The present invention generally relates to the technical field of electrospinning. More specifically the present invention relates to a biomimetic, nanofiber-based and directional moisture-wicking electronic skin and a fabrication method thereof.
The global interest in wearable bioelectronics, capable of detecting and quantifying physiological data arising from human movements, has surged. Conventional rigid electrodes, typically affixed to the skin or organs using tapes or clips, often yield incompatible contact with the human body, leading to distorted or highly noisy physical signals. Recent advancements in flexible electronic skins address these issues, offering characteristics such as lightweight, ultra-thinness, and comfort. These innovations find applications in personalized health management, man-machine interfaces, and artificial intelligence. However, many flexible bioelectronics with impressive acquisition performance are constructed using impermeable polymer membranes or gels, impeding gas or moisture exchange between the human skin and the ambient environment. This limitation can result in interference from externally induced thermal or moisture effects. Extended contact periods can lead to sweat deposition, causing discomfort and signal distortion.
Electrospinning technology has rapidly evolved for large-scale manufacturing of fibrous membranes. Nanofiber networks created through electrospinning exhibit a high specific surface area, excellent flexibility, and diverse pore sizes, making them promising candidates for highly sensitive and breathable electronic skins. Recent studies have focused on developing high-performance, monofunctional pressure sensors or nanogenerators using nanofibrous membranes, demonstrating good conductivity or energy harvesting in specific applications.
However, the development of electrospun fibrous membranes has predominantly focused on monotonically hydrophilic or hydrophobic architectures, resulting in skin humidity and limited moisture transfer between the body and electronics. This can lead to skin discomfort and potential inflammation. In the context of large-scale practical applications of electronic skins, factors such as versatility, wearable comfort, and energy-saving performance are crucial.
MXene, a novel 2D material derived from the chemical exfoliation of bulk MAX crystalline structures, has garnered attention. Represented by the formula Mn+1XnTx (n=1, 2, or 3), where M denotes transition metals (e.g., Ti, Cr, and V), X denotes carbon and/or nitrogen, and Tx represents surface functional groups (hydroxyl, oxygen, or fluorine terminals), MXene exhibits excellent metallic conductivity, thermal conductivity, and a high surface area. Various electronic skins composed of Ti3C2Tx and their hybrids have been designed to achieve piezoresistive sensing properties, including low detection limits, high sensitivity, and long stability. Challenges arise, however, due to the exceptionally high conductivity and interlayer restacking resulting from hydrogen bonding and van der Waals forces, leading to minimal changes in the conductive path under low pressure and low sensitivity. Furthermore, the low mechanical strength compromises long-term deformation and structural integrity under high pressure. Recent efforts have focused on constructing stable interfaces in different MXene-based hybrid nano-/micro-structures through the design of heterogeneous interface interactions. Nevertheless, traditional electronic skins and biosensors based on MXenes are typically fabricated using airproof composite membranes, potentially resulting in uncomfortable wear, microorganism breeding, and skin inflammation.
Therefore, developing moisture-permeable multifunctional electronic skins for physiological monitoring and biomechanical energy harvesting in a single device is of great importance, and the present invention provides a biomimetic, nanofiber-based and directional moisture-wicking electronic fabric/skin to address the need of human-compatible wearable electronic fibres/skins.
The present invention provides a biomimetic, nanofiber-based and directional moisture-wicking wearable electronic fabric having an asymmetric heterostructure, and fabrication methods and applications thereof.
In accordance with a first aspect of the present invention, a biomimetic, nanofiber-based and directional moisture-wicking wearable electronic fabric is provided. The electronic fabric includes a hydrophobic nanofiber layer, a superhydrophilic nanofiber layer and a conductive layer. Particularly, the conductive layer is located between the hydrophobic nanofiber layer and the superhydrophilic nanofiber layer, forming a multilayer composite structure so as to realize the conductive and electronic sensing function and generate a surface energy gradient and a push-pull effect to guide moisture unidirectionally. Moreover, the biomimetic, nanofiber-based and directional moisture-wicking wearable electronic fabric has a pressure sensing sensitivity of 75 to 550 kPa−1 in a pressure range from 0 to 20 kPa and a water vapor transfer rate between 12-18 kg·m−2·d−1 at 25° C.
When a water drop contacted the hydrophobic PVDF layer, the water was pumped over the hydrophobic side and wetted the superhydrophilic PAN nanofibers side in about 18 seconds. In contrast, when the electronic fabric was flipped and the water droplet contacted the superhydrophilic nanofibrous PAN layer, the water droplet was blocked and spread over the superhydrophilic nanofibers without penetrating the hydrophobic PVDF nanofibers.
