LITHIUM AND MANGANESE RICH POSITIVE ACTIVE MATERIAL COMPOSITIONS

Abstract
A positive electrode active material includes a compound represented by formula 1:
Description
TECHNICAL FIELD

In at least one aspect, positive electrode active materials for lithium-ion batteries are provided.


BACKGROUND

Lithium and Manganese Rich (LMR) positive electrode active material has been considered one of the most promising next-generation cathode materials due to the highest gravimetric energy density (Mn-rich and low Ni and low Co) compared to currently used NCMs and NCAs. However, intrinsic issues of LMR such as voltage decay during cycling, rate capability, cycle performance, and volumetric energy density have prevented successful commercialization.


Accordingly, there is a need for positive electrode active materials for lithium-ion batteries with increased rate capability, cell performance, and volumetric energy density.


SUMMARY

In at least one aspect, a positive electrode active material is provided. The positive electrode active material includes a compound represented by formula 1:




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wherein: (Li+/[M3+ & Ni2+] substitution for Mn3+·M3+=Co3+ or Cr3+) 1<1.333−0.667x−z−a<1.333, 0<x−0.5y+z<0.5 and 0<y+a<0.333.


In another aspect, a positive electrode for a lithium-ion battery is provided. The positive electrode includes a positive electrode active material that includes a compound represented by Chemical Formula 1:




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wherein: (Li+/[M3+ & Ni2+] substitution for Mn3+·M3+=Co3+ or Cr3+) 1<1.333−0.667x−z−a<1.333, 0<x−0.5y+z<0.5 and 0<y+a<0.333.


In another aspect, a rechargeable lithium-ion battery including at least one lithium-ion battery cell is provided. Each lithium-ion battering cell includes a positive electrode comprising a compound represented by formula 1:




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wherein: (Li+/[M3+ & Ni2+] substitution for Mn3+·M3+=Co3+ or Cr3+) 1<1.333−0.667x−z−a<1.333, 0<x−0.5y+z<0.5 and 0<y+a<0.333.


Advantageously, the positive electrode active material is composed of an LMR composition with a lower average Mn oxidation state (i.e., a higher amount of Mn+3 ions in the composition) than prior art positive electrode active materials. Moreover, this new LMR composition also can have lower Li content when Ni and Co contents are same with prior art positive electrode active materials. Higher Mn+3 and lower Li+ compositions can mitigate critical issues of LMR such as severe voltage decay during cycling, poor rate capability, poor cycle performance, and/or lower volumetric energy density. This new composition also can have higher Mn and lower Li contents compared to previous LMR compositions (e.g, US 2017/0141393 A; the entire disclosure of which is hereby incorporated by reference).


In another aspect, the positive electrode materials provided herein minimized energy density decreases while mitigating other intrinsic issues such as voltage decay during cycling, poor rate compatibility, and poor cycle performance.


The foregoing summary is illustrative only and is not intended to be in any way limiting. In addition to the illustrative aspects, embodiments, and features described above, further aspects, embodiments, and features will become apparent by reference to the drawings and the following detailed description.





BRIEF DESCRIPTION OF THE DRAWINGS

For a further understanding of the nature, objects, and advantages of the present disclosure, reference should be made to the following detailed description, read in conjunction with the following drawings, wherein like reference numerals denote like elements and wherein:



FIG. 1A. Schematic cross-section of a positive electrode that includes cathode active material on a single side of a current collector.



FIG. 1B. Schematic cross-section of a positive electrode that includes cathode active material on both sides of a current collector.



FIG. 2. General plot of voltage versus capacity.



FIG. 3. Schematic cross-section of a battery cell that includes the positive electrode of FIG. 1A.



FIG. 4. Schematic cross-section of a battery pack that includes the battery cells of FIG. 2.





DETAILED DESCRIPTION

Reference will now be made in detail to presently preferred compositions, embodiments and methods of the present invention, which constitute the best modes of practicing the invention presently known to the inventors. The Figures are not necessarily to scale. However, it is to be understood that the disclosed embodiments are merely exemplary of the invention that may be embodied in various and alternative forms. Therefore, specific details disclosed herein are not to be interpreted as limiting, but merely as a representative basis for any aspect of the invention and/or as a representative basis for teaching one skilled in the art to variously employ the present invention.


