Semiconductor devices are used in a variety of electronic applications, such as personal computers, cell phones, digital cameras, and other electronic equipment. Semiconductor devices are typically fabricated by sequentially depositing insulating or dielectric layers, conductive layers, and semiconductive layers over a semiconductor substrate, and patterning the various material layers using lithography and etching to form circuit components and elements thereon. Dozens or hundreds of integrated circuits are typically manufactured on a single semiconductor wafer, and individual dies on the wafer are singulated by sawing between the integrated circuits along scribe lines. The individual dies are typically packaged separately, in multi-chip modules, or in other types of packaging, for example. Issues related to thermal management and heat removal from semiconductor packages present challenges requiring new structures and techniques for efficient thermal energy management.
Aspects of this 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.
The following disclosure provides many different embodiments, or examples, for implementing different features of the provided subject matter. 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.
Further, spatially relative terms, such as “beneath,” “below,” “lower,” “above,” “upper,” 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. Unless explicitly stated otherwise, each element having the same reference numeral is presumed to have the same material composition and to have a thickness within a same thickness range.
Typically, in a semiconductor package, a number of semiconductor integrated circuit (IC) dies (i.e., “chips”) may be mounted onto a common substrate. The semiconductor package typically includes a housing that encloses the IC dies to protect the IC dies from damage. The housing may also provide heat dissipation from the semiconductor package. In some cases, the semiconductor package may include a package lid that may include a thermally-conductive material (e.g., a metal or metal alloy, such as copper). The package lid may be located over the IC dies. Heat generated by the IC dies may be transferred from the upper surfaces of the IC dies into the package lid and may be ultimately dissipated to the environment. The heat may optionally be dissipated through a heat sink that may be attached to or may be integrally formed with the lid or through other components of the semiconductor package. Package lids made of a single metal (e.g., copper), however, may not be configured to efficiently remove heat in situations in which the heat sources generate a non-uniform spatial distribution of heat flux. In such situations, hot spots may be generated that may cause damage to semiconductor devices.
An embodiment thermal interface material may provide advantages in that complementary properties of thermal conductivity and adhesive characteristics may be optimized by an appropriate chose of relative proportions and sizes of a first component and a second component. In this regard, the second component may have a higher thermal conductivity and may have lower surface roughness while the first component may have higher surface roughness but may have better adhesive properties. The lower surface roughness of the second component may improve heat transfer between semiconductor dies and a package lid while the adhesive properties of the first component may allow the thermal interface material to be adhered to one or more of the semiconductor dies and the package lid without the use of additional adhesives, in some embodiments. As such, the embodiment thermal interface material, which may have a multi-layer structure, may have advantages over thermal interface materials having only a single component.
An embodiment thermal interface material may include a first component having a first thermal conductivity that is between 20 W/cm·K and 30 W/cm·K and a second component having a second thermal conductivity that is between 30 W/cm·K and 40 W/cm·K. Each of the first component and the second component may include a thermally conductive material including one or more of graphite, graphene, carbon nanotubes, a metal, and a phase change material. For example, each of the first component and the second component may include graphite dispersed within a polymer matrix that may include one or more of a hydrogenated hydrocarbon resin, polybutene, polyisobutylene, and an acrylic acid ester copolymer. According to an embodiment, the first component may include 40 wt % to 60 wt % graphite and the second component may include 60 wt % to 70 wt % graphite.
A further embodiment thermal interface material may include a planar shape extending along a width direction, a length direction, and a thickness direction, and a multi-layer structure including alternating layers of a first component and a second component stacked along the width direction such that interfaces between adjacent layers are perpendicular to the width direction and extend in the length direction and the thickness direction. Each of the first component and the second component may include a thermally conductive material including one or more of graphite, graphene, carbon nanotubes, a metal, and a phase change material. For example, the first component may include 40 wt % to 60 wt % of graphite dispersed in a first polymer matrix and the second component may include 60 wt % to 70 wt % of graphite dispersed in a second polymer matrix. One or both of the first polymer matrix and the second polymer matrix may include one or more of a hydrogenated hydrocarbon resin, polybutene, polyisobutylene, and an acrylic acid ester copolymer.
