Patent ID: 12230486

DETAILED DESCRIPTION OF THE INVENTION

Following is a list of elements corresponding to a particular element referred to herein:100ion pumping system110ion transport structure112ion-permeable layer114first surface of the ion-permeable layer115channels116second surface of the ion-permeable layer122first contact124second contact130first ion-selective membrane135second ion-selective membrane140,145power source

As used herein, the term “contact” refers to an electrically conductive material. In some, embodiments, the electrically conductive contact may be in the form of a contact layer or a wire in solution. There may be a plurality of contacts coupled to the ion transport structure, but there should be at least one positive contact and one negative contact.

As used herein, the term “asymmetric electric potential distribution” refers to a spatial variation in electric potential in which these potential variations in the two halves of the structure between the contacts are not mirror images of each other.

Referring now toFIG.1A, in some embodiments, the present invention features an ion transport structure (110) comprising an ion-permeable layer (112) coupled to at least two contacts (122). Without wishing to limit the present invention to a particular theory or mechanism, the ion transport structure (110) is configured to transport ions across the ion-permeable layer (112) when a spatially asymmetric electric potential distribution is temporally modulated to change electric fields within the ion transport structure, resulting in ratchet-driven ion pumping.

As a non-limiting example, the ion transport structure (110) can transport ions across the ion-permeable layer (112) when a stimulus or perturbation, such as an electrical bias, light, a temperature gradient, or a pH gradient, is applied to the structure. Moreover, the ion transport structure (110) can pump salt with minimized resistance and without electrochemical reactions or mechanical forces, such as pressure or stress.

Referring toFIG.1C, in other embodiments, the present invention features an ion transport structure (110) comprising a plurality of ion-permeable layers (112) and a plurality of contact layers (122) forming a stack in which the ion-permeable layers (112) alternate with the plurality of contacts (122). The ion transport structure (110) is configured to transport ions through the stack when a spatially asymmetric electric potential distribution is temporally modulated to change electric fields within the ion transport structure, resulting in ratchet-driven ion pumping, preferably with minimized resistance and without electrochemical reactions or mechanical forces, such as pressure or stress.

In some embodiments, the ion-permeable layer may comprise a dielectric material, a semiconductor, a polymer, or an ion-selective material. One non-limiting example of the dielectric material is alumina. A non-limiting example of the semiconductor is a silicon p-i-n junction. For the stacked ion transport structure (110), the plurality of ion-permeable layers may comprise a dielectric material, a semiconductor, a polymer, an ion-selective material, or combinations thereof such that the layers are not necessarily the same material. In some embodiments, the ion-permeable layers (112) can have the same thickness or vary in thickness.

In some embodiments, the electrically conductive contacts may comprise an electrically conductive material. The electrically conductive material may include, but is not limited to, a metal, conductive polymer, highly doped semiconductor, among others.

In some embodiments, at least one contact is connected to the ion transport structure (110). In other embodiments, two or more contacts are connected to the ion transport structure (110).

In one embodiment, a plurality of channels (may be disposed through the ion transport structure (110). For example, the channels (115) can be disposed through the stack of alternating layers. In conjunction with the various embodiments, the channels (115) can span from one surface to an opposing surface. In one embodiment, the channels (115) may be straight channels or pores. However, the channels do not necessarily have to be straight. In another embodiment, the channels may instead be a network of channels interconnected together to form a “sponge like” geometry.

In some embodiments, the channels (115) can have a diameter ranging from about 5 nm to about 500 nm. In other embodiments, the ion-permeable layer (112) can have a porosity ranging from about 10% to about 50%, e.g. fraction of the void (i.e. “empty”) space or volume relative to the total volume of a material.

Referring toFIGS.1D-1F, in some embodiments, the present invention features an ion pumping system (100) comprising the ion transport structure (110) having a first ion-selective membrane (130) disposed thereon and a second ion-selective membrane (135). In further embodiments, a power source (140) may be operatively coupled to the first contact layer (122) and second contact layer (124). In a non-limiting embodiment, as shown inFIG.1D, the power source (140) can be connected to contact layers on both sides of the ion-permeable layer. In an alternative non-limiting embodiment, as shown inFIG.1E, the power source (140) can be connected to the contact layer on one side only, e.g. one lead is connected to the one of the contact layers and the other lead is disposed in solution.

