HIGH FREQUENCY SUPERCAPACITORS AND METHODS OF MAKING SAME
20210134536 · 2021-05-06
Assignee
Inventors
Cpc classification
H01G11/26
ELECTRICITY
H01G11/28
ELECTRICITY
H01G11/34
ELECTRICITY
Y02E60/13
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
H01G11/24
ELECTRICITY
H01G11/36
ELECTRICITY
International classification
H01G11/36
ELECTRICITY
H01G11/24
ELECTRICITY
H01G11/28
ELECTRICITY
Abstract
High-frequency supercapacitors that can respond at kilohertz frequencies (AC-supercapacitors). The electrodes of the AC-supercapacitors include edge oriented graphene (EOG) electrodes or carbon nanofiber network (CNN) electrodes. The EOG electrodes are formed by utilizing a plasma and feedstock carbon gas to carbonize cellulous paper and deposit graphene implemented in one step. The CNN electrodes are formed by pyrolyzing a carbon nanofiber network utilizing a plasma.
Claims
1-32. (canceled)
33. An AC-supercapacitor comprising: (a) a pair of carbon nanofiber network (CNN) electrodes; (b) a separator to separate the electrodes; and (c) electrolytes between the electrodes, wherein the AC-supercapacitor is operable for running at frequencies of at least 0.1 kHz.
34. The AC-supercapacitor of claim 33, wherein the AC-supercapacitor is operable for running at frequencies of at least 1 kHz.
35. The AC-supercapacitor of claim 33, wherein the AC-supercapacitor uses aqueous electrolyte.
36. The AC-supercapacitor of claim 33, wherein the AC-supercapacitor uses organic electrolyte.
37. The AC-supercapacitor of claim 33, wherein the AC-supercapacitor has a voltage operation window of at least about 2 V.
38-58. (canceled)
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0078] The foregoing and other objects, features, and advantages of the present invention will be apparent from the following description of embodiments as illustrated in the accompanying drawings, in which reference characters refer to the same parts throughout the various views. The drawings are not necessarily to scale, emphasis instead being placed upon illustrating principles of the present invention:
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DETAILED DESCRIPTION OF THE INVENTION
[0112] The present invention are ultra-high rate (ultra-fast, high-frequency) supercapacitors that can respond at hundreds hertz or kilohertz frequencies (AC-supercapacitors). With a compact size, AC-supercaps can be used in lieu of ubiquitous (but bulky, high loss and low-performance) aluminum electrolytic capacitors (AECs), for line-frequency ripple current filtering, power conditioning, and many other functions needed in any electric power system design and electronic circuit design. This is a disruptive technology that has huge impacts on compact and efficient power supplies and power electronics. They are also suitable for pulse energy storage harvested form environment, for pulse power generation to drive actuators, for strobes or burst communication, or short pulse generation for wearable or implantable devices to provide aid or support the smooth functions of the muscle, organs, or heart such as cardiac pacemaker.
[0113] The electrode material and its nanostructure of the present invention provide the boost of the response frequency of the supercapacitors from quasi-DC (<a few Hz) to above 1 kHz AC. Due to the contradiction requirements of high frequency and high capacitance density, kHz AC-supercaps with much compact size and better performance over AECs have been constructed, including those with cutoff frequencies of more than 3 kHz and an areal capacitance of more than 3 mF/cm.sup.2.
[0114] The electrodes utilized in the present invention can be formed by using edge orientated multilayer graphene that are grown around carbonized cellulous paper where the carbonization of the cellulous paper and graphene deposition are implemented in one step. The electrodes of the present invention can also be formed by using an interconnected carbon nanofiber based carbon nanofiber network (CNN).
Edge Oriented Graphene (EOG) Electrode Material
[0115] Flexible, thin, light, and freestanding edge oriented graphene (EOG) electrode materials, made from rich and renewable cellulose resource, are excellent and more practical electrodes for AC-supercapacitors.
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[0117] In this process, the cellulose decomposed or reduced due to active hydrogen species in the plasma and converted into amorphous carbon and further partially graphitized due to high temperature, resulting in carbonized cellulose sheet (carbon fiber sheet with each fiber having a diameter such as several micrometers). Meanwhile, active carbon species from carbon feedstock plasma, assisted with hydrogen species, will deposit on the carbonized cellulose sheet forming perpendicularly oriented graphene flakes circling around each carbon fiber in the sheet, with graphene edges fully exposed, the so-called edge-oriented graphene network structure, or EOG. This resulted in EOG coated carbon fiber sheets 104 (also referred to herein as the EOG electrode materials).
