Abstract:
A low dielectric, low temperature fired glass ceramic produced by firing at about 800°-900° C. a mixture comprising at least one glass consisting of, by weight percent, 0 to 50% B 2  O 3 , 35 to 65% CaO, and 10 to 65% SiO 2 , and selected from the glasses of CaO-B 2  O 3  -SiO 2  glass system. The glass ceramic is light weight, exhibits a dielectric constant of less than about 7.9, has adequate mechanical strength and thermal conductivity, and is compatible with precious metal conductors. The glass ceramic is useful in the manufacture of integrated circuits and any other electronic or mechanical components where a glass ceramic exhibiting this particular combination of characteristics is suitable.

Description:
This application is a continuation of application Ser. No. 07/604,344 filed Oct. 24, 1990 entitled Low Dielectric, Low Temperature Fired Glass Ceramics which issued as U.S. Pat. No. 5,164,342 and is a continuation of application Ser. No. 07/258,303 entitled the same and filed Oct. 14, 1988, which application is abandoned. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Technical Field 
     This invention relates to low dielectric constant, low temperature fired glass ceramics especially useful in the manufacture of multilayer integrated circuits, thick film hybrid circuits and other electronic components, and comprising a glass from the CaO-B 2  O 3  -SiO 2  glass system. 
     2. Description Of The Related Art 
     Cofired multilayer circuits (CMC) are known in the art. Advances in information processing technology have resulted in ever increasing numbers of circuit elements per unit area. A concurrent need for CMC substrates satisfying certain performance criteria has arisen. The desirable characteristics that a CMC substrate should exhibit are a low dielectric constant, a thermal expansion coefficient (CTE) matching that of the chip, high thermal conductivity and amenability to be processed into cofired multilayer circuits at low temperatures. 
     Multilayer circuits can be prepared from endless tapes containing dielectric material dispersed in a binder-solvent solution and cast onto an endless flexible film by techniques known in the art. Typical dielectric materials have included Al 2  O 3  as a refractory filler or crystalline phase in a noncrystalline glass (glass/ceramic composite systems). 
     Composite ceramics incorporating alumina have been used as substrates for a long time. Current conductor, resistor and dielectric systems have properties, such as the coefficient of thermal expansion, matched to that of alumina. Early ceramics employing alumina required temperatures of 1400°-1500° C. for sintering. Such high temperatures presented problems well-known in the art, such as limiting conductor metallurgy to refractory metals such as molybdenum and tungsten, the use of which presented the further problem of oxidizing at sintering temperatures. The oxidation of the conductor metals necessitated firing in a neutral H 2  atmosphere. 
     These difficulties lead to attempts at developing CMC substrate materials that could be fired at temperatures below about 950° C. where silver and copper can be used. 
     Glass ceramic composites were considered good candidates for CMC substrate materials because of low dielectric constants and low sintering temperatures. Glass ceramic composites, however, suffer the drawback of exhibiting low thermal conductivities. The current art, then, is comprised of composite materials that are the result of judicious compromises among the various requirements. 
     The speed of signal transmission in hybrid microelectronic circuits is affected by the dielectric constant of the insulating layer. Attempts at fabricating lower dielectric materials for use in thick film hybrid microcircuits have included polymeric dielectric materials, porous dielectric materials, and glass-ceramic composite dielectric materials. 
     The glass-ceramic composite materials have also been good candidates for thick film substrates because of their superior mechanical, electrical, and hermetic properties compared to porous dielectrics. They also have superior mechanical, physicochemical, and refractory properties compared to polymeric dielectrics. The desirable characteristics that a glass-ceramic for use in thick film pastes should exhibit are a low dielectric constant, a thermal expansion coefficient (CTE) compatible with that of the substrate, excellent hermetic and insulating properties, compatibility with precious metal pastes, and amenability to be processed into thick film hybrid circuits at temperatures below about 950° C. 
     Thick film hybrid circuits can be prepared from inorganic powders made up into pastes with an organic vehicle; the pastes are applied to a suitable substrate, such as alumina, and then fired. Typical dielectric materials have included Al 2  O 3  as a refractory filler or crystalline phase in a noncrystalline glass (noncrystallizing glass/ceramic composites). 
     U.S. Pat. No. 4,654,095 teaches such a dielectric composition for use in tapes in the fabrication of multilayer circuits wherein selected noncrystallizing glass having certain deformation and softening temperatures are mixed with a refractory filler that is insoluble in the glass, and then fired at 825°-900° C. 
     U.S. Pat. No. 4,643,148 describes a multilayer system requiring a two-stage firing in which the substrate is composed of alumina, a crystallizable glass such as crystallizing spodumene or cordierite, and a noncrystallizing soft glass such as borosilicate or aluminosilicate glass. 
     U.S. Pat. No. 4,621,066 teaches low temperature fired (800° C. to 1000° C.) composite ceramics for use in electronic components wherein noncrystalline glass from the CaO-SiO 2  -Al 2  O 3  system is mixed with 35 to 50% alumina. 
     U.S. Pat. No. 4,598,167 teaches composite ceramic substrate materials that are mixtures of a low temperature softening glass and various forms of SiO 2 , and sinterable at temperatures below about 900° C. The dielectric constants are reported to be in the range of 4-6, and the CTE in the range of 4.5 to 7.0 ppm/°C. 
     U.S. Pat. Nos. 4,413,061 and 4,301,324 describe two glass ceramic systems having spodumene and cordierite as the main crystallizing phase. The dielectric constants are reported as in the range of 5.0 to 6.5, and the CTE as in the range of 2.0 to 8.3 ppm/°C. 
