HIGH-QUALITY, SINGLE-CRYSTALLINE SILICON-GERMANIUM FILMS
20190013200 ยท 2019-01-10
Inventors
- Max G. Lagally (Madison, WI)
- Thomas Francis Kuech (Madison, WI, US)
- Yingxin Guan (Madison, WI, US)
- Shelley A. Scott (Madison, WI, US)
- Abhishek Bhat (Madison, WI, US)
- Xiaorui Cui (Middleton, WI, US)
Cpc classification
H01L29/1054
ELECTRICITY
H01L31/035254
ELECTRICITY
H01L29/161
ELECTRICITY
H01L31/109
ELECTRICITY
H01L21/02694
ELECTRICITY
H01L21/7813
ELECTRICITY
H01L29/165
ELECTRICITY
H01L29/7378
ELECTRICITY
H01L21/0262
ELECTRICITY
H01L29/7782
ELECTRICITY
H01L29/7786
ELECTRICITY
H01L31/1892
ELECTRICITY
C30B29/68
CHEMISTRY; METALLURGY
International classification
H01L21/02
ELECTRICITY
H01L21/78
ELECTRICITY
C30B29/68
CHEMISTRY; METALLURGY
Abstract
High-quality, single-crystalline silicon-germanium (Si.sub.(1-x)Ge.sub.x) having a high germanium content is provided. Layers of the high-quality, single-crystalline silicon-germanium can be grown to high sub-critical thicknesses and then released from their growth substrates to provide Si.sub.(1-x)Ge.sub.x films without lattice mismatch-induced misfit dislocations or a mosaic distribution of crystallographic orientations.
Claims
1. Single-crystalline silicon-germanium comprising a layer of single-crystalline Si.sub.(1-x)Ge.sub.x, where 0.4x<1, having a thickness of at least 40 nm, wherein the single-crystalline Si.sub.(1-x)Ge.sub.x does not comprise a mosaic distribution of crystallographic orientations and the single-crystalline silicon-germanium is not bonded to a layer of silicon with which it forms an epitaxial interface.
2. The single-crystalline silicon-germanium of claim 1, wherein the layer of single-crystalline Si.sub.(1-x)Ge.sub.x is unstrained.
3. Single-crystalline silicon-germanium comprising a layer of single-crystalline Si.sub.(1-x)Ge.sub.x, where 0.4x<1, having a thickness of at least 40 nm, wherein the single-crystalline Si.sub.(1-x)Ge.sub.x does not comprise a mosaic distribution of crystallographic orientations and the layer of unstrained, single-crystalline Si.sub.(1-x)Ge.sub.x is a free-standing layer.
4. The single-crystalline silicon-germanium of claim 2, wherein the unstrained layer of single-crystalline Si.sub.(1-x)Ge.sub.x is bonded to a host substrate at a non-epitaxial interface.
5. The single-crystalline silicon-germanium of claim 1, wherein the layer of single-crystalline Si.sub.(1-x)Ge.sub.x is strained.
6. The single-crystalline silicon-germanium of claim 5, wherein the strained layer of single-crystalline Si.sub.(1-x)Ge.sub.x is bonded to a host substrate at a non-epitaxial interface that prevents the strain in the layer of single-crystalline Si.sub.(1-x)Ge.sub.x from relaxing.
7. The single-crystalline silicon-germanium of claim 5, wherein the strained layer of single-crystalline Si.sub.(1-x)Ge.sub.x is joined with a layer of a second semiconductor at an epitaxial interface, wherein elastic strain is shared between the layer of single-crystalline Si.sub.(1-x)Ge.sub.x and the layer of the second semiconductor.
8. The single-crystalline silicon-germanium of claim 7, wherein the second semiconductor is a Group III-V semiconductor.
9. The single-crystalline silicon-germanium of claim 8, wherein the Group III-V semiconductor is GaAs.
10. The single-crystalline silicon-germanium of claim 8, wherein the Group III-V semiconductor is GaInP.
11. The single-crystalline silicon-germanium of claim 1, wherein the layer has a thickness of at least 50 nm.
12. The single-crystalline silicon-germanium of claim 1, wherein the layer has a thickness of at least 100 nm.
13. The single-crystalline silicon-germanium of claim 1, wherein the layer has a thickness of at least 500 nm.
14. The single-crystalline silicon-germanium of claim 1, wherein x0.5.
15. The single-crystalline silicon-germanium of claim 1, wherein x0.8
16. The single-crystalline silicon-germanium of claim 1, wherein the layer of single-crystalline Si.sub.(1-x)Ge.sub.x has an area of at least 1 mm.sup.2.
