STRUCTURE OF THREE-DIMENSIONAL MEMORY ARRAY
20240389339 ยท 2024-11-21
Assignee
Inventors
Cpc classification
H01L21/823475
ELECTRICITY
H10B51/20
ELECTRICITY
G11C16/0483
PHYSICS
International classification
H10B51/20
ELECTRICITY
Abstract
A 3D memory array includes a tableland feature formed with multiple 3D memory sub-arrays that are arranged in an X-axis direction. Each 3D memory sub-array includes multiple memory cells that are distributed in multiple columns arranged in the X-axis direction, multiple bit lines extending in a Z-axis direction, multiple source lines extending in the Z-axis direction, and multiple word lines extending in a Y-axis direction. Each memory cell includes a first electrode, a second electrode and a gate electrode. Each bit line interconnects the first electrodes of some of the memory cells aligned in the Z-axis direction. Each bit line is electrically connected to another bit line of the same 3D memory sub-array, which is aligned with the bit line in the X-axis direction, and is electrically isolated from the bit lines of another 3D memory sub-array.
Claims
1. A three-dimensional (3D) memory array, comprising: a semiconductor substrate; a tableland feature formed over the semiconductor substrate; and a plurality of 3D memory sub-arrays that are formed in the tableland feature and that are arranged in an X-axis direction; wherein, for each of the 3D memory sub-arrays: the 3D memory sub-array includes a plurality of memory cells that are distributed in multiple columns extending in a Y-axis direction and arranged in the X-axis direction, a plurality of bit lines that extend in a Z-axis direction, a plurality of source lines that extend in the Z-axis direction, and a plurality of word lines that extend in the Y-axis direction, where the X-axis direction, the Y-axis direction and the Z-axis direction are transverse to each other; each of the memory cells includes a first electrode, a second electrode and a gate electrode; in each of the columns of the memory cells, the memory cells are distributed in multiple layers that are arranged in the Z-axis direction; each of the bit lines interconnects the first electrodes of some of the memory cells aligned in the Z-axis direction; each of the source lines interconnects the second electrodes of some of the memory cells aligned in the Z-axis direction; each of the word lines interconnects the gate electrodes of some of the memory cells aligned in the Y-axis direction; and each of the bit lines is electrically connected to another one of the bit lines, which is aligned with the bit line in the X-axis direction, of the 3D memory sub-array; and wherein, for any two of the 3D memory sub-arrays in the tableland feature, each of the bit lines of one of the 3D memory sub-arrays is electrically isolated from the bit lines of the other one of the 3D memory sub-arrays.
2. The 3D memory array according to claim 1, wherein the tableland feature includes a plain portion, and a staircase portion that is connected to and surrounds the plain portions; and wherein the 3D memory sub-arrays are formed in the plain portion.
3. The 3D memory array according to claim 2, wherein the tableland feature includes multiple metal layers and multiple isolation layers that are alternately stacked in the Z-axis direction, and the word lines are formed by the metal layers.
4. The 3D memory array according to claim 3, wherein each of the word lines extends, in the staircase portion, outside of an area covered by any of the isolation layer(s) disposed over the word line.
5. The 3D memory array according to claim 2, further comprising two columns of dummy memory cells that are formed in the plain portion and that sandwich the 3D memory sub-arrays therebetween in the X-axis direction.
6. The 3D memory array according to claim 2, further comprising, for two of the 3D memory sub-arrays that are adjacent in the X-axis direction, a column of dummy memory cells disposed between said two of the 3D memory sub-arrays.
7. The 3D memory array according to claim 1, wherein the word lines are distributed in multiple columns that are separated from each other in the X-axis direction; and wherein, in each of the columns of the word lines, the word lines are distributed in multiple layers that are arranged in the Z-axis direction.
8. The 3D memory array according to claim 7, wherein the substrate has a plurality of driving transistors formed therein, and each of the driving transistors is electrically connected to a corresponding one of the word lines for driving operation of those of the memory cells that are electrically connected to the word line.
9. The 3D memory array according to claim 7, wherein the tableland feature includes a plain portion, and a staircase portion that is connected to and surrounds the plain portions; wherein the 3D memory sub-arrays are formed in the plain portion; wherein the staircase portion includes, for any two of the columns of the word lines that are adjacent in the X-axis direction, a word-line isolation feature disposed between the two of the columns of the word lines; the 3D memory array further comprising another tableland feature that is formed over the substrate, and that has an identical structure as the tableland feature; and wherein the word-line isolation feature of the tableland feature is connected to the word-line isolation feature of said another tableland feature.
