Multi-element liquid metal battery

Abstract

An electrochemical cell including: a negative electrode including calcium and an alkali metal; a positive electrode including one or more elements selected from the group consisting of Al, Si, Zn, Ga, Ge, Cd, In, Sn, Sb, Hg, Tl, Pb, Bi, Te, Bi, Pb, Sb, Zn, Sn and Mg; and an electrolyte including a salt of calcium and a salt of the alkali metal. The electrolyte is configured to allow the cations of the calcium and alkali metal to be transferred from the negative electrode to the positive electrode during discharging and to be transferred from the positive electrode to the negative electrode during charging. The electrolyte exists as a liquid phase and one or both of the negative electrode and the positive electrode exists as liquid or partially liquid phases at operating temperatures of the electrochemical cell.

Claims

1. An electrochemical cell configured to exchange energy with an external device, the electrochemical cell comprising: a negative electrode comprising at least a first active metal and a second active metal, wherein the first active metal is calcium and the second active metal is an alkali metal; a positive electrode comprising one or more elements selected from the group consisting of Al, Si, Zn, Ga, Ge, Cd, In, Sn, Sb, Hg, Tl, Pb, Bi, Te, and Mg; and an electrolyte comprising a cation of calcium and a cation of the alkali metal, the electrolyte configured to allow the cations of the calcium and the alkali metal to be transferred from the negative electrode to the positive electrode during discharging and to be transferred from the positive electrode to the negative electrode during charging, wherein the electrolyte exists as a liquid phase and one or both of the negative electrode and the positive electrode exists as liquid or partially liquid phases at operating temperatures of the electrochemical cell.

2. The electrochemical cell of claim 1, wherein the alkali metal is lithium.

3. The electrochemical cell of claim 1, wherein the negative electrode, the positive electrode or both further includes a diluent.

4. The electrochemical cell of claim 3, wherein the diluent is an alkaline earth metal.

5. The electrochemical cell of claim 4, wherein the alkaline earth metal is magnesium.

6. The electrochemical cell of claim 1, wherein the electrolyte includes a halide salt of the alkali metal and a halide salt of calcium.

7. The electrochemical cell of claim 1, wherein the electrolyte includes lithium chloride.

8. The electrochemical cell of claim 1, wherein the electrolyte includes lithium chloride, potassium chloride, and calcium chloride.

9. The electrochemical cell of claim 1, wherein the negative electrode includes a calcium-magnesium-lithium alloy and the electrolyte includes a lithium salt and a calcium salt.

10. The electrochemical cell of claim 9, wherein the lithium salt and calcium salt are each independently selected from the group consisting of halides, oxides, chalcogenides, perchlorates, sulfates, sulfites, carbonates, nitrates, nitrites, hydroxides and combinations thereof.

11. The electrochemical cell of claim 1, wherein the positive electrode comprises one or more elements selected from the group consisting of bismuth, lead, antimony, zinc, tin, and magnesium.

12. A method of exchanging electrical energy with an external circuit, the method comprising: connecting the electrochemical cell of claim 1 to the external circuit; and operating the external circuit so as to drive transfer of the calcium and the alkali metal between the positive electrode and the negative electrode.

13. The method of claim 12, wherein the alkali metal is lithium.

14. The method of claim 12, wherein the negative electrode, the positive electrode or both further includes a diluent.

15. The method of claim 14, wherein the diluent is an alkaline earth metal.

16. The method of claim 15, wherein the alkaline earth metal is magnesium.

17. The method of claim 12, wherein the electrolyte includes a halide salt of the alkali metal and a halide salt of calcium.

18. The method of claim 17, wherein the electrolyte includes lithium chloride, potassium chloride, and calcium chloride.

19. The method of claim 12, further comprising forming a calcium-magnesium-lithium alloy in the negative electrode when the cell is in operation.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) The foregoing features of embodiments will be more readily understood by reference to the following detailed description, taken with reference to the accompanying drawings, in which:

(2) FIG. 1 is a vertical cross-sectional view showing an electrochemical cell according to embodiments of the present invention.

(3) FIGS. 2A-2C are vertical cross-sectional views illustrating the charging process of an electrochemical cell according to embodiments of the present invention. FIG. 2A shows when the cell is discharged, FIG. 2B shows when the cell is in operation and connected to a source of energy (charging circuit), and FIG. 2C shows when the cell is fully charged.

(4) FIGS. 3A-3C are vertical cross-sectional views illustrating the discharging process of an electrochemical cell according to embodiments of the present invention. FIG. 3A shows when the cell is fully charged, FIG. 3B shows when the cell is in operation and connected to a load, and FIG. 3C shows when the cell is discharged.

(5) FIG. 4 is a graph of cell voltage as a function of capacity for a CaMg (20-80 mol %)|LiClCaCl.sub.2|Bi cell at various current densities at 650 C. operating temperature according to embodiments of the present invention.

(6) FIG. 5A is a graph of cell voltage as a function of capacity for a CaMg (20-80 mol %)|LiClCaCl.sub.2CaO|Bi cell at various current densities, and FIG. 5B is a graph of capacity density/efficiency as a function of cycle number for the cell showing coulombic efficiency, discharge capacity, and energy efficiency at 650 C. operating temperature according to embodiments of the present invention.