An embodiment method of manufacturing a thermal interface material may include forming a stack of alternating layers of a first component and a second component stacked along a first direction such that interfaces between adjacent alternating layers are perpendicular to the first direction and extend along a second direction and a third direction. The first component may include a first thermal conductivity that is between 20 W/cm·K and 30 W/cm·K, and the second component may include a second thermal conductivity that is between 30 W/cm·K and 40 W/cm·K. The method may further include performing a compression operation to compress the stack of alternating layers so that adjacent layers adhere to one another to form a bulk thermal interface material, and slicing the bulk thermal interface material along planes perpendicular to the first direction, the second direction, and the third direction to generate a planar shape extending along a width direction, a thickness direction, and a length direction, such that the width direction corresponds to the first direction, the thickness direction corresponds to the second direction, and the length direction corresponds to the third direction.
Each of the first semiconductor dies 102 may be formed by placing chips on a semiconductor wafer level. These three-dimensional devices may provide improved integration density and other advantages, such as faster speeds and higher bandwidths, due to a decreased length of interconnects between the stacked chips. In some embodiments, one of the first semiconductor dies 102 may also be referred to as a “first die stack.” In some embodiments, each of the first semiconductor dies 102 may be dies or chips, such as logic dies, power management dies, voltage regulator dies, etc.
In the semiconductor package structure 100 of
In the embodiment shown in
Referring again to
The conductive interconnects may distribute and route electrical signals between IC semiconductor devices (e.g., first semiconductor dies 102 and second semiconductor dies 104) and a package substrate 110. Thus, the interposer 108 may also be referred to as redistribution layers (RDLs). A plurality of first metal bumps 112, such as micro-bumps, may electrically connect conductive bonding pads on the bottom surfaces of the first semiconductor dies 102 and second semiconductor dies 104 to the conductive bonding pads on the upper surface of the interposer 108.
In one non-limiting embodiment, first metal bumps 112 in the form of micro-bumps may include a plurality of first metal stacks, such as a plurality of Cu—Ni—Cu stacks, located on the bottom surfaces of the first semiconductor dies 102 and the second semiconductor dies 104. A corresponding plurality of second metal stacks (e.g., Cu—Ni—Cu stacks) may be located on the upper surface of the interposer 108. A solder material, such as tin (Sn), may be located between respective first and second metal stacks to electrically connect the first semiconductor dies 102 and the second semiconductor dies 104 to the interposer 108. Other suitable materials for the first metal bumps 112 are within the contemplated scope of this disclosure.
A first underfill material portion 114 may be provided in the spaces surrounding the first metal bumps 112 and between the bottom surfaces of the first semiconductor dies 102, the second semiconductor dies 104, and the upper surface of the interposer 108. The first underfill material portion 114 may also be provided in the spaces laterally separating adjacent die stacks (i.e., first semiconductor dies 102 and second semiconductor dies 104) of the semiconductor package structure 100. Thus, the first underfill material portion 114 may extend over side surfaces of the first semiconductor dies 102 and/or the second semiconductor dies 104, as shown in
The interposer 108 may be located on a package substrate 110, which may provide mechanical support for the interposer 108 and the IC semiconductor devices (e.g., first semiconductor dies 102 and second semiconductor dies 104) that are mounted thereon. The package substrate 110 may include a suitable material, such as a semiconductor material (e.g., a semiconductor wafer, such as a silicon wafer), a ceramic material, an organic material (e.g., a polymer and/or thermoplastic material), a glass material, combinations thereof, etc. Other suitable substrate materials are within the contemplated scope of this disclosure.
In various embodiments, the package substrate 110 may include a plurality of conductive bonding pads in an upper surface of the package substrate 110. A plurality of second metal bumps 116, such as C4 solder bumps, may electrically connect conductive bonding pads on the bottom surface of the interposer 108 to the conductive bonding pads on the upper surface of the package substrate 110. In various embodiments, the second metal bumps 116 may include a suitable solder material, such as tin (Sn).