10. The 3D memory array according to claim 1, wherein each of the 3D memory sub-arrays includes a plurality of bit-line connection wires and a plurality of source-line connection wires that extend in the X-axis direction; wherein, for each of the 3D memory sub-arrays, each of the bit-line connection wires interconnects some of the bit lines that are aligned in the X-axis direction, and each of the source-line connection wires interconnects some of the source lines that are aligned in the X-axis direction; wherein, for two of the 3D memory sub-arrays that are adjacent in the X-axis direction, each of the bit-line connection wires of one of the 3D memory sub-arrays is electrically isolated from any of the bit-line connection wires of the other one of the 3D memory sub-arrays.
11. A three-dimensional (3D) memory array, comprising: a semiconductor substrate; a plurality of 3D memory sub-arrays that are formed over the semiconductor substrate and that are arranged in an X-axis direction; and an interconnecting feature that is formed over the semiconductor substrate, and that interconnects two of the 3D memory sub-arrays; wherein, for each of the 3D memory sub-arrays: the 3D memory sub-array includes a plurality of memory cells that are distributed in multiple columns extending in a Y-axis direction and arranged in the X-axis direction, a plurality of bit lines that extend in a Z-axis direction, a plurality of source lines that extend in the Z-axis direction, and a plurality of word lines that extend in the Y-axis direction, where the X-axis direction, the Y-axis direction and the Z-axis direction are transverse to each other; each of the memory cells includes a first electrode, a second electrode and a gate electrode; in each of the columns of the memory cells, the memory cells are distributed in multiple layers that are arranged in the Z-axis direction; each of the bit lines interconnects the first electrodes of some of the memory cells aligned in the Z-axis direction; each of the source lines interconnects the second electrodes of some of the memory cells aligned in the Z-axis direction; each of the word lines interconnects the gate electrodes of some of the memory cells aligned in the Y-axis direction; and each of the bit lines is electrically connected to another one of the bit lines, which is aligned with the bit line in the X-axis direction, of the 3D memory sub-array; wherein, for any two of the 3D memory sub-arrays, each of the bit lines of one of the 3D memory sub-arrays is electrically isolated from the bit lines of the other one of the 3D memory sub-arrays; and wherein the interconnecting feature has multiple metal layers and multiple isolation layers that are alternately stacked together in the Z-axis direction.
12. The 3D memory array according to claim 11, wherein each of the 3D memory sub-arrays includes multiple word-line regions and multiple cell regions that are alternately arranged in the X-axis direction, and that cooperatively form the memory cells; and wherein, for each of the 3D memory sub-arrays: each of the word-line regions has a stack structure composed of multiple metal layers and multiple isolation layers that are alternately stacked together in the Z-axis direction; each of the cell regions includes a gate dielectric feature formed on a sidewall of one of the word-line regions that is adjacent to the cell region, and a channel feature formed on the gate dielectric feature; and the channel feature is in contact with one of the bit lines and one of the source lines.
13. The 3D memory array according to claim 12, wherein the interconnecting feature has a same structure as one of the word-line regions.
14. The 3D memory array according to claim 12, wherein the interconnecting feature includes multiple interconnecting word-line regions and at least one dummy cell region that are alternately disposed in the X-axis direction; wherein each of the interconnecting word-line regions has a same structure as one of the word-line regions of the 3D memory sub-arrays; wherein each of the at least one dummy cell region has a same structure as one of the cell regions of the 3D memory sub-arrays.
15. The 3D memory array according to claim 11, further comprising two columns of dummy memory cells that sandwich the 3D memory sub-arrays and the interconnecting feature therebetween in the X-axis direction.
16. The 3D memory array according to claim 11, further comprising a staircase feature that is connected to and surrounds the 3D memory sub-arrays and the interconnecting feature.
17. The 3D memory array according to claim 16, wherein the staircase feature includes multiple metal layers and multiple isolation layer that are alternately stacked together in the Z-axis direction, and the metal layers are formed with a plurality of word-line extensions that are electrically connected to the word lines of the 3D memory sub-arrays, respectively.
