BERYLLIUM OXIDE INTEGRAL RESISTANCE HEATERS

Information

  • Patent Application
  • 20170295612
  • Publication Number
    20170295612
  • Date Filed
    March 07, 2017
    7 years ago
  • Date Published
    October 12, 2017
    7 years ago
  • Inventors
    • Smith; Larry T. (Mayfield Heights, OH, US)
    • Hayes; Samuel J. (Mayfield Heights, OH, US)
  • Original Assignees
Abstract
An integral resistance heater is disclosed. The heater includes a beryllium oxide (BeO) ceramic body having a first surface and a second surface. A heating element is formed from a metal foil or metallizing paint and is printed onto the top or second surface of the beryllium oxide ceramic body.
Description
BACKGROUND

The present disclosure relates to electrical resistance heaters integrated onto or within a ceramic body comprising beryllium oxide (BeO). The integral resistance heaters find particular application in the field of semiconductor fabrication and manipulation, and will be described with particular reference thereto. However, it is to be appreciated that the present disclosure is also amenable to other like applications.


Integral resistance heaters transfer heat energy through a medium more rapidly via conduction (compared to convection or radiation) according to Joule's first law. However, the medium must be electrically insulative or the heater will short out. Most conventional thermally conductive materials are metals, which are electrically conductive and thus would not be suitable as a medium for a direct contact integral heater. Most conventional electrically insulative materials (such as ceramics and glasses) have low thermal conductivity, which would conduct heat poorly.


It would be desirable to provide integral resistance heaters that minimize these problems.


BRIEF DESCRIPTION

Disclosed in various embodiments herein are integral resistance heaters in which a heating element is directly in contact with and bonded to a beryllium oxide (BeO) ceramic body. Beryllium oxide has the unique property of being both electrically insulative and highly thermally conductive.


In some embodiments disclosed herein, the integral resistance heater includes beryllium oxide (BeO) ceramic body having a first surface and a second surface. A heating element is formed from a refractory metallizing layer. The heating element is directly in contact with and bonded to the first surface or the second surface of the BeO ceramic body.


In other embodiments disclosed herein, methods of forming an integral resistance heater include forming a heating element by applying a refractory metallizing paint onto the first surface or the second surface of a BeO ceramic body. In these embodiments, it is generally contemplated that the ceramic body has a large length and width relative to the thickness of the ceramic body.


In yet other embodiments disclosed herein, the integral resistance heater includes a BeO ceramic tube extending between a first terminal and a second terminal. A heating element is formed from a refractory metallizing paint and is applied directly on an exterior surface of the BeO ceramic tube, i.e. on the circumferential surface / sidewall of the tube (rather than the two end surfaces thereon). A first end of the heating element is connected to the first terminal and a second end of the heating element is connected to the second terminal. These terminals can be joined to the BeO ceramic tube by soldering, brazing, or tack welding.


In other embodiments, an integral resistance heater is disclosed for use in a heater pack. The heater pack includes a BeO ceramic top plate. An intermediate BeO ceramic body has a first surface, a second surface, and a heating element formed from a refractory metallizing paint printed onto the first surface or the second surface. A BeO ceramic base plate is also included. The top plate, intermediate ceramic body, and the base plate form a “sandwich”, with the intermediate ceramic body in the middle. A heater terminal extends through the BeO ceramic base plate and connects to the heating element of the intermediate BeO ceramic body. These terminals are joined to the BeO with either solder, or braze, or tack weld, or mechanical screw threads. Finally, at least one power source can be connected to the heater terminal for controlling the heating element according to Ohm's law, and its Volts Alternating Current (VAC) equivalent form P(t)=I(t)V(t).





BRIEF DESCRIPTION OF THE DRAWINGS

The following is a brief description of the drawings, which are presented for the purposes of illustrating the exemplary embodiments disclosed herein and not for the purposes of limiting the same.



FIG. 1 is a top view of an integral resistance heater according to the present disclosure.



FIG. 2 is a top view of a screen for printing a heating element having a spiral pattern.



FIG. 3A is a top view of a first screen for printing a first zone of a dual-zone heating element having a maze pattern.



FIG. 3B is a top view of a second screen for printing a second zone of a dual-zone heating element having a maze pattern.



FIG. 4A is a perspective view of an integral resistance heater having a tubular body.



FIG. 4B is a cross-sectional side view of the tubular heater shown in FIG. 4A.



FIG. 4C is a perspective view of the tubular heater shown in FIG. 4A illustrating the application of metallizing paint for forming a heating element.



FIG. 5 is a 3D model of the components of a heater pack including an integral resistance heater according to the present disclosure.



FIG. 6 is a 3D model of the components of a heater pack including an integral resistance heater according to a second aspect of the present disclosure.



FIG. 7 is a chart showing actual wattage versus temperature for a voltage of about 6VAC to about 44VAC applied to an integral resistance heater according to the present disclosure.



FIG. 8 is a chart showing actual wattage versus temperature for a voltage of 60VAC applied to an integral resistance heater according to the present disclosure.



FIG. 9 is a chart showing resistance versus temperature for a voltage of about 6VAC to about 44VAC applied to an integral resistance heater according to the present disclosure.



FIG. 10 is a chart showing actual wattage versus temperature for an applied voltage of about 40VAC to about 108VAC applied to a dual-zone integral resistance heater according to the present disclosure.



FIG. 11 is a chart showing actual wattage versus temperature for an applied voltage of about 21VAC to about 57VAC applied to a dual-zone integral resistance heater according to the present disclosure.



FIG. 12 is a chart showing actual wattage versus temperature for an applied voltage of about 13VAC to about 121VAC applied to a dual-zone integral resistance heater according to the present disclosure.



FIG. 13 is a chart showing actual wattage versus temperature for an applied voltage of about 7VAC to about 63VAC applied to a dual-zone integral resistance heater according to the present disclosure.



FIG. 14 is a chart showing resistance versus temperature for an applied voltage of about 17.5VAC to about 118VAC applied to a dual-zone integral resistance heater according to the present disclosure.



FIG. 15 is a chart showing foil adhesion for a molybdenum (Mo) and KOVAR heating element bonded to a ceramic body of an integral resistance heater according to the present disclosure.





DETAILED DESCRIPTION

A more complete understanding of the processes and devices disclosed herein can be obtained by reference to the accompanying drawings. These figures are merely schematic representations based on convenience and ease and are, therefore, not intended to indicate relative size and dimensions of the assemblies or components thereof.


The present disclosure may be understood more readily by reference to the following detailed description of desired embodiments and the examples included therein. In the following specification and the claims which follow, reference will be made to a number of terms which shall be defined to have the following meanings.


The singular forms “a,” “an,” and “the” include plural referents unless the context clearly dictates otherwise.


Numerical values in the specification and claims of this application should be understood to include numerical values which are the same when reduced to the same number of significant figures and numerical values which differ from the stated value by less than the experimental error of conventional measurement technique of the type described in the present application to determine the value.


All ranges disclosed herein are inclusive of the recited endpoint and independently combinable (for example, the range of “from 2 grams to 10 grams” is inclusive of the endpoints, 2 grams and 10 grams, and all the intermediate values).