Except in the examples, or where otherwise expressly indicated, all numerical quantities in this description indicating amounts of material or conditions of reaction and/or use are to be understood as modified by the word “about” in describing the broadest scope of the invention. Practice within the numerical limits stated is generally preferred. Also, unless expressly stated to the contrary: when a given chemical structure includes a substituent on a chemical moiety (e.g., on an aryl, alkyl, etc.) that substituent is imputed to a more general chemical structure encompassing the given structure; percent, “parts of,” and ratio values are by weight; the term “polymer” includes “oligomer,” “copolymer,” “terpolymer,” and the like; molecular weights provided for any polymers refers to weight average molecular weight unless otherwise indicated; the description of a group or class of materials as suitable or preferred for a given purpose in connection with the invention implies that mixtures of any two or more of the members of the group or class are equally suitable or preferred; description of constituents in chemical terms refers to the constituents at the time of addition to any combination specified in the description, and does not necessarily preclude chemical interactions among the constituents of a mixture once mixed; the first definition of an acronym or other abbreviation applies to all subsequent uses herein of the same abbreviation and applies mutatis mutandis to normal grammatical variations of the initially defined abbreviation; and, unless expressly stated to the contrary, measurement of a property is determined by the same technique as previously or later referenced for the same property.


It must also be noted that, as used in the specification and the appended claims, the singular form “a,” “an,” and “the” comprise plural referents unless the context clearly indicates otherwise. For example, reference to a component in the singular is intended to comprise a plurality of components.


As used herein, the term “about” means that the amount or value in question may be the specific value designated or some other value in its neighborhood. Generally, the term “about” denoting a certain value is intended to denote a range within +/−5% of the value. As one example, the phrase “about 100” denotes a range of 100+/−5, i.e. the range from 95 to 105. Generally, when the term “about” is used, it can be expected that similar results or effects according to the invention can be obtained within a range of +/−5% of the indicated value.


As used herein, the term “and/or” means that either all or only one of the elements of said group may be present. For example, “A and/or B” shall mean “only A, or only B, or both A and B”. In the case of “only A”, the term also covers the possibility that B is absent, i.e. “only A, but not B”.


It is also to be understood that this invention is not limited to the specific embodiments and methods described below, as specific components and/or conditions may, of course, vary. Furthermore, the terminology used herein is used only for the purpose of describing particular embodiments of the present invention and is not intended to be limiting in any way.


The term “comprising” is synonymous with “including,” “having,” “containing,” or “characterized by.” These terms are inclusive and open-ended and do not exclude additional, unrecited elements or method steps.


The phrase “consisting of” excludes any element, step, or ingredient not specified in the claim. When this phrase appears in a clause of the body of a claim, rather than immediately following the preamble, it limits only the element set forth in that clause; other elements are not excluded from the claim as a whole.


The phrase “consisting essentially of” limits the scope of a claim to the specified materials or steps, plus those that do not materially affect the basic and novel characteristic(s) of the claimed subject matter.


The phrase “composed of” means “including” or “consisting of.” Typically, this phrase is used to denote that an object is formed from a material.


With respect to the terms “comprising,” “consisting of,” and “consisting essentially of,” where one of these three terms is used herein, the presently disclosed and claimed subject matter can include the use of either of the other two terms.


The term “one or more” means “at least one” and the term “at least one” means “one or more.” The terms “one or more” and “at least one” include “plurality” and “multiple” as a subset. In a refinement, “one or more” includes “two or more.”


The term “substantially,” “generally,” or “about” may be used herein to describe disclosed or claimed embodiments. The term “substantially” may modify a value or relative characteristic disclosed or claimed in the present disclosure. In such instances, “substantially” may signify that the value or relative characteristic it modifies is within +0%, 0.1%, 0.5%, 1%, 2%, 3%, 4%, 5% or 10% of the value or relative characteristic.


It should also be appreciated that integer ranges explicitly include all intervening integers. For example, the integer range 1-10 explicitly includes 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Similarly, the range 1 to 100 includes 1, 2, 3, 4 . . . 97, 98, 99, 100. Similarly, when any range is called for, intervening numbers that are increments of the difference between the upper limit and the lower limit divided by 10 can be taken as alternative upper or lower limits. For example, if the range is 1.1. to 2.1 the following numbers 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, and 2.0 can be selected as lower or upper limits.


When referring to a numeral quantity, in a refinement, the term “less than” includes a lower non-included limit that is 5 percent of the number indicated after “less than.” For example, “less than 20” includes a lower non-included limit of 1 in a refinement. Therefore, this refinement of “less than 20” includes a range between 1 and 20. In another refinement, the term “less than” includes a lower non-included limit that is, in increasing order of preference, 20 percent, 10 percent, 5 percent, or 1 percent of the number indicated after “less than.”