[0118] With massive loss of oxygen and hydrogen and part of carbon compositions during plasma pyrolysis, the cellulose paper 101 and the EOG electrode material 104 exhibit very different morphology and composition. Such EOG electrode materials have a nominal area reduced by a factor of 5-6 (
[0119] In the Raman spectrum of EOG electrode material 104, characteristic D, G, 2D, and 2D′ peaks of graphene/thin-graphite are clearly identified. The intensity ratio of 2D peak and G peak, I.sub.2D/I.sub.G, is ˜1.31, suggesting that each graphene flake consists of multiple graphene atomic layer.
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[0121] Each individual carbon fiber has a size of a few micrometer in diameter, in contrast to the tens micrometer size of the pristine cellulose fiber. A single sheet of EOG electrode material is approximately 10 μm thick based on cross-sectional view of imaging. Most carbon fibers have a solid core, but some of them do have a hollow feature. The graphene flake network, with a maze-like morphology, has a height of several hundred nanometer and fully encompasses individual carbon fibers. The morphology of edge-oriented graphene flake network are further revealed by the TEM images.
[0122] Densely-packed graphene flakes grown on the surface of carbon fibers are displayed (
[0123] Such a freestanding network of the EOG electrode material combines several unique features together, very suitable for developing AC-supercaps with high capacitance density. First of all, the edge oriented graphene network provides high density and easily accessible graphene edges. These atomic edges or steps have rich adsorption sites for electrolyte ions, and therefore, offer much higher charge storage capacity than its basal plane. It was reported that the edge plane of graphite offers a capacitance of 50-70 μF/cm.sup.2, around 20 times higher than its basal plane. The edge orientation of graphene flakes, with sub-μm flake height and wide opening channels between flakes, minimizes the porosity effect which otherwise would restrict ionic transport, and hence the high frequency response could be achieved. The well-connected EOG electrode material delivers a high electronic conductivity to minimize the series resistance.
[0124] Unlike previously reported VOG grown on a 2-D planar substrate with a limited surface area, EOG growth around the porous 3-D carbon fiber network offers a large surface area for a given footprint, particularly the micrometer-size macropores (
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[0126] For example, coin cells 401 were made utilizing the EOG electrode material 104 made as described above, as follows: Using a single sheet EOG electrode material 104 with a thickness of 10 μm as the electrodes 406 (cut to the proper size), symmetric cells (e.g., two electrodes are the same) were assembled to test their performance. The electrodes 406 (the EOG electrodes) were soaked in an aqueous electrolyte (6 M KOH aqueous electrolyte) for 12 hours and then assembled in coin cells 401 with a 25 μm thick separator.
[0127] The stability of the aqueous electrolyte was found to limit the working voltage to less than ˜0.9 V.
[0128] The Nyquist plot of the measured impedance Z(ω) is shown in
[0129] The corresponding impedance phase angle data vs. frequency (Bode plot) is shown in
C.sub.A=(−1/ωZ″)×(2/A)=−2/ωZ″A (1)
where A is the footprint area of EOG electrode. The derived areal and volumetric capacitances per electrode are plotted in
[0130] The frequency-dependent capacitance can also be estimated based on the method of Taberna et al., “Electrochemical Characteristics and Impedance Spectroscopy Studies of Carbon-Carbon Supercapacitors” J. Electrochem. Soc. 2003 150, A292-A300 to define complex capacitance C.sub.C(ω) as:
C.sub.C(ω)=C′(ω)−(jC″(ω))=1/jωZ (2)
where C′(ω) is the accessible capacitance at the corresponding frequency, while C″(ω) corresponds to energy dissipation due to irreversible process (resistive loss). The evolution of C″(ω) with frequency reaches a maximum at the cutoff frequency ƒ.sub.0 that defines the relaxation time constant τ.sub.0. The electrode areal capacitance, calculated as C.sub.A=2C′/A, and C0″ are plotted in
[0131] One motivation to develop AC-supercap is to replace the bulky AEC by compact AC-supercap for AC line-frequency current ripple filtering or other high-frequency applications. Therefore, these AC-supercaps must have a compact size with a large volumetric capacitance in term of the whole package. Therefore, the active material should have enough loading in the electrode when considering the inactive volume in a packed cell. Most reports in the literature, based on sub-μm thick active layers, significantly fall short in this aspect. It is obvious that for a thick active layer to response in the kHz range, macropores are necessary for free electrolyte ions transporting deeply into the thick layer. The macropores in the hierarchical EOG electrode material might afford this capability even when several sheets are stacked together for a thicker electrode that is necessary for practical devices with a large capacitance. Therefore, the cell performance of electrodes based on 1-, 2-, and 3-layered sheets of EOG electrode material were tested and compared.