18. The 3D memory array according to claim 17, wherein each of the word-line extensions extends outside of an area covered by any of the isolation layer(s) of the staircase feature disposed over the word-line extension.
19. A three-dimensional (3D) memory array, comprising: a semiconductor substrate; a tableland feature formed over the semiconductor substrate; and a first 3D memory sub-array formed in the tableland feature; wherein the first 3D memory sub-array includes a plurality of memory cells that are distributed in multiple columns extending in a Y-axis direction and arranged in an X-axis direction; wherein, in each of the columns of the memory cells, the memory cells are distributed in multiple layers that are arranged in a Z-axis direction, and the X-axis direction, the Y-axis direction and the Z-axis direction are transverse to each other; and wherein the memory cells in adjacent two of the columns are staggered.
20. The 3D memory array according to claim 19, further comprising: a second 3D memory sub-array formed in the tableland feature and adjacent to the first 3D memory sub-array in the X-axis direction; and an interconnecting feature formed over the semiconductor substrate, and interconnecting the first 3D memory sub-array and the second 3D memory sub-array, wherein the second 3D memory sub-array includes a plurality of memory cells that are distributed in multiple columns extending in the Y-axis direction and arranged in the X-axis direction; wherein, in each of the columns of the memory cells of the second 3D memory sub-array, the memory cells are distributed in multiple layers that are arranged in the Z-axis direction; wherein, for the second 3D memory sub-array, the memory cells in adjacent two of the columns are staggered; and wherein the interconnecting feature has multiple metal layers and multiple isolation layers that are alternately stacked together in the Z-axis direction.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0003] Aspects of the present disclosure are best understood from the following detailed description when read with the accompanying figures. It is noted that, in accordance with the standard practice in the industry, various features are not drawn to scale. In fact, the dimensions of the various features may be arbitrarily increased or reduced for clarity of discussion.
[0004]
[0005]
[0006]
[0007]
[0008]
[0009]
[0010]
[0011]
[0012]
[0013]
[0014]
[0015]
[0016]
[0017]
[0018]
DETAILED DESCRIPTION
[0019] The following disclosure provides many different embodiments, or examples, for implementing different features of the invention. Specific examples of components and arrangements are described below to simplify the present disclosure. These are, of course, merely examples and are not intended to be limiting. For example, the formation of a first feature over or on a second feature in the description that follows may include embodiments in which the first and second features are formed in direct contact, and may also include embodiments in which additional features may be formed between the first and second features, such that the first and second features may not be in direct contact. In addition, the present disclosure may repeat reference numerals and/or letters in the various examples. This repetition is for the purpose of simplicity and clarity and does not in itself dictate a relationship between the various embodiments and/or configurations discussed.
[0020] Further, spatially relative terms, such as on, above, over, downwardly, upwardly, and the like, may be used herein for ease of description to describe one element or feature's relationship to another element(s) or feature(s) as illustrated in the figures. The spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. The apparatus may be otherwise oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein may likewise be interpreted accordingly.
[0021]
[0022] The substrate 100 may be a bulk semiconductor substrate or a semiconductor-on-insulator (SOI) substrate, which may be doped (e.g., with a p-type or an n-type dopant) or undoped. In some embodiments, an SOI substrate includes a layer of a semiconductor material formed on an insulator layer. The insulator layer may be a buried oxide (BOX) layer, a silicon oxide layer or any other suitable layer. The insulator layer may be provided on a suitable substrate, such as silicon, glass or the like. The substrate 100 may be made of a suitable semiconductor material, such as silicon or the like. In some embodiments, the substrate 100 is a silicon wafer; and in other embodiments, the substrate 100 is made of a compound semiconductor such as silicon carbide, gallium arsenide, indium arsenide, indium phosphide or other suitable materials. In still other embodiments, the substrate 100 is made of an alloy semiconductor such as GaAsP, AlInAs, AlGaAs, GaInAs, GaInP, GaInAsP or other suitable materials.