As used herein, approximating language, such as “about” and “substantially,” may be applied to modify any quantitative representation that may vary without resulting in a change in the basic function to which it is related. The modifier “about” should also be considered as disclosing the range defined by the absolute values of the two endpoints. For example, the expression “from about 2 to about 4” also discloses the range “from 2 to 4.” The term “about” may refer to plus or minus 10% of the indicated number. The terms “typical” and “typically” refer to a standard and common practice.


The term “room temperature” refers to a range of from 20° C. to 25° C.


Several terms are used herein to refer to specific patterns. The term “spiral” as used herein refers to a curve on a plane that winds around a fixed center point at a continuously increasing distance from the point. The term “Archimedean spiral” refers to a spiral having the property that any ray originating from the center point intersects successive turnings of the spiral in points with a constant separation distance. The terms “maze” and “labyrinth” refer to a pattern of discontinuous lines and/or curves that are joined together to form a circuit that resemble a set of walls forming a series of different paths between the walls. The term “unicursal” refers to a “maze” or “labyrinth” having a single pathway to the center of the pattern. The term “multicursal” refers to a “maze” or “labyrinth” having multiple (i.e., more than one) pathways to the center of the pattern. The term “zigzag” refers to a pattern in which a single line has abrupt turns such that the line runs back and forth between a first side and a second side, with the line beginning at a first end and ending at a second end.


The terms “top” and “base” are used herein. These terms indicate relative orientation, not an absolute orientation.


Methods for forming integral resistance heaters and the heaters formed therefrom are disclosed. The integral resistance heaters disclosed herein can be used in a heater pack useful in the silicon wafer industry, e.g., during semiconductor fabrication. The integral resistance heater includes a beryllium oxide (BeO) ceramic body and an electrical heating element directly in contact with and bonded to the BeO ceramic body. The heating element may be formed with a metallizing paint, which generally forms a thick film of finely divided refractory metal, upon application to the ceramic body. The BeO ceramic body has a unique combination of being highly thermally conductive and electrically insulative. This permits intimate contact with the heating element without causing electrical shorting thereof. BeO heaters can also be cycled fast (ramp up, cool down) due to the high thermal conductivity. BeO is also a high temperature refractory material. BeO is also electrically insulative and etch-resistant in corrosive atmospheres and corrosive liquids.


Referring now to FIG. 1, an integral resistance heater 100 generally includes a ceramic body 102 made from beryllium oxide (BeO). A heating element 108 is formed on a surface of the ceramic body. For example, the heating element can be printed onto a first surface 104 of the ceramic body, or on a second surface 106 (FIG. 5) of the ceramic body which is located opposite the first surface 104. Also visible here are the two ends 123, 125 of the heating element 108, which will be connected to an electrical source. Also visible are two pass-throughs 127 through which, as further explained with respect to FIG. 5, permit electrical connections to a heating element on an opposite surface of the ceramic body.


The BeO ceramic body 102 is shown in FIG. 1 as having a disc shape. In this disc shape, the first surface and the second surface of the body have a radius that is generally greater than the thickness of the body. However, it should be understood that the BeO ceramic body can have any shape suitable for use as an integral resistance heater. For example, the body can have a rectangular first surface, or the ceramic body can be a tube in which the thickness of the body is greater than the radius thereof.


The heating element of the BeO ceramic body is formed from a paint containing a refractory metallic that is electrically conductive (i.e., a metallizing paint). The metallizing paint can contain either molybdenum (Mo) or tungsten (W), and can contain other ingredients. In some embodiments, the metallizing paint contains “moly-manganese”, which is a mixture of molybdenum, manganese, and glass powders. In some particular embodiments, the metallizing paint contains molybdenum disilicide (MoSi2). Molybdenum disilicide is also highly refractory (m.p. 2030° C.), and can operate up to about 1800° C.


The metallizing paint may be applied using one of several techniques, depending on the shape and size of the BeO ceramic body. These techniques include screen printing, roll coating with a pinstriping wheel, hand painting, air brush spraying, immersion dip, centrifugal coating, and needle painting with syringe. In some particular embodiments, one more layers of metallizing paint are applied by screen-printing, roll coating or air brushing. The metallizing paint can form a thick film that acts as the heating element on the surface of the BeO ceramic body. The desired thickness depends on the resistance required to produce heat from current provided by a power supply as well as other factors. However, thickness alone is not the only factor that drives electrical resistance; the metallizing paint recipe (i.e., the metal to glass ratio) and the amount of sintering (i.e., shrinkage, capillary action of glass, and oxy-redox reactions) also change electrical resistivity. In some embodiments the thickness of the thick film can be typically between about 300 and 900 microinches (7.62 μm to 22.86 μm), but can be decreased or increased with multiple applications of the metallizing paint, in order to achieve the desired electrical resistance required to obey Joule's first law of heating. The metallizing paint can also be applied in patterns for more intricate designs of the heating element, such as the maze pattern 112 illustrated in FIG. 1.


In some particular embodiments, the metallizing paint is applied using a screen printing process to form the heating element. FIG. 2 illustrates a screen 110 used for screen printing. Metallizing paint is used to form a heating element having a spiral pattern 114. In some embodiments, the spiral is an Archimedean spiral. The screen generally comprises a piece of mesh 120 stretched over a frame 118. The desired pattern is formed by masking off parts of the screen in the negative image of the pattern. Put another way, the spiral pattern 114 indicates where the metallizing paint will appear on the BeO ceramic body.


Screen printing can generally include a pre-press process before printing occurs, where an original opaque image of the desired pattern is created on a transparent overlay. A screen having an appropriate mesh count is then selected. The screen is coated with a UV curable emulsion, indicated by shaded area 130. The overlay is placed over the screen and exposed with a UV light source to cure the emulsion. The screen is then washed, leaving behind a negative stencil of the desired pattern on the mesh. The first surface of the BeO ceramic body can be coated with a wide pallet tape to protect from unwanted leaks through the screen which may stain the BeO ceramic body. Finally, any unwanted pin-holes in the emulsion can be blocked out with tapes, specialty emulsions, or block-out pens. This prevents the metallizing paint from continuing through the pin-holes and leaving unwanted marks on the BeO ceramic body.


Printing proceeds by placing the screen 110 atop the first surface or second surface of the BeO ceramic body. The metallizing paint is placed on top of the screen, and a flood bar is used to push the metallizing paint through the holes in the mesh 120. The flood bar is initially placed at the rear of the screen and behind a reservoir of metallizing paint. The screen is lifted to prevent contact with the BeO ceramic body. The flood bar is then pulled to the front of the screen with a slight amount of downward force, effectively filling the mesh openings with metallizing paint and moving the reservoir to the front of the screen. A rubber blade or squeegee is used to move the mesh down to the BeO ceramic body and the squeegee is pushed to the rear of the screen. The metallizing paint that is in the mesh opening is pumped or squeezed by hydraulic action onto the BeO ceramic body in a controlled and prescribed amount. In other words, the wet metallizing paint is deposited proportionally to the thickness of the mesh and/or stencil. During a “snap-off” process, the squeegee moves toward the rear of the screen and tension causes the mesh to pull up and away from the surface of the BeO ceramic body. After snap-off, the metallizing paint is left on the surface of the BeO ceramic body in the desired pattern for the heating element.


