72°C, 428.96 °C, and 422.68°C with the intermetallic KMgCl₃, K₃Mg₂Cl₇, and K₂MgCl₄ respectively, which are in good agreement with the literature data for E₁ and E₂ (Rowe et al., 1972). Discrepancies in the eutectic temperature for E₃ are 8°C lower than the previous reported temperature.

For the KCl–NaCl binary mixture, the formation of the solid solution can be confirmed with a minimum temperature of 656.35°C and a composition of 50.23 mol% NaCl which is good agreement with the previous reported data from Rowe and Kurnakow (Rowe et al., 1972; Kurnakow and Zhemchuzhnui, 1907).

The MgCl₂-NaCl system exhibits eutectic temperature at 459.14°C with a composition of 57 mol% NaCl followed by the formation of the compounds NaMgCl₃ and Na₂MgCl₄ that leads to a peritectic transformation at 465 and 474°C, respectively.

Compared to the KCl–NaCl and MgCl₂–NaCl phase diagrams, the KCl–MgCl₂ has the lowest melting temperature of 422.68°C. These three binary phase diagrams are important as the starting point of the evaluation of the ternary phase diagram.

These results of the binary chloride salt simulation include different eutectic, peritectic, and solid-solution compositions. Those invariant points are summarized in Table 1 at 1 atm in the temperature range 350–850°C.

In the first MgCl₂–KCl–NaCl ternary diagram presented by Scholich in 1920 (Scholich, 1920), no ternary compounds but incongruently melting binary compounds, such as Na₂MgCl₄, and the congruently melting binary KMgCl₃ were reported. Below 480°C, MgCl₂ is insoluble in the (NaCl + KCl) solid solution. This was confirmed by Chartrand and Pelton (Chartrand and Pelton, 2001) who reported evidence of the solid solubility between Na₂MgCl₄–K₂MgCl₄ and NaMgCl₃–KMgCl₃.

Further studies by Bradwell et al. (Bradwell et al., 2012) have used the composition 30 mol% NaCl, 20 mol% KCl, and 50 mol% MgCl₂ as the molten electrolyte with a melting temperature of 396°C. In a recent work, Li et al. (Li et al., 2017) investigated a variety of compositions with a minimum temperature between 383–396°C. Xu et al. (Xu et al., 2018b) experimentally studied different compositions of the ternary mixture in the range of 40–50 mol% MgCl₂, in which the minimum temperature at 405°C was found for a composition of 27.5 mol% NaCl, 32.5 mol% KCl, and 40 mol% MgCl₂. Mohan et al. (Mohan et al., 2018a; Mohan et al., 2018b) experimentally validated the ternary mixture by DSC with a melting temperature of 387°C for the composition reported by Jänecke and Nemecek (Jänecke, 1950; Nemecek et al., 1978) of 45.4 mol% MgCl₂, 21.6 mol% KCl, 33 mol% NaCl.

As suggested by Fink et al. (Xu et al., 2018b), the ternary system is incomplete in consequence of missing compounds in the binary systems. Variations of the salt compositions from different literature sources in this mixture lead to slight differences in the minimum melting temperature. For this reason, different liquid–solid transitions have been reported with the solid phases NaMgCl₃, KMgCl₃, K₃Mg₂Cl₇, Na₂MgCl₄, and K₂MgCl₄ which should be considered in order to select the correct minimum temperature and eutectic composition since discrepancies are linked to incomplete identification of those compounds (Baek et al., 2016).

According to Fink and Neil (Fink and Seifert, 1984; Neil et al., 1965), as well as evidenced by the binary MgCl₂–NaCl and KCl–MgCl₂ systems presented in Figure 2, the presence of incongruently melting compounds leads to peritectic transformations and intermediate compounds. Podlesnyak and Orekhova (Podlesnyak et al., 1987) have experimentally measured the MgCl₂–KCl–NaCl ternary system by conductivity techniques in which the ternary compound NaKMgCl₄ is reported and associated with a peritectic at 398°C, and Chartrand et al. (Chartrand and Pelton, 2001) measured the KMgCl₃–NaCl section in the ternary phase diagram shown in Figure 3. The eutectic KMgCl₃/NaCl mixture has the melting temperature of around 400°C and 35–45 mol% NaCl (Chartrand and Pelton, 2001).

The salt compositions and minimum melting temperature data from literature are summarized for comparison in Table 2. The discrepancies of minimum melting temperature compositions are relatively high (standard deviation of about 2 mol% for each salt species), while the reported minimum melting temperatures are in the range of 385–400°C.

