MAGNETIC RECORDING DISK WITH HIGH INTERNAL STRESS TO REDUCE DISK DEFLECTIONS FROM SHOCK FORCES AND METHODS FOR USE WITH THE DISK
20230110894 · 2023-04-13
Inventors
Cpc classification
G11B5/012
PHYSICS
International classification
G11B5/012
PHYSICS
G11B5/73
PHYSICS
Abstract
Disks for use in hard disk drives (HDD) or other magnetic recording apparatus. The disks are configured based on a finding that internal stress within a disk can make the disk more resistant to shock forces. In one example, a disk is provided that has a substrate with a thickness of no more than 0.5 millimeters and an internal stress no less than 300 megapascals. The relatively high internal stress within the substrate of the disk serves to reduce the magnitude of deflections caused by mechanical shocks to an HDD in which the disk is installed, as compared to other disks of equal thickness but with relatively less internal stress. Multi-platter stacks of the disks are described. Methods are also described for fabricating such disks and for rejecting disks that do not meet certain internal stress-based criteria. Substrates are also described.
Claims
1. A disk for use in a magnetic recording apparatus, comprising: a substrate having a thickness less than or equal to 0.5 millimeters (mm) and an internal stress greater than or equal to 300 megapascals (MPa); and a magnetic recording layer on the substrate.
2. The disk of claim 1, wherein the disk has an un-clamped outer diameter (OD) deviation due to the internal stress that is greater than a flatness deviation threshold.
3. The disk of claim 2, wherein the flatness deviation threshold is 20 microns (.Math.m).
4. A data storage device comprising: a plurality of the disks of claim 2, wherein the plurality of disks is disposed in a stacked configuration, wherein at least one spacer is disposed between each adjacent pair of the disks of the plurality of stacked disks, and wherein the plurality of the disks is clamped together by a clamping mechanism to reduce the OD deviation of each of the disks to less than the flatness deviation threshold.
5. A data storage device comprising: a plurality of the disks of claim 1, wherein the plurality of disks is disposed in a stacked configuration, and wherein at least one additional disk is provided within the stacked configuration, with the additional disk having an internal stress less than 300 MPa.
6. The disk of claim 1, wherein the substrate comprises an aluminum-magnesium (Al—Mg) alloy, and wherein a nickel-phosphorous (NiP) coating layer is between the substrate and the magnetic recording layer.
7. The disk of claim 1, wherein the substrate comprises a glass material that has been subjected to a temperature over 600° C. (C).
8. A disk for a magnetic recording apparatus, comprising: a substrate having a thickness less than or equal to a thickness threshold and having an internal stress greater than or equal to a stress threshold, wherein the stress threshold divided by the thickness threshold squared is equal to a predetermined ratio in the range of 0.96 to 1.44 gigapascals (GPa) per millimeter squared (mm.sup.2); and a magnetic recording layer disposed on the substrate.
9. The disk of claim 8, wherein the predetermined ratio is 1.2 GPa per mm.sup.2.
10. The disk of claim 9, wherein the stress threshold is 300 MPa and the thickness threshold is 0.5 mm.
11. The disk of claim 10, wherein the internal stress is in the range of 300 MPa to 600 MPa and the thickness is no more than 0.5 mm.
12. The disk of claim 9, wherein the stress threshold is 240 MPa and the thickness threshold is 0.45 mm.
13. The disk of claim 12, wherein the internal stress is in the range of 240 MPa to 600 MPa and the thickness is no more than 0.45 mm.
14. The disk of claim 8, wherein the substrate comprises an aluminum-magnesium (Al—Mg) alloy, and wherein first and second nickel-phosphorous (NiP) coating layers are disposed on opposing sides of the substrate, with at least one of the first and second NiP layers disposed between the substrate and the magnetic recording layer.
15. The disk of claim 8, wherein the substrate comprises a glass material that has been subjected to a temperature over 600° C. (C).
16. A data storage device comprising: a plurality of the disks of claim 8, wherein the plurality of the disks is disposed in a stacked configuration, wherein at least one spacer is disposed between each adjacent pair of the disks of the plurality of stacked disks, and wherein the plurality of the disks is clamped together by a clamping mechanism.
