At least one embodiment of the present invention relates generally to electrochemical cells and, more particularly, to stabilized electrodes for electrochemical cells.
For over a half century, the most common battery in use has remained a single discharge (“primary”) battery with a zinc (Zn) anode and a manganese dioxide (MnO2) cathode, and on the order of 1010 of these cells are distributed annually. Introduced in 1866, the only significant chemical change has been replacement of the chloride, by hydroxide, electrolyte. After over a century of development, MnO2/Zn chemistry is approaching fundamental storage limits that constrain device portability. Although capacity limited, one driving force for the continued societal use of these conventional batteries is the several generations of optical, electromechanical, electronic, medical, and more recently digital consumer devices, which have been designed for the normative 1.0-1.5 volts (V) optimal operative domain of the MnO2/Zn battery.
The electroactive storage material is contained and constrained in a battery's cathode and anode electrodes. Solid boride anodes can store more charge than a zinc anode. However, several obstacles are evident towards implementation of this boride anodic chemistry. Borides corrode spontaneously over a large alkaline domain, generating hydrogen gas. The electrochemical potential of boron anodes is also lower than that of zinc. Therefore, a boride manganese dioxide cell is subject to decomposition, and its voltage is several hundred millivolts lower than a conventional Zn—MnO2 battery.
In accordance with one or more embodiments, the invention relates generally to stabilized electrodes for electrochemical cells.
In accordance with one or more embodiments, the invention relates to an electrochemical cell, comprising an anode comprising a boron-containing material and a stabilizing agent, and a cathode in electrochemical contact with the anode.
In accordance with one or more embodiments, the invention relates to a method of generating a current, comprising applying a load to a battery including an anode comprising a boron-containing material and a stabilizing agent.
In accordance with one or more embodiments, the invention relates to a method of facilitating operation of an electrical device, comprising providing an electrochemical cell comprising an anode comprising a boron-containing material and a stabilizing agent, the electrochemical cell further comprising a cathode in electrochemical contact with the anode, and providing instructions directed to connecting the electrochemical cell to the electrical device.
In accordance with one or more embodiments, the invention relates to an alkaline battery, comprising an electrochemical cell constructed and arranged to exhibit an electrical storage capacity of at least about 1000 mAh/g of boride salt.
In accordance with one or more embodiments, the invention relates to an electrochemical cell, comprising an anode comprising a boron-containing material, and an iron(VI) cathode in electrochemical contact with the anode.
In accordance with one or more embodiments, the invention relates to an electrochemical cell, comprising a cathode comprising iron (VI) and a stabilizing agent, and an anode in electrochemical contact with the cathode.
In accordance with one or more embodiments, the invention relates to an electrochemical cell, comprising a cathode comprising a bismuth-containing material and a stabilizing agent, and an anode in electrochemical contact with the cathode.
In accordance with one or more embodiments, the invention relates to an electrochemical cell, comprising a cathode comprising a nickel-containing material and a stabilizing agent, and an anode in electrochemical contact with the cathode.
Other advantages, novel features and objects of the invention will become apparent from the following detailed description of the invention when considered in conjunction with the accompanying drawings.
The accompanying drawings are not intended to be drawn to scale. In the drawings, each identical or nearly identical component that is illustrated in various figures is represented by like numeral. For purposes of clarity, not every component may be labeled in every drawing. Preferred, non-limiting embodiments of the present invention will be described with reference to the accompanying drawings, in which:
This invention is not limited in its application to the details of construction and the arrangement of components as set forth in the following description or illustrated in the drawings. The invention is capable of embodiments and of being practiced or carried out in various ways beyond those exemplarily presented herein.
In accordance with one or more embodiments, the present invention relates generally to improved electrochemical cells. The electrochemical cells may include one or more stabilized electrodes as disclosed herein to facilitate utilization of various oxidation-reduction (“redox”) chemistries. The disclosed electrochemical cells may offer enhanced electrical storage capacity. Beneficially, in at least one embodiment the disclosed electrochemical cells may provide an average discharge potential similar to conventional alkaline MnO2/Zn cells for compatibility with existing and developing electronic requirements. Furthermore, one or more of the disclosed electrochemical cells may be substantially environmentally benign.