[0023] In some embodiments, the substrate 100 includes various p-type doped regions and/or n-type doped regions, such as p-type wells, n-type wells, p-type source/drain features and/or n-type source/drain features, formed by a suitable process such as ion implantation, thermal diffusion, a combination thereof, or the like. In some embodiments, the substrate 100 may include other functional elements such as resistors, capacitors, diodes, transistors, and/or the like. The transistors are, for example, field effect transistors (FETs), such as planar FETs and/or 3D FETs (e.g., fin field effect transistors (FinFETs)). The substrate 100 may include lateral isolation features (e.g., shallow trench isolation (STI)) configured to separate various functional elements formed on and/or in the substrate 100. For example, the substrate 100 may include transistors that constitute driver circuits for the 3D memory array. In the embodiments of this disclosure, the 3D memory array is exemplified as a 3D NOR FeRAM (ferroelectric random-access memory) array, but this disclosure is not limited in this respect. In some embodiments, the 3D memory array may be realized as a 3D NAND memory array. In some embodiments, the 3D memory array may be realized using other types of memory technologies, such as flash memory, MRAM (magnetoresistive random-access memory), PMC (programmable metallization cell), PCM (phase-change memory), ReRAM (resistive random-access memory), or other suitable memory technologies.
[0024] In the first embodiment, the sub-arrays 300 are respectively formed in a plurality of tableland features 200 that are arranged in an X-axis direction and separated from each other.
[0025] Each of the tableland features 200 includes multiple metal layers 201 and multiple isolation layers 202 that are alternately stacked together in a Z-axis direction, as shown in
[0026] Referring to
[0027]
[0028] Referring to
[0029] In the first embodiment, the sub-array 300 in each of the tableland features 200 is disposed between two columns of dummy memory cells 338. The dummy memory cells 338 have the same structure as the memory cells 330 of the sub-array 300, but are not being used because photolithographic processes usually have lower uniformity at edge portions of a pattern, making the outermost two columns of memory cells 338 have relatively poorer performance.
[0030]
[0031] In the second embodiment, the plain portion 210 of the tableland feature 200 can be divided into multiple sub-array segments 211, at least one interconnecting segment 212, and two dummy cell segments 213, where the sub-array segments 211 and the interconnecting segment(s) 212 are sandwiched between the dummy cell segments 213, and are alternately arranged in the X-axis direction. In the illustrative embodiment as shown in
[0032]
[0033]
[0034]
[0035]
[0036]
[0037] Referring to
[0038] Referring to
[0039] Referring to
[0040] Referring to
[0041] Referring to
[0042] Referring to
[0043] Referring to
[0044] After step 560, the bit-line connection wires 311 and the source-line connection wires 312 are formed as shown in
[0045] It is noted that the embodiments of this disclosure are applicable to various designs for the memory cells 330. As an example,
[0046] In summary, in accordance with some embodiments of this disclosure, by forming multiple 3D memory sub-arrays 300 in one tableland feature 200, staircases are not present between adjacent sub-arrays 300, and a number of the columns of the dummy memory cells 338 can be reduced, so as to save chip area.
[0047] In accordance with some embodiments, a 3D memory array includes a semiconductor substrate, a tableland feature formed over the semiconductor substrate, and a plurality of 3D memory sub-arrays that are formed in the tableland feature and that are arranged in an X-axis direction. For each of the 3D memory sub-arrays, the 3D memory sub-array includes a plurality of memory cells that are distributed in multiple columns extending in a Y-axis direction and arranged in the X-axis direction, a plurality of bit lines that extend in a Z-axis direction, a plurality of source lines that extend in the Z-axis direction, and a plurality of word lines that extend in the Y-axis direction, where the X-axis direction, the Y-axis direction and the Z-axis direction are transverse to each other; each of the memory cells includes a first electrode, a second electrode and a gate electrode; in each of the columns of the memory cells, the memory cells are distributed in multiple layers that are arranged in the Z-axis direction; each of the bit lines interconnects the first electrodes of some of the memory cells aligned in the Z-axis direction; each of the source lines interconnects the second electrodes of some of the memory cells aligned in the Z-axis direction; each of the word lines interconnects the gate electrodes of some of the memory cells aligned in the Y-axis direction; and each of the bit lines is electrically connected to another one of the bit lines, which is aligned with the bit line in the X-axis direction, of the 3D memory sub-array. For any two of the 3D memory sub-arrays in the tableland feature, each of the bit lines of one of the 3D memory sub-arrays is electrically isolated from the bit lines of the other one of the 3D memory sub-arrays.