     U.S. Pat. No. 3,816,172 teaches a partially crystallized dielectric comprising crystals in a glassy matrix. 
     U.S. Pat. No. 4,714,687 teaches a low k glass ceramic suitable for dielectric substrates and comprising willemite and cordierite. 
     SUMMARY OF THE INVENTION 
     The invention provides a low dielectric constant, low temperature fired glass ceramic produced by firing at about 800° to 950° C., a mixture comprising at least one glass having a composition of, by weight percent up to about 55% B 2  O 3 , about 35 to 55% CaO, and about 10 to 65% SiO 2  preferably, 0 to 50% B 2  O 3 , 35 to 65% CaO, and 10 to 65% SiO 2 , and selected from the CaO-B 2  O 3  -SiO 2  glass system. The invention also provides a two-glass (binary) ceramic wherein a hard and a soft glass selected from the CaO-B 2  O 3  -SiO 2  system are fired together to form a ceramic article. The invention further provides a noncrystallizing glass/glass ceramic comprising a crystallizable glass from the CaO-B 2  O 3  -SiO 2  system having a composition of, by weight percent, about 18 to 32% B 2  O 3 , about 42 to  47% CaO, and about 28 to 40% SiO 2 , a noncrystallizing glass having a composition of, by weight percent, at least about 60% SiO 2 , about 10 to 35% B 2  O 3 , and up to about 6% alkali metal oxide. The CMC glass ceramics exhibit dielectric constant values of less than about 7.0. The dielectric constant of the thick film materials is less than about 5.2. The relative proportions of the glasses affect the final properties of the ceramic, such as the thermal expansion coefficient, so that the thick film ceramic can be made compatible with various substrates, such as alumina, mullite, and spinel. The noncrystallizing glass/glass ceramic dielectric material is useful as a multilayer dielectric, a cross-over dielectric, a solder dam, or a hermetic seal. The glass ceramics of the present invention are useful in any electronic or mechanical components where a glass ceramic exhibiting the particular combinations of characteristics is desirable. 
     As used in the specification and the claims, the terms &#34;hard&#34; and &#34;soft&#34;, when applied to a pair of glasses in the CaO-B 2  O 3  -SiO 2  glass system, are used in a relative sense and with reference to the CaO-B 2  O 3  -SiO 2  glass system phase diagram, a hard glass being farther from the eutectic than its paired soft glass. Another relationship between a hard and a soft glass is that the hard glass has a liquidus temperature above that of the soft glass. 
     The glass ceramic of the present invention is to be distinguished from noncrystallizing glass and ceramic (refractory) filler preparations of the prior art. Unlike glass/ceramic composites wherein a refractory filler (ceramic) is mixed with a noncrystallizing glass in which it is insoluble to form a glassy matrix surrounding a refractory filler, the material of the present invention comprises a glass ceramic formed by the in situ crystallization of one or more crystallizable glasses from the same glass system. 
     The present invention also provides a noncrystallizing glass/glass ceramic dielectric material which is a dielectric material wherein a ceramic phase is dispersed in a glassy matrix where the ceramic is formed by the crystallization of the glass ceramic. Unlike glass/ceramic composites wherein a refractory filler (ceramic) is mixed with a noncrystallizing glass in which it is insoluble to form a glassy matrix, this material of the present invention comprises a glass ceramic formed in situ by the crystallization of one glass in a noncrystallized matrix of another glass. 
     The glass ceramic of the present invention is advantageous for use in cofired multilayer substrates because it does not require a refractory ceramic component that can contribute to an increase in the dielectric constant. Additionally, the glass ceramic of the present invention, being composed of one or more crystallizing glasses from the CaO-B 2  O 3  -SiO 2  glass system, is free from problems caused by the interactions between refractory filler and glass. Yet when a refractory filler is needed or desired, the glasses are amenable to accepting such a filler. 
     Importantly, when two glasses are used to make a two-glass ceramic, the use of a hard glass and a soft glass from the same system means total compatibility, so that fine adjustments to the composition of the ceramic can be made during processing by simply adding more of one or the other of the glasses. The fact that both glasses in the two-glass ceramic are crystallizing results in a ceramic that is stable after the first fire. The use of two crystallizing glasses gives many options in the fabrication of the ceramics, such as using different grain sizes to achieve different rates of crystallization so as to change the amount of residual glass. Also, small amounts of lower dielectric constant fillers such as fused SiO 2 , mullite, cordierite, fosterite and the like are easily tolerated by the system, yet allow for further manipulation of the properties of the final ceramic without encountering compatibility problems. The binary glass ceramic of the present invention simulates the use of refractory filler without the drawbacks associated with a glass/ceramic system. 
     A glass ceramic form a single glass from the CaO-B 2  O 3  -SiO 2  glass system also offers flexibility in the fabrication of substrates, such as the addition of hard or soft glasses from other systems. This other glass may be a noncrystallizing glass. The preferred noncrystallizing glasses exhibit a flat viscosity-temperature curve. Preferred noncrystalline glasses have high amounts of silica, fairly high boron trioxide contents, and alkali contents below about 6% by weight. Preferably, the glasses have a strain point between 440° and 480° C., an annealing point in the 480° to 530° C. range, and a fiber softening point between 690° and 785° C. 
     The one or two-glass ceramic of the present invention is lightweight, having a density lower than glass and alumina composite ceramic. 