Next, the screen can be re-coated with another layer of metallizing paint if desired. Alternatively, the screen may undergo a further dehazing step to remove haze or “ghost images” left behind in the screen after removing the emulsion.


After the metallizing paint has been deposited, sintering can be performed to facilitate a strong, hermetic bond of the metallizing paint to the BeO ceramic body. The non-metallic components in the metallization matrix will diffuse into the grain boundaries of the BeO ceramic body, supplementing its strength. The amount of sintering (i.e., the time and temperature) affects the volumetric composition of the conductive path for electrons. The atmosphere during sintering affects the oxidation and reduction reactions of the metallic and semi-metallic sub-oxides. The sintered layer becomes electrically conductive, allowing subsequent plating of the metallizing layer if desired, but is not necessary for heating. Plating can be performed by electrolytic (rack or barrel) or electroless processes. A variety of materials can be used for plating, including nickel (Ni), gold (Au), silver (Ag) and copper (Cu), although operating temperature and atmosphere should be considered.


The embodiment illustrated in FIG. 2 shows the frame 118 of the screen as being generally a square in shape. In some embodiments, the square frame can have a length and width of about 5 inches×5 inches. The mesh 120 can be a 325 mesh made from stainless steel. The wires of the mesh have a 30 degree bias with respect to the frame. The emulsion 130 has a thickness of about 0.5 mil (0.0127 mm). It should be understood from the present disclosure that such dimensions are only exemplary and that any suitable screen shape and size can be chosen as desired.



FIG. 3A (not to scale) and FIG. 3B (not to scale) illustrate a method of screen printing that uses a first screen 122 to print a first heating element 126. A second screen 124 is then used to print a second heating element 128. In some embodiments, the first heating element can be printed on the first surface 104 of the BeO ceramic body 102 shown in FIG. 1 and the second heating element can be printed on the second surface 106 of the BeO ceramic body (FIG. 5). Both heating elements can be connected to the same terminals or to different terminals, and can be operated together or independently biased.


The first and second heating elements are shown in FIG. 3A and FIG. 3B as having a series of generally concentric circles which form a circular maze or labyrinth pattern. As illustrated here, the first heating element 126 is in the pattern of a unicursal labyrinth, and the second heating element 128 is also in the pattern of a unicursal labyrinth. However, it is contemplated that patterns of a multicursal labyrinth can also be used. In FIG. 3A, the terminals 123, 125 and the pass-throughs 127 are also visible.


In the embodiments illustrated in FIG. 3A and FIG. 3B, the frame 132 can be a square having a length and width of about 10 inches×10 inches. The mesh 120 can be a 325 mesh made from stainless steel. The wires of the mesh have a 30 degree bias with respect to the frame. The emulsion 134 has a thickness of about 1 mil (0.0254 mm).



FIG. 4A and FIG. 4B illustrate an exemplary integral resistance heater 200 having a BeO ceramic body 202 which is tubular in shape. By tubular, it is meant that there is a hollow passageway through the ceramic body, in contrast to a rod which would be solid, or put another way the tubular body can be described as a cylindrical sidewall having a first or exterior surface, and a second or interior surface. The tubular body extends between a first terminal 204 and a second terminal 206 located on opposite ends of the tubular body. In some embodiments, the first and second terminals are made from KOVAR metal or a molybdenum (Mo) metal. These terminals can be joined to the BeO ceramic body by one of soldering, brazing, or tack welding. A heating element 208 is present on the exterior surface 214 of the BeO ceramic body. The heating element can have a helical shape extending the length of the tubular BeO ceramic body. The heating element is connected to the first terminal 204 at a first end 210 and to the second terminal 206 at a second end 212.


Some aspects of the integral resistance heater in FIG. 4A can be seen more clearly in the cross-sectional view illustrated in FIG. 4B. In particular, the BeO ceramic body 202 forms the sidewall, but the terminals 204, 206 form the ends of the resistance heater. Put another way, caps of KOVAR metal or molybdenum metal are placed on the ends of the BeO ceramic body, and joined by one of soldering, brazing or tack welding. In addition, the exterior surface 214 of the BeO ceramic body includes channels in which the heating element 208 is formed. As shown in FIG. 4C, the metallizing paint which forms the heating element 208 is applied by roll coating via a pinstriping applicator 216. The applicator 216 has a wheel 218 loaded with a reservoir in direct contact with the BeO surface 214. The BeO ceramic body 202 can be rotated on a spindle (not shown) to draw the paint from the pinstriping applicator wheel via surface tension.



FIG. 5 shows a heater pack incorporating the integral resistance heaters previously described. The heater pack generally includes a top plate 150, intermediate BeO ceramic body 102, first heating element 108, and base plate 152. The BeO ceramic body 102 is disposed between the top plate and the base plate, and has a first surface 104 and a second surface 106. The first heating element 108 is shown here as being printed onto the first surface of the BeO ceramic body. The first surface 104 is adjacent the base plate 152, and the second surface 106 is adjacent the top plate 150. The second surface of the BeO ceramic body also has a heating element thereon (not visible). Heater terminals 156 extend through the base plate 152 and connect to the first heating element 108 on the first surface of the intermediate BeO ceramic body. It is noted that the same heater terminals could also extend through the intermediate ceramic body to be connected to the second heating element on the second surface, if present. However, here heater terminals 154 connect to the second heating element by solder, braze, tack weld, or mechanical screw thread. Once assembled, the heating elements are embedded between the top plate and the base plate of the heater pack. At least one power source 158 can be connected to either terminals 154, 156, or both wired in series or parallel, for controlling the heating element.


In some embodiments, the heating element is printed onto the first surface of the BeO ceramic body and a second heating element (not visible) is printed onto the second surface to form a dual-zone integral resistance heater. In this regard, the first heating element can be printed using the first screen 122 shown in FIG. 3A. The optional second heating element can be printed using the second screen 124 shown in FIG. 3B.


Second heater terminals 154 are included here when the heater pack incorporates a dual-zone integral resistance heater. The second heater terminals extend through the base plate, also extend through the intermediate body itself, and connect to the second heating element on the second surface 106 of the intermediate BeO ceramic body by any suitable means such as solder, braze, tack weld, or mechanical screw thread. Power source 158 can also be used to control the second heating element via the second heater terminals. Optionally, a second power source (not shown) can be used to control the second heating element via the second heating terminals. The power sources may independently or cooperatively provide a voltage to the heater element(s).


A controller (not shown) may also be included to modulate the voltage signals provided by the power sources and may further convert analog to digital signals for readout on a display means (not shown). Display means may include an LCD, computer monitor, tablet or mobile reader device, and other display means as known by one having ordinary skill in the art. A single, multiple, or redundant thermocouple(s) are in direct surface contact at a desired location on the device, providing a closed loop feedback signal to the controller.