In accordance with one embodiment of the present invention, the conductive layer is coated on a side either of the hydrophobic nanofiber layer or the superhydrophilic nanofiber layer.
In accordance with one embodiment of the present invention, the hydrophobic nanofiber layer and the superhydrophilic nanofiber layer are electrospun nanofiber layers.
In accordance with another embodiment of the present invention, t the conductive layer is an electrosprayed conductive layer.
In accordance with one embodiment of the present invention, the hydrophobic nanofiber layer includes one or more high molecular weight hydrophobic polymers selected from polyvinylidene difluoride, copolymers of polyvinylidene difluoride, polyurethane, or polycaprolactone.
In accordance with one embodiment of the present invention, the superhydrophilic nanofiber layer includes one or more high molecular weight hydrophilic polymer selected from polyacrylonitrile, polyvinyl alcohol, nylon or polyethylene glycol.
In accordance with one embodiment of the present invention, the conductive coating layer includes an ultrafine and conductive functional material selected from one or more graphene oxide, titanium carbide, carbon nanotube, carbon black or acetylene black and a metal salt selected from lithium chloride or sodium chloride.
In accordance with one embodiment of the present invention, the size of the ultrafine and conductive functional material is 0.1 to 10 μm.
In accordance with a second aspect of the present invention, a method of fabricating the biomimetic, nanofiber-based and directional moisture-wicking wearable electronic fabric is provided. Particularly, the method including the following steps:
In accordance with one embodiment of the present invention, the electrospraying of the conductive coating layer includes adding one or more ultrafine and conductive functional materials into a solution of water and ethanol with an addition of a surfactant to form an electrostatic spraying ink; and electrospraying the electrostatic spraying ink on the side of the hydrophobic nanofiber layer or the hydrophilic nanofiber layer to form the conductive coating layer.
In accordance with one embodiment of the present invention, the solution of water and ethanol has a mass ratio of (5-10):(10-20) of water and ethanol.
In accordance with one embodiment of the present invention, the surfactant is a low molecular weight polyvinylpyrrolidone with an addition amount of 0-5 wt %.
In accordance with one embodiment of the present invention, the ultrafine and conductive functional material selected from one or of graphene oxide, titanium carbide, carbon nanotube, carbon black or acetylene black; and the metal salt selected from lithium chloride or sodium chloride
In accordance with one embodiment of the present invention, the mass ratio among the one or more ultrafine and conductive functional materials, the surfactant and the solution is (2-5):(0-1):20.
In accordance with one embodiment of the present invention, the electrostatic spraying process is conducted by a single-needle electrospraying device with electrostatic spraying conditions of a voltage ranging from 18 kV to 25 kV, an injection pump flow rate of 0.04 mm/min to 0.1 mm/min, and a receiving distance between 5 cm to 15 cm.
In accordance with one embodiment of the present invention, the formation of the hydrophobic nanofiber layer includes adding a hydrophobic polymer and carboxylic carbon tubes to a dimethylformamide and/or acetone solvent and stirring them to obtain a first spinning solution; and electrospinning the first spinning solution to obtain the hydrophobic nanofiber layer.
In accordance with one embodiment of the present invention, the hydrophobic polymer is selected from polyvinylidene difluoride, copolymers of polyvinylidene difluoride, polyurethane, or polycaprolactone.
In accordance with one embodiment of the present invention, the formation of the superhydrophilic nanofiber layer includes adding a hydrophilic polymer and a surfactant to a dimethylformamide solvent and stirring them to obtain a second spinning solution; and electrospinning the second spinning solution to obtain the superhydrophilic nanofiber layer.
In accordance with one embodiment of the present invention, the hydrophilic polymer is selected from polyacrylonitrile, polyvinyl alcohol, nylon or polyethylene glycol.
In accordance with one embodiment of the present invention, the surfactant is selected from sodium dodecyl sulfonate, sodium dodecyl benzene sulfonate or hexadecyl trimethyl ammonium bromide.
In accordance with one embodiment of the present invention, the electrospinning is characterized by using a single-needle spinning device with electrospinning conditions comprising a voltage of 20 kV to 25 kV, a flow rate of syringe pump of 0.03 mm/min to 0.06 mm/min, and a receiving distance of 10 cm to 15 cm.