17. The single-crystalline silicon-germanium of claim 1, wherein the layer of single-crystalline Si.sub.(1-x)Ge.sub.x has an area of at least 10 mm.sup.2.
18. The single-crystalline silicon-germanium of claim 1, wherein the layer of single-crystalline Si.sub.(1-x)Ge.sub.x has a thickness in the range from 50 nm to 10 m.
19. The single-crystalline silicon-germanium of claim 1, wherein the layer of single-crystalline Si.sub.(1-x)Ge.sub.x has an rms surface roughness of no greater than 2 nm.
20. The single-crystalline silicon-germanium of claim 1, wherein the layer of single-crystalline Si.sub.(1-x)Ge.sub.x has an rms surface roughness of no greater than 1 nm.
21. An electronic device comprising: a first electrode; a second electrode; and a layer of single-crystalline Si.sub.(1-x)Ge.sub.x, where 0.4x<1, in electrical communication with the first electrode and the second electrode, the layer of single-crystalline Si.sub.(1-x)Ge.sub.x having a thickness of at least 40 nm, wherein the single-crystalline Si.sub.(1-x)Ge.sub.x does not comprise a mosaic distribution of crystallographic orientations and the single-crystalline silicon-germanium is not bonded to a layer of silicon with which it forms an epitaxial interface.
22. Single-crystalline silicon-germanium comprising a layer of single-crystalline Si.sub.(1-x)Ge.sub.x, where 0.4x<1, having a thickness of at least 40 nm, wherein the single-crystalline Si.sub.(1-x)Ge.sub.x does not comprise a mosaic distribution of crystallographic orientations, and further wherein the layer of single-crystalline Si.sub.(1-x)Ge.sub.x forms at least one epitaxial interface with another semiconductor and the concentration of lattice mismatch-induced misfit dislocations at the at least one epitaxial interface is no greater than 110.sup.5 cm.sup.2.
23. The single-crystalline silicon-germanium of claim 22, wherein the concentration of lattice mismatch-induced misfit dislocations at the at least one epitaxial interface is no greater than 110.sup.3 cm.sup.2.
24. The single-crystal silicon-germanium of claim 22, wherein the at least one epitaxial interface is free of lattice mismatch-induced misfit dislocations.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0008] Illustrative embodiments of the invention will hereafter be described with reference to the accompanying drawings, wherein like numerals denote like elements.
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DETAILED DESCRIPTION
[0018] High-quality, single-crystalline silicon-germanium (Si.sub.(1-x)Ge.sub.x) films, including films having commercially practical thicknesses and high germanium contents, are provided. Also provided are methods of forming films of the high-quality, single-crystalline silicon-germanium.
[0019] The high-quality, single-crystalline silicon-germanium films are free of the lattice mismatch-induced misfit dislocations and their associated threading dislocations that would result from the epitaxial growth of the films above their critical thicknesses or from the epitaxial growth of the films on plastically relaxed, compositionally graded growth substrates. The silicon-germanium films also lack the strain variations and small-angle tilt boundaries that characterize films grown on plastically relaxed, compositionally graded growth substrates. The formation of these strain variations in materials grown epitaxially on a plastically relaxed, compositionally graded growth substrate can be explained as follows: when the compositionally graded substrate is plastically relaxed, a non-uniform distribution of misfit dislocations is formed in the growth substrate, which results in a non-uniform strain distribution in the epitaxial layer grown on top. This strain variation can be detected using micro-Raman spectroscopy, as illustrated in Paskiewicz, D. M. et al. Nanomembrane-based materials for Group IV semiconductor quantum electronics. Scientific Reports 4 (2014).
[0020] In addition, the plastic relaxation of the graded growth substrate results in the formation of crystallites having small misorientations with respect to each other, which are observed as small-angle tilt boundaries. These small-angle tilt boundaries are transferred to the epitaxial layer grown on the plastically relaxed substrate. As a result, the epitaxial layer grown on the plastically relaxed substrate is characterized by a mosaic distribution of crystallographic orientations, which can be observed as a crosshatch pattern in a micro-Raman map of the crystalline structure, as described in Paskiewicz, et al. These misfit dislocation-induced, small-angle tilt boundaries that can be detected as a crosshatch pattern in a micro-Raman map of the crystalline structure (referred to herein as small-angle tilt boundaries) are not present in the high-quality, single-crystalline silicon-germanium made by the methods described herein.
