CERAMIC MEMBRANES
20220289634 · 2022-09-15
Assignee
- Saudi Arabian Oil Company (Dhahran, SA)
- Ecole Nationale Supérieure de Chimie de Montpelli (Montpellier Cedex, FR)
Inventors
- Subhi Mohammed Hassan Al-Jeshi (Qatif, SA)
- Aziz Cherifi (Geney, FR)
- David Cornu (Les Matelles, FR)
- Sophie Cerneaux (Lattes, FR)
Cpc classification
B01D67/0067
PERFORMING OPERATIONS; TRANSPORTING
B01D69/02
PERFORMING OPERATIONS; TRANSPORTING
B01D2323/12
PERFORMING OPERATIONS; TRANSPORTING
C04B38/0003
CHEMISTRY; METALLURGY
C04B35/571
CHEMISTRY; METALLURGY
B01D69/12
PERFORMING OPERATIONS; TRANSPORTING
B01D2325/028
PERFORMING OPERATIONS; TRANSPORTING
C04B38/0003
CHEMISTRY; METALLURGY
B01D63/066
PERFORMING OPERATIONS; TRANSPORTING
C04B35/62218
CHEMISTRY; METALLURGY
C04B35/48
CHEMISTRY; METALLURGY
International classification
C04B35/622
CHEMISTRY; METALLURGY
B01D67/00
PERFORMING OPERATIONS; TRANSPORTING
B01D69/02
PERFORMING OPERATIONS; TRANSPORTING
B01D69/10
PERFORMING OPERATIONS; TRANSPORTING
B01D69/12
PERFORMING OPERATIONS; TRANSPORTING
C04B35/48
CHEMISTRY; METALLURGY
C04B35/571
CHEMISTRY; METALLURGY
Abstract
A filter including a porous support defining one or more channels therethrough, and a porous ceramic membrane layer on a surface of the porous support defining at least one of the one or more channels. The ceramic membrane layer includes an inorganic ceramic composition having the formula SiM.sup.p.sub.xpC.sub.yN.sub.zO.sub.mH.sub.n, where each M.sup.p present is independently selected from a p-block element or a d-block element; p is an integer from 1 to 5; for each M.sup.p present, xp is independently from about 0 to about 60; y is from about 0 to about 60; z is from about 0 to about 60; m is from about 0 to about 40; and n is zero or nonzero. At least one of y and z is nonzero when p is zero, and p is nonzero when y and z are both zero.
Claims
1.-19. (canceled)
20. A method of making a filter, the method comprising: pumping a liquid preceramic polymer through an interior of a porous support; circulating the liquid preceramic polymer through the porous support until the liquid preceramic polymer permeates a channel in the porous support, forming a permeated porous support; and pyrolyzing the permeated porous support to yield a porous ceramic membrane layer on a surface of the channel of the porous support.
21. The method of claim 20, wherein the liquid preceramic polymer comprises mixing a preceramic polymer with an organic solvent, and where the preceramic polymer comprises: ##STR00002##
22. The method of claim 20, wherein the porous ceramic membrane layer comprises a ceramic composition having a formula comprising SiC.sub.4.48N.sub.3.27O.sub.9.41.
23. The method of claim 20, wherein the porous ceramic membrane layer comprises a ceramic composition having a formula comprising SiC.sub.9.34Ni.sub.5.79O.sub.11.48.
24. The method of claim 20, wherein the liquid preceramic polymer is formed by combining an organic solvent with a preceramic polymer.
25. The method of claim 24, wherein the preceramic polymer comprises polycarbosilane, polysilazane, or a combination thereof.
26. The method of claim 20, wherein pyrolyzing the permeated porous support comprises: heating the permeated porous support in the liquid state to a first temperature to solidify the liquid preceramic polymer, forming a solid preceramic polymer in the channel of the support; and heating the solid preceramic polymer to a second temperature to yield the porous ceramic membrane layer on the surface of the channel of the porous support, wherein the second temperature is greater than the first temperature.