17. A method for providing a disk for a magnetic recording apparatus, the method comprising: selecting a substrate having a thickness less than or equal to a thickness threshold and having an internal stress greater than or equal to a stress threshold, wherein the stress threshold divided by the thickness threshold squared is equal to a predetermined ratio in the range of 0.96 to 1.44 gigapascals (GPa) per millimeter squared (mm.sup.2); and forming a magnetic recording layer on the substrate.
18. The method of claim 17, wherein the ratio is 1.2 GPa per mm.sup.2.
19. The method of claim 17 further comprising: stacking a plurality of the disks with at least one spacer disposed between each adjacent pair of the stacked disks of the plurality of stacked disks, and clamping the plurality of the disks together using a clamping mechanism.
20. The method of claim 17, further comprising: fabricating a plurality of the disks, each with a thickness of 0.5 millimeters (mm); determining an internal stress within each of the plurality of the disks; and rejecting at least one of the plurality of disks that has an internal stress less than 300 megapascals (MPa).
21. A substrate for use in a magnetic recording apparatus, the substrate having a thickness less than or equal to a thickness threshold and having an internal stress greater than or equal to a stress threshold, wherein the stress threshold divided by the thickness threshold squared is equal to a predetermined ratio in the range of 0.96 to 1.44 gigapascals (GPa) per millimeter squared (mm.sup.2).
22. The substrate of claim 21, wherein the substrate has an un-clamped outer diameter (OD) deviation due to the internal stress that is greater than a flatness deviation threshold.
23. The substrate of claim 22, wherein the flatness deviation threshold is 20 microns (.Math.m).
24. The substrate of claim 21, wherein the substrate comprises an aluminum-magnesium (Al—Mg) alloy.
25. The substrate of claim 21, wherein the substrate comprises a glass material that has been subjected to a temperature over 600° C. (C).
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION
[0024] In the following description, specific details are given to provide a thorough understanding of the various aspects of the disclosure. However, it will be understood by one of ordinary skill in the art that the aspects may be practiced without these specific details. For example, circuits may be shown in block diagrams in order to avoid obscuring the aspects in unnecessary detail. In other instances, well-known circuits, structures and techniques may not be shown in detail in order not to obscure the aspects of the disclosure.
[0025] Disk rigidity and disk flatness deviation (or disk flatness) may be important properties of a magnetic recording disk for use in an HDD, and providing a disk with sufficient amount of disk rigidity may be important. Sufficient disk rigidity helps ensure that the disk does not vibrate too much during operation (e.g., during spinning). The higher the disk rigidity, the lower the disk vibration. An acceptable disk flatness means there are no significant topographical variations, which can adversely affect the head flying characteristics. A maximum flatness deviation helps ensure that there is not too much variation between the highest point of the disk and its lowest point. Too much flatness deviation may cause the slider (e.g., drive component positioned near the disk to access information stored on the disk) to hit portions of the disk. Thus, in some aspects, HDD disks should (a) satisfy a minimum disk rigidity and (b) the flatness deviation should be lower than a maximum allowable flatness deviation, at least after the disk has been clamped down in the HDD, as in multi-platter HDDs.
[0026] In some applications, a multi-platter HDD may require thin disks, each with a thickness of 0.5 millimeters (mm) for a 10D form factor (e.g., 10 disks within a one inch chassis) and even thinner for 11D or 12D form factors. One challenging problem is to reduce disk deflections of thin disks that occur when mechanical shock forces act on the drive such as, e.g., during a hot swap or, more rarely, if the user drops the drive. (With a hot swap, some drives within a server chassis are operating while one drive is replaced. As such, any bumps to the server during the hot swap can impart shocks to the drives that are operating.) As explained above, disk deflections due to mechanical shocks may exceed a gap between the outer edge of the disk and a load-unload ramp of an HDD, causing damage and potentially preventing the HDD from operating. Thicker disks can have greater rigidity than thinner disks, but thicker disks are often not feasible given the form factor constraints, and so thin disks (e.g., disks with thickness ≤ 0.5 mm) may be needed. Because of the form factor constraints, there is not much room available within an HDD to reduce the risk of damage from disk deflections. Therefore, other methods are needed to ensure that the disk is sufficiently rigid.
[0027] Herein, disks for use in HDDs or other magnetic recording apparatus are described wherein the disks are configured based on a finding that internal stress within a disk can make the disk more resistant to shock forces. For example, disks with higher internal stress will exhibit smaller deflections in response to the same amount of mechanical shock (e.g., in response to the same G-force that may arise if the HDD is dropped by a user).