In one embodiment, the ion transport structure (110) may be according to the embodiment inFIG.1D, which includes an ion-permeable layer (112) having a first surface (114) and an opposing second surface (116), a first contact layer (122) disposed on the first surface (114), a second contact layer (124) disposed on the second surface (116), and the first ion-selective membrane (130) disposed on the first contact layer (122). Alternatively, the first ion-selective membrane (130) is disposed on the outer contact layer of the stack ofFIG.1C.

In some embodiments, the power source (140) its configured to apply an alternating electrical bias between the first contact layer (122) and the second contact layer (124), which causes ions to be transported across the ion transport structure (110), which results in ratchet-driven ion pumping, whose voltage can be used to drive ions of opposite charge through the second ion-selective membrane (135). Without wishing to limit the present invention, the ion pumping occurs with minimized resistance and without electrochemical reactions. In other embodiments, the system (100) may further comprise a second power source (145) operatively coupled to contact layers that are not coupled to the first power source (140). The second power source (145) can apply an alternating electrical bias to said contacts.

In some embodiments, the first ion-selective membrane (130) and the second ion-selective membrane (135) are each selective for ions having a specific charge. For example, the first ion-selective membrane (130) is a cation-exchange membrane and the second ion-selective membrane (135) is an anion-exchange membrane. Alternatively, the first ion-selective membrane (130) is an anion-exchange membrane and the second ion-selective membrane (135) is a cation-exchange membrane. In other embodiments, ion-selective membranes (130) are made by asymmetric surface modification of the ion-permeable layer (112) using coupling chemistries to bond chemical moieties found in ion-exchange membranes directly to the ion-permeable layer (112). For example, the chemical moieties may include, but are not limited to, functionalized carboxylates, phosphonates, borates, amities, imidazoliums, or aromatic groups including alcohols.

In one embodiment, a plurality of channels (115) is disposed through the ion transport structure (110). The plurality of channels (115) may be straight channels or an interconnected network of channels. In some embodiments, the channels (115) can have a diameter ranging from about 5 nm to about 500 nm. In other embodiments, the ion-permeable layer (112) can have a porosity ranging from about 10% to about 50%,

In one embodiment, as shown inFIGS.1C-1D, the second ion-selective membrane (135) may be attached to the ion transport structure (110) such that the second ion-selective membrane (135) and ion transport structure (110) are side by side. In another embodiment, the second ion-selective membrane (135) may be separate from the ion transport structure (110).

In yet another embodiment, as shown inFIG.11A, the first contact layer may comprise two sets of interlaced contact fingers (122and124), each set connected to different channels with no direct electrical contact between the two sets. A first set of strips comprising the first ion-selective membrane (130) may be disposed on one set of contact fingers and a second set of strips, comprising the second ion-selective membrane (135) may be dispose on the other set of contact fingers such that the strips of the first ion-selective membrane (130) alternate with the strips of the second ion-selective membrane (135). In further embodiments, each set of contact fingers has a corresponding set of interlaced contact fingers disposed on the second surface (116) of the porous substrate and connected to the same channels, thereby forming a paired set. Preferably, each paired set is connected to its own separate power source.

In some embodiments, as shown inFIG.1F, the first power source (140) is connected to a paired set of contact fingers, and the second power source is connected to a second paired set of contact fingers indicated by the dotted pattern. In some embodiments, each power source applies a specific alternating electronic polarization. In other embodiments, the two power sources electronically interact to apply a series of two or more alternating electronic polarizations between any combinations of the four interlaced contact fingers.

Various factors can affect the choice of voltage, for example, if the pores are different sizes or depending on the thickness of the ion-permeable layer. In one embodiment, the same voltage source may be used for two sets of contacts with the contacts given opposite polarities. In another embodiment, V1can equal V2if the duty cycle is different or depending on the materials properties.

According to some embodiments, the ion-permeable layer may comprise a dielectric material, a semiconductor or a polymer. One example of the dielectric material is alumina A non-limiting example of the semiconductor is a silicon p-i-n junction. For the stacked ion transport structure (110), the plurality of ion-permeable layers may comprise a dielectric material, a semiconductor, a polymer, or combinations thereof such that the ion-permeable layers are not necessarily the same material.