In some embodiments, the top plate 150 is comprised of a layer of ceramic semiconducting material, an electrode layer, and a ceramic BeO layer. The ceramic semiconducting material may include beryllium oxide (BeO) which is doped with titanium dioxide, or titania (TiO2). The layer of ceramic semiconducting material may also include a minor amount of glass eutectic which serves as an adhesive bond, and/or hermetic sealing encapsulation during sintering.


In further embodiments, the base plate 152 may be comprised of a beryllium oxide BeO ceramic layer, similar to the intermediate BeO ceramic body 102. The base plate can include includes holes 162 for the connection to the first heating element via first heating terminals and holes 160 for connection to the second heating element via second heating terminals.


With reference to FIG. 6, a heater pack 300 is shown incorporating an integral resistance heater according to a second aspect of the present disclosure. The heater pack generally includes a top plate 350, a heating element 308, and a base plate 352. The heating element also includes two ends 354 to which heater terminals are connected. The top plate can include a layer of ceramic semiconducting material, an electrode layer, and a ceramic BeO layer similar to top plate 150 of FIG. 5. The base plate can be a beryllium oxide BeO ceramic layer, similar to base plate 152 of FIG. 5. Heater terminals (not shown) can extend through the base plate to connect to the heating element ends 354. The heater pack can also include a power source (not shown) for controlling the heating element via the heater terminals, applying Ohm's law, and its Voltage Alternating Current (VAC) equivalent form P(t)=I(t)V(t).


Here, the heating element 308 is a foil or thin film layer having a general zigzag pattern formed by any suitable method such as etching, die cutting, water jet, or laser cutting. In some embodiments, the heating element 308 may be a foil made from one of a nickel-cobalt ferrous alloy (e.g., KOVAR), molybdenum (Mo), tungsten (W), platinum (Pt), or a platinum-rhodium (PtRh) alloy. The heating element 308 is directly bonded to the surface of the BeO via gas/metal eutectic bond using precisely controlled temperature to produce a transient liquid phase. In other embodments, the heating element is a thin film containing molybdenum and deposited using a physical vapor deposition (PVD) process (e.g., sputter deposition, vacuum evaporation, or so forth).


EXAMPLES
Example 1

A heating element having a resistance of about 4.5 ohms and formed from metallizing paint was embedded 0.040″ below the surface of a 2 inch×2 inch BeO ceramic square plate. A voltage of about 6.5 vdc was applied to the heating element. The heating element drew a current of about 1.44 amps and output about 9W of power. The BeO ceramic plate felt warm to the touch.


Example 2

A dual-zone heating element formed from metallizing paint was embedded inside a BeO disc having a diameter of about 200 mm (7.5″). The first zone is located about 0.068″ below the surface, and the second zone is located about 0.136″ below the surface. The first zone heating element was powered and reached an output of about 501W of power at about 282° C. The second zone heating element was then powered, and the first zone heating element dropped to about 418W of power. The second zone heating element reached an output of about 354W of power at about 458° C. The heating elements exhibited a high temperature resistance coefficient.


Example 3

A voltage range of about 6VAC to 60VAC was applied to the heating element from Example 1 above. The heating element had a starting resistance of 4.2 ohms and the room temperature was 76° F. At about 60VAC, the heating element reached a maximum temperature of about 592° C. and power output of about 228W, respectively. The results are shown below in Table 1.









TABLE 1







Heating Test for 2″ × 2″ BeO Heater.











Applied

Resistance

Actual


Voltage (VAC)
Current (A)
(Ω)
Temp. (° C.)
Wattage (W)














6
1.4
4.3
60
8.4


12
2
6.0
80
24


12
1.9
6.3
90
22.8


12
1.7
7.1
105
20.4


18
2.6
6.9
109
46.8


18
2.5
7.2
120
45


18
2.4
7.5
130
43.2


18
2.3
7.8
145
41.4


18
2.2
8.2
160
39.6


24
2.8
8.6
173
67.2


24
2.7
8.9
183
64.8


24
2.6
9.2
196
62.4


24
2.5
9.6
205
60


32
3.3
9.7
218
105.6


32
3.2
10.0
230
102.4


32
3.1
10.3
240
99.2


32
3
10.7
240
96


32
2.9
11.0
252
92.8


38
3.3
11.5
284
125.4


38
3.2
11.9
291
121.6


38
3.1
12.3
358
117.8


38
3
12.7
375
114


44
3.6
12.2
386
158.4


44
3.5
12.6
389
154


44
3.4
12.9
415
149.6







End first heat test


Second Heat Test, moved thermocouple to different area











60
4.6
13.0
363
276


60
4.5
13.3
375
270


60
4.4
13.6
391
264


60
4.3
14.0
510
258


60
4.2
14.3
541
252


60
4.1
14.6
555
246


60
4
15.0
564
240


60
3.9
15.4
580
234


60
3.8
15.8
592
228









In FIGS. 7-9, actual wattage (W), resistance (ohms, Ω), and temperature (° C.) were plotted for the applied voltages of about 6VAC to about 60VAC from Table 1. As seen in FIG. 7, input voltages of about 6VAC, 12VAC, 18VAC, 24VAC, 32VAC, 38VAC, and 44VAC were plotted. The maximum temperatures at these input voltages were about 60° C., 105° C., 160° C., 205° C., 250° C., 375° C., and 415° C., respectively. The maximum power output at these input voltages was about 8W, 24W, 47W, 67W, 106W, 125W, and 158W, respectively. In FIG. 8, the thermocouple was moved to a different area and actual wattage (W) and temperature (° C.) were plotted for the applied voltage of 60VAC. The maximum temperature was about 592° C. and the maximum power output was about 276W. In FIG. 9, the coefficient of resistance (ohms, Ω) and temperature (° C.) was plotted for the applied voltages from Table 1, FIG. 7, and FIG. 8. The highest resistance at the input voltages of 6VAC, 12VAC, 18VAC, 24VAC, 32VAC, 38VAC, 44VAC, and 60VAC was about 4Ω, 7Ω, 8Ω, 10Ω, 11Ω, 13Ω, 13Ω, and 16Ω respectively.


Example 4

Power was supplied to the dual-zone heating element described according to Example 2 above. A voltage range of about 7VAC to 121VAC was applied in two tests, at the first and second zones. A starting resistance for zone 1, test 1 was about 17.8Ω. Starting resistance for zone 2, test 1 was about 5.9 0. At zone 1, test 2, the starting resistance was about 20.9Ω. Finally, the starting resistance for zone 2, test 2 was about 7.4Ω. The results of the two tests at the first and second zones are shown below in Tables 2-5.