The term “positive electrode” means a battery cell electrode from which current flows out when the lithium-ion battery cell or battery is discharged. Sometimes a “positive electrode” is referred to as a “cathode.”


The term “negative electrode” means a battery cell electrode to which current flows in when the lithium-ion battery cell is discharged. Sometimes a “negative electrode” is referred to as an “anode.”


The term “cell” or “battery cell” means an electrochemical cell made of at least one positive electrode, at least one negative electrode, an electrolyte, and a separator membrane.


The term “battery” or “battery pack” means an electric storage device made of at least one battery cell. In a refinement, “battery” or “battery pack” is an electric storage device made of a plurality of battery cells.


The term “specific capacity” means the capacity per unit mass of the anode active. Specific capacity has units of milliamp hours/gram (mAh/g).


Abbreviations:





    • “BEV” means battery electric vehicle.

    • “LMR” means lithium and manganese-rich.

    • “mAh” means milliamp-hour.

    • “mAh/g” means milliamp-hour per gram.





Referring to FIGS. 1A and 1, a schematic of a positive electrode that includes a positive electrode active material is provided. Positive electrode 10 includes positive electrode active material layer 12 of positive electrode active material disposed over and typically contacting positive electrode current collector 14. Typically, positive electrode current collector 14 is a metal plate or metal foil composed of a metal such as aluminum, copper, platinum, zinc, titanium, and the like. Currently, aluminum is most commonly used for the positive electrode current collector. The positive electrode active material is represented by formula 1:




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wherein: (Li+/[M3+ & Ni2+] substitution for Mn3+·M3+=Co3+ or Cr3+) 1<1.333−0.667x−z−a<1.333, 0<x−0.5y+z<0.5 and 0<y+a<0.333 FIG. 1A shows a positive electrode that includes cathode active material on a single side of a current collector while FIG. 1B shows a positive electrode that includes cathode active material on both sides of a current collector.


In a variation, 0<x<0.5; 0<y<0.333; 0<z<0.5; and 0<a<0.33. In a refinement, 0.2<x−0.5y+z<0.37. In another refinement, 0<y+a<0.09. In still another refinement, 0.2<x−0.5y+z<0.37 and 0<y+a<0.09. In further refinements, 0.2<x−0.5y+z<0.37 and/or 0.5<y+a<0.09. In some refinements, x−0.5y+z is greater than in increasing order of preference 0, 0. 1, 0.15, 0.2, 0.22, or 0.25 and less than in increasing order of preference 0.4, 0.37, 0.35, 0.33, or 0.3. In some refinements, y+a is greater than in increasing order of preference 0, 0.01, 0.02, 0.03, or 0.04 and less than in increasing order of preference 0.2, 0.1, 0.09, 0.08, 0.07, or 0.06


In some refinements, x is greater than in increasing order of preference 0.05, 0.1, 0.2, 0.22, 0.23, 0.24, or 0.25 and less than in increasing order of preference, 0.5, 0.45, 0.4, 0.38, 0.36, 0.34, 0.32, 0.30, or 0.28. In further refinements, y is greater than in increasing order of preference, 0.0, 0.01, 0.02, 0.04, 0.08, 0.1, 0.12, or 0.15. and less than 0.35, 0.333, 0.3, 0.25, 0.20, 0.18, 0.15, 0.1, 0.09, or 0.08. In some refinements, z is greater than in increasing order of preference 0.05, 0.1, 0.2, 0.22, 0.23, 0.24, or 0.25 and less than in increasing order of preference, 0.5, 0.45, 0.4, 0.38, 0.36, 0.34, 0.32, 0.30, or 0.28. In further refinements, a is greater than in increasing order of preference, 0.0, 0.01, 0.02, 0.04, 0.08, 0.1, 0.12, or 0.15. and less than 0.35, 0.333, 0.3, 0.25, 0.20, 0.18, 0.15, 0.1, 0.09, or 0.08.



FIG. 2 provides a general plot of voltage versus capacity. In general it is desirable to maximize the slope region and to minimize the plateau region. A maximized slope region can be obtained by increasing the incorporation of Mn3+ which is accomplished with the compositions set forth herein. High Mn3+ can also increase electrical conductivity. A minimized plateau region can suppress voltage decay.