In other embodiments, the electrically conductive contacts may comprise an electrically conductive material. The electrically conductive material may include, but is not limited to, a metal, conductive polymer, highly doped semiconductor, among others. For example, the metallic material may include, but is not limited to, gold, silver, copper, or metal alloys. As another example, the conductive polymer material may include, but is not limited to, poly(3,4-ethylenedioxythiophene), polyacetylene, or a composite material such as a graphene-polymer mixture. As another example, the highly doped semiconductor material may include, but is not limited to, Si, III-Vs, II-IVs, perovskites, or organic semiconductors such as poly(3-hexylthiophene). In one embodiment, the contacts may both be the same electrically conductive material or may be different electrically conductive materials. Because redox reactions are not intended to be performed at the electrically conductive contacts, after their deposition the electrically conductive contacts, and even the ion-permeable layer, can be coated in a chemically robust and electrically insulating coating to extend the lifetime of the device. As an example, the coating may include, but is not limited to, metal oxides such as alumina, silica, titania, and hafnia, and can be deposited by physical vapor deposition, by atomic layer deposition, electrochemically, among other methods.

According to other embodiments, the present invention may feature a deionization system for moving two types of oppositely charged ions in a solution from a first compartment to a second compartment. The deionization system may comprise any embodiment of the ion pumping system (100) described herein. The ion pumping system is configured to separate the first compartment from the second compartment. In one embodiment, the second ion-selective membrane (135) is attached to the ion transport structure (110) to form a single, continuous barrier that separates the first and second compartment. In another embodiment, the second ion-selective membrane (135) and the ion transport structure (110) are disconnected from each other, and each one forms a barrier that separates the first and second compartment. In yet another embodiment, the ion pumping system (100) comprised of the interlaced contact fingers forms a single barrier that separates the first and second compartment.

When used in a deionization procedure, each compartment contains the solution having an initial concentration of ions. When the power source (140) applies an alternating electrical bias to the contacts resulting in a ratchet mechanism, ions from the first compartment are selectively transported in one direction across the ion-selective membranes and into the second compartment, thereby increasing the ion concentration in the second compartment and reducing the ion concentration in the first compartment. In some embodiments, the desalination system may be used to desalinate or deionize solutions such as salt water, or in chemical separations.

EXAMPLE

The following is a non-limiting example of the present invention. It is to be understood that said example is not intended to limit the present invention in any way. Equivalents or substitutes are within the scope of the present invention.

EPIIR Simulations

The EPIIR theoretical pumping performance was estimated in two stages. First, the potential distribution within the device was calculated using finite elements simulations (COMSOL Multiphysics). Next, the potential distribution obtained in the finite elements simulation was used as an input in an analytic computation to obtain the net ratchet current.23,31The finite element simulation domain consisted of a single pore in an AAO wafer and the electrolyte around it.FIG.2Ashows a schematic illustration of the simulation domain. The solid region is assumed to be made of perfectly insulating alumina and the pore and electrolyte compartments on both sides of the EPIIR are filled with 1 mM KCl aqueous solution where only the salt ions are considered. The pore diameter is 40 nm, the wafer thickness is 50 μm and the thickness of the electrolyte compartments on both sides of the EPIIR is 1.5 μm which is significantly larger than the Debye length for this salt concentration. The point of zero charge is assumed to be at a potential of 0 V for all interfaces. At the edges of the simulation domain, the concentrations of salt ions are assumed to be 1 mM and the potential is set to 0 V thus simulating infinitely large compartments on both sides of the EPIIR.FIG.4Ashows the calculated potential distribution near the EPIIR high voltage contact at several distances from the pore center, r. The applied voltage is 0.4 V. As discussed above, the differences between the Debye length inside the pore and bulk electrolyte results in an asymmetric electric potential distribution, which is essential for the ratchet operation.

In order to insert the two dimensional potential distribution calculated in the finite elements simulation into the analytic, net particle velocity calculation, the potential weighted average was calculated.FIG.4Bshows the weighted average near the high voltage contact. The inset shows a broader view of the potential distribution, and where the potential is at 0 V outside the region presented. The net particle velocity, v, is then computed with the weighted average potential distribution multiplied by the ratchet signal which is a square wave temporal function g(t) alternating between 0 and 1 at frequency f and duty cycle.31Since the potential is very close to zero outside a small region next to the high voltage contact, only a the region −0.5 μm≤z≤0.1 μm was used for the net ion velocity calculation. Once the particle velocity is obtained, the net ionic current density, J, follows: J=qenvρ, where qeis the electron charge, n is the concentration of ions which is taken to be 1 mM, and ρ=0.1 is the EPIIR porosity.

