Patent Publication Number: US-2013240794-A1

Title: Boron-comprising inks for forming boron-doped regions in semiconductor substrates using non-contact printing processes and methods for fabricating such boron-comprising inks

Description:
PRIORITY CLAIMS 
     This is a divisional application of U.S. application Ser. No. 12/344,745, filed Dec. 29, 2008. 
    
    
     FIELD OF THE INVENTION 
     The present invention generally relates to dopants and methods for doping regions of semiconductor-comprising substrates, and more particularly relates to boron-comprising inks for forming boron-doped regions in semiconductor substrates using non-contact printing processes and methods for fabricating such boron-comprising inks. 
     BACKGROUND OF THE INVENTION 
     Doping of semiconductor substrates with conductivity-determining type impurities, such as n-type and p-type ions, is used in a variety of applications that require modification of the electrical characteristics of the semiconductor substrates. Well-known methods for performing such doping of semiconductor substrates include photolithography and screen printing. Photolithography requires the use of a mask that is formed and patterned on the semiconductor substrate. Ion implantation then is performed to implant conductivity-determining type ions into the semiconductor substrate in a manner corresponding to the mask. Similarly, screen printing utilizes a patterned screen that is placed on the semiconductor substrate. A screen printing paste containing the conductivity-determining type ions is applied to the semiconductor substrate over the screen so that the paste is deposited on the semiconductor substrate in a pattern that corresponds inversely to the screen pattern. After both methods, a high-temperature anneal is performed to cause the impurity dopants to diffuse into the semiconductor substrate. 
     In some applications such as, for example, solar cells, it is desirable to dope the semiconductor substrate in a pattern having very fine lines or features. The most common type of solar cell is configured as a large-area p-n junction made from silicon. In one type of such solar cell  10 , illustrated in  FIG. 1 , a silicon wafer  12  having a light-receiving front side  14  and a back side  16  is provided with a basic doping, wherein the basic doping can be of the n-type or of the p-type. The silicon wafer is further doped at one side (in  FIG. 1 , front side  14 ) with a dopant of opposite charge of the basic doping, thus forming a p-n junction  18  within the silicon wafer. Photons from light are absorbed by the light-receiving side  14  of the silicon to the p-n junction where charge carriers, i.e., electrons and holes, are separated and conducted to a conductive contact, thus generating electricity. The solar cell is usually provided with metallic contacts  20 ,  22  on the light-receiving front side as well as on the back side, respectively, to carry away the electric current produced by the solar cell. The metal contacts on the light-receiving front side pose a problem in regard to the degree of efficiency of the solar cell because the metal covering of the front side surface causes shading of the effective area of the solar cell. Although it may be desirable to reduce the metal contacts as much as possible so as to reduce the shading, a metal covering of approximately 5% remains unavoidable since the metallization has to occur in a manner that keeps the electrical losses small. In addition, contact resistance within the silicon adjacent to the electrical contact increases significantly as the size of the metal contact decreases. However, a reduction of the contact resistance is possible by doping the silicon in narrow areas  24  directly adjacent to the metal contacts on the light-receiving front side  14 . 
       FIG. 2  illustrates another common type of solar cell  30 . Solar cell  30  also has a silicon wafer  12  having a light-receiving front side  14  and a back side  16  and is provided with a basic doping, wherein the basic doping can be of the n-type or of the p-type. The light-receiving front side  14  has a rough or textured surface that serves as a light trap, preventing absorbed light from being reflected back out of the solar cell. The metal contacts  32  of the solar cell are formed on the back side  16  of the wafer. The silicon wafer is doped at the backside relative to the metal contacts, thus forming p-n junctions  18  within the silicon wafer. Solar cell  30  has an advantage over solar cell  10  in that all of the metal contacts of the cell are on the back side  16 . In this regard, there is no shading of the effective area of the solar cell. However, for all contacts to be formed on the back side  16 , the doped regions adjacent to the contacts have to be quite narrow. 
     As noted above, both solar cell  10  and solar cell  30  benefit from the use of very fine, narrow doped regions formed within a semiconductor substrate. However, the present-day methods of doping described above, that is, photolithography and screen printing, present significant drawbacks. For example, it is prohibitively difficult, if not impossible, to obtain very fine and/or narrow doped regions in a semiconductor substrate using screen printing. In addition, while doping of substrates in fine-lined patterns is possible with photolithography, photolithography is an expensive and time consuming process. In addition, both photolithography and screen printing involve contact with the semiconductor substrate. However, in applications such as solar cells, the semiconductor substrates are becoming very thin. Contact with thin substrates often results in breaking of the substrates. Further, screen printing cannot be used to dope rough or textured surfaces, which are commonly used in solar cell design to trap light within the semiconductor substrate. Moreover, because photolithography and screen printings use custom designed masks and screens, respectively, to dope the semiconductor substrate in a pattern, reconfiguration of the doping pattern is expensive because new masks or screens have to be developed. 