     The thermal conductivity of the glass ceramics is adequate for use in microcircuits, and the thermal expansion matches that of alumina to a degree where available inks usually used for alumina CMC substrates may also be used with these ceramics. 
     The present glass ceramics enjoy compatibility with noble metals, so that silver, gold, and palladium, as well as copper conductors can be employed. 
     Upon firing, the present ceramics exhibit adequate dimensional stability, with XY shrinkage in the 12% range. Additionally, when made up as thick films, they can be fired using a typical thick film firing profile. 
     CMC substrates prepared with a single glass comprise 0 to 50% B 2  O 3 , 35 to 65% CaO, and 10 to 65% SiO 2 , more preferably comprise 0 to 40% B 2  O 3 , 35 to 55% CaO, and 10 to 50% SiO 2 . 
     CMC substrates prepared from two glasses from the same system comprise up to about 50% by weight soft glass and about 50% by weight hard glass. The preferred composition comprises 40% of the eutectic glass, as on Table II, below, and 60% of the glass designated as CBS-1 on Table II and comprising 10% B 2  O 3 , 40% CaO, and 50% SiO 2 . 
     CMC substrates fabricated from one crystallizing glass from the same system and a noncrystallizing glass from another system comprise about 50% by weight of each. 
     Thick film dielectric inks are fabricated from a crystallizing glass from the system of the present invention comprising about 10 to 32% B 2  O 3 , 42 to 47% CaO, and 29 to 40% SiO 2 , and a noncrystallizing glass comprising at least about 60% SiO 2 , about 10 to 35% B 2  O 3  and up to about 6% alkali metal up to about 5% Al 2  O 3  and MgO may be added to the glass composition. Preferred thick film dielectrics comprise a crystallizing glass of about 26% B 2  O 3 , about 42% CaO, and about 32% SiO 2 , and a noncrystallizing glass about 71% SiO 2 , 26% B 2  O 3 , 0.5% Na 2  O, 1.0% K 2  O, 0.5% Li 2  O and include a crystallizing agent which may be CaB 2  O 4  and may be present in an amount of about 1% by weight. If a colorant is desired, the preferred colorant is Cr 2  O 3  and is present in an amount of about 0.5% by weight. 
     The glasses are in the form of powders, preferably having an average particle size of about 1 to 10 μm, and most preferably, 3 to 6 μm. The crystallizing agent for the thick film substrate is also in the form of a powder, preferably having an average particle size of 1 to 3 μm. 
     Up to about 5% by weight aluminum, silicon, or magnesium oxide may be also present in the composition, these incidental amounts of these oxides being picked up in the milling process. 
     Still other features and advantages and a full understanding of the invention will become apparent to those skilled in the art from the following description of the preferred embodiments. 
    
    
     BRIEF DESCRIPTION OF THE DRAWING 
     FIG. 1A is a phase diagram of the CaO-B 2  O 3  -SiO 2  system showing the composition range of the four CMC substrates. 
     FIG. 1B is the phase diagram of the CaO-B 2  O 3  -SiO 2  system showing the range for the thick film substrates. 
     FIG. 2 is a graph of a differential thermal analysis of the dielectric paste composition of the present invention. 
     FIG. 3 is a graph like FIG. 2. 
     FIG. 4 is a thermogram of the dielectric paste composition of the present invention. 
     FIG. 5 is a photomicrograph of the dielectric paste composition of the present invention. 
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     1. Tapes For Cofired Multilayer Circuits 
     Referring to FIG. 1A, there is shown a phase diagram of the CaO-B 2  O 3  -SiO 2  system showing the composition range of the glasses for the CMC substrates of the present invention. (The eutectic for the glass system is marked on FIG. 1B at 12.) 
     For incorporation into dielectric compositions for use in tapes for cofired multilayer circuits, one or two glasses having a composition lying on the phase diagram of FIG. 1 and bounded by the limits of 0 to 50% B 2  O 3 , 35 to 65% CaO, and 10 to 65% SiO 2  are milled to an appropriate size powder, about 1 to 10 μm average size, preferably in the range of 2 to 6 μm average size. The powdered glass, with or without further refractory filler, is mixed with the binder and then cast into a tape of desired thickness using a doctor blade, all by techniques known in the art. The binder may include a solvent, surfactant, plasticizer. Typical binders include acrylic binders and polyvinyl compounds. Plasticizers may include any of the phthalates. Additionally, viscosity modifiers, anti-skinning agents and the like can be used, as is known in the art. 
     Table I lists the properties of one and two glass dielectric composition cofired multilayer tapes. 
     The composition of the glasses in the glass system column (1) of Table I are identified in Table II. The glasses of Table I were prepared as in Example 1. 
     EXAMPLE 1 
     The glass melting and milling procedure was of a type known in the art where glass was melted in a platinum crucible at 1400°-1500° C. for about one hour until it was fully melted and homogenized. The glass was poured through a set of rolls and rolled into flakes. The flakes were milled by known techniques to an average powder size of 2 to 6 μm. A binder solution, was prepared from, by weight, acrylic binder 11.33%; phthalate plasticizer 3.97%; and a solvent recommended by the suppliers, in this case a mixture of methyl ethyl ketone/cyclohexane solvent, 84.7%. The powder was added to the binder so that the ratio of solids to liquid was about 60/40. The mixture was milled together in a ball mill with alumina media until a homogeneous slurry was obtained, that is for 2 to 24 hours. The resulting mixture was then degassed and cast into a tape using a doctor blade. The cast tape was dried and blanked. Blanked pieces were laminated in a laminating die at a temperature of about  70° C. for 10 minutes at 3000 psi. The binder was burnt out at 350° C. for 12 hours. The laminate was fired on a setter in the belt furnace in a standard thick film profile of 850° C./10 minutes on an alumina substrate. The resultant substrate was then subjected to the measurements recorded in Table I. 