[0021] The high-quality, single-crystalline silicon-germanium, which has a (001) orientation, can be grown epitaxially on a sacrificial growth layer having a low lattice mismatch with the Si.sub.(1-x)Ge.sub.x. Using sacrificial growth layers having low lattice mismatches with the silicon-germanium allows for the growth of high-germanium-content, single-crystalline silicon-germanium layers with high critical thicknesses. The sacrificial growth layer may be grown on an underlying support substrate with which it has a low lattice mismatch. After the growth of the Si.sub.(1-x)Ge.sub.x layer is completed, it can be released as an unstrained Si.sub.(1-x)Ge.sub.x film from the sacrificial growth layer and any underlying support substrate by selectively removing the sacrificial growth layer. Alternatively, the Si.sub.(1-x)Ge.sub.x layer can be bonded to a host substrate before being released from its sacrificial growth substrate, whereby the host substrate prevents the elastic relaxation of the strain in the Si.sub.(1-x)Ge.sub.x. As a result, the bonded and transferred Si.sub.(1-x)Ge.sub.x at least partially retains the strain imparted to it by the sacrificial growth substrate.
[0022] In other embodiments, the Si.sub.(1-x)Ge.sub.x film is one layer of a multilayered heterostructure that is grown epitaxially on a sacrificial growth layer. After the growth of the epitaxial heterostructure is completed, it can be released from the sacrificial growth layer, whereby elastically strained layers in the heterostructure partially elastically relax via elastic strain sharing with the other layers in the heterostructure. During elastic stain sharing between the layers, layers that are under a compressive strain become partially relaxed through the introduction of a tensile strain in their adjacent layers, such that the global average strain in the heterostructure is zero.
[0023] Some embodiments of the growth methods use a GaAs support substrate with an overlying Ga.sub.yAl.sub.1-yAs sacrificial growth layer, where 0y<1. The low lattice mismatch between the GaAs, the GaAlAs, and the SiGe allows for the epitaxial growth of high-quality, single-crystalline Si.sub.(1-x)Ge.sub.x on the Ga.sub.yAl.sub.(1-y)As, where 0.8x<1, with critical thicknesses of up to about 230 nm, or greater. Alternatively, a layer of GaAs can be grown epitaxially over the Ga.sub.yAl.sub.(1-y)As sacrificial layer and the Si.sub.(1-x)Ge.sub.x can be grown directly on that layer of GaAs. The Si.sub.(1-x)Ge.sub.x/GaAs bilayer can then be released by the selective removal of the Ga.sub.yAl.sub.(1-y)As sacrificial layer.
[0024] In another embodiment, a sacrificial layer of Ga.sub.zIn.sub.(1-z)P, where 0.75z<0.98 is used as a growth layer for the Si.sub.(1-x)Ge.sub.x. The Ga.sub.zIn.sub.(1-z)P sacrificial layer can be prepared by growing the Ga.sub.zIn.sub.(1-z)P on GaP to a thickness below its critical thickness, etching away the GaP to release the strain in the Ga.sub.zIn.sub.(1-z)P, and then transferring and bonding the Ga.sub.zIn.sub.(1-z)P to a host substrate to provide a growth layer for the Si.sub.(1-x)Ge.sub.x that has an appropriate lattice constant. Over the released, transfer-bonded Ga.sub.zIn.sub.(1-z)P, a layer of Si.sub.(1-x)Ge.sub.x, where 0.2x0.5, can be grown epitaxially to a critical thickness of up to 1 m, or greater. Si.sub.(1-x)Ge.sub.x having a lower critical thickness can be grown for Si.sub.(1-x)Ge.sub.x alloys having germanium contents outside that range.
[0025] Alternatively, a sacrificial layer of Ga.sub.zIn.sub.(1-z)P, where 0.5<z<0.75, can be prepared by growing the Ga.sub.zIn.sub.(1-z)P on GaAs to a thickness below its critical thickness and then etching away the GaAs to release the strain in the Ga.sub.zIn.sub.(1-z)P to provide a growth layer for the Si.sub.(1-x)Ge.sub.x that has an appropriate lattice constant. Over the released Ga.sub.zIn.sub.(1-z)P, a layer of Si.sub.(1-x)Ge.sub.x, where 0.5x0.8, can be grown epitaxially to a critical thickness of up to 1 m, or greater. Si.sub.(1-x)Ge.sub.x having a lower critical thickness can be grown for Si.sub.(1-x)Ge.sub.x alloys having germanium contents outside that range.