In a variation, the Mn in formula 1 comprises Mn having an oxidation number of +3 and Mn having an oxidation number of +4. In a variation, the content of the Mn having an oxidation number of +3 is greater than about 3.5 wt % and less than about 45 weight %. In a refinement, the content of Mn having an oxidation number of +3 is greater than about 3.5 wt % and less than about 30 weight %.


Specific positive electrode active materials are Li1.12Mn0.57Ni0.24Co0.07O2 and Li1.10Mn0.57Ni0.25Co0.08O2. Li1.12Mn0.57Ni0.24Co0.07O2 has a theoretical capacity in the slope region of the plot of voltage versus capacity (mAh/g) of about 192 mAh/g and Li1.10Mn0.57Ni0.25Co0.08O2 has a theoretical capacity in the slope region of the plot of voltage versus capacity (mAh/g) of about 208 mAh/g.


With reference to FIG. 3, a schematic of a rechargeable lithium-ion battery cell incorporating the positive electrode of FIG. 1 is provided. Battery cell 20 includes positive electrode 10 as described above, negative electrode 22, and separator 24 interposed between the positive electrode and the negative electrode. Negative electrode 22 includes an negative electrode current collector 26 and a negative active material layer 28 disposed over and typically contacting the negative current collector. Typically, negative electrode current collector 26 is a metal plate or metal foil composed of a metal such as aluminum, copper, platinum, zinc, titanium, and the like. Currently, copper is most commonly used for the negative electrode current collector. The battery cell is immersed in electrolyte 30 which is enclosed by battery cell case 32. Electrolyte 30 imbibes into separator 24. In other words, the separator 24 includes the electrolyte thereby allowing lithium ions to move between the negative and positive electrodes. The electrolyte includes a non-aqueous organic solvent and a lithium salt. The non-aqueous organic solvent serves as a medium for transmitting ions taking part in the electrochemical reaction of a battery. Advantageously, battery cell 20 can have a specific capacity of greater than 150 mAh/g.


With reference to FIG. 4, a schematic of a rechargeable lithium-ion battery incorporating the positive electrode of FIG. 1 and the battery cells of FIG. 3 is provided. Rechargeable lithium-ion battery 40 includes at least one battery cell of the design in FIG. 3. Typically, comprising rechargeable lithium-ion battery 40 includes at least one battery cell 20 of the design of FIG. 3. Each lithium-ion battery cell 20 includes a positive electrode 10 which includes the compound represented by formula 1, a negative electrode 22 which includes a negative active material, and an electrolyte 30, where i is an integer label for each battery cell. The label i runs from 1 to nmax, where nmax is the total number of battery cells in rechargeable lithium-ion battery 40. The electrolyte 30 includes a non-aqueous organic solvent and a lithium salt. The non-aqueous organic solvent serves as a medium for transmitting ions taking part in the electrochemical reaction of a battery. The plurality of battery cells can be wired in series, in parallel, or a combination thereof. The voltage output from battery 40 is provided across terminals 42 and 44. Advantageously, rechargeable lithium-ion battery 40 can have a specific capacity of greater than 150 mAh/g for each battery cell therein.


Referring to FIGS. 3 and 4, separator 24 physically separates the negative electrode 22 from the positive electrode 10 thereby presenting shorting while allowing the transport of lithium ions for charging and discharging. Therefore, separator 24 can be composed of any material suitable for this purpose. Examples of suitable materials from which separator 24 can be composed include but are not limited to, polytetrafluoroethylene (e.g., TEFLON©), glass fiber, polyester, polyethylene, polypropylene, and combinations thereof. Separator 24 can be in the form of either a woven or non-woven fabric. Separator 24 can be in the form of a non-woven fabric or a woven fabric. For example, a polyolefin-based polymer separator such as polyethylene and/or polypropylene is typically used for a lithium-ion battery. In order to ensure heat resistance or mechanical strength, a coated separator includes a coating of ceramic or a polymer material may be used.


Referring to FIGS. 3 and 4, electrolyte 30 includes a lithium salt dissolved in the non-aqueous organic solvent. Therefore, electrolyte 30 includes lithium ions that can intercalate into the positive electrode active material during charging and into the anode active material during discharging. Examples of lithium salts include but are not limited to LiPF6, LiBF4, LiSbF6, LiAsF6, LiC4F9SO3, LiClO4, LiAlO2, LiAlCl4, LiCl, LiI, LiB(C2O4)2, and combinations thereof. In a refinement, the electrolyte includes the lithium salt in an amount from about 0.1 M to about 2.0 M.