     
                                           TABLE I__________________________________________________________________________             (3)   (4)(1)        (2)    Edge  CTE CTE CTE (5) (6)  (7)  (8)     (9)System     Appearance             Definition                   300 500 800 K   D    Porosity                                             Sx Sy XRD__________________________________________________________________________                                                   phasesGROUP I646/0      White  Bad   70.0                       72.5                           84.1P12-z      Gray   Bad   73.4                       76.7                           86.3                               5.203                                   0.0009    13.5                                                14.3                                                   CSK          Gray   Good  71.3                       74.1                           82.7         None 20.8                                                18.2                                                   CS(M),                                                   CB(t), GA          Gray   GoodB          Gray   Good                                  CS(M),                                                   CB(m)C          Gray   Good  67.1                       70.4                           81.5              19.3                                                14.2                                                   CS(M),                                                   CB(m)D          Gray   Good  63.6                       69.6                           81.5              17.7                                                14.4                                                   CS(M),                                                   CB(m)E          Gray   Bad   66.4                       71.7                           83.3              19 16.6                                                   UF          Gray   Bad                                   CS(M),                                                   CB(M)G          Gray   BadN          Gray   Bad   82.1                       87.9                           99.0         None 17.4                                                17.6                                                   CS(M),                                                   CB(m)GO          Gray   Bad   75.0                       79.2                           86.7         None 15 18.2                                                   CS(M),                                                   CB(m),                                                   C2B(m), GT          Gray   Bad   79.0                       81.1                           82.7         None 15 20.0                                                   CS(M),                                                   CB(m),                                                   C2B(m)AA         Gray   Good  42.6                       45.5                           46.8         None 19 15.4                                                   CS(M),                                                   CB(m),                                                   C2B(t), GAB         Gray   Good  65.7                       72.5                           84.1         None 19.7                                                15.1                                                   CS(M),                                                   CB(M), GAC         Gray   Good  65.7                       75.4                           85.8         None 22.4                                                19.6                                                   CS(M),                                                   CB(M),                                                   C2S(t), GAD         Gray   Good  102.9                       106.7                           113.7        Little                                             21.5                                                21.9                                                   C2S, CS,                                                   CB(m),                                                   C2BS(t)AE         Gray   Good  99.3                       106.3                           121.5        Yes20D        White  Good  66.9                       68.6                           68.4                               4.975                                   0.0003                                        Yes  8.36                                                9.93                                                   CS, CB20E        Gray   Good  77.0                       75.8                           76.8         Yes20F        Gray   Good  80.7                       81.3                           84.2                               7.382                                   0.0017                                        Yes  13.7                                                15.7                                                   CS, CB, U20G        Gray   Good  87.1                       84.2                           83.4                               7.466                                   0.0071                                        Yes  16 11.2                                                   CS, U20H        Gray   Good  105.3                       112.1                           121.1        Yes20I        Gray   Good                       Yes30B        White  Bad                        None30C        Gray   Good  69.6                       73.6                           87.3         Yes30D        Gray   Good  99.3                       96.7                           97.1         Yes30E        Gray   Good  80.0                       62.1             Yes30F        Gray   Good  73.2                       60.7                           67.9         Yes40C        Gray   Good                       29.9 8.87                                                6.6440D        Gray   Good  86.6                       86.7                           92.4                               4.729                                   0    Yes  15.4                                                11.840E        Gray   Good  93.5                       95.1                           102.7                               5.009                                   0.9935                                        Yes  17.4                                                17.6AS1        White  Good  67.1                       65.8                           74.9         NoneAS2        White  Good  66.0                       68.5                           87.6                               6.21                                   0.0013                                        None 10.8                                                12.9                                                   CB(M),                                                   CS(t), C2AS3        White  Good  70.0                       71.3                           93.3                               6.21                                   0.0013                                        None 11 12.6                                                   CB, G15A        White  Good  74.2                       74.5                           80.8         Yes        CS(M),                                                   CB(m), G25A        White  Good  75.6                       74.0                           74.9                               5.756                                   0.0018                                        None N/M                                                N/M                                                   CS(M),                                                   CB(m), G22.5A      White  Good  80  76.7                           82.3                               6.29                                   0.0082                                        12.5 15.9                                                11.1EUT12 (E12)      White  Bad   77.6                       83.7                           97.6              N/M                                                N/M                                                   CB(M),                                                   CS(m), GCBS-1      White  Good  63.3                       58.9                           66.1         Yes  2.53                                                5.0CBS-2      White  Good  74.9                       75.4                           82.3                               5.44                                   0    Yes  11.5                                                18.2CBS-3      White  Good  72.3                       71.6                           75.1         Yes  4.33                                                2.7CBS-4      Sl. Gray             Bad   75.6                       75.8                           83.6                               6.6 0    11.6 16.6                                                14.6GROUP IICBS-1 + 10% E12      White  Good                        25.63                                             6.27                                                4.7CBS-1 + 20% E12      White  Good  76.4                       73.8                           