27. The method of claim 20, wherein pyrolyzing the permeated porous support comprises heating the permeated porous support to at least 600° C.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0024]
[0025]
[0026]
[0027]
[0028]
[0029]
[0030]
[0031]
[0032]
DETAILED DESCRIPTION
[0033] Referring to
[0034] Support 102 may have a length from about 200 mm to about 2000 mm, and a diameter from about 5 mm to about 75 mm. Support 102 is typically tubular, with one or more channels 104 along a length of the support. In some embodiments, support 102 includes from 1 to 100 channels, 5 to 65 channels, or 15 to 40 channels. In certain embodiments, support 102 includes 1, 7, 19, 31, 37, or 61 channels. A cross section of channel 104 perpendicular to the length of support 102 may have a geometrical shape, such as circular, triangular, square, rectangular, pentagonal, hexagonal, or octagonal. Each channel 104 may have a diameter or maximum dimension between 1 mm and 20 mm. For support 102 having more than one channel 104, a diameter or maximum dimension of a first channel 104 in support 102 may be the same as or different than that of a second channel 104 in support 102. In some embodiments, a diameter or maximum dimension of each channel 104 in support 102 having more than one channel is substantially the same. Examples of suitable supports 102 include SCHUMASIV membrane filter elements available from Pall Corporation (Germany).
[0035] Each channel 104 of support 102 is coated with ceramic membrane 106. Support 102 may be selected such that the support has similar thermal characteristics to the thermal characteristics of ceramic membrane 106. In some embodiments, a total surface area of ceramic membrane 106 is from 0.01 mm.sup.2 to 1 mm.sup.2 or from 0.02 m.sup.2 to 0.8 m.sup.2. A thickness of ceramic membrane 106 is typically from 10 nm to 800 μm. In some embodiments, ceramic membrane 106 includes a single layer 106′. In certain embodiments, the ceramic membrane 106 includes an outer layer 106′ and an inner layer 106″, where the composition of the outer layer 106′ is the same as or different than the composition of the inner layer 106″. In other embodiments, the ceramic membrane 106 includes more than two layers, with at least two of the layers having a different composition.
[0036] At least one layer of the ceramic membrane 106 is formed of an inorganic composition with the chemical formula SiM.sup.p.sub.xpC.sub.yN.sub.zO.sub.mH.sub.n, in which: [0037] each M.sup.p present is independently selected from a p-block element or a d-block element; p is an integer from 0 to 5; [0038] for each M.sup.p present, xp is independently from about 0 to about 60; [0039] y is from about 0 to about 60; [0040] z is from about 0 to about 60; [0041] m is from about 0 to about 40; and [0042] n is zero or nonzero, [0043] where at least one of y and z is nonzero when p is zero, and p is nonzero when y and z are both zero. In one example, p is at least 1.
[0044]
[0045] For each M.sup.p present in SiM.sup.p.sub.xpC.sub.yN.sub.zO.sub.mH.sub.n, examples of suitable p-block elements include boron, aluminum, tin, gallium, and phosphorus, and examples of suitable d-block elements include titanium, zirconium, hafnium, lanthanum, molybdenum, tungsten, cobalt, copper, and zinc. In some embodiments, p is 0, and the composition has the chemical formula SiC.sub.yN.sub.zO.sub.mH.sub.n. In some embodiments, p is 1, and the composition has the chemical formula SiM.sup.1.sub.x1C.sub.yN.sub.zO.sub.mH.sub.n. In some embodiments, p is 1, M.sup.1 is Al, and the composition has the chemical formula SiAl.sub.x1C.sub.yN.sub.zO.sub.mH.sub.n. In some embodiments, p is 1, M.sup.1 is Al, x1 is 1, and the composition has the chemical formula SiAlC.sub.yN.sub.zO.sub.mH.sub.n. In some embodiments, p is 2, and the composition has the chemical formula SiM.sup.1.sub.x1M.sup.2.sub.x2C.sub.yN.sub.zO.sub.mH.sub.n.
[0046] Oxygen and hydrogen may be present in SiM.sup.p.sub.xpC.sub.yN.sub.zO.sub.mH.sub.n. However, oxygen preferably absent. Any oxygen present in the composition is inadvertently introduced, for example, during the manufacturing process or surface passivation. The amount of oxygen present, if any, is minimized to avoid reduced durability or decreased performance of the ceramic membrane during use.
[0047] In some embodiments, the ceramic composition includes less than 1 wt % oxygen.
[0048] In some embodiments, the ceramic composition includes silicon in an amount of about 1 wt % to about 75 wt %.
[0049] In some embodiments, the ceramic composition includes M.sup.p in a total amount of about 0 wt % to about 60 wt %.
[0050] In some embodiments, the ceramic composition includes carbon in an amount of about 0 wt % to about 40 wt %.
[0051] In some embodiments, the ceramic composition includes nitrogen in an amount of about 0 wt % to about 50 wt %.