FIG.4Cshows the calculated ionic short-circuit current density for a wide range of input signal frequencies and duty cycles. As discussed above, the voltage switching must be at a period that prevents back flowing ions from leaving the region near the EPIIR high voltage contact. Thus, if the signal period is too long, back flowing ions will not be turned upon voltage switching and the net current will be zero. In a similar manner, at duty cycles near zero or one, the system operates closer to direct current operation and the net current is again near zero. The ionic current increases with frequency until the input signal switching time is significantly shorter than the period required for forward flowing ions to leave the region next to the EPIIR contact.

The EPIIR response at low frequencies is determined by the time required for back flowing ions to reach the next potential minimum (or maximum). On the other hand, the high frequency response is determined by the time required for forward flowing ions to reach a potential minimum (or maximum) point. Both of these time constants are determined by the diffusivity of the ions. Thus, ions with a different diffusivity have a different frequency response and there are specific frequencies in which ions of specific diffusivities will be pumped more efficiently than others.

FIG.5Ashows the short-circuit current density as a function of the diffusivity of the ions at several input signal frequencies. The potential distribution is a saw-tooth distribution as shown inFIG.5Band the input signal is g(t)=0.5(1+sin 2πft. As can be seen inFIG.5A, at every frequency there is a specific diffusivity at which the ratchet current is maximal (in absolute values). Thus, by tuning the input signal frequency, it is possible to choose which ions are pumped most efficiently based on their diffusivity. This selectivity enables pumping of specific ions out of mixtures of ions. In some embodiments, the optimal frequencies can range from about 1 GHz-1 MHz, 1 MHz-1 kHz, 1 kHZ-1 Hz, or 1 Hz-1 mHz. In other embodiments, a maximum frequency may be about 10 MHz. In some other embodiments, the minimum frequency may be about 1-10 mHz.

EXPERIMENTAL VALIDATION

EPIIRs were fabricated by electron beam or thermally evaporating 10 nm of titanium as an adhesion layer and then 40 nm of gold (planar equivalent) on each surface of anodized aluminum oxide wafers (InRedox Materials Innovation) with various pore diameters.FIG.6Ashows a plan view SEM image of one of the EPIIRs fabricated. The ion pumping properties of the EPIIRs were tested in an electrochemical cell in which the EPIIR served as a membrane separating two electrolyte compartments, each containing an Ag/AgCl wire that was used to probe the potential between the two compartments.FIG.6Bshows a schematic illustration of the measurement setupFIGS.6C-6Eshow schematic illustrations and digital photographs of alternative measurement setups that are also amenable to driving overall desalination by pumping at least two types of ions of oppositely signed charge without performing redox reactions.

The EPIIR pumping mechanism was validated by measuring the output ionic open-circuit voltage, Vout, for various input signals. The EPIIR has 40 nm diameter pores and the aqueous solution is 1 mM KCl. Unless stated otherwise, the input electric signals Vc(t) are square waves at a frequency of 100 Hz, with a low voltage level of −0.2 V, and a high voltage level at 0.2 V. The ratchet input signal was produced with an HP 3245A universal source and the voltage between the Ag/AgCl wires was measured with an Agilent 34401A multimeter where both instruments shared the same ground. The voltage measurement was conducted with an integration time of 1.67-3.0 seconds to reduce the output signal oscillations and obtain only a net voltage. The response to every input signal was measured for 5 min after which the input was set to 0 V for 5 minutes.FIG.7Ashows the recorded ionic open-circuit voltage for duty cycles between 5% and 100% (the duty cycle is the portion of the time in every period where the voltage is at its high value). The input signal duty cycle is indicated on the plot. Once a ratchet signal commences, the output ionic open-circuit voltage quickly builds up to a level determined by the duty cycle. The ratchet induced voltage reaches its largest values for duty cycles close to 50%, i.e. a temporally averaged input voltage of 0 V. For a duty cycle of 100%, which is the response to a voltage step from 0 V to 0.2 V, the voltage signal shows fast capacitive charging behavior corresponding to polarization of the membrane. However, unlike the response to a duty cycle of 100%, which is a step function at 0.2 V, for a duty cycle of 95%, which is a modulated input signal with a temporal average voltage of 0.19 V, the ionic voltage is negative and with a much slower decay over time. This provides a simple distinction between near-steady-state ratchet-powered ion transport and capacitive charging-discharging behavior.