[0132] In
[0133] The cutoff frequency and relaxation time constant, as indicated by
Carbon Nanofiber Network (CNN) Electrode
[0134] Through a rapid plasma pyrolysis process, a carbon nanofiber network (CNN) electrode material, which consists of interconnected carbon nanofibers (such as a carbonized bacterial cellulose (CBC) aerogel) is suitable as electrode for kHz AC-supercap with extremely large areal capacitance (at 120 Hz). The voltage operation window can be increased to ˜3 V when an organic electrolyte used (instead of an aqueous electrolyte). Their excellent performance is attributed to the suitable pore size and well-crosslinked nanofiber structure of CNN electrode material (such as CBC aerogel) that can simultaneously offer a high ionic conductivity for the electrolyte in the porous electrode, a high electronic conductivity and a large surface area, resulting in high frequency response and large areal capacitance. The potential of these AC-supercaps for current ripple filtering in AC/DC converter and high-frequency pulse energy storage has been demonstrated, showing that these AC-supercaps can be utilized in these and other similar applications.
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[0136] The cellulose nanofiber network produced by microbial fermentation can be bacterial cellulose (BC) cultivated using Kombucha strains (the method used for production of Kombucha tea), as described in Zhu, C. et al., “Kombucha-synthesized bacterial cellulose: Preparation, characterization, and biocompatibility evaluation,” Journal of Biomedical Materials Research Part A 2014, 102 (5), 1548-1557.
[0137] For example, black tea (5 g) was boiled in 500 mL water for 5 min to obtain tea solution. After cooling down, 100 g sucrose, 5 g yeast extract, and 0.5 g peptone were added to the tea. By adding water and acetic acid, 1 L culture solution was made with a pH value of 5.0. Using a shallow glass container, the Kombucha strains were cultured in the solution for several days or weeks, depending on the BC pellicle thickness required. The cultivation temperature was maintained at ˜30° C. The obtained new pellicles were washed with water to remove the culture solution and then boiled in 1.0% NaOH solution for 2 h to eliminate the bacterial cells. After washing in de-ionized water, BC hydrogels were obtained.
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[0139] The BC aerogel is then formed from the BC hydrogel. For example, this can be done by freeze drying the BC hydrogel dried at −80° C. overnight followed by vacuum drying to remove all water content to obtain BC aerogels such as a tiny piece shown in
[0140] The x-ray diffraction (XRD) pattern (
[0141] Pyrolysis of synthesized polymer and cellulose polymer precursors, including BC, to derive carbon material has been commonly conducted in a thermal process with N.sub.2 or Ar environment at temperature more than 800° C. for a few to more than 10 hours. Micropore activation during this long-duration thermal process, through physical decomposition and chemical etching is also a very common practice for achieving a large surface area for electrode applications. However, this energy-consuming thermal pyrolysis process to introduce micropores, is detrimental for the electrode frequency response, and therefore is not suitable for AC-supercaps.
[0142] Referring back to
[0143] For example, the chamber is refilled with a mixture of methane (50 sccm) and H.sub.2 (100 sccm) at a pressure of 30 Torr. The temperature inside the chamber is controlled at 750° C. 1 kW microwave radiation was applied to create plasma. It was observed that a short period (15 minutes) of plasma pyrolysis of the cellulose nanofiber network 701 produced carbon nanofiber network (CNN) electrode material 704 with excellent electronic conductivity, large interconnected pores for rapid electrolyte ion migration, and reasonable surface area. Without employing any further treatment, such as structural modification, doping of electrode material or applying metallic current collector that were commonly used in other studies, the obtained carbon nanofiber network (CNN) electrode material 704 was demonstrated to be very suitable for AC-supercaps.