[0028] In one aspect, a disk is provided for a magnetic recording apparatus with the disk having a substrate with a thickness of no more than 0.5 mm and an internal stress no less than (i.e., greater than or equal to) 300 megapascals (MPa). The relatively high internal stress (≥ 300 MPa) within the substrate serves to reduce the magnitude of deflections caused by mechanical shocks to an HDD in which the disk is installed, as compared to other disks of equal thickness but with relatively less internal stress (< 300 MPa).
[0029] In another aspect, a disk is provided where the disk includes a substrate having a (T) thickness no more than (i.e., less than or equal to) a thickness threshold (T.sub.threshold) and having an internal stress (S) no less than a stress threshold (S.sub.threshold). T.sub.threshold and S.sub.threshold are such that S.sub.threshold divided by (T.sub.threshold).sup.2 is equal to a predetermined ratio (R). In an illustrative example, R is 1.2 GPa/mm.sup.2, S.sub.threshold is 300 MPa, T.sub.threshold is no more than 0.5 mm, and the internal stress is in the range of 300 MPa to 600 MPa. In another example where R is 1.2 GPa per mm.sup.2, S.sub.threshold is 240 MPa and T.sub.threshold is no more than 0.45 mm, the internal stress is in the range of 240 MPa to 600 MPa. Thus, a thinner disk (e.g., 0.45 mm) can have an internal stress lower than the internal stress of a thicker disk (e.g., 0.5 mm), while still achieving satisfactory rigidity. Note that the ratio (R) is based on the stress being roughly proportional to the thickness squared and in other examples R may be in the range of 0.96 GPa per mm.sup.2 to 1.44 GPa per mm.sup.2, i.e., 1.2 GPa per mm.sup.2 ± 20%.
[0030] To provide a substrate having high internal stress (e.g., ≥ 300 MPa for a 0.5 mm disk), the substrate may be formed of glass and then subjected to temperatures of 600° C. (C) or more (e.g., during a deposition process used to deposit magnetic recording layers on the substrate). Alternatively, the substrate may be an aluminum-magnesium (Al—Mg) alloy with nickel-phosphorus (NiP) coating (plating) layers deposited on opposing surfaces. By selecting the thickness of the NiP coatings, high internal stress (e.g., ≥ 300 MPa for a 0.5 mm disk) may be achieved within the substrate. Note also that, for Al—Mg disks, internal stress can be added during the annealing process after NiP plating. The annealing temperature may be around 250° C. and the annealing duration about 10 to 30 minutes. If disk movement during the annealing process is limited, disk expansion can generate stress in the disks and some of the stress may remain after the annealing process.
[0031] Thin disks with high internal stress tend to deform or warp due to their high internal stress. For example, an outer diameter (OD) or perimeter of the disk may bend upwardly or downwardly during deposition of layers onto the substrate, resulting in a deformed concave or convex disk. That is, for a given disk thickness (at least for disks less than or equal to 0.5 mm), the deformation or deviation of the OD of the disk from a flat disk profile will likely be greater for a disk with high internal stress than for a similar disk with lower internal stress. In some aspects, the thin disks described herein have internal stress high enough so that the (un-clamped) OD deviation of the disk from a flat disk profile is greater than a predetermined flatness deviation threshold, such as 20 .Math.m. Note that, herein, the term deviation generally refers to an inelastic deformation or warping of the disk that can occur, for example, during deposition of layers onto the substrate due to heat or other factors. The term deflection refers to a kinetic change in the shape of the disk caused by a mechanical shock to an HDD in which the disk is installed. Deflections may be temporary and elastic.
[0032] In an HDD, a clamping mechanism may be used to clamp the outer diameters of a stack of the deformed disks together (with spacers between adjacent disks in the stack) to secure the disks into a platter and also flatten the disks. The disks described herein may be referred to as pre-stressed disks, since the disks already have relatively high internal stress even before a clamping mechanism is applied to the disks. The disks may also be referred to as pre-warped disks since the high internal stress will warp the (unclamped) disks.