79.7                               5.26                                   0.0009                                        Yes  9.07                                                7.6CBS-1 + 30% E12      White  Good  80.0                       77.1                           82.6                               5.7 0.001                                        26.1 11 10.3CBS-1 + 35% E12      White  Good  80  80.4                           84.2                               5.455                                   0.0009                                        Little                                             11.8                                                10.3CBS-1 + 40% E12      White  Good  75.5                       76  82.1                               5.298                                   0.0011                                        11.7 11.7                                                8.815A + 10% 30B      White  Good                       Yes  6.2                                                5.615A + 20% 30B      White  Good                       Yes  9  7.315A + 30% 30B      White  Good  74.2                       74.5                           80.8                               5.58                                   0.0013                                        Little                                             10.8                                                8.915A + 35% 30B      White  Good  62.2                       62.6                           74.6                               5.529                                   0.0006                                        Little                                             11.7                                                10.815A + 40% 30B      White  Good  75.7                       74.6                           86.2                               5.646                                   0.003                                        None 12.6                                                11.215A + 20% E12      White  Good              4.822                                   0.0022                                        19.6 9.2                                                7.415a + 25% E12      White  Good                            10.4                                                9.515A + 30% E12      White  Good                            11.4                                                9.820D + 15% E12      White  Bad               6.504                                   0.0016                                         9.5 12.5                                                8.420D + 20% E12      White  Bad                             12.5                                                8.720D + 25% E12      White  Bad                             11.8                                                8.6646/0 + 20% 15A      White  Bad                             20 14.1646/0 + 25% 15A      White  Bad                             16.9                                                12.6646/0 + 30% 15A      White  Bad                             16.2                                                13.6GROUP III25a + 10% VYCOR      White  Good              6.34                                   0.0018                                        Little                                             14.3                                                11.725A + 20% VYCOR      White  Good                       Yes  9.67                                                8.125A + 30% VYCOR      White  Good                       Yes  3.73                                                3.130B + 10% FS      White  Good              5.166                                   0.0023                                        Little                                             25.2                                                19.3                                                   CB(M),                                                   CS(m),                                                   Alpha Q(m)30B + 20% FS      White  Good              5.443                                   0.0018                                        Little                                             15.6                                                17.7                                                   CB(M),                                                   CS(m),                                                   Alpha Q(m)30B + 30% FS      White  Good                       Yes        CB(M),                                                   CS(m),                                                   Alpha Q(m)646/0 + 10% FS      White  Bad               5.682                                   0    17.8 18 15.1646/0 + 20% FS      White  Bad   69.8                       69.1                           75.4                               5.515                                   0.0038                                        13   13.4                                                12.3646/0 + 30% FS      White  Fair                       Yes  8.8                                                9.315A + 5% 7070      White  Good              4.34                                   0.0023                                        Yes  6  7.815A + 10% 7070      White  Good                       Yes  7.07                                                6.115A + 15% 7070      White  Good                       Yes  9  8.425A + 10% FS      White  Good  80.7                       78.3                           86.5                               6.63                                   0.0017                                        15.4 17.8                                                15.425A + 20% FS      White  Good  102.5                       101.9                           86.5                               6.16                                   0.0019                                        Yes  15.1                                                13.825A + 30% FS      White  Good  76.4                       73.4                           88.5                               4.7 0.0016                                        26.8 14.1                                                15.4E12 + 10% FS      White  Good  91.6                       91.0                           91.1                               5.11                                   0.0014                                        Little                                             21.4                                                16.5E12 + 12% FS      White  Good  97.5                       99.4    6.872                                   0.0017                                         11.47                                             13.3                                                12E12 + 15% FS      White  Good  96.7                       99.4    6.276                                   0.0018                                        Yes  13.9                                                9.6E12 + 20% FS      White  Good                       Yes  12.2                                                12.0E12 + 30% FS      White  Good                       Yes  9.13                                                8.9__________________________________________________________________________ 
    
     
                       TABLE II______________________________________System    CaO           B.sub.2 O.sub.3                          SiO.sub.2______________________________________646/0     45.00         15.00  40.99P12-zK         47.72         8.34   43.95A         47.52         11.12  41.36B         47.33         13.90  38.78C         47.13         16.68  36.19D         46.94         19.46  33.61E         46.74         22.24  31.02F         46.55         25.02  28.44G         46.35         27.80  25.85N         51.00         21.00  28.00O         54.00         18.00  28.00T         55.00         20.00  25.00AA        50.00         11.00  39.00AB        50.00         15.00  35.00AC        50.00         18.00  32.00AD        60.00         11.00  29.00AE        64.00         14.00  22.0020D       40.00         20.00  40.0020E       45.00         20.00  35.0020F       50.00         20.00  30.0020G       55.00         20.00  25.0020H       60.00         20.00  20.0020I       65.00         20.00  15.0030B       40.00         30.00  30.0030C       45.00         30.00  25.0030D       50.00         30.00  20.0030E       55.00         30.00  15.0030F       60.00         30.00  10.0040C       40.00         40.00  20.0040D       45.00         40.00  15.0040E       50.00         40.00  10.00AS1       36.30         36.10  26.10AS2       37.30         36.10  27.60AS3       36.30         36.10  27.6015A       40.00         15.00  45.0025A       40.00         25.00  35.0022.5A     40.00         22.50  37.50EUTI12    39.00         32.00  29.00CBS-1     40.00         10.00  50.00CBS-2     46.00         10.00  44.00CBS-3     37.78         15.00  47.22CBS-4     43.44         15.00  41.56______________________________________ 
    
     For each substrate in Table I, the appearance was qualitatively assessed, and the assessment is listed in column (2). A gray appearance may indicate that binder burn off is incomplete or that a residue is left. 