(7) FIG. 6A is a graph of cell voltage as a function of capacity for a CaMg (90-10 mol %)|LiClCaCl.sub.2|Bi cell at various current densities, and FIG. 6B is a graph of capacity density/efficiency as a function of cycle number for the cell showing coulombic efficiency, discharge capacity, and energy efficiency at 650 C. operating temperature according to embodiments of the present invention.

(8) FIG. 7A is a graph of cell voltage as a function of capacity for a CaMg (90-10 mol %)|LiClCaCl.sub.2|Bi cell at various current densities, and FIG. 7B is a graph of capacity density/efficiency as a function of cycle number for the cell showing coulombic efficiency, discharge capacity, and energy efficiency at 550 C. operating temperature according to embodiments of the present invention.

(9) FIG. 8A is a graph of capacity density/efficiency as a function of cycle number for a CaMg (90-10 mol %)|LiClCaCl.sub.2|Bi cell, and FIG. 8B is a graph of cell voltage as a function of time for the cell for various cycles at 550 C. operating temperature according to embodiments of the present invention.

(10) FIG. 9A is a graph of cell voltage as a function of capacity for a CaMg (90-10 mol %)|LiClCaCl.sub.2|Pb cell at various current densities, and FIG. 9B is a graph of capacity density/efficiency as a function of cycle number for the cell showing coulombic efficiency, discharge capacity, and energy efficiency at 650 C. operating temperature according to embodiments of the present invention.

(11) FIG. 10A is a graph of cell voltage as a function of capacity for a CaMg (90-10 mol %)|LiClCaCl.sub.2|Sb cell at various current densities, and FIG. 10B is a graph of capacity density/efficiency as a function of cycle number for the cell showing coulombic efficiency, discharge capacity, and energy efficiency at 650 C. operating temperature according to embodiments of the present invention.

(12) FIG. 11A is a graph of cell voltage as a function of capacity for a CaMg (90-10 mol %)|LiClCaCl.sub.2|PbMg (82-18 mol %) cell at various current densities, and FIG. 11B is a graph of capacity density/efficiency as a function of cycle number for the cell showing coulombic efficiency, discharge capacity, and energy efficiency at 550 C. operating temperature according to embodiments of the present invention.

DETAILED DESCRIPTION OF SPECIFIC EMBODIMENTS

(13) As used in this description, the term battery may encompass individual electrochemical cells or cell units having a positive electrode, a negative electrode, and an electrolyte, as well as configurations having an array of electrochemical cells.

(14) Embodiments of the present invention include liquid metal batteries, which have liquid active components that offer fast kinetics and remarkably low capacity fade resulting in long cycle life. Furthermore, the self-segregating design with no need for membranes or separators lends itself to simple manufacturing of large-scale systems with low cost materials. Embodiments disclose, not only another step towards improving cell performance, but also a new concept, namely, a multi-element liquid metal battery in which a plurality of active metals participate in faradaic reactions thereby improving the performance (e.g., efficiency, energy storage capacity) of the device.

(15) In a multi-element liquid metal battery, the negative electrode includes two or more active metals N1, N2, etc., all of which are involved in energy-exchanging, faradaic reactions during charge/discharge. In some cases, other metals, that do not adversely affect the energy-exchanging faradaic reactions, are also contained in the negative electrode. Such spectator metals are termed herein as diluents and are added in order to decrease the liquidus temperature of the negative electrode, and/or to decrease the chemical activities of the active metals or alloys in the negative electrode, etc. The electrolyte includes at least one salt of each active metals in the negative electrode and may include a solution of salts of alkali metals and alkaline-earth metals. The positive electrode includes a metal or its alloy P and may include other metals or diluents that do not adversely affect the energy-exchanging faradaic reactions. Such spectator metals or diluents are added in order to decrease the liquidus temperature of the positive electrode, and/or to decrease the chemical activities of active metals or alloys in the positive electrode, etc. The same diluent may be employed in both the negative and positive electrodes, e.g., () Ca-MgPb-Mg (+). Multicomponent alloys, e.g., binary, ternary, quaternary alloys, may be used for the negative and/or positive electrodes.

(16) This multi-element configuration desirably decreases the cell operating temperature, the reactivity of negative electrode with the molten salt electrolyte, and the solubility of the negative electrode in the molten salt electrolyte. This, in turn, decreases the self-discharge current and thus improves the cell performance, even if the metals N1, N2, etc. each has a high melting point, high reactivity, and high solubility in the molten salt, e.g., Ca. For example, a system utilizing a liquid calcium-lithium-magnesium alloy as a negative electrode, a molten salt mixture of lithium chloride and calcium chloride as an electrolyte, and liquid bismuth as a positive electrode exhibits high coulombic and energy efficiencies (99% and 70%, respectively) and long service life time (capacity fade rate of <0.002% cycle.sup.1 over >1000 cycles). Details of various embodiments are discussed below.