[0033] Internal stress can be added to a thin disk that is flat to begin with by applying a clamping force to the flat disk (or to a set of disks in a multi-platter HDD). However, if the internal stress within the disk is relatively low to begin with, the clamping force will add internal stress, but the disk will likely deform due to the externally-applied stress from the clamping mechanism (at least for thin disks, e.g., less than or equal to 0.5 mm), thus resulting in a clamped disk with poor flatness, which can hinder HDD performance. On the other hand, if the internal stress within the disk is relatively high to begin with (e.g., ≥ 300 MPa for a 0.5 mm disk) and the disk is already deformed, the clamping mechanism will not significantly increase the internal stress of the disk but will instead serve to flatten the disk while the disk retains is rigidity. (Note that thick disks often have sufficient rigidity by virtue of their thickness, regardless of their internal stress, and so the considerations described herein regarding internal stress may not present a practical issue for thicker disks (e.g., disks with thicknesses greater than 0.5 mm and, especially, greater than 1.0 mm)).
[0034] Hence, in some aspects, deformed (e.g., concave or convex) disks are intentionally provided where the deformation is due to the disks being thin and pre-stressed. This is done so that, when a clamping force is then applied to the disks in a multi-platter HDD, the disks tend to flatten out while retaining their high internal stress. The high internal stress allows the disks to retain high rigidity (even though the disks are thin) so as to resist OD deflections due to shock forces, yet the clamped disks are also sufficiently flat to provide good recording performance.
[0035] Accordingly, in some aspects, a data storage device is provided that includes a set of stacked recording disks, where each recording disk includes (a) a substrate having a thickness no more than 0.5 mm and an internal stress no less than 300 MPa and (b) a magnetic recording layer configured to store information. At least one spacer is provided between each adjacent recording disk in the set of stacked recording disks. A clamping mechanism is configured to clamp the set of stacked recording disks and the spacers together. In this manner, a multi-platter HDD may be provided wherein the disks are sufficiently rigid to resist OD deflections due to any shocks applied to the HDD while also providing disks that are sufficiently flat to provide for good HDD performance. As explained above, the thin disks may initially be deformed due to their high internal stress, but the clamping mechanism flattens out the disks, while the disks retain their internal stress to provide satisfactory rigidity. These and other features will be described in detail below.
[0036] Still further methods are providing for selecting acceptable disks for use in a HDD based, at least in part, on their internal stress, and for rejecting disks that do not meet certain internal stress-based criteria. The methods are also described in detail below.
Exemplary Disk Drive With Magnetic Recording Media With Pre-Stressed Disks
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[0040] Although not shown in
[0041] In some examples, the substrate 302 has a diameter (i.e., OD) of about 97 mm, a thickness of 0.5 mm, and an internal stress of at least 300 MPa. In other examples, the OD may be 98 mm or 98.1 mm. (Generally speaking, such disks are all referred to as “3.5 inch” disks.) As explained above, the relatively high internal stress within the substrate (≥ 300 MPa) serves to reduce the magnitude of OD deflections caused by mechanical shocks to an HDD in which the disk is installed, as compared to other disks of equal thickness but with relatively less internal stress (< 300 MPa).
[0042] The pre-stressed disk 300 may be deformed due to its high internal stress into a convex or concave shape (shown in
[0043] The thin NiP coating (plating) layers 306 and 310 may be applied to the substrate with a thickness in the range of, e.g., 6 .Math.m to 30 .Math.m. By applying NiP coatings to the substrate within that range of thickness, the NiP tends to pre-stress the substrate 302 to achieve the desired internal stress of at least 300 MPa for the 0.5 mm thick disk. The thickness of the two NiP coatings may differ. A selected amount of internal stress may be achieved by selecting the relative thicknesses of the NiP coatings.
[0044] For disks that have NiP coatings on opposing sides of a substrate (e.g., 306, 310), disk flatness deviations are primarily caused by a stress imbalance, which is proportional to a thickness imbalance (or thickness difference) in the coating layers. The greater the thickness difference between the coating layers, the higher the stress imbalance and hence the greater the internal stress in the substrate and the greater the disk flatness deviation in the disk. Conversely, the smaller the thickness difference between the coating layers, the lower the stress imbalance, and the lower the disk flatness deviation in the disk. The internal stress within the substrate is determined, at least in part, by the differences in thermal expansion rate (e.g., difference in coefficient of thermal expansion (CTE)) between the substrate 302 (e.g., Al—Mg material) and the coating layers (e.g., NiP) 306 and/or 310. Since the expansion rate of the coating layers (e.g., 306, 310) is less than the substrate 302, compressive stress usually arises within the substrate 302 leading to an increase in internal stress. In this manner, the amount of internal stress within a substrate can be controlled based on the thickness of the NiP coatings.