     Edge definition is listed in column (3) and is also a qualitative assessment. 
     The coefficient of thermal expansion was measured as the samples were heated from room temperature to 300° C., 500° C. and 800° C., respectively. The value of the coefficient is a reflection of the compatibility of inks and the like used for alumina technology and transferable to the present invention. For alumina, CTE300 is about 64, and CTE800 is about 78 to 80. 
     The K value in column (5) is the dielectric constant, and the D in column (6) is the dissipation factor or dielectric loss, both measured at 10 megahertz by known techniques. 
     Porosity in column (7) was qualitatively assessed. 
     Sx and Sy in column (8) are shrinkage measurements made in the x and y directions of the CMC substrate. For isotropic shrinkage, Sx should be as close to Sy as possible. 
     Column (9) gives the glass phases found in a given substrate as assessed by X-ray diffraction. CS refers to a CaOSiO 2  phase; CB refers to a CaOB 2  O 3  phase; G refers to a glassy residue phase; C2B refers to 2(CaO)B 2  O 3  ; C2S refers to 2(CaO)SiO 2  phase; C2BS refers to 2(CaO)SiO 2  B 2  O 3  phase; alpha Q refers to alpha quartz; and U refers to undeterminable peak. The notation (M) indicates that phase is present in a major amount; (m) indicates that phase is present in a minor amount; and (t) indicates a trace amount of that phase. 
     Ingredient FS was a fused silica having an average powder size of 5 μm. Vycor is about 96% silica, 3% B 2  O and about 1% soda (available from Corning Glass). The Vycor used in the preparation of the CMC substrates of Table I had been leached of the soda. 
     Ingredient &#34;7070&#34; is a noncrystallizing glass available from Corning Glass and believed to have a composition similar to &#34;EJ-70,&#34; available from Ferro Corporation and having a composition by weight percent, of at least about 60% SiO 2 , about 10 to 35% B 2  O 3 , and up to about 6% alkali metal oxide. &#34;EJ-70&#34; has a composition of 71% SiO 2 , 26% B 2  O 3 , 0.5% Na 2  O, 1.0% K 2  O, and 0.5% Li 2  O. 
     Group I of substrates on Table I were prepared from single crystallizing glasses selected from the CaO-B 2  O 3  -SiO 2  system bounded by the region about 0 to 50% B 2  O 3 , about 35 to 65% CaO, and about 10 to 65% SiO 2 . As noted previously, the composition of the individual glasses used to make the substrates is given in Table II. 
     Substrates in Group II on Table I were prepared from two glasses selected from the CaO-B 2  O 3  -SiO 2  system bounded by the same limits. Each of the glasses of the pair is a crystallizing glass. 
     The third, Group III of substrates on Table I was prepared from a crystalline glass from the above-mentioned area of the CaO-B 2  O 3  -SiO 2  system and a noncrystallizing glass from another system, such as fused silica, a hard noncrystallizing glass, leached Vycor, and &#34;7070.&#34; 
     It is contemplated that other noncrystallizing glasses, both hard and soft, from other glass systems will be found useful in combination with a glass or glasses from the CaO-B 2  O 3  -SiO 2  system. Such glasses can alter the speed of crystallization in a known manner. Also, the incorporation of crystallizing agents is contemplated to affect the degree of crystallization of a particular substrate. 
     It is contemplated that low dielectric constant fillers, such as mullite, cordierite and fosterite, and the like, will be satisfactorily incorporated into the dielectric material in a manner and with results known in the art. 
     2. Thick Film Pastes 
     The composition of the crystallizing glass of the thick film pastes lies in the shaded region of the CaO-B 2  O 3  -SiO 2  glass system shown in FIG. 1B. 
     Thick film compositions are prepared by mixing inorganic powder of the appropriate size with an organic liquid. Any inert liquid can be used as the organic vehicle or dispensing medium in the practice of the invention. Water or any one of a variety of organic liquids, with or without thickening or stabilizing agents or other additives as are known in the art, such as surfactants and plasticizers, can be used. Typical of such organic liquids are the aliphatic alcohols, their esters, for example the acetates and propionates; terpenes such as pine oil, terpineol and the like, solutions of resins such as the poly methacrylates of lower alcohols, or solutions of ethyl cellulose, in solvents such as pine oil, the monobutyl ether of ethylene glycol monoacetate, and Carbitol. Plasticizers such as dimethylphthalate, dibutyl phthalate, and various other phthalates could be employed. Suitable surfactants are sold under the trademarks Triton, Solsperse, and Duomeen. The vehicle or medium can contain or be composed of volatile liquids to promote fast setting after application of the paste to the substrate. 
     A typical organic vehicle is composed as follows, the percentages being given by weight: 
     
         ______________________________________Solvent(s)           65 to 90%Plasticizer           0 to 30%Thixotropic           0 to 5%Resin                 4 to 10%Surfactant            0 to 5%______________________________________ 
    
     EXAMPLE 2 
     332 grams of glass flakes of the preferred glass from the CaO-B 2  O 3  -SiO 2  system having a composition of about 26% B 2  O 3 , about 42% CaO, and about 32% SiO 2  (Ferro Corporation Lot No. RC-5889-2) were charged into an alumina lined ball mill having a volume of 1450 ml and containing 1479 grams of a 1/2 inch sintered alumina medium. 254 ml of isopropyl alcohol were added to the mill. The mill was then closed and rotated at 71 rpm on two rubber rolls for 72 hours. After this period of time, the particle size was measured and found to be 3.71 μm. The glass powder slurry from the mill was dried at 60° C. 