In accordance with a third aspect of the present invention, a biomimetic, nanofiber-based and directional moisture-wicking electronic skin is provided. Specifically, the electronic skin includes the aforementioned biomimetic, nanofiber-based and directional moisture-wicking wearable electronic fabric with the hydrophobic nanofiber layer contacting human skin.
In accordance with a fourth aspect of the present invention, a single-electrode triboelectric nanogenerator, including the aforementioned biomimetic, nanofiber-based and directional moisture-wicking wearable electronic fabric and one or more electrodes positioned on the conductive layer, is provided. It is worth noting that the single-electrode triboelectric nanogenerator has a response time between 20 to 30 milliseconds, a recovery time between 30 to 40 milliseconds and an areal power density ranging from 0 to 21.6 μW m−2.
Embodiments of the invention are described in more details hereinafter with reference to the drawings, in which:
In the following description, methods for fabricating biomimetic, nanofiber-based and directional moisture-wicking wearable electronic fabric, applications thereof and the likes are set forth as preferred examples. It will be apparent to those skilled in the art that modifications, including additions and/or substitutions may be made without departing from the scope and spirit of the invention. Specific details may be omitted so as not to obscure the invention; however, the disclosure is written to enable one skilled in the art to practice the teachings herein without undue experimentation.
In accordance with a first aspect of the present invention, the present invention provides a biomimetic, nanofiber-based, and directional moisture-wicking wearable electronic fabric featuring an asymmetric heterostructure. The fabric includes three distinct layers: a hydrophobic nanofiber layer, a superhydrophilic nanofiber layer, and a conductive layer. As used herein, the term “superhydrophilic” relates to materials that have an excess attraction to water such that there is a complete spreading of water or other polar liquids on the material surface. That is the contact angle of water droplets is approximately zero degrees within 2 seconds. The conductive layer is strategically positioned between the hydrophobic and superhydrophilic layers, creating a sandwich structure of a multilayer composite. This configuration not only facilitates the realization of conductive and electronic sensing functions but also generates a surface energy gradient and a push-pull effect, guiding moisture unidirectionally. The fabric demonstrates remarkable sensitivity within a pressure range of 0 to 2 kPa.
The conductive layer may be coated on one side of either the hydrophobic nanofiber layer or the superhydrophilic nanofiber layer. The fabrication of the hydrophobic and superhydrophilic nanofiber layers employs an electrospinning method, ensuring precision and uniformity. Similarly, the conductive layer is created through electro spraying, contributing to its even distribution and functionality.
The hydrophobic nanofiber layer includes high molecular weight hydrophobic polymers such as polyvinylidene difluoride or its copolymers, polyurethane, or polycaprolactone. On the other hand, the superhydrophilic nanofiber layer consists of high molecular weight hydrophilic polymers, including but not limited to polyacrylonitrile, polyvinyl alcohol, nylon, or polyethylene glycol, and a metal salt.
The conductive coating layer incorporates ultrafine and conductive functional materials like graphene oxide, titanium carbide, carbon nanotube, carbon black, or acetylene black, with a size range of 0.1 to 10 μm. Additionally, a metal salt, specifically lithium chloride or sodium chloride, is integrated into the conductive coating layer to enhance its overall performance.
This biomimetic electronic fabric demonstrates high levels of directional moisture-wicking, offering a combination of sensitivity, rapid response times, and reliable recovery periods when used as a pressure sensor or as an energy harvester/nanogenerator. The materials and fabrication methods employed contribute to a versatile, cost-effective, and scalable solution for various applications, including wearable electronics and smart textiles.
In accordance with a second aspect of the present invention, a method of fabricating the biomimetic, nanofiber-based, and directional moisture-wicking wearable electronic fabric is provided. It incorporates several sequential steps. Initially, either the hydrophobic nanofiber layer or the superhydrophilic nanofiber layer is formed by utilizing the electrospinning technique. Following this, the conductive coating layer is electrosprayed onto a side of either the hydrophobic or the superhydrophilic layer. Subsequently, the remaining layer, whether it be the hydrophobic or superhydrophilic nanofiber layer, is formed on the conductive coating layer, thus establishing the multilayer composite structure with the conductive coating layer positioned as the middle layer. The final step involves the drying of the fabricated layers, resulting in the biomimetic, nanofiber-based, and directional moisture-wicking wearable electronic fabric.
The electrospraying of the conductive coating layer involves a meticulous process. Ultrafine and conductive functional materials, along with a metal salt, are combined in a solution of water and ethanol, augmented by a surfactant to formulate an electrostatic spraying ink. This ink is then electrosprayed onto the side of the hydrophobic nanofiber layer or the superhydrophilic nanofiber layer to create the conductive coating layer.