In accordance with one or more embodiments, the disclosed electrochemical cells may offer improved electrical storage capacity. In some embodiments, an electrochemical cell may provide more storage capacity than a conventional MnO2/Zn cell, which from the known, intrinsic two electron oxidation of zinc can provide up to 819.6 mAh/g Zn. For example, in some embodiments, an electrochemical cell may be constructed and arranged to provide an electrical storage capacity of at least about 1000 mAh/g of boride salt. In other embodiments, an electrical storage capacity of at least about 2000 mAh/g of boride salt may be provided. In still other embodiments, an electrical storage capacity of at least about 3000 mAh/g of boride salt may be provided. In at least one embodiment, a disclosed electrochemical cell may provide two or more times the storage capacity of a conventional MnO2/Zn cell. An electrochemical cell may be constructed and arranged to exhibit an electrical storage capacity of at least about 3800 mAh/g of boride salt.
In accordance with one or more embodiments, disclosed electrochemical cells may be compatible with existing and/or developing electronic requirements. In at least one embodiment, the disclosed electrochemical cells may offer a standard or conventional electrochemical potential and/or average electrical discharge. For example, the disclosed electrochemical cells may generally be constructed and arranged to generate an electrochemical potential of about 1.5 V. In some embodiments, the average electrical discharge of the disclosed electrochemical cells may be, for example, from about 1.2 V to about 1.4 V.
As illustrated in
First electrode 110 may be located within a first half-cell of electrochemical cell 100 and second electrode 120 may be located within a second half cell of electrochemical cell 100. Thus, each of the reduction and oxidation reactions may be representatively referred to as a half-reaction. The first and second half cells may be divided by a separator or an ion selective membrane 150, for example, to minimize non-electrochemical interaction between first and second electrodes 110, 120.
In at least one embodiment, electrochemical cell 100 may be an alkaline battery. In other embodiments, electrochemical cell 100 may be a fuel cell or any other type of electrochemical device commonly known to those skilled in the art. For example, first electrode 110 may be an air electrode in accordance with one or more embodiments of the present invention. The disclosed electrochemical cells may be single discharge or, alternatively, may be rechargeable (“secondary”) electrochemical cells.
In accordance with one or more embodiments, first electrode 110 may comprise any cathodic material commonly known to those skilled in the art. For example, the cathode may comprise manganese dioxide, nickel hydroxyl-oxide, a bismuth-containing material such as NaBiO3, a periodate material such as KIO4, or silver oxide. In at least one embodiment, first electrode 110 may comprise an iron (VI) salt. Without wishing to be bound by any particular theory, salts containing iron in the +6 valence state may be capable of multiple electron reduction to the +3 valence state, providing a high cathode storage capacity. First electrodes 110 may therefore be implemented based on iron (VI) chemistry in accordance with iron-based storage batteries as disclosed, for example, in U.S. Pat. Nos. 6,033,343 and 6,387,569, as well as U.S. Patent Application Publication Nos. 2002/0146618 and 2002/0155351, all to Licht, which are hereby incorporated herein by reference in their entirety for all purposes. For example, cathode 110 may comprise K2FeO4, Ag2FeO4, alkali (such as lithium sodium, rubidium and cesium) iron (VI) salts, alkali earth (such as strontium and barium) iron(VI) salts, or mixtures thereof.
In accordance with one or more embodiments, second electrode 120 may comprise any anodic material commonly known to those skilled in the art. In at least one embodiment, second electrode 120 may comprise a boron-based material. For example, anode 120 may comprise a metal boride such as VB2, TiB2, ZrB2, MgB2, CrB, CoB, LaB6, or mixtures thereof. Without wishing to be bound by any particular theory, a boron-containing anode may be effective in storing several fold more charge than, for example, a conventional zinc anode.
In accordance with one or more embodiments, an electrochemical cell may include one or more stabilized electrodes. As used herein, the term “stabilized” refers generally to resistance to change, for example, regarding quality, character, attribute, nature and/or condition. In at least one embodiment, one or more of first and second electrodes 110, 120 may be substantially protected or stabilized against, for example, high temperatures, passivation and/or corrosion. As used herein, the term “passivation” refers generally to the changing of a chemically active surface to a less reactive state, and the term “corrosion” refers generally to a chemical or electrochemical reaction that causes deterioration of a material and/or its physical properties. The inherent stability of various anodic and/or cathodic materials may vary. For example, an iron (VI) salt may form a ferric overlayer, passivating the cathode from further discharge. Likewise, boron may tend to spontaneously corrode, particularly over a large alkaline domain.