     271 grams of glass flakes of the preferred noncrystallizing glass having a composition of about 71% SiO 2 , 25% B 2  O 3 , 0.5% Na 2  O, 1.0% K 2  O, and 1% Al 2  O 3  (available from the Ferro Corporation as glass EJ-70) were charged into an alumina lined ball mill having a volume of 1450 mil and containing 1479 grams of 1/2 inch sintered alumina media. 254 ml of isopropyl alcohol were added to the mill. The mill was closed and rotated at 71 rpm on two rubber rollers. The milling was continued for 46 hours. At the end of this period, the particle size was assessed to be 3.1 μm. The slurry was dried at 60° C. 
     10 grams of EJ-70 glass, 10 grams of RC-5889-2 glass and 2 grams of CaB 2  O 4  having an average particle size of about 1 to 3 μm were mixed together in a small ball jar mill with isopropyl alcohol. The slurry was poured out and dried at 60° C. The 13.5 grams of the dried powder were mixed with 6.5 grams of an organic vehicle having the following composition, by weight percent: 80% Texanol (available from Eastman Kodak Chemicals), 3.88% ethyl cellulose, 0.91% Thixatrol-ST (available from NL Chemicals), 9.2% Solsperse (available from ICI America, Inc.), and 2.99% m-pyrol. The dielectric powder was mixed with the organic vehicle in a paint shaker. 
     A paste was prepared by passing the resultant mixture four times over a 3 roll mill. 
     EXAMPLE 3 
     A paste as in Example 2 was prepared to demonstrate that to avoid entrapment of the organic vehicle, it is essential that the vehicle be volatilized before glass sintering occurs. FIG. 4 is a thermogram of the paste composition of Example 2 on an alumina substrate. FIG. 4 shows that the organic phase is completely volatilized in air before 550° C. The volatilization temperature is lower than the 680° C. glass-transition temperature of the dielectric composition. Since under typical nonisothermal thick film processing conditions there is no significant sintering below the glass transition temperature, the organic phase is volatilized well before it can be trapped. 
     EXAMPLE 4 
     The paste of Example 1 was prepared and used to demonstrate that to obtain a dense dielectric, it is important that the crystallization occur after the densification of the glass. FIG. 3 is a differential thermal analysis (DTA) of the formulation of Example 2 on an alumina substrate. The DTA was performed at 20° C. per minute in an air atmosphere. FIG. 3 shows an endothermic step due to a glass transition at 677° C. and an exothermic peak due to crystallization at 882° C. In comparison, FIG. 2, which is a DTA graph of the same formulation carried out in an air atmosphere by heating the material from 500° C. to 850° C. at 10° C. per minute, and then holding at 850° C. for 10 minutes. The onset of an exothermic peak due to crystallization occurs at 32 minutes (820° C.), and the maximum peak is reached at 36 minutes, which is one minute after the peak temperature was reached. This demonstrates the ideal crystallization behavior which resulted in the dense microstructure shown in FIG. 5. The photomicrograph of FIG. 5 was taken at 1000× at 20 Kv with a scanning electron microscope. 
     EXAMPLE 5 
     Dielectric pastes were prepared by and in the proportions listed in Table III. The glasses A and B were processed by known milling techniques as in Example 2 to an average powder size of 3 to 6 μm. Component C was likewise processed to an average powder size of 1 to 3 μm. 
     Glass A was the preferred crystallizing glass having a composition of, by weight, about 26% B 2  O 3 , about 42% CaO, and about 32% SiO 2  (Ferro Corporation Lot No. RC-5889-2). 
     Glass B was the preferred noncrystallizing glass having a composition of, by weight, about 71% SiO 2 , 26% B 2  O 3 , 0.5% Na 2  O, 1.0% K 2  O, 0.5% Li 2  O, and 1% Al 2  O 3  (available from the Ferro Corporation as glass EJ-70). 
     Component C Was the preferred crystallizing agent CaB 2  O 4 . 
     The colorant, when added, was either chromium oxide or a commercially available colorant, as are known in the art. 
     The pastes were printed on to an alumina substrate using a 200 mesh screen with a 1 mil emulsion. The pastes were dried at 100° C. for 7 minutes after leveling at room temperature for 5 to 10 minutes. The pastes were fired at 850° C. for 10 minutes with a 30 minute total cycle time in an air atmosphere. In each case, two dielectric layers were printed, dried and fired separately between the top and the bottom conductors. 3066 gold paste, available from Ferro Corporation, Cleveland, Ohio, was used as a conductor for initial evaluation of the dielectric properties. The thickness of the samples was about 35 to 40 μm. 
     The microstructure of the resulting fired dielectrics was assessed by examining a cross section under a SEM microscope, as described in Example 4, above. 
     The dielectric constant (k) and the dissipation factor measurements were made using a Model 1658 General Radio Bridge at 1 kHz. 
     The frequency dependence of the dielectric properties was studies using a Model 4192A Hewlett Packard bridge. 
     Breakdown voltage was measured by increasing the DC voltage across the sample until breakdown occurred. 
     Leakage current was measured by using a standard electrolytic hermeticity test configuration in a 1 normal NaCl solution with 10 volts applied for 5 minutes. 
     Warpage was measured using a standard test pattern and measured with a drop-dial gauge. 