A second underfill material portion 118 may be provided in the spaces surrounding the second metal bumps 116 and between the bottom surface of the interposer 108 and the upper surface of the package substrate 110. In various embodiments, the second underfill material portion 118 may include an epoxy-based material, which may include a composite of resin and filler materials. The second underfill material portion 118 may be the same material as the first underfill material portion 114 or may be a different material.
A package lid 120 may be disposed over the upper surfaces of the IC semiconductor devices (e.g., the first semiconductor dies 102 and the second semiconductor dies 104). The package lid 120 may also laterally surround the IC semiconductor devices (e.g., the first semiconductor dies 102 and the second semiconductor dies 104) such that the first semiconductor dies 102 and the second semiconductor dies 104 are fully-enclosed by the combination of the package substrate 110 and the package lid 120. In other embodiments, the package lid 120 may only partially enclose the first semiconductor dies 102 and the second semiconductor dies 104. For example, the package lid 120 may have one or more vent holes (not shown) to allow moisture and vapors to escape the package lid 120.
The package lid 120 may be attached to an upper surface of the package substrate 110 with an adhesive 122. In various embodiments, the adhesive 122 may be a thermally-conductive adhesive. Other suitable adhesive materials are within the contemplated scope of this disclosure. In some embodiments, the package lid 120 may be integrally formed or may include pieces. For example, the package lid 120 may include a ring portion (not shown) surrounding the first semiconductor dies 102 and the second semiconductor dies 104, a cover portion covering the ring portion, the first semiconductor dies 102, and the second semiconductor dies 104, and an adhesive (not shown) connecting the cover portion to the ring portion.
In some embodiments, a first thermal interface material 124 may be disposed between an upper surface of each of the IC semiconductor devices (e.g., the first semiconductor dies 102 and the second semiconductor dies 104) and an interior surface of the package lid 120. In various embodiments, the first thermal interface material 124 may include a solid or gel-type thermal interface material having a relatively high thermal conductivity. Other suitable materials for the first thermal interface material 124 are within the contemplated scope of this disclosure. In some embodiments, the first thermal interface material 124 may include a single thermal interface material piece covering both the first semiconductor dies 102 and the second semiconductor dies 104, or two or more thermal interface material pieces corresponding to each of the first semiconductor dies 102 and the second semiconductor dies 104.
In some embodiments, a heat sink 126 may be provided on an upper surface of the package lid 120. The heat sink 126 may include fins or other features that may be configured to increase a surface area between the heat sink 126 and a cooling fluid, such as ambient air. In some embodiments, the heat sink 126 may be a separate component that may be attached to an upper surface of the package lid 120, as shown in
In various embodiments, a central region 130 of the semiconductor package structure 100 may be a region of the semiconductor package structure 100 that includes a relatively higher density of the one or more integrated circuit (IC) semiconductor devices, such as the first semiconductor dies 102 and the second semiconductor dies 104, as shown in
In the embodiment of
The concentration of heat generating elements and the hottest portion of the package lid 120 being located in the central region 130 may result in overheating and damage to the semiconductor package structure 100 if the rate of heat loss from the central region 130 of the semiconductor package structure 100 is not sufficiently high. In practice, this means that the package lid 120 may include a material having a very high thermal conductivity, such as copper, which has a thermal conductivity of about 398 W/m·K. As development of semiconductor package structures progresses, however, the heat generated by increasingly more densely packaged IC components may demand new structures and methods for more efficient heat removal.
The first component 206 may be a first composite material that may have a first surface roughness that is between 40 microns and 50 microns, and the second component 208 may be a second composite material that may have a second component having a second surface roughness that is between 3 microns and 4 microns. For example, each of the first component 206 and the second component 208 may include a thermally conductive material dispersed within a polymer matrix. In various embodiments, the thermally conductive material may be one or more of graphite, graphene, carbon nanotubes, a metal, and a phase change material, and the polymer matrix may include one or more of hydrogenated hydrocarbon resin, polybutene, polyisobutylene, and an acrylic acid ester copolymer. Various other conductive materials and polymer matrix materials are within the contemplated scope of the disclosed embodiments. In certain example embodiments, the first component 206 may be a first composite material including graphite dispersed in a polymer matrix material such that the graphite has a weight fraction in a range from approximately 40 wt % to approximately 60 wt %. Similarly, the second component 208 may include a second composite material including graphite dispersed in a polymer matrix material such that the graphite has a weight fraction in a range from approximately 60 wt % to approximately 70 wt %.