In accordance with one or more embodiments, at least one of the first and second electrodes 110, 120 may comprise a stabilizing agent. The stabilizing agent may generally be effective in protecting the electrode. More specifically, the stabilizing agent may comprise a material capable of protecting the electrode from high temperatures, passivation and/or corrosion. Thus, the stabilizing agent may, for example, be an anti-passivation and/or an anti-corrosion agent. In some embodiments, the stabilizing agent may be substantially insoluble, so as to maintain integrity within the environment of electrochemical cell 100. In at least one embodiment, the stabilizing agent may be an ion conductor, such as a hydroxide ion conductor, to generally enable electrolyte 140 to facilitate redox reactions within electrochemical cell 100.
For example, the stabilizing agent may comprise zirconia in accordance with one or more embodiments.
The zirconia may be present in an effective amount sufficient to generally stabilize an electrode. The zirconia may also be present in an effective amount to facilitate charge retention. Excess zirconia may generally lead to overpotential of an electrode while too little may be insufficient for maximum charge retention. In some embodiments, for example, zirconia stabilizing agent may be present in an amount from about 0.1 wt. % to about 10 wt. % of the electrode. In at least one embodiment, zirconia may be present in an amount from about 0.3 wt. % to about 5 wt. % of the electrode. In accordance with one or more embodiments, zirconia may be present in an amount of about 1 wt. % of the electrode.
The stabilizing agent, such as zirconia, may be included in an electrode in any manner commonly known to those skilled in the art. For example, in some embodiments zirconia may be applied to an outer surface of the electrode, such as with a coating technique. In other embodiments, materials of the electrode may be stabilized with zirconia prior to electrode formation. For example, zirconia may be applied to one or more electrode materials prior to electrode formation. In at least one embodiment, an electrode material may be coated or encapsulated with zirconia prior to electrode formation. For example, a zirconium salt may be dissolved in a solvent, such as an ether, and then mixed with an electrode material, such as boron-containing powder. The solvent may then be evaporated and the mixture dried to create zirconia stabilized boron. The stabilized electrode material may then be mixed with other electrode materials, such as conductive materials and binders, to form an electrode. For simplicity, the term “coating” may be used generally to refer to the stabilizing agent of an electrode in accordance with one or more embodiments of the present invention. A more detailed description of the formation/protection mechanism for zirconia coated electrodes is presented in the article by Licht et al., Cathodic Chemistry of High Performance Zr Coated Alkaline Materials, Chem Commun (Camb) Nov. 4. 2006;(41):4341-3, which is hereby incorporated herein by reference in its entirety for all purposes. The Examples presented further below may also generally involve this evaporative coating technique for stabilizing electrodes.
An electrochemical cell in accordance with one or more embodiments of the present invention may include any combination of anode and cathode as disclosed herein. For example, in one embodiment an electrochemical cell may include an anode comprising a boron-containing material. In another embodiment, an electrochemical cell may include an iron (VI) cathode. In yet another embodiment, an electrochemical cell may include an anode comprising a boron-containing material and an iron (VI) cathode. Either or both the anode and cathode of a disclosed electrochemical cell may be stabilized, for example, with zirconia.
In accordance with one or more embodiments of the present invention, an effective, unusual alternative to alkaline manganese zinc battery chemistry is introduced, utilizing the simultaneous 5 electron (e−) oxidation of boride and 3e− reduction of super-oxidized valence state iron, and storing considerably higher electrochemical energy. In at least one embodiment, the present invention relates to a new realm of alkaline batteries based on an environmentally benign zirconia stabilized Fe6+/B2− chemistry, which sustains an electrochemical potential compatible to the pervasive, conventional alkaline (MnO2—Zn) battery, however with a much higher electrical storage capacity. A zirconia overlayer on either TiB2 or VB2 boride anodes, or super-iron, such as K2FeO4, cathodes prevents alkaline passivation, while sustaining facile charge transfer. VB2 exhibits an anodic capacity 5.0 times that of zinc. Without wishing to be bound by any particular theory, the energetic Fe6+ cathode may be effective in elevating, and fully compensating, for the boride/zinc anode potential differential. The combined super-iron boride chemistry may generate an E°=1.5 V, and an average discharge of 1.2-1.4 V.
The function and advantages of these and other embodiments of the invention can be further understood from the examples below, which illustrate the benefits and/or advantages of the system and methods of the invention but do not exemplify the full scope of the invention.