TABLE 2







Heating Test for a Dual-Zone BeO Disc Heater, Zone 1, Test 1











Zone 1 test 1






Applied

Zone 1 test 1

Zone 1 test 1


Voltage
Zone 1 test 1
Resistance
Zone 1 test 1
Actual Watts


(VAC)
Current (A)
(Ohms)
Temp (° C.)
(W)














39.4
2.2
17.8
60
87


39.6
2.2
17.9
62
88


39.8
2.2
18
65
88


40.1
2.2
18.1
67
89


40.4
2.2
18.2
69
90


40.8
2.2
18.4
71
90


40.4
2.2
18.2
73
89


45.7
2.5
18.4
76
113


46.3
2.5
18.6
78
115


45.7
2.5
18.4
80
114


46.5
2.5
18.7
83
115


47.1
2.5
18.9
85
117


46.9
2.5
18.9
88
116


47.4
2.5
19.1
91
118


48.2
2.5
19.4
93
119


48.1
2.5
19.4
96
120


53.5
2.7
19.6
98
146


53.7
2.7
19.7
101
147


54.3
2.7
20
104
148


54.7
2.7
20.1
107
149


54.8
2.7
20.1
110
149


55.7
2.7
20.4
113
152


55.4
2.7
20.4
116
151


56.8
2.7
20.9
118
155


56.6
2.7
20.8
121
155


56.7
2.7
20.8
124
155


57.3
2.7
21
127
157


57.9
2.7
21.2
129
158


57.8
2.7
21.2
132
158


58.1
2.7
21.3
134
159


61.7
2.9
21.6
137
176


61.8
2.9
21.6
140
177


62.7
2.9
21.9
142
179


67.2
3
22.1
145
204


66.5
3
21.9
148
202


67.4
3
22.2
151
205


68.1
3
22.5
154
206


68.7
3
22.7
157
208


68.9
3
22.6
161
209


69.1
3
22.8
164
209


69.6
3
22.9
166
212


70.6
3
23.2
169
215


71.3
3
23.5
172
217


71.6
3
23.6
175
217


71.3
3
23.5
178
216


72.5
3
23.9
180
220


72.3
3
23.8
183
219


73.3
3
24.2
185
222


73.4
3
24.2
187
222


74.3
3
24.5
190
226


74.4
3
24.5
192
226


74.4
3
24.5
194
226


75.3
3
24.8
196
228


75
3
24.7
198
227


76
3
25
200
231


75.9
3
25
202
230


76.2
3
25
204
231


76.5
3
25.1
206
232


76.4
3
25.2
208
232


77.2
3
25.4
210
235


77.3
3
25.5
211
234


78.1
3
25.6
213
237


77.4
3
25.5
214
234


77.9
3
25.6
216
237


77.7
3
25.6
217
236


78.6
3
25.9
219
239


79.3
3
26.1
220
241


79.2
3
26.1
222
240


78.6
3
25.9
223
239


79.7
3
26.2
224
242


79.8
3
26.3
225
242


79.7
3
26.3
227
242


80.4
3
26.5
228
244


79.8
3
26.3
229
242


80.2
3
26.4
230
243


80.8
3
26.6
231
246


80.8
3
26.6
232
246


80.9
3
26.6
233
246


84.6
3.2
26.5
234
270


85.4
3.2
26.7
235
273


85.2
3.2
26.6
237
273


86.4
3.2
26.7
238
277


86
3.2
26.9
240
275


86.6
3.2
27.1
242
277


86.3
3.2
27
243
276


89.3
3.3
27.3
245
293


89.7
3.3
27.4
246
293


89.9
3.3
27.5
248
294


89.9
3.3
27.4
250
295


90.2
3.3
27.5
252
296


90
3.3
27.5
253
294


90.9
3.3
27.8
255
298


91
3.3
27.8
257
298


91.8
3.3
28
258
300


91
3.3
27.8
260
298


92.3
3.3
28.2
261
303


91.9
3.3
28.1
263
301


91.9
3.3
28.1
264
302


92.1
3.3
28.1
265
301


92.6
3.3
28.3
267
304


93.3
3.3
28.5
268
305


93.4
3.3
28.5
269
306


96.2
3.4
28.3
270
326


96.8
3.4
28.6
272
327


97.4
3.4
28.8
273
330


97.2
3.4
28.7
275
330


99.7
3.5
28.8
277
345


99.9
3.5
28.9
278
346


100.5
3.5
29
280
348


100.3
3.5
29.2
282
347


101.3
3.5
29.2
284
350


102.1
3.5
29.5
286
354


102.4
3.5
29.6
287
354


102.2
3.5
29.5
289
354


102.5
3.5
29.6
291
355


103
3.5
29.7
292
356


103.2
3.5
29.8
294
357


103.7
3.5
29.9
295
359


103.8
3.5
30
297
359


103.8
3.5
30
298
359


103.9
3.5
30
299
360


104.5
3.5
30.1
301
361


103.9
3.5
30.3
302
359


104.4
3.5
30.1
303
362


104.7
3.5
30.2
304
362


105.4
3.5
30.4
305
365


105.8
3.5
30.5
306
367


105.1
3.5
30.3
307
364


105.1
3.5
30.4
308
364


105.7
3.5
30.5
309
367


107.8
3.5
30.5
310
382
















TABLE 3







Heating Test for a Dual-Zone BeO Disc Heater, Zone 2, Test 1











Zone 2 test 1






Applied

Zone 2 test 1

Zone 2 test 1


Voltage
Zone 2 test 1
Resistance
Zone 2 test 1
Actual Watts


(VAC)
Current (A)
(Ohms)
Temp (° C.)
(W)