In particular, the solution of water and ethanol maintains a mass ratio within the range of (5-10):(10-20). A low molecular weight polyvinylpyrrolidone, with an addition amount of 0-5 wt %, serves as the surfactant. The ultrafine and conductive functional material options include graphene oxide, titanium carbide, carbon nanotube, carbon black, or acetylene black, combined with a metal salt, either lithium chloride or sodium chloride. The mass ratio among the ultrafine and conductive functional materials, surfactant, and the solution is maintained at (2-5):(0-1):20.
The electrospraying process is executed by a single-needle electrospraying device, adhering to specific electrostatic spraying conditions. These include a voltage range from 18 kV to 25 kV, an injection pump flow rate ranging from 0.04 mm/min to 0.1 mm/min, and a receiving distance maintained between 5 cm to 15 cm.
For the formation of the hydrophobic nanofiber layer, a first spinning solution is created by adding a hydrophobic polymer and carboxylic carbon tubes to a dimethylformamide and/or acetone solvent, followed by electrospinning. The hydrophobic polymer options encompass polyvinylidene difluoride or its copolymers, polyurethane, or polycaprolactone.
Similarly, the formation of the superhydrophilic nanofiber layer involves preparing a second spinning solution, incorporating a hydrophilic polymer and a surfactant in a dimethylformamide solvent, and electrospinning. The hydrophilic polymer options include polyacrylonitrile, polyvinyl alcohol, nylon, or polyethylene glycol, while the surfactant can be selected from sodium dodecyl sulfonate, sodium dodecyl benzene sulfonate or hexadecyl trimethyl ammonium bromide.
The electrospinning process is characterized by using a single-needle spinning device, maintaining electrospinning conditions comprising a voltage range of 20 kV to 25 kV, a syringe pump flow rate of 0.03 mm/min to 0.06 mm/min, and a receiving distance of 10 cm to 15 cm.
In accordance with a third aspect of the present invention, a biomimetic, nanofiber-based, and directional moisture-wicking electronic skin, in which the aforementioned electronic fabric is integral, is provided. The hydrophobic nanofiber layer is thoughtfully designed to make direct contact with the human skin, enhancing the sensor's functionality and optimizing its performance in various applications.
In accordance with a fourth aspect of the present invention, a single-electrode triboelectric nanogenerator is introduced, featuring the aforementioned biomimetic, nanofiber-based, and directional moisture-wicking wearable electronic fabric and one or more electrodes positioned on the conductive layer. This singular electrode triboelectric nanogenerator is capable of energy harvesting and electronic sensing. Leveraging the fabric's triboelectric properties, this nanogenerator showcases a response time between 20 to 30 milliseconds, a recovery time between 20 to 40 milliseconds and an areal power density within the range of 0 to 21.6 μW m−2, underscoring its efficiency in converting mechanical energy from moisture movement into a usable power output. This single-electrode configuration streamlines the design and operation, offering a simplified yet powerful solution for diverse energy-harvesting applications.
The nanofiber-based electronic textile of the invention has several advantages: the function of directional moisture wicking, conductivity, sensing physiological signal and harvesting biomechanical energy; the conductive coating layer is prepared by electrospraying, which is simple, controllable; the addition of surfactants contributes to the dispersion of conductive functional materials, spraying uniformity and bonding fastness to the substrate; compared with previous studies, the addition of surfactants can further improve the superhydrophilicity of hydrophilic polymers through intermolecular chemical bonding, without the need for post-treatment.
In the following, the contents of the invention will be further clarified in combination with implementation examples for a better understanding of the invention. However, the content of the invention is not limited to the following embodiments. The technical personnel in this field may make various changes or modifications to the invention, and these equivalent forms are also within the limits of the claims listed in this application.
The fabrication process commences with the dissolution and stirring of 3 g PVDF and 0.1 g carboxylic CNTs in a 16.9 g DMF/Acetone mixed solution (3/2, wt/wt) with the addition of 0.2 wt % LiCl. Using the electrospinning technique, a hydrophobic layer of CNT-modified PVDF (C-PVDF) nanofibers membrane is achieved. Subsequently, an MXene/CNTs conductive ink is electrosprayed onto the C-PVDF nanofibers. For the top layer, 2 g polyacrylonitrile (PAN) is dissolved and stirred in an 18 g DMF solution with 0.2 wt % SDS addition, and a hydrophilic PAN nanofibers membrane is electrospun onto the electrosprayed membrane. During both electrospinning and electrospraying processes, a positive voltage and feeding rate of 25 kV and 0.05 mm min-1, respectively, are set. The tip-to-collector distance is maintained at 15 cm. The electrospraying time for the MXene/CNTs conductive ink varies for different samples (2, 6, and 10 h for sample-1, sample-2, and sample-3, respectively).