[0026] The critical thickness of the Si.sub.(1-x)Ge.sub.x will depend on the germanium content of the silicon-germanium and on the composition of the substrate upon which it is grown. This is illustrated in the graph of
[0027] If the Si.sub.(1-x)Ge.sub.x films are grown on imperfect growth layers that contain misfit dislocations and threading dislocations, those defects may propagate into the growing Si.sub.(1-x)Ge.sub.x layer. Therefore, some embodiments of the Si.sub.(1-x)Ge.sub.x films may contain misfit dislocations and associated threading dislocations, although such dislocations are not induced by the plastic relaxation of strain caused by the lattice mismatch between the growth substrate and the Si.sub.(1-x)Ge.sub.x films during film growth. These dislocation defects, when present, are present at low densities. For example, some embodiments of the Si.sub.(1-x)Ge.sub.x films have misfit dislocation densities and threading dislocation densities of less than 110.sup.5 cm.sup.2. This includes embodiments of the Si.sub.(1-x)Ge.sub.x films having misfit dislocation densities and threading dislocation densities of less than 110.sup.4 cm.sup.2 and further includes embodiments of the Si.sub.(1-x)Ge.sub.x films having misfit dislocation densities and threading dislocation densities of less than 110.sup.3 cm.sup.2.
[0028] The high-quality, single-crystalline silicon-germanium can be formed as large-area, free-standing films with low surface roughnesses. For example, films of the high-quality, single-crystalline silicon-germanium can have a wafer-scale, or larger, area, as measured by the area of the upper surface of the film. This includes films of the high-quality, single-crystalline silicon-germanium that have areas of at least 1 mm.sup.2, at least 10 mm.sup.2, at least 5 cm.sup.2, at least 10 cm.sup.2, at least 50 cm.sup.2, and at least 100 cm.sup.2. The films can be formed as regular geometric shapes (e.g., squares, rectangles, circles, etc.) or irregular shapes. Embodiments of the films of high-quality, single-crystalline silicon-germanium may have a root mean square (rms) roughness of 2.5 nm or lower, 2 nm or lower, 1 nm or lower, 0.6 nm or lower, 0.5 nm or lower, and 0.4 nm or lower, where the rms roughness of the films can be determined based on Atomic Force Microscopy (AFM).
[0029] One embodiment of a method for making the high-quality, single-crystalline silicon-germanium is shown in
[0030] As shown in
[0031] The photoresist is desirably selected such that it renders the released SiGe/photoresist bilayer buoyant in the etchant solution and also induces a tensile strain on the Si.sub.(1-x)Ge.sub.x layer. This has the advantage of flexing the Si.sub.(1-x)Ge.sub.x layer upward toward the surface and away from the bulk of the etchant solution as it is released, so that the exposure of the Si.sub.(1-x)Ge.sub.x to any harmful etching reaction products can be reduced. In addition, by flexing the released portion of the SiGe/photoresist bilayer away from the rest of the heterostructure, the photoresist can help gaseous etching reaction products to escape more easily. Suitable photoresists include electron-beam (E-beam) photoresists, such as novolak-based photoresists, including S1813 available from Dow (Shipley), and acrylate-styrene co-polymer resists, such as ZEP520, a copolymer of -chloromethacrylate and -methylstyrene, available from Zeon Chemicals. Other polymers that render the released SiGe/photoresist bilayer buoyant in the etchant solution and induce a tensile strain on the Si.sub.(1-x)Ge.sub.x layer could also be used.