20.9
3.5
5.9
60
74


20.7
3.5
5.8
62
73


21.7
3.6
6.1
65
77


21.1
3.5
5.9
67
75


21.2
3.5
6
69
75


21.4
3.5
6
71
76


21.8
3.5
6.2
73
77


24.4
4
6.1
76
97


24.9
4
6.3
78
99


25.1
4
6.3
80
100


25.1
4
6.3
83
100


25.2
4
6.3
85
100


25.6
4
6.4
88
102


25
4
6.5
91
100


26.1
4
6.5
93
104


26.3
4
6.6
96
105


28
4.4
6.4
98
122


28.1
4.4
6.4
101
123


29.1
4.3
6.7
104
127


29.3
4.4
6.7
107
128


29.5
4.3
6.8
110
128


30.1
4.4
6.9
113
132


29.6
4.4
6.8
116
129


29.9
4.4
6.8
118
131


30.4
4.3
7
121
132


30.2
4.4
6.9
124
132


30.8
4.4
7
127
135


31.3
4.4
7.2
129
136


30.9
4.4
7.1
132
135


31
4.4
7.1
134
136


32.9
4.6
7.2
137
151


33.3
4.6
7.3
140
153


33.5
4.6
7.3
142
153


35.3
4.9
7.2
145
173


35.6
4.9
7.3
148
173


35.9
4.9
7.4
151
175


35.7
4.9
7.3
154
173


36.1
4.9
7.4
157
175


37.2
4.9
7.6
161
181


36.7
4.9
7.6
164
179


37.5
4.9
7.7
166
182


37.2
4.8
7.7
169
180


37.7
4.9
7.7
172
183


38.4
4.8
7.9
175
186


37.6
4.8
7.9
178
182


38.4
4.9
7.9
180
187


38.1
4.8
7.8
183
185


38.4
4.8
7.9
185
186


38.7
4.9
8
187
188


39.2
4.8
8.1
190
190


39.2
4.9
8.1
192
191


39.5
4.8
8.1
194
191


39.6
4.8
8.2
196
192


39.2
4.8
8.1
198
190


39.9
4.9
8.2
200
194


40.1
4.8
8.2
202
194


39.6
4.8
8.2
204
192


40.9
4.9
8.4
206
200


40.7
4.9
8.4
208
198


40.7
4.9
8.4
210
198


40.3
4.8
8.5
211
195


40.6
4.9
8.3
213
198


41.6
4.9
8.6
214
202


41.3
4.9
8.5
216
201


41.7
4.9
8.6
217
203


41.2
4.9
8.5
219
200


41.4
4.9
8.5
220
202


41.4
4.8
8.5
222
201


41.9
4.9
8.6
223
203


41.6
4.9
8.6
224
202


42
4.8
8.6
225
204


42.3
4.9
8.7
227
205


41.8
4.8
8.6
228
203


42.7
4.9
8.8
229
208


42.3
4.9
8.7
230
206


42.5
4.9
8.7
231
207


42.2
4.9
8.7
232
205


42.5
4.9
8.7
233
207


44.3
5.1
8.7
234
226


44.9
5.1
8.8
235
229


45.1
5.1
8.8
237
231


45.6
5.1
8.9
238
234


45.9
5.1
9
240
234


45.2
5.1
8.8
242
231


46.1
5.1
9
243
236


47.3
5.3
9
245
249


47.5
5.2
9.1
246
249


47
5.2
9
248
246


47.2
5.2
9
250
248


47.3
5.2
9
252
248


47.7
5.2
9.1
253
250


47.8
5.2
9.1
255
250


47.4
5.2
9
257
249


48.7
5.2
9.3
258
255


48.3
5.2
9.2
260
253


47.9
5.2
9.2
261
251


48.4
5.2
9.3
263
254


48.6
5.2
9.2
264
255


48.1
5.2
9.2
265
252


49.5
5.3
9.4
267
260


49.5
5.2
9.4
268
259


48.7
5.2
9.3
269
255


50.9
5.4
9.4
270
276


50.6
5.4
9.3
272
275


51.1
5.4
9.4
273
277


51.6
5.4
9.5
275
280


52.9
5.5
9.5
277
293


52.7
5.5
9.5
278
292


53
5.6
9.5
280
294


52.7
5.5
9.7
282
292


53.5
5.5
9.7
284
296


54
5.5
9.7
286
299


53.8
5.5
9.7
287
298


53.5
5.5
9.7
289
297


54.7
5.5
9.8
291
303


54
5.6
9.7
292
300


54
5.5
9.7
294
299


54.1
5.5
9.8
295
300


54.9
5.5
9.9
297
304


54.9
5.5
9.9
298
304


54.8
5.5
9.8
299
304


54.8
5.5
9.9
301
303


55.2
5.5
10
302
306


55.5
5.5
10
303
308


55.4
5.6
10
304
307


55
5.6
9.9
305
305


55.2
5.5
10
306
306


55.3
5.5
9.9
307
306


55.3
5.5
10
308
306


55.2
5.5
10
309
306


56.5
5.7
10
310
320
















TABLE 4







Heating Test for a Dual-Zone BeO Disc Heater, Zone 1, Test 2











Zone 1 test 2






Applied

Zone 1 test 2

Zone 1 test 2


Voltage
Zone 1 test 2
Resistance
Zone 1 test 2
Actual Watts


(VAC)
Current (A)
(Ohms)
Temp (° C.)
(W)