     Accordingly, it is desirable to provide boron-comprising inks for forming boron-doped regions in semiconductor substrates using non-contact printing processes. It also is desirable to provide methods for fabricating boron-comprising inks for forming such boron-doped regions using non-contact printing. Furthermore, other desirable features and characteristics of the present invention will become apparent from the subsequent detailed description of the invention and the appended claims, taken in conjunction with the accompanying drawings and this background of the invention. 
     BRIEF SUMMARY OF THE INVENTION 
     A boron-comprising ink is provided in accordance with an exemplary embodiment of the present invention. The boron-comprising ink comprises boron from or of a boron-comprising material and a spread-minimizing additive that results in a spreading factor of the boron-comprising ink in a range of from about 1.5 to about 6. The boron-comprising ink has a viscosity in a range of from about 1.5 to about 50 centipoise and, when deposited on a semiconductor substrate, provides a post-anneal sheet resistance in a range of from about 10 to about 100 ohms/square, a post-anneal doping depth in a range of from about 0.1 to about 1 μm, and a boron concentration in a range of from about 1×10 19  to 1×10 20  atoms/cm 3 . 
     A method for fabricating a boron-comprising ink is provided in accordance with an exemplary embodiment of the present invention. The method comprises the steps of providing an inorganic boron-comprising material, combining the inorganic boron-comprising material with a polar solvent having a boiling point in a range of about 50° C. to about 250° C., and combining the inorganic boron-comprising material with a spread-minimizing additive that results in a spreading factor of the boron-comprising ink in a range of from about 1.5 to about 6. 
     A method for formulating a boron-comprising ink is provided in accordance with another exemplary embodiment of the present invention. The method comprises the steps of combining an amine and a boron donor, heating the amine and the boron donor combination to form a polymeric borazole resin, adding a solvent having a boiling point in a range of about 50° C. to about 250° C. to the polymeric borazole resin, adding a spread-minimizing additive that results in a spreading factor of the boron-comprising ink in a range of from about 1.5 to about 6, and adding a viscosity modifier to the polymeric borazole resin. The viscosity modifier results in the boron-comprising ink having a viscosity in a range of from about 1.5 to about 50 centipoise. 
     A method for fabricating a boron-comprising ink is provided in accordance with a further exemplary embodiment of the present invention. The method comprises the steps of providing boron-comprising nanoparticles having an average dimension of no greater than 100 nm and combining the boron-comprising nanoparticles with a dispersant that forms a uniform and stable suspension with the boron-comprising nanoparticles. A spread-minimizing additive that results in a spreading factor of the boron-comprising ink in a range of from about 1.5 to about 6 is added. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The present invention will hereinafter be described in conjunction with the following drawing figures, wherein like numerals denote like elements, and wherein: 
         FIG. 1  is a schematic illustration of a conventional solar cell with a light-side contact and a back side contact; 
         FIG. 2  is a schematic illustration of another conventional solar cell with back side contacts; 
         FIG. 3  is a cross-sectional view of an inkjet printer mechanism distributing ink on a substrate; 
         FIG. 4  is a cross-sectional view of an aerosol jet printer mechanism distributing ink on a substrate; 
         FIG. 5  is a flowchart of a method for forming boron-doped regions in a semiconductor substrate using an non-contact printing process in accordance with an exemplary embodiment of the present invention; 
         FIG. 6  is a flowchart of a method for fabricating a boron-comprising ink for use in the method of  FIG. 5  in accordance with an exemplary embodiment of the present invention; 
         FIG. 7  is a flowchart of a method for fabricating a boron-comprising ink for use in the method of  FIG. 5  in accordance with another exemplary embodiment of the present invention; 
         FIG. 8  is an illustration of the molecular structure of a polymer borazole resin formed in accordance with the method of  FIG. 7 ; and 
         FIG. 9  is a flowchart of a method for fabricating a boron-comprising ink for use in the method of  FIG. 5  in accordance with yet another exemplary embodiment of the present invention. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     The following detailed description of the invention is merely exemplary in nature and is not intended to limit the invention or the application and uses of the invention. Furthermore, there is no intention to be bound by any theory presented in the preceding background of the invention or the following detailed description of the invention. 