[0032] The angle and rate at which the heterostructure is introduced and fed into the etchant solution should be designed to allow for the escape of gaseous etchant reaction products from the etch front. This is important because gas bubbles that are trapped between the Si.sub.(1-x)Ge.sub.x and the release layer during the etching process can rupture and create holes in, or otherwise damage, the Si.sub.(1-x)Ge.sub.x. Suitable feed angles include those in the range from 10 to 60, including 15 to 30, wherein the feed angle, , is the angle formed between the surface of the etchant solution and the surface of the heterostructure, as shown in
[0033] An alternative embodiment of a method for making the high-quality, single-crystalline silicon-germanium is shown in
[0034] Although the methods of
[0035] The released Si.sub.(1-x)Ge.sub.x layer (or Ge layer) is a free-standing film (or nanomembrane) in that it does not require a support substrate to provide it with structural integrity and is not fixed to a substrate at an epitaxial interface. As used herein the term epitaxial interface refers to an interface in which the crystallographic orientation of an overlying layer is controlled by that of its underlying layer, such that the two layers have the same lattice constant (i.e., crystalline arrangement), at least in the area of the interface. An epitaxial interface may include strains and stresses at the interface, induced by a lattice mismatch between the two materials. In contrast to such epitaxial interfaces, non-epitaxial interfaces have crystallographic orientations that are independent from (e.g., different from) those of their neighboring layers and are free from lattice mismatch-induced strains and stresses.
[0036] Before or after the Si.sub.(1-x)Ge.sub.x layer (or the Ge layer) has been released from its growth substrate, it can be bonded to a variety of host substrates, including host substrates upon which the Si.sub.(1-x)Ge.sub.x (or Ge) could not be grown epitaxially and/or flexible substrates, such as polymeric substrates. If the released Si.sub.(1-x)Ge.sub.x film or the Ge film is bonded to a flexible host substrate, it can be mechanically stretched and/or compressed after transfer. This is advantageous because it makes it possible to introduce a tensile or compressive uniaxial, biaxial, or shear stain in the material. The host substrate can also be a semiconductor substrate composed of, for example, a Group III-V semiconductor, a Group II-VI semiconductor, or a Group IV semiconductor, such as silicon, germanium, or another Si.sub.(1-x)Ge.sub.x alloy having a different germanium content (i.e., a different x value).
[0037] After a layer of Si.sub.(1-x)Ge.sub.x is released from its sacrificial growth layereither as a single-layer or as part of a multilayered heterostructureone or more additional semiconductor layers can be grown epitaxially on the Si.sub.(1-x)Ge.sub.x. These additional layers may be strained or unstrained, depending upon their lattice mismatch with the Si.sub.(1-x)Ge.sub.x and the strain state of the released Si.sub.(1-x)Ge.sub.x. For example, materials that can be grown over the Si.sub.(1-x)Ge.sub.x include Ge, InGaP, or even a thin layer of Si.
[0038] The high-quality, single-crystalline layers of silicon-germanium and the high-quality, single-crystalline layers of germanium can be incorporated in a variety of electronic devices, including optical and optoelectronic devices. The layers can be incorporated as strain-free layers, as elastic strain sharing sub-layers in a multilayered heterostructure, or as strained layers bonded to a host substrate. For example, the silicon-germanium and/or germanium layers can be incorporated into a quantum well structure for a terahertz radiation source or a terahertz radiation detector. One example of a quantum well structure is composed of alternating layers of Si.sub.(1-x)Ge.sub.x and Ge that provide a series of Ge quantum well layers, each sandwiched between a pair of Si.sub.(1-x)Ge.sub.x barriers. The schematic diagram in
[0039] Other devices into which the high-quality, single-crystalline layers of silicon-germanium and the high-quality, single-crystalline layers of germanium can be incorporated include transistors, including field effect transistors and heterojunction bipolar transistors (HBT), complementary metal oxide semiconductor (CMOS) devices, quantum cascade lasers, tunable light emitters, infrared photodetectors, and other sensors.
[0040] A cross-sectional view of one embodiment of a metal oxide semiconductor field effect transistor (MOSFET) that includes a high-quality, single-crystalline Si.sub.(1-x)Ge.sub.x film is shown in
[0041] A cross-sectional view of one embodiment of an HBT that includes a high-quality, single-crystalline Si.sub.(1-x)Ge.sub.x film is shown in
[0042] A cross-sectional view of one embodiment of a modulation-doped field effect transistor (MODFET) that includes a high-quality, single-crystalline Si.sub.(1-x)Ge.sub.x film is shown in
[0043] The transistors can be fabricated using the epitaxy and transfer printing methods described herein. As a result, the Si.sub.(1-x)Ge.sub.x films in the transistors can be strained, unstrained, or in a strain sharing state with an adjacent layer and they can have an epitaxial or a non-epitaxial relationship with their adjacent layers.
Example
[0044] This example illustrates methods for growing high-quality, single-crystalline germanium on a sacrificial layer, followed by the release and transfer of that layer to a host substrate.