The MXene/CNTs conductive ink is prepared by mixing carboxylated carbon nanotube (CNT) solution and Mxene nanosheet colloidal solution. LiF (1 g) is dissolved in 10 mL HCl (9 M), and Ti3AlC2 powders (1 g) are gradually added into the LiF/HCl aqueous solution. The solution is moved into a Teflon autoclave for 24 h at 60° C., followed by sequential washing with 3 M HCl and DI water until pH=7. The obtained black jelly is ultrasonicated in DI water for 2 h under argon protection and centrifuged at 4,000 rpm. The concentration of the colloidal Ti3C2Tx nanosheets solution is approximately 8 mg mL−1. The corresponding TEM image of Ti3C2Tx nanosheets is shown in
In a preferred embodiment, a thin and hydrophobic layer of C-PVDF nanofibers is electrospun onto an aluminum foil as the bottom layer in close proximity to the skin, ensuring a small wetting area and low sweat absorption. Subsequently, the MXene/CNTs conductive ink is electrosprayed onto the C-PVDF nanofibers layer. Electrospraying facilitates control over the spraying time and thickness, preserving the porous nature of the fiber substrate with thin spraying layers. The presence of carboxylic CNTs is instrumental in fostering interactions among C-PVDF, MXenes, and CNTs, preventing the mutual stacking of MXene lamellae and acting as a bridge between MXenes. Finally, a thick and superhydrophilic outer protective layer of PAN nanofibers is constructed by electrospinning PAN precursor solution onto the C-PVDF/MXene-CNTs layer. This electronic fabric effectively pulls sweat away from the skin and sensing layer, enabling quick evaporation with a wider wetting area and ensuring stable bioelectric signal acquisition. The constructed electronic fabric ensures accurate all-over physiological monitoring and achieves biomechanical energy harvesting through the single-electrode triboelectric mechanism. When serving as a pressure sensor, the MXene/CNTs layer functions as the conductive sensing layer, perceiving pressure-induced structural changes and converting them into electrical signals via the interdigital electrode. In its role as a single-electrode triboelectric nanogenerator (STENG), the MXene/CNTs layer acts as the charge acquisition electrode.
Additionally, the surface resistance changes of the DMWES are shown in
As shown in
The X-ray photoelectron spectroscopy (XPS) survey scan exhibits the coexistence of C, O, F, and Ti elements in C-PVDF/MXene-CNTs (
The tensile strength of the nanofiber membrane is of great significance to the wearability evaluation of the fabric-based wearable electronics. It can be observed from
In order to evaluate the directional water transport performance in the electronic fabric, the wettability of the hydrophilic and hydrophobic nanofiber membranes is evaluated first.
There is a possible mechanism for both conditions from the macroscopic force analysis in
where r, γ, and θ are the pore radius, the liquid surface tension, and the liquid contact angle, respectively.
Obviously, Fc is inversely proportional to the pore size, demonstrating that the gradient porous structure plays an important role in the water transport process. The decreased pore size of the PAN nanofibers resulted in the increase in the Fc in both the vertical and the horizontal directions. The Fc will continually pull water into the internal superhydrophilic nanofibers layer through numerous pores of the C-PVDF nanofibers. And then the Fs will reverse and further facilitate the downward transfer of water droplets. Finally, the liquid will drip from the superhydrophilic PAN nanofibers (
The model of the superhydrophilic and hydrophobic nanofibers are further simplified in microscopic scale to understand the key parameters of directional water transport. As shown in
where r is the pore diameter between the hydrophobic fibers, v is the local geometrical angle, and Ro is the fiber radius. ΔP corresponds to the value of FH when TCL reaches an equilibrium state.