[0144] After plasma pyrolysis, the carbon nanofiber network (CNN) electrode material 704 area was shrunk to about 30% and the mass was largely reduced. The morphology of the CNN electrode material 704 is shown in the SEM image of
[0145] Such CNN electrode material can also be incorporated into a coin cell, such as shown in
[0146] Aqueous Electrolyte Cells
[0147] CNN electrodes were studied with three different thicknesses of 10, 20 and 60 μm, named as CBC-10, CBC-20 and CBC-60, respectively. (“CBC” stands for carbonized BC) The performance of these electrodes was evaluated in 6M KOH aqueous electrolytes. The frequency dependent behaviors were characterized via electrochemical impedance spectroscopy (EIS) measured form 100 kHz to 1 Hz, with a sinusoidal AC voltage of 10 mV amplitude, using the assembled symmetric coin cells.
[0148] The Nyquist plot of EIS for CBC-20 based aqueous cells is presented in
[0149] The Bode plot of the same EIS spectrum is presented in
[0150] Using the RC model, the capacitance below the knee frequency was calculated and the dependence of the areal capacitance (C.sub.A) of CBC-20 electrode on frequency is also shown in
[0151] The electrode thickness effect on capacitance and frequency response are presented in
[0152] Cyclic voltammetry (CV) and Galvanostatic charge-discharge (C-D) cycling was further studied. Capacitance cycling stability was tested for a CBC-10 aqueous cell (
[0153] Organic Electrolyte Cells
[0154] CBC-10, CBC-20 and CBC-60 three electrodes were also studied in organic electrolyte (such as 1 M tetraethylammonium tetrafluoroborate (TEABF4) in anhydrous acetonitrile (AN) solution).
[0155] The areal capacitance vs. frequency for three electrodes are compared in
[0156] In comparison to aqueous cells, organic cells can work at much higher voltage. CV study of a CBC-10 based organic cell was performed up to 1000 V s.sup.−1 rates in a potential window of 0-2.5 V (
[0157] It was observed that the organic cells exhibit smaller capacitance than aqueous cells. The relative dielectric constant of the corresponding solvent medium certainly has a role in determining the double layer capacitance, since water has a dielectric constant of 80.1, more than double over that of acetonitrile (37.5).
[0158] The difference in ionic radii of solvated ions might also impact the capacitance. The solvated ionic radii of K.sup.+ and OH.sup.− are 3.31 Å and 3.00 Å, respectively. In contrast, the solvated ionic radii of TEA.sup.+ and BF.sub.4.sup.− in acetonitrile are 13.04 Å and 11.56 Å, respectively. For larger ions, the number of adhered ions per unit surface area will be smaller. Surface wettability (or the accessible surface area) is perhaps the most critical factor. For PECVD grown VOG electrodes, a pure carbon surface renders their hydrophobic property, and therefore a lower capacitance in aqueous electrolyte than in organic electrolyte. However, carbonized cellulose always have oxygen remains and XPS study of our CBC materials indicated ˜5% oxygen remaining, which renders the CBC of the present invention with high water absorption capability to form CBC hydrogel. These three factors result in a larger CBC electrode capacitance in aqueous electrolyte than in organic electrolyte.
[0159] Plasma Pyrolysis vs. Thermal Pyrolysis
[0160] It is noted that several studies have employed pyrolyzed bacterial cellulose as electrodes for conventional EC, where typical furnace based pyrolysis and chemical activation technique was adopted. In those reports, high-density micropores and mesopores were introduced for enhanced energy density. The large electrochemical resistance arising from strong porous effect results in their sluggish frequency response, and therefore, they cannot be applied for AC-supercaps. In embodiments of the present invention, when the same BC aerogel was pyrolyzed using the conventional furnace process at 800° C. for 2 hours in Ar environment, even without chemical activation, the resulting CNF film electrodes exhibited sluggish response with ƒ.sub.0 of 8 Hz in KOH and 3 Hz in TEABF.sub.4/AN organic electrolyte. The CBC electrodes from the long-duration thermal pyrolysis process have a very slow frequency response and are not suitable for AC-supercaps.