It is evident that the MnO2/boride cell generates 0.2-0.3 V lower discharge potential, while the potential generated by the super-iron/zinc cell is 0.2-0.3 V higher, than that of the conventional MnO2/zinc cell. However, the new Fe6+/B2− system generates an open circuit potential of 1.5 V, and as evident in
As seen in
TiB2+12OH−→Ti(amorphous)+2BO33−+6H2O+6e− (1)
In accord with Eq. 1, and a formula weight, W=69.5 g mol−1, TiB2, has a net intrinsic 6e− anodic capacity of 6F/W=2314 mAh/g (F=the faraday constant). In addition to Eq. 1, the small third acid dissociation constant of boric acid (pKa3(H3BO3)=13.8), drives BO33− hydrolysis to spontaneously buffer hydroxide depletion during discharge:
2BO33−+2H2O2OH−+2HBO32− (2)
The vanadium boride anode, VB2, has 5.0 times the alkaline capacity of zinc. Unlike TiB2, the alkaline VB2, undergoes an oxidation of two borons and the tetravalent transition metal ion, with V(IVV), which is a net 11e− anodic process. Without being bound to any theory, therefore in accord with Eq. 3, VB2, will have an intrinsic 11e− anodic capacity of 11F/(W=72.6 g mol−1)=4060 mAh/g, rivaling the high anodic capacity of lithium (3860 mAh/g).
VB2+20OH−→VO43−+2BO33−+10H2O+11e− (3)
At open circuit, it was measured for Eqs. 1 and 3: E°(TiB2)=0.97 V and E°(VB2)=0.91 V versus standard hydrogen. As evident in the inset of
With reference to
Without being bound to any theory, an alkaline super-iron cathode, stores charge via a 3e− Fe(VI=>III) reduction, to a ferric hydroxide or oxide product, varying with the depth of discharge and degree of dehydration.
FeO42−+3H2O+3e−″FeOOH+5OH− (4)
FeO42−+5/2H2O+3e−→1/2Fe2O3+5OH− (5)
K2FeO4 has an intrinsic 3e− cathodic storage capacity of 3F/(W=198 g mol−1)=406 mAh/g, much higher than that of MnO2 (308 mAh/g). Hydroxide and Ag(II) additions mediate Fe6+ charge transfer. Consistent with this observation, in lieu of the pure K2FeO4 salt utilized in
The small voltage plateau evident in
The super-iron boride cell which was used contained either a titanium, or a vanadium, boride anode, as indicated in
The range from practical to theoretical (2F per Zn+2MnO2), maximum capacity of the conventional alkaline battery is shown as dashed vertical lines in
Without being bound to any theory, the reaction products will depend on the depth of discharge, pH and the degree of dehydration of the boric and ferric products (Eqs. 2, 4-5), and for a titanium boride anode, the cell may be generalized in the representative deep discharge reaction:
TiB2+2FeO42−→Ti+2Fe2O3+2HBO32− (6)
The discharge products of the Fe6+/B2− system, ferric oxide and boric acid, are environmentally benign. The limiting capacity of the super-iron boride cell will vary with cell configuration and rate of discharge. Without being bound to any theory, the hydroxide and charge balanced super-iron vanadium boride cell requires less BO33− hydrolysis than the analogous titanium cell:
VB2+11/3FeO42−+5/6H2O→11/6Fe2O3+VO43−+1/3BO33−+5/3HBO32− (7)
As seen in
TiB2 visibly reacts on contact with KOH electrolyte (evolving hydrogen). This is not only a chemical loss of the electrochemical capacity and is flammable, but in addition due to the evolved gas, a sealed battery will swell or even crack during storage. A low level (1%) zirconia coating, generated in the same manner which had been applied to stabilize the Fe6+ cathode, stops this chemical decomposition of the anode. Fe6+ tends to form a ferric overlayer; the bulk super-iron remains active, but the overlayer would inhibit cathodic charge transfer. This Fe6+ alkaline passivation is suppressed through a zirconia overlayer to mediate hydroxide transport to the electrode. Stabiized zirconia was introduced as a pH sensor for high temperature aqueous systems, and Zr(OH)4 is a hydroxide ion conductor, which will readily exchange between solution phase hydroxide, phosphate fluoride, and sulfate.
A 1% ZrO2 coating was formed via 8 mg ZrCl4 (AR grade, ACROS®), dissolved in 8 ml ether (Fisher®) and the overlayer provides an ionic conductive, alkaline stable coating. As with super-iron salts, the boride salts are insoluble in the ether coating solution. The solution was stirred with 0.8 g of the solid powder anode or cathode salt in air for 30 min., followed by vertex suction, then vacuum removal of the remaining solvent, and drying overnight.