     
                                           TABLE III__________________________________________________________________________Formulation    EJ-70        RC-5889-2              CaB.sub.2 O.sub.4                   Color                       k  tan δ                              BDV V/mill                                     IL μA/cm.sup.2                                           Microstructure__________________________________________________________________________LK-2     29% 70%   1%   0%  4.8                          0.11                              1109   0.00-6                                           DenseLK-5     30% 70%   0%   0%  4.8                          0.13                              871    N/A   DenseLK-6     30% 70%   0%   0%  3.3                          0.13                              852    N/A   Big poresLK-7     60% 40%   0%   0%  5.8                          0.19                              1143   N/A   DenseLK-8     40% 60%   0%   0%  5.03                          0.18                              N/A          DenseLK-9     60% 40%   0%   0%  4.5                          0.2 961    N/A   Dense with                                           few poresLK-9A    59.5%        39.5% 1%   0%  4.83                          0.18                              1016   N/ALK-10    59.5%        39.5% 1%   0%LK-11    49.5%        49.5% 1%   0%  4.42                          0.115                              N/ALK-11    49.5%        49.5%          4.42                          0.10                              N/ALK-12    39.5%        59.5% 1%   0%LK-13    59.5%        39.5% 1%LK-11-4E 48.54%        48.54%              0.97%                   1.94%LK-10-4E 54.0%        44%   0.97%                   1.94%LK-11-3(c)    48.54%        48.54%              0.97%                   1.94%                       5.13                          0.58                              979    N/ALK-10-4G 49.64%        49.04%              0.98%                   1.00%  0.2 &gt;1500LK-11-4G 49.64%        49.04%            0.2LK-11-BC 49.54%        49.51%              4        4.89                          0.11                              770LK-11-Cr.sub.2 O.sub.3    49.25%        49.25%              1    Cr.sub.2 O.sub.3                   0.5%(Milled together)    49.25%        49.25%              1%   Cr.sub.2 O.sub.3                       4.57                          0.31                              990NM428A                  0.5%(Separate)    49.25%        49.25%              1%   0.5%                       4.39                          0.22                              1036NM428BNM428C   47.75%        47.75%              4%   0.5%                       5.00                          0.18                              &gt;1009LK-11A   49.5%        49.5% 1%   0%  4.82                          0.20                              580    N/A   Very denseLK-11C   49.5%        49.5% 1%   0%  5.0                          0.19                              653          Very denseLK-11D   49.5%        49.5% 1%   0%  4.96                          0.18                              1378         Very denseLK-11F   49.5%        49.5% 1%   0%  5.58                          0.19                              435          Very denseLK-11G   49.5%        49.5% 1%   0%  4.5                          0.19                              N/A          N/ALK-11E   49.5%        49.5% 1%   0%  4.8LK-11    49.5%        49.5% 1%   0%  4.9LK-11-2B 49.5%        49.5% 1%   0%  4.35                          0.25                              586          Dense                                           few poresLK-11-2E 49.5%        49.5% 1%   0%  4.33                          0.22                              560          Dense                                           few poresLK-11-2F 49.5%        49.5% 1%   0%  4.04                          0.1 731          DenseLK-11-2H 49.5%        49.5% 1%   0%  3.76                          0.08                              944          PorousLK-11-3E 49.5%        49.5% 1%   0%  4.95                          0.17                              600          Very denseLK-11-3E 49.5%        49.5% 1%   0%  4.95                          0.15                              762          Very dense400° C. (C)LK-11-3E 49.5%        49.5% 1%   0%  4.88                          0.4 &gt;1793        Very dense                              v/mLK-11-3E (C)    49.5%        49.5% 1%   0%  4.9                          0.2 &gt;1679LK-11-3H 49.5%        49.5% 1%   0%  4.4                          0.3 &gt;1622        Dense with                                           less pores__________________________________________________________________________ 
    
     
                       TABLE IV______________________________________Dielectric constant at 1 kHz                   4.5-5.2Dissipation factor at 1 kHz                   &lt;0.003Insulation resistance at 200 v D.C.                   &gt;10.sup.11 ΩBreakdown voltage (D.C.)                   &gt;1000 v/milWarpage at 10 layers    &lt;1 mil/inchLeakage current at 2 layers                   &lt;10 μA/cm.sup.2______________________________________ 
    
     Table IV summarizes the properties of the preferred dielectric composition made in accordance with Example 2 by the method of Example 5. The dielectric properties were measured in a capacitor geometry with a 6 cm 2  area. 
     To stimulate the effect of humidity in an actual working environment, the electric properties of a dielectric material made in accordance with Examples 2 and 5 were measured, the material was then submerged in boiling water for about an hour, and the properties remeasured. The properties remained unchanged by the boiling water treatment. 
     Warpage was measured on a sample having the composition LK-11H on Table III. 
     That the preferred dielectric formulation is suitable for use with alumina substrates is readily appreciable from the warpage data. Since warpage is governed by the coefficient of thermal expansion, small or negligible amounts indicate that the CTE of the dielectric is matched or essentially equal to the CTE of the alumina substrate. Matching or essentially equal in this context does not necessarily require mathematical precision, only a sufficient matching to allow the dielectric ceramic and the alumina substrate to operate together as a circuit. 
     Many modifications and variations of the invention will be apparent to those skilled in the art in light of the foregoing detailed disclosure. Therefore, it is to be understood that, within the scope of the appended claims, the invention can be practiced otherwise than as specifically described.