(17) FIG. 1 shows an electrochemical cell or battery 10, according to embodiments of the present invention, having an electronically conductive layer or negative electrode 14 with two or more active metals N1, N2, etc., such as an alkali metal and/or alkaline earth metal, and an electronically conductive layer or positive electrode 16 with a metallic or metalloid element or alloy P, such as a combination of one or more elements of Groups 12 to 16 of the periodic table of the elements (e.g., Zn, Al, Sn, Pb, Sb, Bi, Te, etc.). These electrodes cooperate to efficiently store and deliver energy across an ionic conductive layer or electrolyte 20. At the operating temperature of the electrochemical cell, the negative and positive electrodes 14, 16 are in a liquid or partially liquid phase during operation, and the electrolyte 20 is in a liquid phase during operation.

(18) The negative electrode 14, positive electrode 16, and electrolyte 20 are confined in a container 22, which preferably includes a lid 26. The cell container 22 and lid 26 may be made of a conductive metal (e.g., mild steel, stainless steel, graphite) or a conductive metal coated with a thin ceramic (e.g., oxide, nitride, carbide). An electronically conductive structure 62 may be suspended from the lid 26 of the container 22 and may serve as a negative current collector 27. The lid 26 confines the molten constituents and vapors within the container 22. An electrically insulating seal 64 (e.g., made of boron nitride, alumina, magnesia) may electrically isolate the conductive structure 62 from the lid 26. The container 22 and lid 26 may be formed from materials having the requisite electrical conductivity (when so required), mechanical strength, and resistance to chemical attack by the materials that form the electrodes 14 and 16 and electrolyte 20.

(19) One portion 62a of the structure 62 may hold the negative electrode 14 away from the walls of the container 22, obviating the need for an insulating sheath along the walls, and another portion 62b of the structure 62 may extend outside of the lid 26 and serve as the negative terminal 28. The portion 62a that holds the negative electrode 14 may be in the shape of one or more rods, an inverted cup, or a mesh (as shown in FIG. 1). The mesh may be composed of strands on the order of 0.1 to 1 mm in diameter, with similar spacing, although other dimensions may also be used. Alternatively, or in addition, the portion 62a that holds the negative electrode 14 may be a porous material, e.g., foam or sponge. Depending on the composition of the negative electrode 14, the structure 62 may be made of, e.g., iron or its alloys, carbon or its alloys, such as mild steel, or a steel alloy containing, for example, nickel and/or chromium. Preferably, the negative current collector 27 includes a conductive porous foam or mesh 62a (e.g., iron, iron alloys) connected to a rod 62b. The electronically conductive structure 62 is preferably configured so that some of the liquid or partially liquid negative electrode 14 remains between the portion 62a during the charge and discharge cycles, as discussed in more detail below. Surface tension may maintain the negative electrode 14 in place around the portion 62a of the electronically conductive structure 62.

(20) A portion of the container 22 in contact with the positive electrode 16 functions as a positive current collector 23, through which electrons may pass to an external source or load by way of a positive terminal (discussed in FIGS. 2B and 3B below) connected to the container 22. The negative terminal 28 and the positive terminal may be oriented to facilitate arranging individual cell units in series by connecting the negative terminal 28 of one cell unit to the positive terminal of another cell unit 10 to form a battery or electrochemical cell. Alternatively, the negative terminals 28 may be connected to one another, and the positive terminals may be connected to one another to arrange the cells in parallel.

(21) Alternatively, the interior surface of the container 22 may include an insulating inner sheath (not shown). The sheath may prevent shorting by electrical conduction between the negative electrode 14 and the positive electrode 16 through the container 22 when the container is made of electrically conductive material and an electrically conductive structure 62 is not used to hold the negative electrode 14 away from the walls of the container 22. The sheath may be formed from an electrically insulating material and should be corrosion-resistant against the electrodes 14 and 16 and the electrolyte 20. For example, boron nitride, aluminum nitride, alumina, and/or magnesia are appropriate materials for the sheath and seal 64, although other materials, such as high temperature resistant polymers, like poly(oxyethylene) methacrylate-g-poly(dimethyl siloxane) (POEM-g-PDMS), also may be used.

(22) The electrochemical cell 10 also may have an inert gas layer 32 overlaying the negative electrode 14 and the portion 62a of the electrically conductive structure 62 in order to accommodate global volume changes in the three-phase system produced by charging and discharging, or temperature changes. Optionally, the lid 26 or seal 64 may incorporate a safety pressure valve (not shown) in order to regulate changes in pressure within the electrochemical cell 10.

(23) The electrochemical cell 10 according to embodiments of the present invention receives or delivers energy by transporting two or more metals in the negative electrode 14, referred to herein as active metals N1, N2, etc., between the two electrically conductive electrodes 14 and 16 via an electrochemical pathway. The liquid electrolyte 20, including at least one salt of each active metal in the negative electrode 14, enables ionic transport of the active metals during charging or discharging. Embodiments of the present invention may include any combination of metals or metal alloys which exhibit a suitable voltage. For example, the chemical composition of the negative electrode 14 may include two or more metals, such as an alkali metal and/or alkaline earth metal, e.g., Li, Na, K, Mg, Ca, Ba, or combinations thereof, and the positive electrode 16 may include one or more elements of Groups 12 to 16 of the periodic table of the elements, such as Al, Si, Zn, Ga, Ge, Cd, In, Sn, Sb, Hg, Tl, Pb, Bi, Te, or combinations thereof. For example, the negative electrode 14 may be calcium-magnesium-lithium and the positive electrode 16 may be bismuth, lead or antimony. The electrolyte 20 may include a multi-cation solution of salts of alkali metals and alkaline earth metals. For example, the electrolyte 20 may include halides, oxides, chalcogenides, perchlorates, carbonates, hydroxides, nitrates, nitrites, sulfates, sulfites, or combinations thereof.