A 1% zirconia coated titanium boride does not evolve hydrogen. Stability, of not only the K2FeO4 cathode, but also the TiB2 anode, dramatically improves with this zirconia coating. As seen in
The super-iron boride chemistry exhibited substantially higher charge storage than conventional alkaline primary storage chemistry. The study was limited to available titanium and vanadium boride salts. A further optimization of both the boride and super-iron salt particle size, coupled with study and variation of the zirconia coating, should further enhance cell longevity. Alternate metal borides, as well as alternate super-irons will also affect characteristics of the super-iron boride cell capacity. Expected high intrinsic alkaline capacities of alternate borides include that for ZrB2, MgB2, CrB2, CoB, NiB2, TaB, TaB2 and LaB6. In addition to K2FeO4, the cathodic behavior of a variety of Fe6+ salts has been studied including Ag2FeO4, and other alkali (lithium, sodium, rubidium and cesium) and alkali earth (strontium and barium) Fe6+ salts, and further understanding of the charge transfer of these, and other, unusual super-iron salts will also impact charge transfer, retention, capacity of the new super-iron boride chemistry.
Ether was chosen as a coating solvent due to its facile evaporation (BP=34° C.), ZrCl4 solubility, and no reaction or solubility with the cathode materials. 8 mg ZrCl4 (AR grade, ACROS®) was dissolved in 8 ml ether (Fisher®), and stirred with 0.8 g solid (insoluble) K2FeO4 in air for 30 min., followed by vertex suction, then vacuum removal of the remaining solvent, and drying overnight. K2FeO4 of 97-98.5% purity was prepared by alkaline reaction of Fe(NO3)3 with KClO. AgO,was prepared by the 85° C. alkaline reaction of AgNO3 with K2S2O8. Other cathode materials MnO2 (EraChem K60), NiOOH (from Powerstream® Ni-MH button cell), NaBiO3 (ACROS®) and KIO4 (ACROS®), and AgO were effectively coated with the same methodology.
Analysis of the coating was performed with Attenuated Total Reflectance Fourier Transform Infrared (ATR/FT-IR) Spectrometry (Nicolet 4700), in which the powder sample was compressed to a thin pellet and pressed firmly onto a Smart Orbit (Thermo Electron Corporation) diamond crystal. ATR/FT-IR spectra of several uncoated and coated cathode materials are shown in
ZrCl4+2O2→ZrO2+2Cl2; ZrO2+2H2OZr(OH)4 (8)
High capacity boride anodes were also modified with zirconia. ATR/FT-IR analysis results of uncoated and coated VB2, TiB2 anodes are shown in
1 wt. % zirconia coating, prepared with 30 min. coating time, was observed to have the best effect on charge retention of a coated cathode. 0.3 to 5% zirconia coatings were prepared. Excess coating is observed to the cathode overpotential, whereas, a lesser coating is insufficient for maximum charge retention. Smaller particle anode and cathode salts with thick zirconia overlayers can also be more stable and more electrochemically active.
The effect of the 1% zirconia coating on alkaline cathodes can be dramatic. Electrochemical enhancement of the zirconia coating was evaluated through preparation of alkaline (metal hydride anode) button cells with coated, or uncoated, cathodes. Cathodes were composed of 20 mAh of KIO4 or K2FeO4 (coated or uncoated), with graphite as a conductor (1μ graphite, Leico Industries Inc.). Saturated KOH was used as the electrolyte, and the metal hydride anode was removed from a Powerstream® Ni-MH button cell. Cells were discharged at constant load of 3000Ω; the potential variation over time was recorded via LabView Acquisition on a PC, and the cumulative discharge determined by subsequent integration.
Among the super-iron cathodes, K2FeO4 exhibits higher solid state stability (<0.1% decomposition/year) and higher intrinsic 3e− capacity than pure BaFeO4, but the rate of charge transfer is higher in the latter. Charge transfer is enhanced many-fold in K2FeO4 by small additions of AgO or KOH, and at low current densities the cathode approaches the intrinsic over 400 mAh/g storage capacity. However, the Fe(VI) forms a ferric overlayer, upon storage the bulk Fe(VI) remains active, but the overlayer passivates the alkaline cathode towards further discharge. This is seen in
Zn/air cells exhibit among the highest practical volumetric energy of commercialized electrochemical systems. With external oxygen from the ambient atmosphere, Zn/air cells are a hybrid of a battery and a fuel cell. The intrinsic capacity of the zinc air fuel cell is 9.4 kWh/L (based on the 1.6 V theoretical open circuit potential, and 2F per mole, as well 7.1 kg/L density, of zinc.) Commercial zinc air batteries, with a practical cell voltage of 1.3 V and inclusive of the volume of the air catalyst and all other cell components, currently exceed a practical 1.75 kWh/L cell capacity.