[0161] Plasma gases also play a crucial role in determining the CBC property and its frequency response. Pure H.sub.2 plasma and CH.sub.4/H.sub.2 (1:2) mixture plasma was both used for BC pyrolysis, and the obtained CBC had considerable different morphology and frequency response. Even with the same input plasma power, the sample in pure H.sub.2 plasma had a considerable lower temperature than that in CH.sub.4/H.sub.2 mixture plasma and the etching effect by the pure H.sub.2 plasma might also contribute to micropore generation in CBC. Therefore, CBC pyrolyzed in H.sub.2 plasma had a characteristic frequency ƒ.sub.0˜100 Hz, more than one order of magnitude lower than in CH.sub.4/H.sub.2 mixture plasma.
[0162] It should be emphasized that the nanoscale fibers of BC with a large surface area is an important factor for achieving large capacitance density. Microscale plant cellulose, i.e., conventional Kimwipe tissue paper, was compared with nanoscale BC. For a same thickness, the former had a capacitance ˜5 times smaller than the latter when both were prepared under the same plasma pyrolysis condition. All these results indicated the superiority of plasma pyrolysis of nanoscale BC crosslinked fibers for use in AC-supercaps.
[0163] Applications
[0164] In contrast to conventional supercaps that only run at quasi-DC current by acting as energy storage, AC-supercaps can respond at high frequency, and therefore act as filtering capacitors. They have much larger capacitance density and smaller equivalent series resistance (ESR) than AECs. Thus, they offer much better performance for power circuits.
[0165] Most of AEC functions could be replaced by the compact and much better AC-supercaps of the present invention. For compact, low-profile and other space-demanding applications, the low capacitance density and hence bulky size of AECs is the acute pain point, while AC-supercap can perfectly solve the problem. For space undemanding but power or temperature demanding heavy-duty operations, the relative large thermal generation due to large ESR and high failure rate with limited lifetime of AECs are often complained by customers, but lack of alternative technologies to fulfill their needs. Surge, peak or pulse current caused polarity reverse also shortens the AEC lifetime. AC-supercaps with its low ESR, low loss and potentially high-temperature rating, can also solve these pains of AECs. This is significant in that, with billions of pieces sold per year, AECs are ubiquitous in consumer, medical, and defense devices, telecomm, industry, renewable energy and power transmission infrastructures, and many other legacy electric systems for filtering, bypass, decoupling, and burst power functions. This represents a multi-billion sub-segment of the global capacitor industry. Furthermore, compact size or slim/flexible format and efficiency of AC-supercaps will also find applications for wearable or implantable devices, used for spike filtering, pulse energy storage, and pulse generation.
[0166] Such replacement of AC-supercaps for AECs includes but not limited to: [0167] Miniature Design (e.g., thinner flat panel) [0168] Smoother Filtering (e.g., solid-state lighting) [0169] Higher Efficiency (less power consumption) [0170] Longer lifetime
[0171] As verify to the potential capabilities (for EOG electrodes and CNN electrodes), the CBC-10 based organic AC-supercaps were used for pulse energy storage and ripple current filtering.
[0172] For environmental pulse energy harvest testing, a piezoelectric element (CEB-44D06 from CUI Inc., Tualatin, Oreg.) was used to generate a pulsed voltage signal from external mechanical noises. The vibration of a motor or hand finger tapping was used to simulate the environmental pulse energy. The testing circuit is shown in
[0173] The generated pulse from the piezoelectric element was passed through the bridge rectifier and fed across the AC-supercap. A suitable Zener diode might also be used to clamp the voltage if it is over the 3V rating of the AC-supercap. A 3 MΩ resistor was used to simulate a micro-power sensor load.
[0174] For demonstration purpose, a green light-emitting diode (LED) was also used as a high-power pulse load. In
[0175] 60 Hz line-frequency low-voltage AC/DC converter was also demonstrated using the circuit shown in
[0176] Several embodiments of the invention have been shown and described in details. Some other embodiments are:
[0177] For the EOG electrode material, one embodiment described for cellulose paper 101 is Kimwipes® wiper sheets. Other cellulose paper or sheet can be similarly used.
[0178] For the EOG electrode material, one embodiment described that EOG is deposited on the carbonized cellulose sheet using microwave plasma CVD. Other plasma deposition method can also be used.