     Boron-comprising inks for forming boron-doped regions in semiconductor substrates using non-contact printing processes and methods for fabricating such boron-comprising inks are provided herein. As used herein, the term “non-contact printing process” means a process for depositing a liquid conductivity-determining type dopant selectively on a semiconductor material in a predetermined patterned without the use of a mask, screen, or other such device. Examples of non-contact printing processes include but are not limited to “inkjet printing” and “aerosol jet printing.” Typically, the terms “inkjet printing,” an “inkjet printing process,” “aerosol jet printing,” and an “aerosol jet printing process” refer to a non-contact printing process whereby a liquid is projected from a nozzle directly onto a substrate to form a desired pattern. In an inkjet printing mechanism  50  of an inkjet printer, as illustrated in  FIG. 3 , a print head  52  has several tiny nozzles  54 , also called jets. As a substrate  58  moves past the print head  52 , or as the print head  52  moves past the substrate, the nozzles spray or “jet” ink  56  onto the substrate in tiny drops, forming images of a desired pattern. In an aerosol jet printing mechanism  60 , illustrated in  FIG. 4 , a mist generator or nebulizer  62  atomizes a liquid  64 . The atomized fluid  66  is aerodynamically focused using a flow guidance deposition head  68 , which creates an annular flow of sheath gas, indicated by arrow  72 , to collimate the atomized fluid  66 . The co-axial flow exits the flow guidance head  68  through a nozzle  70  directed at the substrate  74  and focuses a stream  76  of the atomized material to as small as a tenth of the size of the nozzle orifice (typically 100 μm). Patterning is accomplished by attaching the substrate to a computer-controlled platen, or by translating the flow guidance head while the substrate position remains fixed. 
     Such non-contact printing processes are particularly attractive processes for fabricating doped regions in semiconductor substrates for a variety of reasons. First, unlike screen printing or photolithography, only an ink used to form the doped regions touches or contacts the surface of the substrate upon which the ink is applied. Thus, because the breaking of semiconductor substrates could be minimized compared to other known processes, non-contact printing processes are suitable for a variety of substrates, including rigid and flexible substrates. In addition, non-contact printing processes are additive processes, meaning that the ink is applied to the substrate in the desired pattern. Thus, steps for removing material after the printing process, such as are required in photolithography, are eliminated. Further, because non-contact printing processes are additive processes, they are suitable for substrates having smooth, rough, or textured surfaces. Non-contact printing processes also permit the formation of very fine features on semiconductor substrates. In one embodiment, features, such as, for example, lines, dots, rectangles, circles, or other geometric shapes, having at least one dimension of less than about 200 μm can be formed. In another exemplary embodiment, features having at least one dimension of less than about 100 μm can be formed. In a preferred embodiment, features having at least one dimension of less than about 20 μm can be formed. In addition, because non-contact printing processes involve digital computer printers that can be programmed with a selected pattern to be formed on a substrate or that can be provided the pattern from a host computer, no new masks or screens need to be produced when a change in the pattern is desired. All of the above reasons make non-contact printing processes cost-efficient processes for fabricating doped regions in semiconductor substrates, allowing for increased throughput compared to screen printing and photolithography. 
     Referring to  FIG. 5 , a method  100  for forming a boron-doped region in a semiconductor substrate includes the step of providing a semiconductor substrate (step  102 ). As used herein, the term “semiconductor substrate” will be used to encompass semiconductor materials conventionally used in the semiconductor industry from which to make electrical devices. Semiconductor materials include monocrystalline silicon materials, such as the relatively pure or lightly impurity-doped monocrystalline silicon materials typically used in the semiconductor industry, as well as polycrystalline silicon materials, and silicon admixed with other elements such as germanium, carbon, and the like. In addition, “semiconductor substrate” encompasses other semiconductor materials such as relatively pure and impurity-doped germanium, gallium arsenide, and the like. In this regard, the method  100  can be used to fabricate a variety semiconductor devices including, but not limited to, microelectronics, solar cells, displays, RFID components, microelectromechanical systems (MEMS) devices, optical devices such as microlenses, medical devices, and the like. 
     The method  100  further includes the step of providing an ink formed of or from a boron-comprising material (hereinafter, a “boron-comprising ink”) (step  104 ), which step may be performed before, during or after the step of providing the semiconductor substrate. Methods for fabricating a boron-comprising ink are described in more detail in reference to  FIGS. 6-9 . The boron-comprising ink should meet at least one of several performance criteria for non-contact printing. First, the ink is formulated so that it can be printed to form fine or small features, such as lines, dots, circles, squares, or other geometric shapes. In one exemplary embodiment of the invention, the ink is formulated so that features having at least one dimension of less than about 200 μm can be printed. In another exemplary embodiment of the invention, the ink is formulated so that features having at least one dimension less than about 100 μm can be printed. In a preferred embodiment of the present invention, the ink is formulated so that features having a dimension of less than about 20 μm can be printed. 