In this section, a thermodynamic simulation was performed using FactSage 7.2. The ternary phase diagram of MgCl₂–KCl–NaCl have been estimated using the Phase Diagram module as well as the FTsalt database which contains data of the species Mg, K, and NaCl, and the temperature range was chosen between 350–850°C. This ternary phase diagram was estimated through the first melting temperature projection and, all compositions are referred on mole fractions.

According to FactSage simulation shown in Figure 4, the zone in which the minimum temperature is located corresponds to a composition of 30.2 mol% NaCl, 22.7 mol% KCl, and 47.1 mol% of MgCl₂ with a minimum temperature of 385.4°C compared to the minimum temperature of 383°C for 32.96 mol% NaCl, 21.62 mol% KCl, and 45.42 mol% MgCl₂ previously reported by Mohan et al. (Mohan et al., 2018a; Villada et al., 2019), as well as the average and standard deviation of the minimum melting temperature salt composition from Table 2. In addition, the eutectic composition is formed by the compounds KMgCl₃ + NaMgCl₃ (36–64 mol%) according to our thermodynamic analysis. This implies that the theoretical exact eutectic composition of MgCl₂–KCl–NaCl is 50–18–32 mol%. In the KMgCl₃/NaCl section from the ternary system, it has also been reported previously that the eutectic point at about 400°C (Fink and Seifert, 1984; Chartrand and Pelton, 2001).

Since there are limited experimental measurements for the MgCl₂–KCl–NaCl ternary system, more detailed discussion is useful in understanding the minimum melting temperature and composition of this mixture. The minimum melting temperature and related eutectic composition of the MgCl₂–KCl–NaCl ternary system were validated by DSC experiments on the salt mixtures (Samples A–D) from the literature listed in Table 2 and the predicted salt mixture (Sample E) 30.2 mol% NaCl, 22.7 mol% KCl, and 47.1 mol% of MgCl₂ in this work. The DSC heating and solidification curves of the five compositions are given in Figure 5.

Figure 5 (a) shows the melting temperature which is taken from the onset of the main endothermic peak at the heating cycle from the DSC curve, excluding the water losses in the first cycle. There is only one main melting peak at approximately 388.5°C in all curves, as would be expected for a congruent melting compound. Moreover, an overlapping melting peak (Sample B, C, and E) or a plateau (Sample D) can be observed which implies that the salt mixture is not completely eutectic. A similar phenomenon can be observed in the solidification curves. The onset temperature of the main endothermic peak in the heating curve is about 3°C higher than the predicted temperature value by FactSage. The end temperatures of phase transition during heating were between ∼405 and 425°C. The melting temperatures for the five salt compositions measured via DSC in this work are slightly higher than the melting temperatures reported in Table 2. The experimental results show that among these five salt compositions, the composition of Sample A (MgCl₂–KCl–NaCl 49.0–18.5–32.5 mol%) is shown to be very close to the exact eutectic composition, as almost no secondary peak can be found in the heating and solidification curve. This also agrees with the fact that the composition of Sample A is closer to the theoretical exact eutectic composition.

The melting temperature is a key parameter in the development of next-generation molten chloride salts, and it is represented by the onset of the DSC melting peak for a minimum melting temperature or eutectic mixture. From previous experience in our group with molten nitrate salts, the melting temperature of minimum melting temperature compositions can be successfully determined by differential scanning calorimetry—DSC (e.g., ASTM E794 (Bonk et al., 2018)). For mixtures with a melting range, the liquids temperature is relevant. A simple endset or peak maximum measurement as reported by some authors is misleading due to the influence of heating rates, sample mass, and composition (Yu-ting et al., 2017). Overall, the minimum operating temperature of the MgCl₂–KCl–NaCl ternary system for sensible TES applications should not exceed 420°C assuming a melting temperature of about 390°C and the recommended safety margin of 30°C for CSP applications (Bonk et al., 2018). It can also be seen from this work that the composition values for the minimum melting temperature are usually referred to compositions of 44.7–49 mol% MgCl₂, 18.5–25.8 mol% KCl, and 29.4–33 mol% NaCl.

The melting temperatures of the ternary MgCl₂–KCl–NaCl system with different compositions, including this work, are listed in Table 3. All onset values are mostly around 388.40 ± 0.55°C. The variations of the DSC liquidus temperature for the five different ternary mixtures at 10 K/min are shown in Figure 6, in which the influence of each single chloride from the ternary mixture is notable. Both NaCl and MgCl₂ contribute to a decrease in the liquidus temperature, whereas the KCl content increases the liquidus temperature. The results confirm the main conclusion in the last subsection that the composition of Sample A (MgCl₂–KCl–NaCl 49.0–18.5–32.5 mol%), which has the highest MgCl₂ content and lowest KCl content, is closer to the exact eutectic composition.