[0179] For the AC-supercaps assembled using EOG electrode material, one embodiment described KOH based aqueous electrolyte is used. Many other aqueous electrolytes and many other organic electrolytes can also be used.
[0180] For the AC-supercaps, one embodiment described 1 M tetraethylammonium tetrafluoroborate (TEABF4) in anhydrous acetonitrile (AN) solution is used as organic electrolyte. Many other salts in many other anhydrous organic solvents with different concentrations can also be used as the organic electrolyte.
[0181] For the carbon nanofiber network (or nanoweb) (CNN) electrode, one embodiment described bacterial nanofiber cellulose aerogel is used for plasm pyrolysis to obtain the CNN electrode material. Other cellulose nanofiber networks or aerogels, such as those cellulose nanofibers extracted from plants or other biomass can also be used for plasma pyrolysis. Furthermore, in addition to cellulose polymer nanofiber, other synthesized polymer nanofibers such as polyacrylonitrile (PAN), polyimide (PI), and phenolic resin nanofibers can also be used for plasma pyrolysis to obtain carbon nanofiber network as electrode. The polymer nanofibers can be derived from their solution by different methods, such as through electrospun.
[0182] For AC-supercap cell assembling, one embodiment was described that two symmetric electrodes, separated by a separator that is soaked with aqueous or organic electrolyte, are assembled into a coin cell package. As known in the area of AECs, conventional supercapacitors and batteries, electrodes can also be wound up to pack into cylindrical format. They can be stacked up to pack into prism format, or many other package shapes.
[0183] While embodiments of the invention have been shown and described, modifications thereof can be made by one skilled in the art without departing from the spirit and teachings of the invention. The embodiments described and the examples provided herein are exemplary only, and are not intended to be limiting. Many variations and modifications of the invention disclosed herein are possible and are within the scope of the invention. Accordingly, other embodiments are within the scope of the following claims. The scope of protection is not limited by the description set out above.
[0184] The disclosures of all patents, patent applications, and publications cited herein are hereby incorporated herein by reference in their entirety, to the extent that they provide exemplary, procedural, or other details supplementary to those set forth herein.
[0185] Concentrations, amounts, and other numerical data may be presented herein in a range format. It is to be understood that such range format is used merely for convenience and brevity and should be interpreted flexibly to include not only the numerical values explicitly recited as the limits of the range, but also to include all the individual numerical values or sub-ranges encompassed within that range as if each numerical value and sub-range is explicitly recited. For example, a numerical range of approximately 1 to approximately 4.5 should be interpreted to include not only the explicitly recited limits of 1 to approximately 4.5, but also to include individual numerals such as 2, 3, 4, and sub-ranges such as 1 to 3, 2 to 4, etc. The same principle applies to ranges reciting only one numerical value, such as “less than approximately 4.5,” which should be interpreted to include all of the above-recited values and ranges. Further, such an interpretation should apply regardless of the breadth of the range or the characteristic being described.
[0186] Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood to one of ordinary skill in the art to which the presently disclosed subject matter belongs. Although any methods, devices, and materials similar or equivalent to those described herein can be used in the practice or testing of the presently disclosed subject matter, representative methods, devices, and materials are now described.
[0187] Following long-standing patent law convention, the terms “a” and “an” mean “one or more” when used in this application, including the claims.
[0188] Unless otherwise indicated, all numbers expressing quantities of ingredients, reaction conditions, and so forth used in the specification and claims are to be understood as being modified in all instances by the term “about.” Accordingly, unless indicated to the contrary, the numerical parameters set forth in this specification and attached claims are approximations that can vary depending upon the desired properties sought to be obtained by the presently disclosed subject matter.
[0189] As used herein, the term “about,” when referring to a value or to an amount of mass, weight, time, volume, concentration or percentage is meant to encompass variations of in some embodiments ±20%, in some embodiments ±10%, in some embodiments ±5%, in some embodiments ±1%, in some embodiments ±0.5%, and in some embodiments ±0.1% from the specified amount, as such variations are appropriate to perform the disclosed method.
[0190] As used herein, the term “and/or” when used in the context of a listing of entities, refers to the entities being present singly or in combination. Thus, for example, the phrase “A, B, C, and/or D” includes A, B, C, and D individually, but also includes any and all combinations and subcombinations of A, B, C, and D.