(24) In the multi-cation electrolyte 20, a plurality of cations in the salt may contribute to the faradaic charge/discharge of the cells by co-alloying/co-dealloying with the negative electrode 14 and positive electrode 16. The electrodes 14 and 16 and the electrolyte 20 are selected so that the electrodes 14, 16 are maintained in a liquid or partially liquid phase with the co-alloying/co-dealloying of multiple cations from the multi-cation electrolyte 20 at operating temperatures of the electrochemical cell 10. The electrodes 14 and 16 and the electrolyte 20 may be further formulated so that their densities are ordered in accordance with their functions in the cell 10. Various embodiments having respective densities increasing or decreasing in the order negative electrode 14/electrolyte 20/positive electrode 16, so that the cell 10 spontaneously self-assembles into a vertically stacked, layered structure upon melting the constituents, such as shown in FIG. 1, providing for simpler manufacture. Preferably, a low-density negative electrode, middle-density molten salt solution, and high-density positive electrode are layered in order of their densities in the electrochemical cell 10.

(25) FIGS. 2A-2C illustrate the function of the electrochemical cell 10 during charging according to embodiments of the present invention. FIG. 2A shows the cell 10 in an uncharged or discharged state. Before charging, the positive electrode 16 includes the active metals N1, N2, etc., along with the metallic or metalloid element P. The positive electrode 16 may be in a liquid phase, such as shown in FIG. 2A, or may include liquid and solid phases. The negative electrode 14 meets the electrolyte 20 at negative electrode-electrolyte interface 42. In a corresponding manner, the positive electrode 16 meets the electrolyte 20 at a separate positive electrode-electrolyte interface 46. As shown and discussed below, these interfaces move during charging and discharging, while maintaining the general volume of the electrolyte 20, and the volumes of the negative electrode 14 and positive electrode 16 increase or decrease at the expense of one another. In other words, the positive electrode 16 has a volume that increases or decreases in correlation to a respective decrease or increase of the volume of the negative electrode 14.

(26) FIG. 2B shows the effect of the charging process on the components of the cell 10. To initiate charging, the terminals 28 and 30 are connected to an external charging circuit 48, which drives the active metals, N1, N2, etc., from the positive electrode 16, through the electrolyte 20 to neutral metal at a higher chemical potential in the negative electrode 14. During charging, electron current travels from the external circuit, through the negative current collector 27, into the negative electrode 14, and to the negative electrode-electrolyte interface 42. Active cations N1+, N2+, etc. move across the electrolyte 20 toward the negative electrode-electrolyte interface 42. The active cations and the electrons meet at the interface 42 and are consumed in the reduction half-cell reaction, e.g., shown for N1 as N1++e.fwdarw.N1. The neutral active metal atoms N1, N2, etc. created in the half-cell reactions accrue to the negative electrode 14. As the active metals N1, N2, etc. accumulate in the negative electrode 14, the negative electrode-electrolyte interface 42 along the bottom of the negative electrode 14 moves further away from the lid 26 of the container. At the positive electrode-electrolyte interface 46, atoms of the active metals N1, N2, etc. in the positive electrode 16 are oxidized in the half-cell reaction, shown for N1 as N1.fwdarw.N1++e. As active cations N1+, N2+, etc. enter the electrolyte 20, electrons are freed to pass through the positive current collector 23 to the external charging circuit 48. Oxidation of the active metal atoms N1, N2, etc. shrinks the positive electrode 16, and the positive electrode-electrolyte interface 46 moves toward the positive current collector 23.

(27) FIG. 2C shows the cell 10 in its final charged state. Charging has changed the composition of at least the positive electrode 16 by loss of atoms of the active metals N1, N2, etc. In fact, in some embodiments, the positive electrode 16 may be nominally free of the active metals N1, N2, etc. at this point in the charge-discharge cycle. In general, the volume of the negative electrode 14 has grown at the expense of the positive electrode 16. Since the charging process is conservative with respect to the active cations, the volume of the electrolyte 20 is in principle unchanged.

(28) The active metals N1, N2, etc. deposited in the negative electrode 14 represents stored electrical energy which may persist substantially indefinitely, as long as no external electric path joins the two electrodes 14 and 16. The half-cell reactions in the cell 10 generate liquid or partially liquid phase products that remain at the electrodes 14 and 16, and in contact with the electrolyte 20. While the electrodes 14, 16 and electrolyte 20 may remain in their liquid or partially liquid state at an operating temperature of the cell 10, the active metals and the active cations are available to mechanize charge and discharge via an electrochemical pathway. This reversibility renders the electrochemical cell 10 suitable to use in batteries for energy storage.