[0052] In some embodiments, the ceramic composition includes oxygen in an amount of about 0 wt % to about 30 wt %.
[0053] In some embodiments, the combined amount of carbon and nitrogen in the ceramic composition is at least 30 wt %.
[0054] Layer 106′ of ceramic membrane 106, formed of a ceramic composition having the formula SiM.sup.p.sub.xpC.sub.yN.sub.zO.sub.mH.sub.n typically has an average pore size between 0.001 μm and 3 μm. In some embodiments, layer 106′, formed of a ceramic composition having the formula SiM.sup.p.sub.xpC.sub.yN.sub.zO.sub.mH.sub.n, has a pore size between 0.001 μm and 8 μm or between 0.005 μm and 0.2 μm. In some embodiments, layer 106″ has an average pore size between 0.001 μm and 2 μm. In one example, layer 106″, formed of Al.sub.2O.sub.3 (such as α-Al.sub.2O.sub.3), has an average pore size between 0.2 μm and 2 μm. In other embodiments, layer 106″, formed of ZrO.sub.2, or TiO.sub.2, has a pore size between 0.005 μm and 0.1 μm. As used herein, “average pore size” generally refers to the average pore size determined by mercury intrusion porosimetry in the cylindrical pore model hypothesis.
[0055] A porosity of support 102 is typically from about 30% to about 40%, about 32% to about 34%, or about 33%. A porosity of filter 100 is typically from about 10% to about 40%, about 15% to about 30%, or about 20% to about 25%. As used herein, “porosity” generally refers to the fraction of open porosity determined by mercury intrusion porosimetry.
[0056]
[0057]
[0058] Referring to
[0059] In 502, a support is contacted with a preceramic polymer in a liquid state to yield a liquid preceramic polymer coating on the support. As used herein, “preceramic polymer” generally refers to polycarbosilane, polysilazane, and their derivatives. In some embodiments, a suitable solvent may be combined with a preceramic polymer to reduce the viscosity of the preceramic polymer. Suitable polysilazanes include CERASET Polysilazane 20 and HTT 1800, both available from KiON Defense Technologies. CERASET Polysilazane 20, shown below,
##STR00001##
is a liquid polymer that can be converted to a solid pre-ceramic upon heating to 90° C.-190° C. and then pyrolyzed to silicon carbide or silicon nitride containing ceramics by heating above 600° C. HTT 1800 is a low viscosity liquid polysilazane-based coating resin that solidifies upon heating to 200° C.-250° C. and can be converted to ceramic by heating to at least 400° C. Suitable polysilazanes also include Durazane products, available from EMD Performance Materials.
[0060] Contacting the support with a preceramic polymer in a liquid state typically includes coating the channel(s) of the support with the preceramic polymer. The preceramic polymer is typically in the form of a homogeneous composition. Coating the channel(s) of the support may be achieved by casting the preceramic polymer in the liquid state onto the surface of each channel in the support, such that a layer of liquid polymer is adsorbed onto surfaces of the support. The channel(s) may be coated with a substantially uniform, continuous layer of the preceramic polymer.
[0061] In 504, the liquid preceramic polymer coating on the support is solidified to yield a solid preceramic polymer coating on the support. Solidifying the liquid preceramic polymer coating on the support may be achieved via heating the support coated with the liquid preceramic polymer. In some embodiments, solidifying the liquid ceramic polymer coating on the support is achieved by heating the support to a temperature between 120° C. and 250° C. for a length of time between 60 min and 300 min.
[0062] In 506, the solid preceramic polymer coating is pyrolyzed on the support to yield a ceramic membrane (or a layer of a ceramic membrane) on the support. Pyrolyzing the solid preceramic polymer coating on the support may be achieved via heating the support coated with the solid preceramic polymer or irradiating the support coated with the solid preceramic polymer with electromagnetic radiation, such as ultraviolet radiation. In some embodiments, solidifying the liquid ceramic polymer coating on the support is achieved by heating the support to a temperature between 600° C. and 1600° C. or between 650° C. and 1200° C. for a length of time between 1 hour and 6 hours.