[0048] In accordance with some embodiments, the tableland feature includes a plain portion, and a staircase portion that is connected to and surrounds the plain portions. The 3D memory sub-arrays are formed in the plain portion.
[0049] In accordance with some embodiments, the tableland feature includes multiple metal layers and multiple isolation layers that are alternately stacked in the Z-axis direction, and the word lines are formed by the metal layers.
[0050] In accordance with some embodiments, each of the word lines extends, in the staircase portion, outside of an area covered by any of the isolation layer(s) disposed over the word line.
[0051] In accordance with some embodiments, the 3D memory array further includes two columns of dummy memory cells that are formed in the plain portion and that sandwich the 3D memory sub-arrays therebetween in the X-axis direction.
[0052] In accordance with some embodiments, the 3D memory array further includes, for two of the 3D memory sub-arrays that are adjacent in the X-axis direction, a column of dummy memory cells disposed between said two of the 3D memory sub-arrays.
[0053] In accordance with some embodiments, the word lines are distributed in multiple columns that are separated from each other in the X-axis direction. In each of the columns of the word lines, the word lines are distributed in multiple layers that are arranged in the Z-axis direction.
[0054] In accordance with some embodiments, the substrate has a plurality of driving transistors formed therein, and each of the driving transistors is electrically connected to a corresponding one of the word lines for driving operation of those of the memory cells that are electrically connected to the word line.
[0055] In accordance with some embodiments, the tableland feature includes a plain portion, and a staircase portion that is connected to and surrounds the plain portions. The 3D memory sub-arrays are formed in the plain portion. The staircase portion includes, for any two of the columns of the word lines that are adjacent in the X-axis direction, a word-line isolation feature disposed between the two of the columns of the word lines. The 3D memory array further includes another tableland feature that is formed over the substrate, and that has an identical structure as the tableland feature. The word-line isolation feature of the tableland feature is connected to the word-line isolation feature of said another tableland feature.
[0056] In accordance with some embodiments, each of the 3D memory sub-arrays includes a plurality of bit-line connection wires and a plurality of source-line connection wires that extend in the X-axis direction. For each of the 3D memory sub-arrays, each of the bit-line connection wires interconnects some of the bit lines that are aligned in the X-axis direction, and each of the source-line connection wires interconnects some of the source lines that are aligned in the X-axis direction. For two of the 3D memory sub-arrays that are adjacent in the X-axis direction, each of the bit-line connection wires of one of the 3D memory sub-arrays is electrically isolated from any of the bit-line connection wires of the other one of the 3D memory sub-arrays.
[0057] In accordance with some embodiments, a 3D memory array includes a semiconductor substrate, a plurality of 3D memory sub-arrays that are formed over the semiconductor substrate and that are arranged in an X-axis direction, and an interconnecting feature that is formed over the semiconductor substrate, and that interconnects two of the 3D memory sub-arrays. For each of the 3D memory sub-arrays, the 3D memory sub-array includes a plurality of memory cells that are distributed in multiple columns extending in a Y-axis direction and arranged in the X-axis direction, a plurality of bit lines that extend in a Z-axis direction, a plurality of source lines that extend in the Z-axis direction, and a plurality of word lines that extend in the Y-axis direction, where the X-axis direction, the Y-axis direction and the Z-axis direction are transverse to each other; each of the memory cells includes a first electrode, a second electrode and a gate electrode; in each of the columns of the memory cells, the memory cells are distributed in multiple layers that are arranged in the Z-axis direction; each of the bit lines interconnects the first electrodes of some of the memory cells aligned in the Z-axis direction; each of the source lines interconnects the second electrodes of some of the memory cells aligned in the Z-axis direction; each of the word lines interconnects the gate electrodes of some of the memory cells aligned in the Y-axis direction; and each of the bit lines is electrically connected to another one of the bit lines, which is aligned with the bit line in the X-axis direction, of the 3D memory sub-array. For any two of the 3D memory sub-arrays, each of the bit lines of one of the 3D memory sub-arrays is electrically isolated from the bit lines of the other one of the 3D memory sub-arrays. The interconnecting feature has multiple metal layers and multiple isolation layers that are alternately stacked together in the Z-axis direction.