(29) FIGS. 3A-3C illustrate discharging the electrochemical cell 10 according to embodiments of the present invention. FIG. 3A shows the cell 10 in a charged state, while FIG. 3B shows the cell terminals 28 and 30 connected to an external load 49, which initiates discharge. During discharge, the active metals N1, N2, etc. move spontaneously from the negative electrode 14, through the electrolyte 20 as active cations, and revert to neutral metals at a lower chemical potential in the positive electrode 16. Electron current travels into the cell through the positive current collector 23 and the positive electrode 16, to the positive electrode-electrolyte interface 46. Active cations N1+, N2+, etc. migrate across the electrolyte 20 toward the positive electrode-electrolyte interface 46. Active cations N1+, N2+, etc. and electrons are consumed at the interface 46 in the reduction half-cell reaction, shown for N1 as N1++eN1. The neutral active metal atoms N1, N2, etc. produced accrue to the positive electrode 16. As the active metal N1, N2, etc. accumulates in the positive electrode 16, the positive electrode-electrolyte interface 46 moves further away from the positive current collector 23. At the negative electrode-electrolyte interface 42, atoms of the active metal N1, N2, etc. in the negative electrode 14 are oxidized in the half-cell reaction, shown for N1 as N1.fwdarw.N1++e. The active cations N1+, N2+, etc. produced enter the electrolyte 20, and the freed electrons pass through the negative current collector 27 to the external load 49. Oxidation of the active metal atoms causes attrition of the negative electrode 14, with the negative electrode-electrolyte interface 42 along the bottom of the negative electrode 14 moving toward the lid 26 of the container.

(30) FIG. 3C shows the electrochemical cell 10 in its final discharged state. Discharging has changed the composition of at least the positive electrode 16, and the volume of the positive electrode 16 grows at the expense of the negative electrode 14. Since the discharging process is conservative with respect to the active metal cations, ideally the volume of the electrolyte 20 is unchanged.

(31) One potential use for the electrochemical cells 10 according to embodiments of the present invention is in large-scale power generators. The diurnal fluctuation in energy demand reduces plant efficiency, consequently increasing emissions by preventing generator operation at optimum output levels around the clock. A high-capacity electrical energy storage apparatus, with a power capacity greater than 1 MW, could allow load-leveling, which is effected by downloading power from the generator to a storage device during low-demand periods, and then uploading power to the grid during times of higher demand, permitting the power plant to operate at a more constant levelwith fewer power spikes.

(32) A second potential use for the electrochemical cells 10 according to embodiments of the present invention is in renewable energy source converters. Variability in supply makes management of power generated by renewable sources challenging. Sources such as wind and solar energy generate only intermittently. Without adequate power storage, additional power generators are needed on standby to operate in the event that the wind stops blowing, or the sky clouds over. The underutilized capital in the form of excess power generators ultimately may limit the scale of deployment of renewable energy sources. A reliable, high-capacity electrical storage device, used in conjunction with a renewable energy source, should provide dedicated load leveling, thus supporting implementation of renewable energy sources on the grid. Such a combination should also support the use of intermittent renewable energy sources as an alternative to generators in remote, off-grid locations, e.g., locations where periodic delivery of fuel may be difficult.

(33) Embodiments in many large-scale implementations are expected to have a capacity of greater than about 30 kWh. However, an electrochemical cell 10 according to embodiments of the present invention with a capacity lower than 30 kWh may be implemented at a small commercial or residential level, where an energy source, such as solar panels or individual wind turbines, may be used to charge the cell. Such a system should provide a continuous source of electricity to sustain the energy needs of the commercial or residential facility. These types of systems may be used advantageously in remote locations, off the grid, where the import of electricity with power lines is exorbitant or not practicable. Of course, such systems may be used in various other environments, such as in an urban or suburban environment where a household could self-consume power generated by a rooftop photovoltaic array by managing local power production and demand with the proposed device.

(34) Embodiments of the present invention may achieve enhanced energy storage capacity while using low-cost, abundant metals. Selection of the active metals and the electrolyte in various combinations, such as discussed herein, permits a self-assembling cell and enables low-cost manufacturing. Embodiments of the present invention extend the materials selection of electrodes and electrolytes that may be used in liquid metal batteries. For example, some alkaline and alkaline earth metals which are highly soluble in their molten salts, and therefore not conventionally employable in high temperature molten salt batteries, may become employable.

(35) The discussion below includes the theory behind the improved performance of multi-element liquid metal batteries, and calcium-based liquid metal batteries in particular. However, embodiments of the present invention are not limited by any particular theory. Using the example of a calcium-based liquid metal battery, it is believed that calcium-based chemistries were problematic due to the dissolution of the calcium metal in its molten halide salts, which increases electronic conductivity of the electrolyte and provides a mechanism for self-discharge, which decreases coulombic efficiency of the calcium-based liquid metal batteries. The most likely mechanism of calcium metal dissolution in calcium halide salts is forming dimeric subvalent ions, Ca.sub.2.sup.2+, as shown in equation (1)
Ca+Ca.sup.2+.Math.Ca.sub.2.sup.2+(1)
When mechanism (1) dominates, the concentration of dissolved calcium, [Ca.sub.2.sup.2], is directly proportional to the activity of the calcium metal and the concentration of calcium ion dissolved species (assuming a Henrian solution):

(36) $\begin{array}{cc}{K}_{\mathrm{sp}}\frac{\left[{\mathrm{Ca}}_2^{2+}\right]}{a_{\mathrm{Ca}}\left[{\mathrm{Ca}}^{2+}\right]}& \left(2\right)\end{array}$

(37) Thus, the solubility of calcium in calcium halide salt, [Ca.sub.2.sup.2], decreases as the activity of calcium in the negative and positive electrodes, a.sub.Ca, and the concentration of calcium cation in the salts [Ca.sup.2+] decrease. Furthermore, the solubility of calcium metal in calcium halide salts decreases with decreasing operating temperature due to its thermochemical properties.