[0063] Heating the support in 504 or 506 may be achieved by heating the support in an atmosphere (for example, in an oven) that is substantially free of oxygen. As used herein, “substantially free of oxygen” generally refers to less than 0.1 vol % oxygen, less than 0.01 vol % oxygen, or less than 0.001 vol % oxygen. In some embodiments, the atmosphere includes nitrogen-containing gases, from which nitrogen is incorporated into the resulting membrane composition. Suitable gases that are substantially free of oxygen include inert gases, such as helium, neon, and argon, and nitrogen-containing gases, such as nitrogen and ammonia. In some embodiments, the atmosphere includes a mixture of nitrogen and ammonia in a range of 50/50 to 90/10 volume ratio of nitrogen to ammonia. Ammonia provides a reducing environment, resulting in a lower oxygen content of the ceramic membrane.
[0064] Heating the support in 504 or 506 in an oven may include increasing a temperature of the atmosphere in the oven until a desired temperature is reached. In some embodiments, the temperature may be increased from an initial temperature a rate of about 1° C. per minute until a solidification temperature is reached. The oven may be maintained at the solidification temperature for a length of time. In one example, the temperature is increased from room temperature at a rate of about 1° C. per minute until a temperature of 180° C. is reached, and the oven is maintained at 180° C. for 2 hours. In some embodiments, the temperature may be increased from the solidification temperature to a pyrolysis temperature is reached. The oven may be maintained at the pyrolysis temperature for a length of time. In one example, the temperature is increased from the solidification temperature at a rate of about 2° C. per minute until a temperature of at least 650° C. is reached, and the oven is maintained at a temperature of at least 650° C. for at least 2 hours.
[0065] In 508, the support is cooled. Cooling the support may include cooling the support in an inert atmosphere that is substantially free of oxygen, such as the atmosphere in which the pyrolysis occurs. The support is typically cooled at a rate between 1° C. per minute to 50° C. per minute. In one example, the support is cooled at a rate between 1° C. and 2.5° C. per minute.
[0066] In some embodiments, one or more operations in process 500 may be combined. In one example, a liquid preceramic polymer coating on the support may be heated in one operation, rather than heating the support to a first temperature for a first duration in 504 and a second temperature for a second duration in 506. In some embodiments, one or more operations in process 500 may be omitted, or additional operations may be added. In some embodiments, the order of one or more operations in process 500 may be altered.
[0067] The chemical composition and membrane properties of the resulting ceramic membrane (or layer) having formula SiM.sup.p.sub.xpC.sub.yN.sub.zO.sub.mH.sub.n, may be selected by selecting one or more parameters in process 500, including the chemical composition of the preceramic polymer, the chemical composition of the atmosphere in which the membrane is formed, the solidification temperature and associated heating rate, the pyrolysis temperature and the associated heating rate, or any combination thereof. In some embodiments, a ratio of carbon to nitrogen in the ceramic membrane is selected by selecting appropriate manufacturing parameters. A content of oxygen, hydrogen, or both in the ceramic membrane may be due at least in part to contamination during the manufacturing process or surface passivation after manufacturing. At low temperatures, the p-block and/or d-block elements M function as reticulation agents, linking “—Si—C—” or “—Si—N—” chains, and modifying the chemical properties of the ceramic membrane. At high temperatures, the p-block and/or d-block elements M alter the chemical and microstructural behavior of the ceramic membrane by limiting the crystallization of SiC and Si.sub.3N.sub.4, and by promoting formation carbide and nitride nanocrystals distributed in the amorphous silicon nitride/carbide phase.
[0068] A porosity of the ceramic membrane can be adjusted by altering one or more parameters in process 500. In one example, a porosity of the ceramic membrane can be decreased by performing operations 502 through 506 more than once during the manufacturing process. A target pore size may be achieved based at least in part on the preceramic polymer, the support, and the number of time operations 502 through 506 are repeated. In some embodiments, a porosity of a ceramic membrane formed via process 500 is between 21% and 25%.
[0069]
[0070] A filter having a ceramic membrane as described herein can be used to treat boiler blowdown water. The treated boiler blowdown water (the permeate) may be recycled back to the boiler without active cooling. That is, although the permeate may spontaneously lose heat to the environment before reintroduction to the boiler, the permeate does not undergo a process intentionally designed to reduce the temperature of the permeate before reintroduction to the boiler. Thus, the boiler blowdown water is conserved, and less energy is required to heat boiler blowdown water returned to the boiler than is required to heat boiler feed water at a lower temperature.