To estimate the EPIIR output ionic open-circuit voltage, the recorded voltage was averaged over the last 2.5 minutes of every cycle and the difference between the ratchet ON and ratchet OFF average voltages was calculated.FIG.7Bshows the EPIIR output ionic open-circuit voltage as a function of the input signal amplitude (peak to peak) for aqueous 1 mM KCl and aqueous 10 mM KCl solutions. The input signal was a square wave with a voltage offset of 0 V, frequency of 100 Hz and a duty cycle of 50%. For the 1 mM KCl solution, a noticeable EPIIR output is visible for ratchet signals with an amplitude as small as 0.1 V peak to peak. The EPIIR output is significantly smaller in the 10 mM KCl solution. Without wishing to limit the present invention to any theory or mechanism, at a higher ion concentration, the solution ions better screen the input signal and as a result, the center of the pore is less affected by the input signal and serves as a shunt.FIGS.7C-7Dshow the EPIIR output ionic open-circuit voltage as a function of the frequency and duty cycle in 1 mM and 10 mM KCl, respectively. Since ratchet systems have no output when a constant voltage is applied, the EPIIR output ionic voltage is dose to 0 V for duty cycles near 0% and 100%. Similarly, at low frequencies, the EPIIR fully charges and discharges the double layers, which is similar to operation under a constant bias. Thus, the output is near 0 V at low frequencies as well. As a result, the EPIIR shows a significant output only when operated with duty cycles near 50% and at input signal periods that are close to the characteristic charging-discharging time constant of the EPIIR. When the input signal period is significantly shorter than the EPIIR charging and discharging time constants the output goes to zero again. Since higher salinity results in lower solution resistivity and shorter time constants, the optimal frequency for the 10 mM solution is higher than for the 1 mM solution. The optimal duty cycle is determined by the geometry of the system and the input signal properties. For example, in a system where the input signal modulation results in a potential alteration as shown inFIG.3A, the amplitude and the sign of the output ionic current and voltage will be determined by the input signal duty cycle.

The observation of a net ionic voltage means that the ratcheting process alters the equilibrated condition of the cell to one that can perform useful work. In order to do this, the voltage that is generated must be used. One way to do this is to provide a low-impedance electron-transport pathway between the two Ag/AgCl ionic voltage-sensing electrodes such that net ionic current can flow via intermediate electronic current generated by redox reactions at the electrodes. Doing this results in analogous data to that reported for the ionic open-circuit voltage measurements above, as seen inFIG.8A, but instead for ionic short-circuit current, as seen inFIG.8B. The cause of the observation of a net ionic open-circuit voltage and short-circuit current is unclear based on the bulk time-averaged results, but is apparent from individual periods of ionic voltage (FIG.8C) and ionic current (FIG.8E), which also clearly illustrate the asymmetry and signal observed on longer time-averaged data (FIGS.8D,8F).

Device Configurations

Stacked EPIIRs

Porous alumina wafers provide a simple substrate that can be used to fabricate EPIIRs. The high mechanical, chemical and thermal robustness of alumina wafers enable the use of a suite of deposition techniques for the fabrication of full devices. Furthermore, anodic aluminum oxide (AAO) wafers can be purchased that have nominal pore diameters ranging from 10 nm to 250 nm making them compatible with electrolyte solutions having a wide range of conductivities. For these reasons, initial studies focused on EPIIRs based on AAO substrates. The initial simplest devices to be tested are single EPIIRs fabricated by depositing thin conductive metal layers on both sides of the MO wafer.FIG.9Ashows a schematic illustration for such a device.

While AAO wafers serve as good EPIIR substrates, other materials, for example polymers with sub-micron pores, can be used as well. In other embodiments, similar structures are formed by depositing metal layers with sub-micron pores on the two sides of an ion selective material such as Nafion®. Such configurations may have higher ionic conductivity and selectivity and they may be more efficient since the entire ion conducting phase is biased directly and not through fringing fields as in EPIIRs described below. Pores in the metal layers allow the ions to be easily transported in and out of the device.

The EPIIR efficiency can be increased further by using a combination of an ion selective material such a Nafion as the ion transport layer, and a mixed electronic and ionic conductor such as salts of poly(3,4-ethylenedioxythlophene) or a composite material as non-limiting examples of the conductive layer.40Such a configuration allows the entire surface of the EPIIR to be active instead of just the pores in the AAO wafer or in the electronically conductive layer described above.