The first component 206 and the second component 208 may have complementary properties. For example, the second component 208 may have a higher thermal conductivity (e.g., between 30 W/cm·K and 40 W/cm·K) and may have lower surface roughness (between 3 microns and 4 microns), while the first component 206 may have higher surface roughness (between 40 microns and 50 microns) but may have better adhesive properties. The lower surface roughness of the second component 208 may improve heat transfer between the semiconductor dies (102, 104) and the package lid 120, while the adhesive properties of the first component 206 may allow the thermal interface material 124 to be adhered to one or more of the semiconductor dies (102, 104) and the package lid 120 without the use of additional adhesives. As such, desirable properties of the resulting multi-layer structure 204 may be optimized by an appropriate choice of relative proportions and sizes of the first component 206 and the second component 208, as described in greater detail, below.
In general, performance of the thermal interface material 124 increases with increasing thermal conductivity. For example, a thermal conductivity greater than 20 W/cm K may represent an improvement over existing thermal interface materials. As described above, the thermal conductivity of the composite material may be increased by increasing a weight fraction of graphite. However, the weight fraction of graphite cannot be increased indefinitely because other properties of the material (e.g., adhesive properties, surface roughness) may change in undesirable ways. Through experimentation, the above-quoted ranges (first surface roughness that is between 40 microns and 50 microns, second surface roughness that is between 3 microns and 4 microns, first thermal conductivity that is between 20 W/cm·K and 30 W/cm·K, and second thermal conductivity that is between 30 W/cm·K and 40 W/cm·K) may represent a reasonable tradeoff between complementary properties (thermal conductivity, surface roughness, adhesion) although further optimization may performed through additional variation of relative weight fractions of graphite in the first component 206 and the second component 208.
The solid thermal interface material 124 may have a width 210 that is vertically overlapping (e.g., when seen in a plan view) with a location of one or more of the first semiconductor dies 102 and the second semiconductor dies 104, as shown in
The spatial location, shape, and width of the solid thermal interface material 124 may be configured in various ways, as described in greater detail with reference to
In addition to dissipating heat, the package lid 120 may also be configured to have advantageous structural properties. In this regard, the package lid 120 may provide structural stability to the semiconductor package structure 200. For example, during thermal cycling, the package lid 120 may be configured to reduce or mitigate structural deformations including warping, cracking, interface delamination, etc., that may otherwise be caused due different coefficients of thermal expansion of the various materials of the semiconductor package structure 200. For example, the package substrate 110 may have a coefficient of thermal expansion (CTE) of approximately 14.5 ppm/° C. whereas copper (as used in a package lid such as 120a) has a coefficient of thermal expansion that is approximately 17 ppm/° C. The discrepancy between the coefficient of thermal expansion of the package substrate 110 and, for example, a copper package lid 120a may lead to significant warpage of the semiconductor package structure 200. The solid thermal interface material 124 may provide improved heat transfer between the semiconductor dies (102, 104) and the package lid 120 which may act to provide a more uniform heat distribution such that hot spots may be avoided. As such, the improved thermal heat transfer may help to mitigate thermally-induced structural deformations.
Thermal resistance is a measure of how difficult it is for heat to flow through a material. Thermal resistance is usually expressed in units of degrees Celsius per watt (° C./W). Bulk thermal resistance refers to the resistance to heat flow through a body of material, such as a solid block of metal or the solid thermal interface material 124. Bulk thermal resistance may be determined by the properties of the material, such as its conductivity, density, and specific heat capacity, as well as its size and shape. Contact thermal resistance refers to the resistance to heat flow between two surfaces that are in direct contact with each other. Contact thermal resistance may be determined by the properties of the materials at the interface, as well as the quality of the contact between the surfaces. Factors that can affect contact thermal resistance include the roughness of the surfaces, the presence of any contaminants or defects, and the pressure applied to the surfaces. In general, the thermal resistance of a system is determined by the sum of the bulk and contact thermal resistances of the various materials and interfaces within the system.