[0071] Referring to
EXAMPLES
Example 1
[0072] A support purchased from PALL Corporation (SCHUMASIV, MF1200Z) made of ultrapure alumina and composed of 19 channels was casted for one minute by a liquid polysilazane polymer (CERASET PSZ 20). The coated support was dried under air for 2 hours at room temperature then placed in a furnace. The heat treatment was conducted under pure nitrogen. A heating rate of 1° C./min was applied up to 180° C. then a dwell was maintained for two hours. The temperature was raised to 800° C. (at 2° C./min) and kept for 4 hours before cooling down to room temperature at 5° C./min.
[0073] The resulting ceramic membrane was characterized by scanning electron microscopy (SEM), energy-dispersive X-ray spectroscopy (EDX), and mercury (Hg) porosity. The SEM image revealed a relatively homogeneous surface of the ceramic membrane at a magnification of 150×. The EDX analysis was performed on a JEOL JCM-6000 using the Zendesk App Framework (ZAF) method standardless quantitative analysis. Table 1 lists the Zendesk App Framework (ZAF) method standardless quantitative analysis with a fitting coefficient of 0.0301. Based on this data, taking into account the Al.sub.2O.sub.3 composition of the support, the composition of the ceramic membrane was found to be SiC.sub.4.48N.sub.3.27O.sub.9.41. Note, however, that the presence of hydrogen is not detected via EDX. Based on results of the Hg porosity analysis, the support was found to have a bimodal distribution of pore sizes, with maxima at 6000 nm and 700 nm, and the ceramic membrane was found to have a monomodal distribution with a maximum at 160 nm.
TABLE-US-00001 TABLE 1 ZAF Method Standardless Quantitative Analysis Element keV Mass % Sigma Atom % K C K 0.277 11.96 0.16 16.86 2.3475 N K 0.392 10.16 0.27 12.28 10.8103 O K 0.525 51.42 0.36 54.41 47.7539 Al K 1.486 20.22 0.12 12.69 30.6015 Si K 1.739 6.25 0.08 3.76 8.4868 Total 100.00 100.00
Example 2
[0074] A support purchased from PALL Corporation (Schumasiv, MF1200Z) made of ultrapure alumina and composed of 19 channels was casted for one minute by a liquid polysilazane polymer (CERASET PSZ 20). The coated support was dried under air during 2 hours at room temperature then placed in a furnace. The heat treatment was conducted under pure nitrogen. A heating rate of 1° C./min was applied up to 180° C. then a two-hour dwell was maintained. The temperature was raised to 800° C. (at 2° C./min) and kept for 4 hours before cooling down to room temperature at 5° C./min. The resulting membrane material was characterized by SEM and EDX.
[0075] The obtained membrane was casted for a second time for one minute by the liquid polysilazane polymer (CERASET PSZ 20). The same heat treatment program was applied to the membrane to yield a double coated ceramic membrane. The resulting ceramic membrane was characterized by SEM, EDX, Hg porosity, and Brunauer-Emmett-Teller (BET) analysis. The SEM image revealed a relatively homogeneous surface of the ceramic membrane at a magnification of 2700×. The EDX analysis was performed on a JEOL JCM-6000 using the Zendesk App Framework (ZAF) method standardless quantitative analysis. Table 2 lists the Zendesk App Framework (ZAF) method standardless quantitative analysis with a fitting coefficient of 0.0408. Based on this data, taking into account the Al.sub.2O.sub.3 composition of the support, the composition of the ceramic membrane was found to be SiC.sub.9.34Ni.sub.5.79O.sub.11.48. Note, however, that the presence of hydrogen is not detected via EDX. Based on results of the Hg porosity analysis, the support was found to have a bimodal distribution of pore sizes, with maxima at 6000 nm and 700 nm, and the ceramic membrane was found to have a monomodal distribution with a maximum at 90 nm.
TABLE-US-00002 TABLE 2 ZAF Method Standardless Quantitative Analysis Element keV Mass % Sigma Atom % K C 0.277 19.53 0.08 23.92 11.0065 N 0.392 38.49 0.28 40.43 55.1109 O 0.525 34.37 0.28 31.61 17.2970 Al 1.486 2.72 0.03 1.48 5.1760 Si 1.739 4.89 0.04 2.56 11.4096 Total 100.00 100.00
[0076]
[0077] Table 3 lists permeate water quality, Table 4 lists feed water quality, and Table 5 lists permeate conductivity with time for water treated with the filter of Example 2.