[0045] Although
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[0047] Although not shown in
[0048] As with disk 300, disk 400 may be deformed due to its high internal stress into a convex or concave shape (shown in
[0049] Turning now to
[0050] Accordingly, it is desirable that the substrate be sufficiently flat (at least after clamping is applied) so the magnetic recording layers of the substrate can be well-suited for reliable high density data storage. Note that flatness is not necessarily a localized geometrical feature of a disk. The entire disk may have a concave, convex, saddle, or cylindrical shape. Such macroscopic variations can give an undesirable flying trajectory to a magnetic head/slider. A clearance between the OD edge of a disk and the load/unload ramp may also be compromised and thus reduce the tolerance to the shock events, where the OD edge moves due to the vibration and hits the ramp material. If this happens during device operation, the disk edge can generate wear debris and such can trigger a head crash and/or signal erasures. In some aspects, a flatness metric can be determined for the substrate that quantifies the aforementioned flatness deviations. In some examples, it is desirable that the glass-based substrate have a flatness metric (at least after clamping) that is low and, for example, below 20 .Math.m. Note that surface flatness metrics are well-known and may represent, e.g., flatness in terms of deviations in a surface in microns from a perfectly flat surface, with a smaller flatness value representing a better or flatter surface and with a larger flatness value representing a poorer or more jagged or deformed surface.
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[0053] Note that disks with high internal stress are more suitable to be positioned at the bottom or top of a disk stack than in the middle (see,
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[0056] At block 810, the system determines or computes (or looks up from a database) the internal stress within each of the set of the candidate disks. For example, the system may measure the thickness (T) of a candidate disk, which may be, e.g., 0.5 mm, and then apply the formula S = R * T.sup.2 or other suitable formulae to estimate the internal stress (S) within the candidate disk using R = 1.2 GPa/mm.sup.2 or other values in the range of 0.96 GPa/mm.sup.2 to 1.44 GPa/mm.sup.2, i.e., 1.2 GPa per mm.sup.2 ± 20%. In some examples, the system (or operators controlling or programming the system) selects, chooses or otherwise determines a particular value for R within that range so that the formula may then be applied using the particular value for R. Otherwise routine experimentation may be employed to determine or select particular values for R within the range based, for example, on an analysis of particular compounds within the substrate. In some examples, the system may look up pre-stored internal stress values for different disk thickness values from a table. Still further, if equipped with a suitable device for measuring internal stress, the device may be applied to the candidate disk to measure the stress. Depending upon the material, exemplary non-destructive techniques for measuring internal stress include, for example, strain gauge techniques, X-ray diffraction, magnetic-elastic techniques, neutron diffraction methods, and ultrasound methods. Those skilled in the art can select among those or other suitable techniques based on the materials of the disk.
[0057] At block 815, the system rejects candidate disks that have an internal stress less than a stress threshold S.sub.threshold (e.g., 300 MPa for a 0.5 mm thick disk or 240 MPa for a 0.45 mm thick disk). Note here that, whereas some fabrication or selection procedures or systems might reject disks having significant OD deviations because the disks are considered too warped or deformed to be useful, the system and procedure of
[0058] Although
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[0060] The recording disks 917 are stacked and secured to a hub 923, which is coupled to a spindle shaft 918. In an aspect, the top and bottom surfaces of each disk of the recording disks 917 may individually be used as information recording surfaces, and an individual magnetic head on a slider (e.g., slider 108 in
[0061] The hub 923 may have a cylindrical shape/portion 923a. The recording disks 917 may each have a central hole or central opening configured to fit on the cylindrical portion 923a of the hub 923. The hub 923 also includes a perimetric portion 923b and a connecting portion 923c that extends outwardly from the cylindrical portion 923a. The perimetric portion 923b supports the lowermost recording disk 917-C. A first ring-shaped spacer 924-1 is disposed on top of recording disk 917-C. Recording disk 917-B is on top of first ring-shaped spacer 924-1, and a second-ring shaped spacer 924-2 is disposed on top of recording disk 917-B. Recording disk 917-A is on top of second-ring shaped spacer 924-2. In
[0062] The recording disks 917 may be secured to the hub 923 by a top clamp 921 placed at the top of the hub 923, and therefore, may secure recording disk 917-A, with a downward force opposing the upward force/support provided by the perimetric portion 923b of the hub 923, from an upper portion of the data storage device 900. The top clamp 921 and the hub 923 may be secured together using one or more screws 922, each providing a torque of 40 cNm, which may also secure the recording disks 917 to the spindle shaft 918. For example, if six screws 922 are used, then the screws 922 may be disposed at intervals of 60 degrees, dividing the angle of 360° degrees of the circumference of a recording disk 917 into six parts. As already explained, the clamping force flattens out the disks to reduce deformations arising within the thin disks during disk fabrication, while the disks retain their high internal stress so as to retain the rigidity associated with the high internal stress, to minimize OD deflections.