As shown in
As described above, however, the polymer matrix of the first component 206 may have other desirable properties. For example, the first component 206 may have adhesive properties that may aid in the adhesion of the first component 206 to surfaces of the package lid 120 and the semiconductor die 102. In this regard, in some embodiments, the first component 206 may be sufficiently adhesive that it may adhere to the package lid 120 and the semiconductor die 102 without the need for the adhesive tape 306 described above. Therefore, as mentioned above, it may be advantageous to form a thermal interface material 124 (e.g., see
The portion of the thermal interface material 124 shown in
According to an embodiment, each of the first component 206 and the second component 208 may include a thermally conductive material including one or more of graphite, graphene, carbon nanotubes, a metal, and a phase change material. For example, the first component 206 may include graphite or carbon fibers 504a having a first density and the second component 208 may have graphite or carbon fibers 504b having a second density. According to an example embodiment, the first component 206 may include a first weight fraction graphite that is in a range from approximately 40 wt % to approximately 60 wt % and the second component 208 may include a second weight fraction of graphite that is in a range from approximately 60 wt % to approximately 70 wt %. In other embodiments, one or both of the first component 206 and the second component 208 may include a non-fibrous carbon component such as pyrolytic graphite (i.e., high density sintered graphite).
Each of the first component 206 and the second component 208 may include a polymer matrix including one or more of a hydrogenated hydrocarbon resin, polybutene, polyisobutylene, an acrylic acid ester copolymer, etc. Various other polymers may be used in the contemplated scope of this disclosure. As described above, various properties of the thermal interface material 124 may be controlled by variation of the composition and widths of the first component 206 and the second component. For example, by varying the composition, the first component 206 may have a first thermal conductivity that is between 20 W/cm·K and 30 W/cm·K and the second component may have a second thermal conductivity that is between 30 W/cm·K and 40 W/cm·K. Mechanical properties, such as surface roughness may also be controlled by varying the composition of the first component 206 and the second component 208. For example, according to an embodiment, the first component 206 may have a first surface roughness that is between 40 microns and 50 microns and the second component 208 may have a second surface roughness that is between 3 microns and 4 microns. Also, as mentioned above, the adhesive properties of the first component 206 and the second component 208 may depend on the composition of the polymer matrix as well as on the density of the thermally conducting material that is dispersed therein. The lower surface roughness of the second component 208 may improve the thermal conductive properties of the thermal interface material 124 while the relatively greater adhesive properties of the first component 206 may improve the ability of the thermal interface material 124 to adhere to surfaces of the semiconductor dies (102, 104) and the package lid 120.
As shown in
The bulk thermal interface material 610 may then be sliced to form a plurality of thermal interface material 124 sheets, as shown in
A specific width and length of the plurality of thermal interface material 124 sheets may also be generated by slicing the bulk thermal interface material 610 along planes perpendicular to the first direction (i.e., z direction) and the third direction (i.e., the y direction), respectively. As such, the bulk thermal interface material 610 may be sliced along planes perpendicular to the first direction (i.e., the z direction), the second direction (i.e., the x direction), and the third direction (i.e., the y direction) to generate a planar shape extending along a width direction, a thickness direction, and a length direction, respectively, such that the width direction corresponds to the first direction (z), the length direction corresponds to the third direction (y), and the thickness direction corresponds to the second direction (x). In various embodiments, the width and length of the plurality of thermal interface material 124 sheets may be similar, such that the thermal interface material 124 sheets may be rectangular or square shaped.
The method 700 may further include providing the first component 206 as a first composite material including 40 wt % to 60 wt % graphite dispersed in a first polymer matrix and providing the second component 208 as a second composite material including 60 wt % to 70 wt % graphite dispersed in a second polymer matrix. In further embodiments, the method 700 may include providing the first component 206 as a first composite material including a first surface roughness that is between 40 microns and 50 microns and providing the second component 208 as a second composite material including a second surface roughness that is between 3 microns and 4 microns.