The TCL goes lower with the increase in FH, and the vertical distance h between the bottom of the hydrophobic nanofibers and the convex apex increases. The distance between hydrophobic and superhydrophilic nanofibers is H. To achieve directional water transfer, h=H must be satisfied so that the liquid can reach the superhydrophilic fibers. Then, the reverse hydrophobic force (Fs) and strong Fc of hydrophilic layer can induce the push-pull effect to drag the liquid to the pores of the hydrophilic nanofibers. Nevertheless, when the thickness of hydrophobic nanofibers increases, ΔP will increase because of the decreased r value by mutual stacking of nanofibers; hence, h will decrease accordingly. The h will be much smaller than H in this case, so directional water transport cannot be implemented. When the hydrophilic layer is on top (
To test the sensing performance of the electronic fabric, the piezoresistive effect and the triboelectric effect of the fabricated electronic skin are cooperatively utilized to realize all-range healthcare monitoring, and biomechanical energy harvesting. For the pressure sensing tests, conductive Cu tapes are adhered onto two electrodes of the interdigital electrode of electronic fabric, and the electronic fabric is encapsulated by the medical grade adhesive tape on the top side to ensure to ft skin. Firstly, the electromechanical properties of electronic skin are measured by monitoring the relative resistance variation or sensitivity (ΔI/Io, ΔI=I-Io, Io indicates the original current, I represents the current under pressure).
Furthermore, two drops of water are utilized to evaluate the detection capability of the electronic fabric at extremely low pressures. As shown in
The long-term piezoresistive stability of the electronic fabric is further evaluated by a continuous compression and separation test at 10 kPa; the current response under pressure is stable even after 3,000 cycles (
The proposed sensing mechanism of the electronic fabric is shown in
On account of the high conductivity of MXene/CNTs electrospraying layer and strong electronegativity of the MXene/CNTs, C-PVDF, and PAN layers, the electronic fabric is further explored based on the single-electrode triboelectric mechanism for biomechanical energy harvesting, in which the MXene/CNTs electrospraying side acted as the electrode.
Based on the superior pressure sensing and triboelectric performance of the electronic fabric, the electronic fabric can realize the all-over healthcare sensing with these two mechanisms. In
The R.I. and S.I. values are computed to be 50.1% and 5.40, 64.3% and 9.38 for user 1 and user 2, respectively. The results indicate the healthy status of the two users. The higher the R.I. and S.I. values, the higher the risk of cardiovascular disease like hypertension, cardiovascular infarction.
A wearable physiological monitoring system connecting the electronic fabric is further developed for ECG detection. As shown in
Moreover, the comparison between the moisture-wicking effect of the present invention and the commercial product after running exercise is made.
In summary, the present invention provides an ultrasensitive directional moisture-wicking electronic fabric with dual-mode sensing capability and biomechanical energy harvesting based on the construction of heterogeneous fibrous membranes and the controllable MXene/CNTs electrospraying layer. Unidirectional moisture transfer is successfully realized by surface energy gradient and push-pull effect induced by the distinct hydrophobic-hydrophilic difference, which can spontaneously absorb sweat from the skin and ensure bioelectrical signal stability. The directional moisture-wicking electronic fabric shows superior static sensing properties, high sensitivity in low-pressure area, wide linear range, rapid response/recover time. In addition, the STENG based on the electronic fabric can deliver a high areal power density of 0 to 21.6 μW m−2 and good cycling stability. With the superior pressure sensing and triboelectric performance, the electronic fabric can achieve all-range healthcare sensing, including accurate pulse monitoring, voice recognition, and gesture sensing. The present invention provides a electronic fabric and/or skin for the development for the next-generation breathable self-powered electronic skins in the applications of AI, human-machine interaction, and soft robots.
As used herein and not otherwise defined, the terms “substantially,” “substantial,” “approximately” and “about” are used to describe and account for small variations. When used in conjunction with an event or circumstance, the terms can encompass instances in which the event or circumstance occurs precisely as well as instances in which the event or circumstance occurs to a close approximation. For example, when used in conjunction with a numerical value, the terms can encompass a range of variation of less than or equal to ±10% of that numerical value, such as less than or equal to ±5%, less than or equal to ±4%, less than or equal to ±3%, less than or equal to ±2%, less than or equal to ±1%, less than or equal to ±0.5%, less than or equal to ±0.1%, or less than or equal to ±0.05%.
The foregoing description of the present invention has been provided for the purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise forms disclosed. Many modifications and variations will be apparent to the practitioner skilled in the art.
The embodiments were chosen and described in order to best explain the principles of the invention and its practical application, thereby enabling others skilled in the art to understand the invention for various embodiments and with various modifications that are suited to the particular use contemplated.
The present application claims priority from U.S. provisional patent application Ser. No. 63/482,799 filed Feb. 2, 2023, and the disclosure of which is incorporated herein by reference in its entirety.
Number | Date | Country | |
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63482799 | Feb 2023 | US |