TABLE-US-00003 TABLE 3 Permeate Water Quality Ions Concentration (ppm) Calcium (Ca.sup.2+) 1 Magnesium (Mg.sup.2+) <DL Chloride (Cl.sup.−) 1 Sodium (Na.sup.+) 30 Potassium (K.sup.+) <DL Sulfate (SO.sub.4.sup.2−) 0.7 Phosphate <DL
TABLE-US-00004 TABLE 4 Feed Water Quality Ions Concentration (ppm) Calcium (Ca.sup.2+) 1.9 Magnesium (Mg.sup.2+) 1 Chloride (Cl.sup.−) 28 Sodium (Na.sup.+) 122 Potassium (K.sup.+) 2 Sulfate (SO.sub.4.sup.2−) 7 Phosphate 35.5
TABLE-US-00005 TABLE 5 Permeate Conductivity with Time Day Conductivity (μS/cm) pH 1 250 10.0 2 250 10.5 3 260 10.5 5 255 9.5 8 248 9.5 9 251 9.5 10 216 9.5 11 219 9.4 12 171 9.6
[0078] Tables 6 and 7 provide water flux of membranes formed as described in Examples 1 and 2, respectively. Table 6 lists water flux of a 19-channel membrane at pressures from 3 bar to 9 bar, with flux ranging from 439 L/h/m.sup.2 to 1423 L/H/m.sup.2, respectively. Table 7 lists water flux of a double-coated 19-channel membrane at pressures from 3 bar to 9 bar, with flux ranging from 119 L/h/m.sup.2 to 389 L/H/m.sup.2, respectively.
TABLE-US-00006 TABLE 6 Water flux of 19-channel membranes at various pressures Pressure Volume Time Time Flow Area Flux (bar) (L) (s) average (s) (L/h) (m.sup.2) (L/h/m.sup.2) 3 0.2 47 47 15.3 0.0349 438.9 47 47 5 0.2 24 24 29.3 0.0349 842 22.3 26 7 0.2 18.5 18.5 38.9 0.0349 1115.1 18 18.5 9 0.2 14.5 14.5 49.6 0.0349 1422.7 14.5 14.5
TABLE-US-00007 TABLE 7 Water flux of 19-channel double coated membranes at different pressures Pressure Volume Time Time Flow Area Flux (bar) (L) (s) average (s) (L/h) (m.sup.2) (L/h/m.sup.2) 3 0.1 86.7 86.6 4.2 0.0349 119 86.6 86.7 5 0.1 47.7 47.5 7.6 0.0349 217.2 47.5 47.3 7 0.1 36.8 36.6 9.8 0.0349 281.8 36.5 36.4 9 0.1 26.5 26.5 13.6 0.0349 389.2 26.6 26.4
Other Information
[0079] Values expressed in a range format should be interpreted in a flexible manner 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 range of “about 0.1% to about 5%” or “about 0.1% to 5%” should be interpreted to include not just about 0.1% to about 5%, but also the individual values (e.g., 1%, 2%, 3%, and 4%) and the sub-ranges (e.g., 0.1% to 0.5%, 1.1% to 2.2%, 3.3% to 4.4%) within the indicated range. The statement “about X to Y” has the same meaning as “about X to about Y,” unless indicated otherwise. Likewise, the statement “about X, Y, or about Z” has the same meaning as “about X, about Y, or about Z,” unless indicated otherwise.
[0080] In this document, the terms “a,” “an,” or “the” are used to include one or more than one unless the context clearly dictates otherwise. The term “or” is used to refer to a nonexclusive “or” unless otherwise indicated. The statement “at least one of A and B” has the same meaning as “A, B, or A and B.” In addition, it is to be understood that the phraseology or terminology employed herein, and not otherwise defined, is for the purpose of description only and not of limitation. Any use of section headings is intended to aid reading of the document and is not to be interpreted as limiting; information that is relevant to a section heading may occur within or outside of that particular section.
[0081] The term “about” as used herein can allow for a degree of variability in a value or range, for example, within 10%, within 5%, or within 1% of a stated value or of a stated limit of a range.
[0082] The term “substantially” as used herein refers to a majority of, or mostly, as in at least about 50%, 60%, 70%, 80%, 90%, 95%, 96%, 97%, 98%, 99%, 99.5%, 99.9%, 990.99%, or at least about 99.999% or more.
OTHER EMBODIMENTS
[0083] It is to be understood that while the invention has been described in conjunction with the detailed description thereof, the foregoing description is intended to illustrate and not limit the scope of the invention, which is defined by the scope of the appended claims. Other aspects, advantages, and modifications are within the scope of the following claims.