The method 700 may further include providing the first component 206 as a first composite material including graphite dispersed in an adhesive polymer matrix such that the first component 206 has adhesive properties and attaching the thermal interface material 124 to one or both of a semiconductor die (102, 104) and a package lid 120. In this regard, the second interface material 124 may be attached to one or both of a semiconductor die (102, 104) and a package lid 120 by placing the thermal interface material 124 in contact with the one or both of the semiconductor die (102, 104) and the package lid 120 such that adhesive surfaces of the first component 206 perpendicular come in contact with and adhere to one or more surfaces of the one or both of the semiconductor die (102, 104) and the package lid 120.
Referring to all drawings and according to various embodiments of the present disclosure, a thermal interface material 124 is provided. The thermal interface material 124 may include a first component 206 including a first thermal conductivity that is between 20 W/cm·K and 30 W/cm·K, and a second component 208 having a second thermal conductivity that is between 30 W/cm·K and 40 W/cm·K. Each of the first component 206 and the second component 208 may include a thermally conductive material including one or more of graphite, graphene, carbon nanotubes, a metal, and a phase change material. For example, each of the first component 206 and the second component 208 may include graphite dispersed within a polymer matrix. The polymer matrix may include one or more of a hydrogenated hydrocarbon resin, polybutene, polyisobutylene, and an acrylic acid ester copolymer. According to some embodiments, the first component 206 may include 40 wt % to 60 wt % graphite, and the second component 208 may include 60 wt % to 70 wt % graphite.
According to various embodiments, the thermal interface material 124 further may have a planar shape (e.g., see
According to a further embodiment, a thermal interface material 124 is provided. The thermal interface material 124 may have a planar shape extending along a width direction (z), a length direction (y), and a thickness 506 direction (x) and may have a multi-layer structure including alternating layers (604a, 604b) of a first component 206 and a second component 208 stacked along the width direction (z) such that interfaces between adjacent layers are perpendicular to the width direction (z) and extend in the length direction (y) and the thickness 506 direction (x). Each of the first component 206 and the second component 208 may include a thermally conductive material including one or more of graphite, graphene, carbon nanotubes, a metal, and a phase change material. In some embodiments, one or both of the first component 206 and the second component 208 may include pyrolytic graphite.
The first component 206 may include 40 wt % to 60 wt % graphite dispersed in a first polymer matrix and the second component 208 may include 60 wt % to 70 wt % graphite dispersed in a second polymer matrix. In some embodiments, one or both of the first polymer matrix and the second polymer matrix may include one or more of a hydrogenated hydrocarbon resin, polybutene, polyisobutylene, and an acrylic acid ester copolymer. Further, the first component 206 may include a first thermal conductivity that is between 20 W/cm·K and 30 W/cm·K and the second component 208 may include a second thermal conductivity that is between 30 W/cm·K and 40 W/cm·K. The first component 206 may have a first surface roughness that is between 40 microns and 50 microns and the second component 208 may have a second surface roughness that is between 3 microns and 4 microns. Further, according to various embodiments, the first component 206 may include graphite dispersed in an adhesive polymer matrix such that the first component 206 has adhesive properties.
As described above, the described embodiment thermal interface materials may provide advantages in that complementary properties of thermal conductivity and adhesive characteristics may be optimized by an appropriate chose of relative proportions and sizes of a first component and a second component. In this regard, the second component may have a higher thermal conductivity and may have lower surface roughness while the first component may have higher surface roughness but may have better adhesive properties. The lower surface roughness of the second component may improve heat transfer between semiconductor dies and a package lid while the adhesive properties of the first component may allow the thermal interface material to be adhered to one or more of the semiconductor dies and the package lid without the use of additional adhesives, in some embodiments. As such, the embodiment thermal interface material, which may have a multi-layer structure, may have advantages over thermal interface materials having only a single component.
The foregoing outlines features of several embodiments so that those skilled in the art may better understand the aspects of this 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 this disclosure, and that they may make various changes, substitutions, and alterations herein without departing from the spirit and scope of the present disclosure.