Without wishing to be bound by any particular theory, in accord with a formula weight, W=69.5 g mol−1, TiB2, has a net 6F (F=the faraday constant) intrinsic anodic capacity of 2314 mAh/g. Unlike TiB2, the alkaline anodic behavior of another tetravalent transition metal boride, a VB2 salt, W=72.6 g mol−1, undergoes an oxidation of both the tetravalent transition metal ion, V(+4→+5), and each of the borons 2×B(−2→+3), for an unusually high net 11 electron/molecule process, and has an intrinsic 11F (F=the faraday constant) gravimetric anodic capacity of 4060 mAh/g.
Without wishing to be bound to any particular theory, the VB2 cell reaction for an 11 e− boride air battery and/or fuel cell is given in:
VB2+11/4O2→½V2O5+B2O3 Ecell°=1.3 V (9)
Eq. 9 is a result of the 11 e− vanadium boride anodic half reaction, and without being bound to any theory, is expressed:
VB2+11OH−→½V2O5+B2O3+11/2H2O+11e− E°=−0.9 V vs SHE (10)
Coupled with an oxygen/air cathode:
O2+2H2O+4e−→4OH− E°=+0.4 V vs SHE (11)
The equation 9 cell products are generalized as B2O3 and V2O5, which are the respective anhydride salts of boric acid (H3BO3 with pK1,2,3=9.1,12.7 and 13.8) and vanadic acid (H3VO4 with pK1,2,3=3.8,7.8 and 13.0). In solution, speciation of the reaction equation 9 product is complex. The products will vary with hydroxide concentration, and depth of discharge, and without being bound to any theory can include cations containing B2O3 and V2O5, species, such as in either a KOH or NaOH electrolyte: KxHzBO33-x-z or NaxHzBO33-x-z (where x ranges from 0 to 3, and z from 0 to 3-x), as well as polymeric species, such as related to the boric condensation reaction forming borax species: NayB4O72-y, KyB4O72-y, and analogous vanadium species.
Consistent with the VB2 charge capacity, and density=5.1 kg/L the VB2/air fuel cell has an intrinsic (theoretical) volumetric energy capacity of (4060 Ah/kg×1.3 V×5.1 kg/L)/(0.0726 kg mol−1)=27 kWh/L (5.3 kWh/kg). This volumetric energy capacity equivalent to 97 MJ/L, is greater than that of gasoline, and is an order of magnitude greater than that of all rechargeable batteries, including Li ion, metal hydride or lead acid. As shown in
Other embodiments of the stabilized electrodes for electrochemical cells of the present invention, and methods for their design and use, are envisioned beyond those exemplarily described herein.
As used herein, the term “plurality” refers to two or more items or components. The terms “comprising,” “including,” “carrying,” “having,” “containing,” and “involving,” whether in the written description or the claims and the like, are open-ended terms, i.e., to mean “including but not limited to.” Thus, the use of such terms is meant to encompass the items listed thereafter, and equivalents thereof, as well as additional items. Only the transitional phrases “consisting of” and “consisting essentially of,” are closed or semi-closed transitional phrases, respectively, with respect to the claims.
Use of ordinal terms such as “first,” “second,” “third,” and the like in the claims to modify a claim element does not by itself connote any priority, precedence, or order of one claim element over another or the temporal order in which acts of a method are performed, but are used merely as labels to distinguish one claim element having a certain name from another element having a same name (but for use of the ordinal term) to distinguish the claim elements.
Those skilled in the art should appreciate that the parameters and configurations described herein are exemplary and that actual parameters and/or configurations will depend on the specific application in which the systems and techniques of the invention are used. Those skilled in the art should also recognize, or be able to ascertain, using no more than routine experimentation, equivalents to the specific embodiments of the invention. It is therefore to be understood that the embodiments described herein are presented by way of example only and that, within the scope of the appended claims and equivalents thereto, the invention may be practiced otherwise than as specifically described.
This invention was made with Government support under Grant No. DE-FG02-04ER15585 awarded by the U.S. Department of the Energy. The Government of the United States may have certain rights in and to the invention claimed herein.