12.5
0.6
20.9
70
7


12.5
0.6
21.2
72
7


14.4
0.7
21.1
73
10


20.8
1
19.8
74
22


20.1
1
20
75
21


20.8
1
19.8
76
22


20.4
1
19.5
77
21


28.6
1.5
18.6
78
44


28.9
1.5
18.8
79
45


29.2
1.5
18.9
80
45


29.1
1.5
19
81
45


29.4
1.5
19.1
83
45


29.5
1.5
19.1
84
45


37.1
2
18.9
85
73


37
2
18.8
87
73


37.6
2
19.1
89
74


38.1
2
19.4
91
75


41.4
2.2
19.1
93
90


42.3
2.2
19.1
96
94


42.4
2.2
19.1
98
94


42.9
2.2
19.4
101
95


43.6
2.2
19.7
104
96


51.7
2.6
19.6
106
136


52
2.6
19.8
110
137


52.6
2.6
20
114
139


53.9
2.6
20.5
118
142


54.2
2.6
20.6
122
143


54.7
2.6
20.8
126
144


55.5
2.6
21.1
129
147


55.8
2.6
21.2
133
147


56.3
2.6
21.4
137
148


57.7
2.6
22
141
152


57.9
2.6
21.9
145
153


58
2.6
22
149
153


58.6
2.6
22.3
152
155


59.2
2.6
22.4
156
156


59.4
2.6
22.6
160
156


60
2.6
22.8
163
158


61.5
2.6
23.3
167
162


61.2
2.6
23.3
170
161


62.3
2.6
23.6
173
164


62.6
2.6
23.7
177
165


63.1
2.6
24
180
166


63.2
2.6
24
183
166


64.1
2.6
24.4
186
169


64
2.6
24.3
190
168


64.6
2.6
24.5
193
170


65.9
2.6
25
196
174


65.8
2.6
25
199
174


66
2.6
25.1
202
174


66.3
2.6
25.2
205
174


67.2
2.6
25.6
208
177


67.1
2.6
25.5
211
177


68.2
2.6
25.9
213
179


68.1
2.6
25.9
216
179


68.4
2.6
26
219
180


68.9
2.6
26.2
221
181


72.2
2.7
26.5
224
196


71.8
2.7
26.4
227
196


72.6
2.7
26.6
230
198


73.4
2.7
26.9
233
200


73.7
2.7
27
235
201


74
2.7
27.1
238
202


74.4
2.7
27.2
241
202


74.3
2.7
27.3
244
203


75.4
2.7
27.6
247
205


76
2.7
27.9
249
207


76.2
2.7
28
252
208


76.5
2.7
28.1
255
209


76
2.7
27.9
257
207


77.2
2.7
28.3
260
211


77.7
2.7
28.4
262
212


77.6
2.7
28.4
265
212


77.6
2.7
28.8
267
211


82.2
2.9
28.7
270
235


82.6
2.9
28.8
272
236


83.2
2.9
29
275
238


84.3
2.9
29.4
278
241


83.8
2.9
29.3
280
240


84.4
2.9
29.5
283
241


84.6
2.9
29.6
286
242


85.5
2.9
29.8
289
245


85.9
2.9
30
292
247


86.5
2.9
30.2
294
248


86.3
2.9
30.1
297
248


87.6
2.9
30.5
299
251


87.6
2.9
30.6
302
251


88.4
2.9
30.8
305
253


88.6
2.9
30.9
307
253


88.2
2.9
30.8
309
252


90.6
2.9
31.1
312
263


91.1
2.9
31.4
314
265


90.6
2.9
31.2
317
263


91.8
2.9
31.6
319
266


91.8
2.9
31.6
321
267


92.5
2.9
31.9
324
268


93.1
2.9
32
326
271


92.8
2.9
32
328
269


95.7
3
32
331
286


96.2
3
32.1
333
288


97.2
3
32.4
336
291


97.8
3
32.7
338
293


98.3
3
32.8
341
295


98.5
3
32.9
344
294


99.1
3
33.1
346
296


99
3
33
348
297


99.8
3
33.4
351
298


99.6
3
33.3
353
299


100.4
3
33.5
356
301


101.1
3
33.8
358
303


101.1
3
33.8
360
303


102
3
34.1
362
305


101.3
3
33.8
365
303


101.6
3
34
367
304


102.8
3
34.4
369
307


106
3.1
34.5
371
326


105.7
3.1
34.4
373
324


106.3
3.1
34.5
376
326


106.3
3.1
34.6
378
327


107.8
3.1
35
381
331


107.3
3.1
34.9
383
329


108
3.1
35
385
333


108.5
3.1
35.3
388
333


108.8
3.1
35.4
390
335


108.4
3.1
35.3
392
333


110
3.1
35.7
394
339


109.3
3.1
35.9
396
337


110.5
3.1
35.8
399
339


98.7
3.1
32.1
349
303


99.8
3.1
32.4
346
308


100.3
3.1
32.5
347
309


101.4
3.1
32.9
349
312


101.9
3.1
33.1
352
313


102.5
3.1
33.2
355
316


102.5
3.1
33.3
358
315


103.5
3.1
33.6
361
318


110.4
3.3
33.7
364
361


111.6
3.3
34
368
365


112.1
3.3
34.3
372
367


112.6
3.3
34.4
376
368


114
3.3
34.9
380
373


114.6
3.3
35
384
376


115.4
3.3
35.2
388
379


115.7
3.3
35.3
391
380


116.2
3.3
35.5
395
381


117.4
3.3
35.9
399
384


117.9
3.3
36
402
387


118.6
3.3
36.2
406
389


119.4
3.3
36.5
409
392


119.5
3.3
36.5
413
392


120.5
3.3
36.8
416
394
















TABLE 5







Heating Test for a Dual-Zone BeO Disc Heater, Zone 2, Test 2











Zone 2 test 2






Applied

Zone 2 test 2

Zone 2 test 2


Voltage
Zone 2 test 2
Resistance
Zone 2 test 2
Actual Watts


(VAC)
Current (A)
(Ohms)
Temp (° C.)
(W)