Still referring to FIGS. 3 and 4, the electrolyte includes a non-aqueous organic solvent and a lithium salt. Advantageously, the non-aqueous organic solvent serves as a medium for transmitting ions, and in particular, lithium ions participate in the electrochemical reaction of a battery. Suitable non-aqueous organic solvents include carbonate-based solvents, ester-based solvents, ether-based solvents, ketone-based solvents, alcohol-based solvents, aprotic solvents, and combinations thereof. Examples of carbonate-based solvents include but are not limited to dimethyl carbonate, diethyl carbonate, dipropyl carbonate, methylpropyl carbonate, ethylpropyl carbonate, methylethyl carbonate, ethylene carbonate, propylene carbonate, butylene carbonate, and combinations thereof. Examples of ester-based solvents include but are not limited to methyl acetate, ethyl acetate, n-propyl acetate, methylpropionate, ethylpropionate, γ-butyrolactone, decanolide, valerolactone, mevalonolactone, caprolactone, and combinations thereof. Examples of ether-based solvents include but are not limited to dibutyl ether, tetraglyme, diglyme, dimethoxyethane, 2-methyltetrahydrofuran, tetrahydrofuran, and the like, and the ketone-based solvent may include cyclohexanone, and the like. Examples of alcohol-based solvent include but are not limited to methanol, ethyl alcohol, n-propyl alcohol, isopropyl alcohol, and the like. Examples of the aprotic solvent include but are not limited to nitriles such as R—CN (where R is a C2-20 linear, branched, or cyclic hydrocarbon that may include a double bond, an aromatic ring, or an ether bond), amides such as dimethylformamide, dioxolanes such as 1,3-dioxolane, sulfolanes, and the like. Advantageously, the non-aqueous organic solvent can be used singularly. In other variations, mixtures of the non-aqueous organic solvent can be used. Such mixtures are typically formulated to optimize battery performance. In a refinement, a carbonate-based solvent is prepared by mixing a cyclic carbonate and a linear carbonate. In a variation, electrolyte 30 can further include vinylene carbonate or an ethylene carbonate-based compound to increase e battery cycle life.


Referring to FIGS. 1, 3, and 4, the negative electrode and the positive electrode can be fabricated by methods known to those skilled in the art of lithium-ion batteries. Typically, an active material (e.g., the positive or negative active material) is mixed with a conductive material, and a binder in a solvent (e.g., N-methylpyrrolidone) into an active material composition and coating the composition on a current collector. The electrode manufacturing method is well known and thus is not described in detail in the present specification. The solvent includes N-methylpyrrolidone and the like but is not limited thereto.


Referring to FIGS. 1, 3, and 4, the positive electrode active material layer 12 includes the positive electrode active material represented by formula 1, a binder, and a conductive material. The binder can increase the binding properties of positive electrode active material particles with one another and with the positive electrode current collector 14. Examples of suitable binders include but are not limited to polyvinyl alcohol, carboxylmethyl cellulose, hydroxypropyl cellulose, diacetyl cellulose, polyvinylchloride, carboxylated polyvinylchloride, polyvinylfluoride, an ethylene oxide-containing polymer, polyvinylpyrrolidone, polyurethane, polytetrafluoroethylene, polyvinylidene fluoride, polyethylene, polypropylene, a styrene-butadiene rubber, an acrylate styrene-butadiene rubber, an epoxy resin, nylon, and the like, and combinations thereof. The conductive material provides positive electrode 10 with electrical conductivity. Examples of suitable electrically conductive materials include but are not limited to natural graphite, artificial graphite, carbon black, acetylene black, ketjen black, carbon fibers, copper, metal powders, metal fibers, and combinations thereof. Examples of metal powders and metal fibers are composed of including nickel, aluminum, silver, and the like.


Referring to FIGS. 1, 3, and 4, the negative active material layer 26 includes a negative active material, includes a binder, and optionally a conductive material. The negative active materials used herein can be those negative materials known to one skilled in the art of lithium-ion batteries. Negative active materials include but are not limited to, carbon-based negative active materials, silicon-based negative active materials, and combinations thereof. A suitable carbon-based negative active material may include graphite and graphene. A suitable silicon-based negative active material may include at least one selected from silicon, silicon oxide, silicon oxide coated with conductive carbon on the surface, and silicon (Si) coated with conductive carbon on the surface. For example, silicon oxide can be described by the formula SiOz where z is from 0.09 to 1.1. Mixtures of carbon-based negative active materials, silicon-based negative active materials can also be used for the negative active material.