(38) In order to decrease the solubility of calcium in the electrolyte, embodiments of the present invention use a multi-cation salt as the electrolyte 20. For example, the electrolyte 20 may be a mixture of alkali metal and alkali-earth metal halides, including at least one halide of calcium (metal N1). Choosing the proper composition of multi-cation salts lowers the liquidus temperature of the salt and decreases the concentration of the calcium cation in salt, [Ca.sup.2+]. In some embodiments, the halides of the other cations work as supporting electrolytes to obtain low voltage loss due to electrolyte resistance. For example, lithium chloride is a preferred supporting electrolyte for utilizing a calcium chloride as the calcium source in order to obtain high ionic conductivity (3 S cm.sup.1). This approach decreases the operating temperature of the cell, the reactivity of the calcium, and the solubility of the calcium metal in the electrolyte 20. Furthermore, Ca ion and other cations in the multi-cation salt 20 co-alloy and co-dealloy with both the negative electrode 14 and positive electrode 16 during the charge-discharge cycles. Therefore, the liquid metal battery with multi-cation salt becomes a multi-element liquid metal battery.

EXAMPLES

(39) The self-discharge current of electrochemical cells with several different compositions of negative electrode and electrolytes were measured, as shown in Table 1 below, to proof the validity of the approaches.

(40) TABLE-US-00001 TABLE 1 Self-discharge current densities at 1.25 V. Negative electrode as Temperature prepared* Salt Description Composition (mol %) ( C.) j.sub.self (mA cm.sup.2) Ca CaCl.sub.2 pure CaCl.sub.2 800 >1000 (not measureable) Ca CaCl.sub.2CaI All [Ca.sup.2+] salt 51.4-48.6 650 >300 Ca LiClCaCl.sub.2 Test pure Ca with 65-35 650 ~10 multi-cation salt CaMg (20-80) LiClCaCl.sub.2 Test [Li.sup.+] in salt 65-35 650 ~1 CaMg (20-80) LiClKClCaCl.sub.2 Test [K.sup.+] + [Li.sup.+] in 37-28-35 650 ~4 salt CaMg (20-80) LiClCaCl.sub.2CaO Test CaO in salt 59-32-9 650 ~3 CaMg (90-10) LiClCaCl.sub.2 Change CaMg 65-35 650 ~4 composition *Composition of the negative electrode may change during charging by using the multi-cation.

(41) The Ca|CaCl.sub.2|Bi system at 800 C., which is higher than the melting point of CaCl.sub.2 (772 C.), shows higher than 1000 mAcm.sup.2 of self-discharge current density (which was not measurable). By utilizing CaCl.sub.2CaI.sub.2 (multi-anion salt, i.e., single-cation salt), the operating temperature can be reduced. The self-discharge current density of the cell with pure Ca metal as the negative electrode (Ca|CaCl.sub.2CaI.sub.2|Bi system) at 650 C. became lower (>300 mAcm.sup.2) due to the lower operating temperature. By using a mixture of LiCl and CaCl.sub.2 (multi-cation salt), the self-discharge current of Ca|LiClCaCl.sub.2|Bi cell at 650 C. was dramatically decreased to 10 mAcm.sup.2.

(42) To decrease the solubility of calcium, Ca (metal A) was alloyed with Mg (diluent), which decreased the self-discharge current density at 650 C. to 1 mAcm.sup.2 (CaMg (20-80 mol %)|LiClCaCl.sub.2|Bi cell). By adding KCl or CaO into the LiClCaCl.sub.2 salt, the self-discharge current density slightly increased from the LiClCaCl.sub.2 salt alone, but the values were small.

(43) In the CaMg|LiClCaCl.sub.2|Bi cell, upon discharging, calcium and lithium are electrochemically oxidized from the negative electrode such as CaLiMg alloy [Ca and Li (in Mg).fwdarw.nCa.sup.2++mLi.sup.++(2n+m)3e.sup.], and the calcium cations and the lithium cations are conducted across the molten salt electrolyte to the Bi positive electrode as electrons are released to an external circuit. The calcium cations and the lithium cations are simultaneously reduced and alloyed with Bi positive electrode [nCa.sup.2++mLi.sup.++(2n+m)e.sup..fwdarw.Ca and Li (in Bi)]. Cell voltage correlates to the difference in calcium activity and lithium activity in the negative and positive electrodes according to the Nernst equation (4)