7.1
0.9
7.4
70
7


6.9
1
7.1
72
7


8
1.1
6.9
73
9


10.9
1.7
6.6
74
18


11
1.7
6.5
75
19


11.4
1.7
6.7
76
19


10.8
1.7
6.4
77
18


15.7
2.5
6.4
78
39


15.9
2.5
6.4
79
39


15.9
2.5
6.4
80
39


15.7
2.5
6.4
81
38


15.8
2.5
6.4
83
39


15.7
2.5
6.3
84
39


19.6
3.2
6.5
85
62


20.2
3.2
6.4
87
64


20.5
3.2
6.5
89
65


19.9
3.2
6.3
91
63


22.6
3.5
6.5
93
78


23.3
3.6
6.6
96
83


23.2
3.6
6.5
98
83


23.5
3.6
6.6
101
84


23.1
3.5
6.5
104
81


27.4
4.2
6.5
106
115


28.5
4.2
6.7
110
121


28
4.2
6.6
114
118


28.9
4.2
6.8
118
122


29.1
4.2
6.9
122
123


29.3
4.2
7
126
124


29.9
4.2
7.1
129
126


30
4.2
7.1
133
126


30.4
4.2
7.2
137
128


30.3
4.2
7.2
141
127


31.1
4.2
7.4
145
131


31.2
4.2
7.4
149
131


31.6
4.2
7.5
152
133


31.9
4.2
7.5
156
135


31.9
4.2
7.5
160
135


32.2
4.2
7.6
163
135


32.2
4.2
7.6
167
136


32.9
4.2
7.8
170
138


32.6
4.2
7.7
173
137


32.8
4.2
8
177
138


33
4.2
7.9
180
139


33.8
4.2
8
183
143


33.6
4.2
8
186
142


34.3
4.2
8.1
190
145


34.7
4.2
8.2
193
146


34.7
4.2
8.2
196
147


34.5
4.2
8.2
199
146


35.5
4.2
8.4
202
149


35.6
4.2
8.5
205
150


35.2
4.2
8.4
208
148


36.1
4.2
8.5
211
152


35.8
4.2
8.5
213
151


36.6
4.2
8.7
216
154


36.6
4.2
8.7
219
154


36.9
4.2
8.8
221
155


37.7
4.4
8.6
224
165


38.2
4.4
8.7
227
167


38.7
4.4
8.9
230
169


38.4
4.4
8.8
233
168


38.5
4.4
8.8
235
168


39.5
4.4
9.1
238
172


39.7
4.4
9.1
241
173


39.7
4.4
9.1
244
173


39.7
4.4
9.1
247
173


40
4.4
9.1
249
175


40.2
4.4
9.2
252
175


40.2
4.4
9.2
255
176


40.8
4.4
9.4
257
178


40.7
4.4
9.3
260
178


41.1
4.4
9.4
262
180


41.8
4.4
9.6
265
183


41
4.4
9.6
267
179


43.1
4.6
9.4
270
197


44.2
4.6
9.6
272
203


43.7
4.6
9.5
275
200


44.5
4.6
9.7
278
204


44
4.6
9.6
280
202


44.2
4.6
9.6
283
203


45.4
4.6
9.9
286
208


44.9
4.6
9.8
289
206


45.3
4.6
9.9
292
208


45.6
4.6
9.9
294
209


45.8
4.6
10.1
297
210


46.3
4.6
10
299
212


46.1
4.6
10.1
302
211


46.6
4.6
10.2
305
213


46.9
4.6
10.2
307
215


46.5
4.6
10.1
309
213


47.4
4.7
10.2
312
220


47.9
4.7
10.2
314
223


48
4.7
10.3
317
224


48.1
4.6
10.3
319
223


48.8
4.7
10.5
321
228


49
4.7
10.5
324
228


48.6
4.7
10.4
326
227


49.3
4.7
10.6
328
229


50.7
4.8
10.6
331
242


50.9
4.8
10.6
333
244


50.9
4.8
10.6
336
243


51
4.8
10.7
338
245


51
4.8
10.6
341
244


51
4.8
10.7
344
244


52.2
4.8
10.9
346
250


52.2
4.8
10.9
348
251


51.9
4.8
10.9
351
249


52.8
4.8
11
353
254


52.4
4.8
10.9
356
251


52.2
4.8
10.9
358
251


52.3
4.8
10.9
360
250


52.7
4.8
11
362
253


53.7
4.8
11.2
365
257


53.2
4.8
11.3
367
255


53.6
4.8
11.2
369
257


54.5
4.9
11.1
371
269


55.8
4.9
11.3
373
275


56.3
4.9
11.4
376
277


56.3
4.9
11.4
378
277


56.4
4.9
11.5
381
277


57
4.9
11.6
383
281


56.4
4.9
11.4
385
278


56.9
4.9
11.6
388
280


57.2
4.9
11.6
390
281


57.8
4.9
11.8
392
284


58.1
4.9
11.8
394
286


58.4
4.9
11.8
396
287


58.3
4.9
11.8
399
287


52.4
4.9
10.6
349
258


52.3
4.9
10.8
346
257


52.7
4.9
10.7
347
259


53.5
4.9
10.8
349
263


54.2
4.9
11
352
267


54.4
4.9
11
355
268


54.9
4.9
11.1
358
271


54.7
4.9
11.1
361
269


58.4
5.2
11.2
364
305


58.8
5.2
11.2
368
308


59.5
5.2
11.3
372
312


59.8
5.2
11.4
376
313


60.1
5.2
11.4
380
315


59.8
5.2
11.4
384
314


60.5
5.3
11.5
388
318


60.8
5.2
11.6
391
319


61.2
5.2
11.7
395
321


61.4
5.2
11.7
399
321


61.9
5.2
11.8
402
324


62.7
5.2
11.9
406
328


62.5
5.2
11.9
409
328


63.5
5.2
12.1
413
333


63.2
5.2
12.1
416
330









In FIGS. 10-14, actual wattage (W), resistance (ohms, Ω), and temperature (° C.) were plotted for the applied voltages of about 7V to 121V from Tables 2-5 above. As seen in FIG. 10, input voltages for zone 1, test 1 of about 40VAC-108VAC resulted in a maximum temperature of about 60° C.-310° C. and a maximum power output of about 87W-382W. In FIG. 11, input voltages for zone 2, test 1 of about 21VAC-57VAC resulted in a maximum temperature of about 60° C.-310° C. and a maximum power output of about 74W-320W. In FIG. 12, input voltages for zone 1, test 2 of about 13V-121V resulted in a maximum temperature of about 70° C.-416° C. and a maximum power of about 7W-394W. In FIG. 13, input voltages for zone 2, test 2 of about 7V-63V resulted in a maximum temperature of about 70° C.-416° C. and a maximum power of about 7W-330W. In FIG. 14, the coefficient of resistance (ohms, Ω) and temperature (° C.) was plotted for the applied voltages from zone 1 (FIGS. 10, 12). The resistance was about 18Ω-37Ω.


Example 5

Two heating element types were constructed according to the embodiment illustrated in FIG. 6. The first heating elements used a molybdenum (Mo) foil as the heating element material and the second heating elements used KOVAR as the heating element material. Three samples of the molybdenum (Mo) heating element were prepared and foil adhesion to a BeO ceramic body was measured in units of lbs-shear. Six samples of the KOVAR heating element were prepared and foil adhesion to a BeO ceramic body was measured in units of lbs-shear. The surface area of foil in contact with the BeO substrate was about 0.17 in2 on each side, for both the molybdenum (Mo) and KOVAR type heating element samples. A calibrated load cell was used to measure compressive force at a load rate of 200 kpsi/min at room temperature. The samples were loaded on the bottom edge of the first plate, and the top edge of the second plate to simulate shear force. The foil adhesion results of the different molybdenum (Mo) and KOVAR heating elements are shown in Table 6 below.









TABLE 6







Foil Adhesion on BeO Ceramic Body










KOVAR Foil
Molybdenum (Mo) Foil


Sample No.
Adhesion (lbs-shear)
Adhesion (lbs-shear)












1
917
225


2
981
317


3
1088
226


4
1088



5
1088



6
946










In FIG. 15, the maximum achieved adhesion for each of the samples was plotted. Sample 2 of the molybdenum (Mo) heating element achieved a maximum adhesion of about 300 lbs-shear. Samples 3-5 of the KOVAR heating element all achieved a maximum adhesion of greater than about 1088 lbs-shear, which is the upper limit at which the load cell stops measuring.


The present disclosure has been described with reference to exemplary embodiments. Obviously, modifications and alterations will occur to others upon reading and understanding the preceding detailed description. It is intended that the present disclosure be construed as including all such modifications and alterations insofar as they come within the scope of the appended claims or the equivalents thereof.

Claims
  • 1. An integral resistance heater, comprising: a beryllium oxide (BeO) ceramic body having a first surface and a second surface, anda first heating element formed from a refractory metallizing layer and bonded to either the first surface or the second surface of the beryllium oxide ceramic body.
  • 2. The integral resistance heater of claim 1, wherein the refractory metallizing layer contains molybdenum or tungsten.
  • 3. The integral resistance heater of claim 2, wherein the refractory metallizing layer contains MoSi2 or moly-manganese.
  • 4. The integral resistance heater of claim 1, further comprising a beryllium oxide ceramic top plate and a beryllium oxide ceramic base plate, wherein the beryllium oxide ceramic body is disposed between the top plate and the base plate.
  • 5. The integral resistance heater of claim 1, further comprising heater terminals connected to the first heating element of the BeO ceramic body.
  • 6. The integral resistance heater of claim 5, further comprising a power source connected to the heater terminals for controlling the first heating element.
  • 7. The integral resistance heater of claim 1, wherein the first heating element is printed using screen-printing, roll coating, or air brushing.
  • 8. The integral resistance heater of claim 1, wherein the first heating element is bonded to the first surface of the BeO ceramic body and a second heating element is bonded to the second surface of the BeO ceramic body.
  • 9. The integral resistance heater of claim 1, wherein the BeO ceramic body is in the shape of a square plate, rectangular plate, platen or disc, or a tube, or a sold rod or bar.
  • 10. The integral resistance heater of claim 1, wherein the first heating element is patterned in the shape of a spiral, a series of substantially concentric circles, or a zigzag.
  • 11. The integral resistance heater of claim 1, wherein the BeO ceramic body is in the form of a tube, a first terminal is present on a first end of the tube, a second terminal is present on a second end of the tube, the heating element has a first end that is connected to the first terminal and has a second end that is connected to the second terminal, and the first surface is an exterior surface of the tube.
  • 12. A method of forming an integral resistance heater, comprising: applying a refractory metallizing paint onto a first surface or a second surface of a beryllium oxide ceramic body to form a first heating element.
  • 13. The method of claim 12, wherein the printing is done by screen-printing, roll coating, or air brushing the heating element.
  • 14. The method of claim 12, wherein the first heating element is formed in a pattern having the shape of a spiral, a series of substantially concentric circles, or a zigzag.
  • 15. The integral resistance heater of claim 12, wherein the metallizing paint contains molybdenum or tungsten.
  • 16. The integral resistance heater of claim 15, wherein the metallizing paint contains MoSi2 or moly-manganese.
  • 17. A method of heating, comprising: passing electrical current through a heating element that is formed from a metal foil or metallizing paint, the heating element being located upon a beryllium oxide ceramic body.
  • 18. The method of claim 17, wherein the ceramic body is in the shape of a disk, a square, a platen, or a tube, or a solid rod or bar.
  • 19. The method of claim 17, wherein the heating element is formed from a metal foil comprising one of a nickel alloy, tungsten, molybdenum, or platinum and alloys of platinum, or metallizing paint that contains molybdenum or tungsten.
  • 20. An integral resistance heater, comprising: a top plate comprising beryllium oxide;a base plate comprising beryllium oxide; anda heating element located between the top plate and the base plate.
CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims priority to U.S. Provisional Patent Application Ser. No. 62/319,388, filed on Apr. 7, 2016, which is fully incorporated by reference herein.

Provisional Applications (1)
Number Date Country
62319388 Apr 2016 US