[0063] In some aspects, the hub 923 may be made of stainless steel. However, the hub 923 may also be made of aluminum or an aluminum alloy according to some other aspects. In an aspect, the top clamp 921 may be made of stainless steel, for example. The clamping force may be obtained from a tightening force used to tighten the screws 922 that presses on a clamp portion 917a of disk 917-A and a clamp portion 917b of disk 917-C, in part from the perimetric portion 923b, and thereby secure the disks 917 to the hub 923 at upper and lower portions of the data storage device. The hub 923 is secured to the spindle shaft 918, which is the axis of rotation of the spindle motor 925. The top clamp 921 is secured by tightening the screws 922 into the hub 923. As shown in
[0064] A radius of the cylindrical portion 923a of the hub 923 that passes through center holes of the recording disks 917-A, 917-B, and 917-C may be smaller than a radius of a perimetric portion 923b which holds the recording disk 917-C from the lower portion of the data storage device 900. Likewise, a radius at which screwing positions 921a are disposed in the top clamp 921 may be smaller than a radius of a perimetric portion 921b which holds the recording disk 917-A from the upper portion of the data storage device 900. The screwing positions 921a and the perimetric portion 921b of the top clamp 921 may be integrally formed in a stainless-steel member (e.g., top clamp 921), and the thickness of a connecting portion 921c may be L1. The cylindrical portion 923a and the perimetric portion 923b of the hub 923 may also be integrally formed in a stainless-steel member, and the thickness of a connecting portion 923c may be L2.
Additional Examples and Embodiments
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Additional Aspects and Considerations
[0072] It shall be appreciated by those skilled in the art in view of the present disclosure that although various exemplary fabrication methods are discussed herein with reference to magnetic recording disks, the methods, with or without some modifications, may be used for fabricating other types of recording disks, for example, optical recording disks such as a compact disc (CD) and a digital-versatile-disk (DVD), or magneto-optical recording disks, or ferroelectric data storage devices.
[0073] Various components described in this specification may be described as “including” or made of certain materials or compositions of materials. In one aspect, this can mean that the component consists of the particular material(s). In another aspect, this can mean that the component comprises the particular material(s).
[0074] The word “exemplary” is used herein to mean “serving as an example, instance, or illustration.” Any implementation or aspect described herein as “exemplary” is not necessarily to be construed as preferred or advantageous over other aspects of the disclosure. Likewise, the term “aspects” does not require that all aspects of the disclosure include the discussed feature, advantage or mode of operation. The term “coupled” is used herein to refer to the direct or indirect coupling between two objects. For example, if object A physically touches object B, and object B touches object C, then objects A and C may still be considered coupled to one another—even if they do not directly physically touch each other. It is further noted that the term “over” as used in the present application in the context of one component located over another component, may be used to mean a component that is on another component and/or in another component (e.g., on a surface of a component or embedded in a component). Thus, for example, a first component that is over the second component may mean that (1) the first component is over the second component, but not directly touching the second component, (2) the first component is on (e.g., on a surface of) the second component, and/or (3) the first component is in (e.g., embedded in) the second component. The term “about ‘value X’”, or “approximately value X”, as used in the disclosure shall mean within 10 percent of the ‘value X’. For example, a value of about 1 or approximately 1, would mean a value in a range of 0.9-1.1. In the disclosure various ranges in values may be specified, described and/or claimed. It is noted that any time a range is specified, described and/or claimed in the specification and/or claim, it is meant to include the endpoints (at least in one embodiment). In another embodiment, the range may not include the endpoints of the range.