(44) $\begin{array}{cc}{E}_{\mathrm{cell},\mathrm{eq}}=-\frac{\mathrm{RT}}{\mathrm{zF}}\ln \left(\frac{a_{\mathrm{Ca}\left(\mathrm{inMg}\right)}{a}_{\mathrm{Li}\left(\mathrm{inMg}\right)}}{a_{\mathrm{Ca}\left(\mathrm{inB}\right)}{a}_{\mathrm{Li}\left(\mathrm{inBi}\right)}}\right)& \left(4\right)\end{array}$

(45) In this cell, multiple elements, i.e., Ca and Li, work as active species for faradaic charge/discharge processes, such as discussed in embodiments of the present invention. Allowing the co-alloying and co-dealloying of the other cation and controlling them are unique features of embodiments of the present invention. This concept allows the use of high Li containing salts to suppress the solubility of Ca in the molten salt and results in the low self-discharge. The cell performance of multi-element liquid metal batteries formed according to embodiments of the present invention is disclosed in the examples below and shown in FIGS. 4-11B. The active component amounts for the various examples are shown in Table 2 below.

(46) TABLE-US-00002 TABLE 2 Amount of active components in cells Nagative electrode Positive electrode Electrolyte Example no. Ca (g) Mg (g) Bi (g) Bi (g) Sb (g) Pb (g) Mg (g) (g) 1 0.397 0.964 6.00 13.1 2 0.540 1.309 14.0 12.0 3-1 0.899 0.061 14.0 12.0 3-2 1.276 0.086 14.0 12.0 3-3 0.322 0.022 2.80 12.0 4 1.173 0.079 8.19 12.5 5 1.198 0.081 9.67 13.1 6 1.129 0.076 8.28 0.214 12.0

Example 1

(47) A CaMg (20-80 mol %)|LiClCaCl.sub.2 (65-35 mol %)|Bi cell was assembled. The amounts of active components as prepared are listed in

(48) Table 2, example 1. The cell was charged and discharged at 50-200 mAcm.sup.2 at 650 C. to evaluate the capability of charge-discharge rate and round trip efficiencies. The cell performances are shown in FIG. 4. Cut-off voltage for charging was 1.15 V at all current densities and cut off voltage for discharge was 0.45, 0.42, 0.39, and 0.36 V at 50, 100, 150, and 200 mAcm.sup.2, respectively. In this cell, lithium co-deposited with calcium in both the negative and the positive electrodes. Therefore, the cell becomes CaMg-Li|LiClCaCl.sub.2|Bi cell. Coulombic efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 90, 95, 97, and 98%, respectively. Coulombic efficiency increased with increasing current density of charge/discharge. Energy efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 78, 75, 68, and 62%, respectively. The nominal discharge voltage at 50, 100, 150, and 200 mAcm.sup.2 were 0.62, 0.59, 0.56, and 0.52 V, respectively.

Example 2

(49) A CaMg (20-80 mol %)|LiClCaCl.sub.2CaO (59-32-9 mol %)|Bi cell was assembled. The amounts of active components are listed in

(50) Table 2, example 2. The cell was charged and discharged at 650 C. to evaluate the capability of charge-discharge rate and round trip efficiencies. Cut-off voltage for charging was 1.15 V at all current densities and cut-off voltage for discharge was 0.45, 0.42, 0.39, and 0.36 V at 50, 100, 150, and 200 mAcm.sup.2, respectively. The cell performances are shown in FIGS. 5A and 5B. Coulombic efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 88, 93, 96, and 98%, respectively. Energy efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 74, 70, 64, and 58%, respectively. The nominal discharge voltage at 50, 100, 150, and 200 mAcm.sup.2 were 0.63, 0.60, 0.55, and 0.52 V, respectively. While the efficiencies were decreased by adding CaO in the system due to the slightly higher self-discharge current densities (3 mAcm.sup.2), the cell successfully cycled with small capacity fade (0.02% cycle.sup.1). In this cell, lithium co-deposited with calcium in both the negative and the positive electrodes. Therefore, the cell becomes CaMgLi|LiClCaCl.sub.2CaO|Bi cell.

Example 3

(51) The cell voltage increases with increasing calcium composition in the calcium-magnesium negative electrode. An electrochemical cell, CaMg (90-10 mol %)|LiClCaCl.sub.2 (65-35 mol %)|Bi system was assembled. The amounts of active components are listed in

(52) Table 2, example 3-1. The cell was charged and discharged at 50-200 mAcm.sup.2. At 650 C., the cut-off voltage for charging was 1.15 V at all current densities and the cut-off voltages for discharge were 0.7, 0.67, 0.64, and 0.61 V at 50, 100, 150, and 200 mAcm.sup.2, respectively. The cell performances are shown in FIGS. 6A and 6B. Coulombic efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 84, 89, 93, and 96%, respectively. Energy efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 76, 76, 73, and 70%, respectively. The nominal discharge voltage at 50, 100, 150, and 200 mAcm.sup.2 were 0.79, 0.76, 0.73, and 0.70 V, respectively. By using LiClCaCl.sub.2 as an electrolyte, the calcium-magnesium negative electrode with high calcium activity successfully worked with small self-discharge current density (4 mAcm.sup.2 at 1.25V).