Ge/AlAs/GaAs Heterostructure Growth
[0045] The Ge/GaAs/AlAs heterostructures were grown in a low pressure (0.1 bar) metal-organic vapor phase epitaxy (MOVPE) system. Germane (GeH.sub.4), arsine (AsH.sub.3), triethyl gallium (TEGa) and trimethyl aluminum (TMAl) were employed as the Ge, As, Ga and Al precursors for the growth. Hydrogen was used as the carrier gas with a total flow rate of 0.31 mol/min. The growth temperatures for the AlAs layer and the Ge layer were 750 C. and 565 C., respectively. The thicknesses of the AlAs layer and the Ge layer were 200-1000 nm and 70-100 nm, respectively, as determined by Scanning Electron Microscopy (SEM). The dislocation defect density can be measured by the etch-pit method. The etch-pit method is used to determine the dislocation defect density when this density is in a relatively low range (<110.sup.6 cm.sup.2). (See, D. J. Stirland, The Relationship between Etch Pit Density and Dislocation Density for (001) GaAs, Journal of Crystal Growth, 7 (1986) 493-502.)
Etching
[0046] The sample was first cleaned by acetone and isopropyl alcohol (IPA), followed by a prebake at 100 C. for 60 seconds. A deionized-water (DI) cleaning was not performed, in order to retain the Ge oxide layer that was observed to help in the bond between the sample and photoresist layer.
[0047] The resist was then spun onto the sample, forming a smooth and flexible layer that could keep the nanomembrane (NM) in shape during etching. The compressive stress in the resist layer needed to be well controlled in order to curve the NM from the edge and open access for the etchant. Three resists were tried, including Shipley photoresist 1813, PMMA, and ZEP 520A. All three worked quite well for the process.
[0048] PR 1813 showed the best result for the selected sample and etchant. The recipe used for all resists included spin coating at 4000 rpm for 30 seconds followed by hard baking for 3 minutes at 100 C. (PR 1813) or 90 seconds at 180 C. (PMMA and ZEP).
[0049] Following the photoresist coating, the sample was transferred to a holder for immersion in the etchant solution. An angle of about 20 to the etchant was found to be ideal, with a range from 15-30 degrees yielding comparable results. The etchant used was diluted hydrochloric acid (1:8 37% (vol.) HCl:H.sub.2O). Observations suggest that this allowed for a well-controlled etch, since the surface tension from the liquid was sufficient to float a large-area NM with the help of the resist layer. The etching started from the edge of the sample where the sacrificial layer was etched, and the released template layer was dragged up by the intact resist, floating on the etchant surface and therefore opening the gap between template layer and the substrate that facilitated the circulation of etchant as well as continuous etching. The immersion rate was controlled at around 0.8 mm/hour to provide enough time for the escape of produced gasses from the interface.
[0050] Once the etching was complete, the NM with intact resist floated freely on the surface of the etchant solution, and could be gently picked up by the desired substrate. A soft baking at 70 C. for 30 minutes was then performed in order to evaporate the excess water at the interface between the NM and substrate, so that the bond between the two layers would become relatively strong.
[0051] Suitable solvents, such as acetone and isopropyl alcohol, were subsequently used for photoresist removal. Finally, a hard bake at 100 C. for 60 minutes was done to strengthen the contact between the NM and the substrate.
AFM Characterization
[0052] The surface roughness of both the as-grown and transferred Ge NM was characterized separately by AFM. A Bruker Bioscope Catalyst AFM was operated under tapping mode for a 10 m scan window with a lateral resolution of 20 nm. In the comparison experiment shown in
[0053] The word illustrative is used herein to mean serving as an example, instance, or illustration. Any aspect or design described herein as illustrative is not necessarily to be construed as preferred or advantageous over other aspects or designs. Further, for the purposes of this disclosure and unless otherwise specified, a or an means one or more.
[0054] The foregoing description of illustrative embodiments of the invention has been presented for purposes of illustration and of description. It is not intended to be exhaustive or to limit the invention to the precise form disclosed, and modifications and variations are possible in light of the above teachings or may be acquired from practice of the invention. The embodiments were chosen and described in order to explain the principles of the invention and as practical applications of the invention to enable one skilled in the art to utilize the invention in various embodiments and with various modifications as suited to the particular use contemplated. It is intended that the scope of the invention be defined by the claims appended hereto and their equivalents.