The negative electrode binder increases the binding properties of negative active material particles with one another and with a current collector. The binder can be a non-aqueous binder, an aqueous binder, or a combination thereof. Examples of non-aqueous binder may be polyvinylchloride, carboxylated polyvinylchloride, polyvinylfluoride, an ethylene oxide-containing polymer, polyvinylpyrrolidone, polyurethane, polytetrafluoroethylene, polyvinylidene fluoride, polyethylene, polypropylene, polyamideimide, polyimide, or a combination thereof. Aqueous binders can be rubber-based binders or polymer resin binders. Examples of rubber-based binders include but are not limited to styrene-butadiene rubbers, acrylated styrene-butadiene rubbers, acrylonitrile-butadiene rubbers, acrylic rubbers, butyl rubbers, fluorine rubbers, and combinations thereof. Examples of polymer resin binders include but are not limited to polyethylene, polypropylene, ethylenepropylene copolymer, polyethyleneoxide, polyvinylpyrrolidone, epichlorohydrin, polyphosphazene, polyacrylonitrile, polystyrene, ethylenepropylenediene copolymer, polyvinylpyridine, chlorosulfonated polyethylene, latex, a polyester resin, an acrylic resin, a phenolic resin, an epoxy resin, polyvinyl alcohol and combinations thereof.


While exemplary embodiments are described above, it is not intended that these embodiments describe all possible forms of the invention. Rather, the words used in the specification are words of description rather than limitation, and it is understood that various changes may be made without departing from the spirit and scope of the invention. Additionally, the features of various implementing embodiments may be combined to form further embodiments of the invention.

Claims
  • 1. A positive electrode active material comprising a compound represented by formula 1:
  • 2. The positive electrode active material of claim 1, wherein 0.2<x−0.5y+z<0.37.
  • 3. The positive electrode active material of claim 1, wherein 0<y+a<0.09.
  • 4. The positive electrode active material of claim 1, wherein 0.2<x−0.5y+z<0.37 and 0<y+a<0.09
  • 5. The positive electrode active material of claim 1 having formula: Li1.12Mn0.57Ni0.24Co0.07O2.
  • 6. The positive electrode active material of claim 1 having formula: Li1.10Mn0.57Ni0.25Co0.08O2.
  • 7. The positive electrode active material of claim 1, wherein the Mn comprises Mn having an oxidation number of +3 and Mn having an oxidation number of +4.
  • 8. The positive electrode active material of claim 7, wherein a content of the Mn having an oxidation number of +3 is greater than about 3.5 wt % and less than about 45 weight %.
  • 9. The positive electrode active material of claim 7, wherein a content of Mn having an oxidation number of +3 is greater than about 3.5 wt % and less than about 30 weight %.
  • 10. The positive electrode active material of claim 1, wherein M is Co.
  • 11. A rechargeable lithium-ion battery comprising at least one lithium-ion battery cell, each lithium-ion battery cell including: a positive electrode comprising a compound represented by formula 1:
  • 12. The rechargeable lithium-ion battery of claim 11, wherein 0.2<x−0.5y+z<0.37.
  • 13. The rechargeable lithium-ion battery of claim 11, wherein 0<y+a<0.09.
  • 14. The rechargeable lithium-ion battery of claim 11, wherein 0.2<x−0.5y+z<0.37 and 0<y+a<0.09
  • 15. The rechargeable lithium-ion battery of claim 11, having formula: Li1.12Mn0.57Ni0.24Co0.07O2 or formula: Li1.10Mn0.57Ni0.25Co0.05O2.
  • 16. The rechargeable lithium-ion battery of claim 11, wherein each battery cell further includes a separator interposed between the positive electrode and the negative electrode.
  • 17. The rechargeable lithium-ion battery of claim 11, wherein the Mn comprises Mn having an oxidation number of +3 and Mn having an oxidation number of +4.
  • 18. The rechargeable lithium-ion battery of claim 17, wherein a content of the Mn having an oxidation number of +3 is greater than about 3.5 wt % and less than about 45 weight %.
  • 19. The rechargeable lithium-ion battery of claim 11, wherein M is Co.
  • 20. The rechargeable lithium-ion battery of claim 11, wherein each battery cell has a specific capacity greater than 150 mAh/g.