(53) A cell operated at 550 C. showed better coulombic efficiency than at 650 C. due to the smaller solubility of calcium in the electrolyte, which results in small self-discharge current density. The amounts of active components are listed in

(54) Table 2, example 3-2. At 550 C., the cut-off voltage for charging was 1.15 Vat all current densities and the cut-off voltages for discharge were 0.73, 0.70, 0.67, and 0.64 V at 50, 100, 150, and 200 mAcm.sup.2, respectively. The cell performances are shown in FIGS. 7A and 7B. Coulombic efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 89, 95, 96, and 99%, respectively. Energy efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 80, 79, 74, and 71%, respectively. The nominal discharge voltage at 50, 100, 150, and 200 mAcm.sup.2 were 0.80, 0.77, 0.74, and 0.71 V, respectively. This cell cycled with small capacity fade for 200 cycles (<0.01% cycle.sup.1).

(55) In order to accelerate the cycles, the amount of active components decreased as listed in

(56) Table 2, example 3-3. The cell was operated at 200 mAcm.sup.2 of current density over 1000 cycles with small capacity fade (<0.002% cycle.sup.1). Coulombic efficiency, energy efficiency, and discharge capacity density with cycling and charge and discharge profiles at 20.sup.th, 100.sup.th 500.sup.th, and 1000.sup.th cycles are shown in FIGS. 8A and 8B. Almost no difference of charge/discharge profile was confirmed for 1000 cycles.

(57) In these cells, lithium co-deposited with calcium in both the negative and the positive electrodes. Therefore, the cells become CaMgLi|LiClCaCl.sub.2|Bi cells.

Example 4

(58) A CaMg (90-10 mol %)|LiClCaCl.sub.2(65-35 mol %)|Pb system was assembled. The amounts of active components are listed in

(59) Table 2, example 4. The cell was operated at 650 C. with different current densities. The cut-off voltage for charging was 0.9 V at all current densities and the cut-off voltages for discharge were 0.4, 0.37, 0.34, and 0.31 V at 50, 100, 150, and 200 mAcm.sup.2, respectively. The cell performances are shown in FIGS. 9A and 9B. Coulombic efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 58, 68, 77, and 82%, respectively. Energy efficiencies at 50, 100, 150, and 200 mAcm.sup.2 50, 51, 51, and 47%, respectively. The nominal discharge voltage at 50, 100, 150, and 200 mAcm.sup.2 were 0.52, 0.48, 0.45, and 0.41 V, respectively. In this cell, lithium co-deposited with calcium in both the negative and the positive electrodes. Therefore, the cell becomes CaMgLi|LiClCaCl.sub.2|Pb cell.

Example 5

(60) A CaMg (90-10 mol %)|LiClCaCl.sub.2(65-35 mol %)|Sb system was assembled. The amounts of active components are listed in

(61) Table 2, example 5. The cell was operated at 650 C. with different current densities. The cut-off voltage for charging was 1.3 V at all current densities and the cut-off voltages for discharge were 0.73, 0.70, 0.67, and 0.64 V at 50, 100, 150, and 200 mAcm.sup.2, respectively. The cell performances are shown in FIGS. 10A and 10B. Coulombic efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 84, 90, 94, and 95%, respectively. Coulombic efficiency increases with increasing current density of charge/discharge. Energy efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 78, 79, 77, and 74%, respectively. The nominal discharge voltage at 50, 100, 150, and 200 mAcm.sup.2 were 0.96, 0.93, 0.91, and 0.88 V, respectively. The cell successfully operated for 20 cycles at 200 mA cm.sup.2. In this cell, lithium co-deposited with calcium in both the negative and the positive electrodes. Therefore, the cell becomes CaMgLi LiClCaCl.sub.2|Sb cell.

Example 6

(62) A CaMg (90-10 mol %)|LiClCaCl.sub.2 (65-35 mol %)|Pb-Mg (82-18 mol %) system was assembled with the foam negative current collector and mild steel crucible as mention in examples 1, 2, 3, 4, and 5. The amounts of active components are listed in

(63) Table 2, example 6. The cell was operated at 550 C. at 50-200 mAcm.sup.2 of current density. The cut-off voltage for charging was 0.9 V at all current densities and the cut-off voltages for discharge were 0.5, 0.47, 0.44, and 0.41 V at 50, 100, 150, and 200 mAcm.sup.2, respectively. The cell performances are shown in FIGS. 11A and 11B. Coulombic efficiencies were 97, 98, 99, and >100%, respectively. Energy efficiencies at 50, 100, 150, and 200 mAcm.sup.2 were 82, 75, 68, and 63%, respectively. The nominal discharge voltage at 50, 100, 150, and 200 mAcm.sup.2 were 0.55, 0.52, 0.49, and 0.46 V, respectively. The cell successfully operated for 20 cycles at 200 mA cm.sup.2. In this cell, lithium co-deposited with calcium in both the negative and the positive electrodes. Therefore, the cell becomes CaMgLi|LiClCaCl.sub.2|PbMg cell.

(64) Although the above discussion discloses various exemplary embodiments of the invention, it should be apparent that those skilled in the art may make various modifications that will achieve some of the advantages of the invention without departing from the true scope of the invention.