Flashing ratchet devices include periodic structures with asymmetric electric potential distribution profiles. A similar configuration can be adopted to EPIIRs by stacking several EPIIR structures on top of a porous substrate. The EPIIRs stack can be fabricated by sequential deposition of conductive and dielectric layers for example with thermal or electron beam evaporation, sputtering, atomic layer deposition, among others. An asymmetric, saw-tooth like electric potential distribution is obtained by alternating the thickness of the dielectric layers between two values.FIG.9Bshows a schematic illustration of a stacked EPIIR andFIG.9Cshows a schematic representation of the electric potential distribution within the pore of this a device. The fine control of the thickness of the EPIIRs in this configuration holds a very important advantage. Since the absolute amount of ions within the pore depends on the EPIIR thickness, thinner EPIIRs will have less charge within the pores thus the input potential will not be easily screened by the ions within the pore. As a result, thinner EPIIRs will be able to pump ions in higher concentration solutions. By connecting different metal layers to different power sources, the potential within the pore can be controlled with more degrees of freedom resulting in a reversible ratchet. In these EPIIRs charge will not disperse in both directions upon potential switching and as a result, their efficiency can be dramatically higher than that of irreversible ratchets in which the charged particles disperse forward and backward upon potential switching.26FIG.9Dshows an illustration of an EPIIR that can operate as a reversible ratchet andFIG.9Eshows schematically the spatial electric potential distribution within its pores.

Semiconducting EPIIRs

Undoped and lightly doped semiconducting EPIIRs offer two fundamental advantages: They can be operated optically, and formed junctions can be used to fine tune the electric potential distribution within pores. High aspect ratio pores can be etched with photoelectrochemical etching41and with low temperature inductive coupled plasma etching.42FIG.10shows a schematic illustration of semiconducting EPIIR made of silicon with junction formations within it to fine tune the electric potential distribution within the pore.

Integrated Devices

Water deionization devices based on EPIIRs and semiconducting EPIIRs can be constructed with interdigitated devices as shown below. Besides water desalination, ion pumps and deionization devices can be used for a range of different applications. For example, since different ions are expected to have a different frequency response, such devices can be used for chemical separations. Devices based on EPIIRs can have improved functionality if integrated together or coupled with ion selective materials, for example, by depositing a cation-exchange membrane or an anion-exchange membrane on top of EPIIRs to produce an ion-selective pump.

Electrodialysis and capacitive deionization systems are hindered by large series resistance losses. To reduce these losses, there need to design a water deionization system that minimizes the distance that pairs of oppositely charged ions need to travel, constituting ions that are actively pumped and those neutralizing counter ions that together constitute a net chemical reaction and even energy storage. In one embodiment, this distance can be minimized by fabricating interdigitated EPIIRs. These EPIIRs include two sets of interlaced metal contact fingers, each set connected to different pores. Then, by supplying the two sets of contacts with opposite input signals, each set of pores can pump ions in different directions. Cation-exchange membrane and anion-exchange membrane materials are deposited on top of the two sets of contacts making each of the sets selective to either cations or anions. Hence, both types of charged ions can be pumped in a unidirectional manner from one side of the EPIIR to the other. Photolithography can be used to reduce to minimum the distance between the cation and anion pores potentially removing series resistance losses.FIGS.11A-11Bshows a schematic illustration of the interdigitated EPIIR. The top view (FIG.11A) shows the contact fingers and the cation-exchange membrane and the anion-exchange membrane deposited on top of which.FIG.118is an illustration of ion transport through two adjacent contact fingers. The aforementioned example is but one configuration that can achieve said objective of reducing losses, and it is understood that the present invention is not limited to said embodiment.

As used herein, the term “about” refers to plus or minus 10% of the referenced number.

Although there has been shown and described the preferred embodiment of the present invention, it will be readily apparent to those skilled in the art that modifications may be made thereto which do not exceed the scope of the appended claims. Reference numbers recited in the below claims are solely for ease of examination of this patent application, and are exemplary, and are not intended in any way to limit the scope of the claims to the particular features having the corresponding reference numbers in the drawings. In some embodiments, the figures presented in this patent application are drawn to scale, including the angles, ratios of dimensions, etc. In some embodiments, the figures are representative only and the claims are not limited by the dimensions of the figures. In some embodiments, descriptions of the inventions described herein using the phrase “comprising” includes embodiments that could be described as “consisting essentially of” or “consisting of”, and as such the written description requirement for claiming one or more embodiments of the present invention using the phrase “consisting essentially of” or “consisting of” is met.

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