[0058] In accordance with some embodiments, each of the 3D memory sub-arrays includes multiple word-line regions and multiple cell regions that are alternately arranged in the X-axis direction, and that cooperatively form the memory cells. For each of the 3D memory sub-arrays, each of the word-line regions has a stack structure composed of multiple metal layers and multiple isolation layers that are alternately stacked together in the Z-axis direction; each of the cell regions includes a gate dielectric feature formed on a sidewall of one of the word-line regions that is adjacent to the cell region, and a channel feature formed on the gate dielectric feature; and the channel feature is in contact with one of the bit lines and one of the source lines.
[0059] In accordance with some embodiments, the interconnecting feature has a same structure as one of the word-line regions.
[0060] In accordance with some embodiments, the interconnecting feature includes multiple interconnecting word-line regions and at least one dummy cell region that are alternately disposed in the X-axis direction. Each of the interconnecting word-line regions has a same structure as one of the word-line regions of the 3D memory sub-arrays. Each of the at least one dummy cell region has a same structure as one of the cell regions of the 3D memory sub-arrays.
[0061] In accordance with some embodiments, the 3D memory array further includes two columns of dummy memory cells that sandwich the 3D memory sub-arrays and the interconnecting feature therebetween in the X-axis direction.
[0062] In accordance with some embodiments, the 3D memory array further includes a staircase feature that is connected to and surrounds the 3D memory sub-arrays and the interconnecting feature.
[0063] In accordance with some embodiments, the staircase feature includes multiple metal layers and multiple isolation layer that are alternately stacked together in the Z-axis direction, and the metal layers are formed with a plurality of word-line extensions that are electrically connected to the word lines of the 3D memory sub-arrays, respectively.
[0064] In accordance with some embodiments, each of the word-line extensions extends outside of an area covered by any of the isolation layer(s) of the staircase feature disposed over the word-line extension.
[0065] In accordance with some embodiments, a method for forming a 3D memory array is provided. In one step, multiple isolation layers and multiple sacrificial layers are deposited to be alternately stacked in a Z-axis direction on a substrate to form a stack feature. In one step, a plurality of trenches are formed in the stack feature. The sacrificial layers are replaced with metal to form a plurality of word lines that extend in a Y-axis direction perpendicular to the Z-axis direction. In one step, a gate dielectric layer and a channel layer are conformally formed in the trenches. In one step, multiple bit lines and multiple source lines are formed to extend in the Z-axis direction in the trenches. The bit lines and the source lines cooperate with the word lines, the gate dielectric layer and the channel layer to form a plurality of memory cells that are distributed in multiple columns extending in the Y-axis direction and equidistantly arranged in an X-axis direction perpendicular to the Y-axis direction and the Z-axis direction. In one step, a plurality of first bit-line connection wires are formed to extend in the X-axis direction and are arranged in the Y-axis direction, and a plurality of second bit-line connection wires are formed to extend in the X-axis direction, and are arranged in the Y-axis direction. The second bit-line connection wires are spaced apart from the first bit-line connection wires in the X-axis direction, and are electrically isolated from the first bit-line connection wires. Each of the memory cells includes a first electrode, a second electrode and a gate electrode. In each of the columns of the memory cells, the memory cells are distributed in multiple layers that are arranged in the Z-axis direction. Each of the bit lines interconnects the first electrodes of some of the memory cells aligned in the Z-axis direction. Each of the source lines interconnects the second electrodes of some of the memory cells aligned in the Z-axis direction. Each of the word lines interconnects the gate electrodes of some of the memory cells aligned in the Y-axis direction. Each of the first bit-line connection wires interconnects some of the bit lines that are aligned in the X-axis direction. Each of the second bit-line connection wires interconnects some of the bit lines that are aligned in the X-axis direction.
[0066] In accordance with some embodiments, after depositing the isolation layers and the sacrificial layers, the stack feature is etched to form a staircase feature, and the memory cells are connected to and surrounded by the staircase feature
[0067] The foregoing outlines features of several embodiments so that those skilled in the art may better understand the aspects of the present disclosure. Those skilled in the art should appreciate that they may readily use the present disclosure as a basis for designing or modifying other processes and structures for carrying out the same purposes and/or achieving the same advantages of the embodiments introduced herein. Those skilled in the art should also realize that such equivalent constructions do not depart from the spirit and scope of the present disclosure, and that they may make various changes, substitutions, and alterations herein without departing from the spirit and scope of the present disclosure.