     Second, during the printing process and during pausing of the printing process, the ink results in minimal, if any, clogging of the non-contact printer nozzles. Clogging of the nozzles results in down-time of the printer, thus reducing throughput. In one exemplary embodiment, the boron-comprising ink has a viscosity in the range of about 1.5 to about 50 centipoise (cp). Further, the ink is formulated so that, after it is deposited on the substrate and high-temperature annealing (discussed in more detail below) is performed, the resulting doped region has a sheet resistance in the range of about 10 to about 100 ohms/square (Ω/). 
     Moreover, the ink is formulated so that the boron and/or the boron-comprising ink do not significantly diffuse from the penned area, that is, the area upon which the ink is deposited, into unpenned areas before the high temperature anneal is performed. Significant diffusion of the boron and/or the boron-comprising ink from the penned area, either by vapor transport or by diffusion through the substrate, before annealing at the proper annealing temperature may significantly adversely affect the electrical properties of devices comprising the resulting doped regions. The boron-comprising ink also is formulated so that significant diffusion of the boron from the penned area into unpenned areas during the annealing process is minimized or prevented altogether. In other words, localized doping, in contrast to blanket doping, is desirably effected. Significant diffusion of the boron from the penned area into unpenned areas, either by vapor transport or by diffusion through the substrate during the annealing process, should be minimized or eliminated so as to achieve localized doping without significantly changing the boron distribution outside of the penned area. In addition, the ink provides for shallow but highly concentrated doping, with a post-anneal doping depth in the range of from about 0.1 to about 1 micrometers (μm) and a boron concentration in the range of about 1×10 19  to 1×10 20  atoms/cm 3 . 
     The boron-comprising ink is applied to the substrate using a non-contact printer (step  106 ). The boron-comprising ink is applied to the substrate in a pattern that is stored in or otherwise supplied to the printer. Examples of inkjet printers suitable for use include, but are not limited to, Dimatix Inkjet Printer Model DMP 2811 available from Fujifilm Dimatix, Inc. of Santa Clara, Calif. An example of an aerosol jet printer suitable for use includes, but is not limited, to, an M3D Aerosol Jet Deposition System available from Optomec, Inc. of Albuquerque, N. Mex. Preferably, the ink is applied to the substrate at a temperature in the range of about 15° C. to about 80° C. in a humidity of about 20 to about 80%. Once the pattern of boron-comprising ink is formed on the substrate, the substrate is subjected to a high-temperature thermal treatment or “anneal” to cause the boron of the boron-comprising ink to diffuse into the substrate, thus forming boron-doped regions within the substrate (step  108 ). The time duration and the temperature of the anneal is determined by such factors as the initial boron concentration of the boron-comprising ink, the thickness of the ink deposit, the desired concentration of the resulting boron-doped region, and the depth to which the boron is to diffuse. In one exemplary embodiment of the present invention, the substrate is placed inside an oven wherein the temperature is ramped up to a temperature in the range of about 800° C. to about 1200° C. and the substrate is baked at this temperature for about 2 to about 90 minutes. Annealing also may be carried out in an in-line furnace to increase throughput. The annealing atmosphere may contain 0-100% oxygen in an oxygen/nitrogen or oxygen/argon mixture. In a preferred embodiment, the substrate is subjected to an anneal temperature of about 1050° C. for about ten (10) minutes in an oxygen ambient. 
     Boron-comprising inks used in the method of  FIG. 5  may be manufactured using a variety of boron-contributing materials. In accordance with one exemplary embodiment of the present invention, the boron-comprising ink may be formed from an inorganic boron-comprising material. Referring to  FIG. 6 , in accordance with an exemplary embodiment of the present invention, a method  150  for fabricating a boron-comprising ink includes the step of providing an inorganic boron-comprising material (step  152 ). Inorganic boron-comprising materials for use in method  150  include, but are not limited to, boric acid (B(OH) 3 ), boron oxide (B 2 O 3 ), and other borates having the formula B(OR) 3 , where R is an alkyl group, such as, for example, a methyl, ethyl, or propyl group, or a combination thereof. 
     The method further includes combining the inorganic boron-comprising material with a polar solvent. Polar solvents suitable for use comprise any suitable polar pure fluid or mixture of fluids that is capable of forming a solution with the boron-comprising material and that causes the boron-comprising ink to have a viscosity in the range of about 1.5 to about 50 cp. In some contemplated embodiments, the solvent or solvent mixture may comprise those solvents that are not considered part of the hydrocarbon solvent family of compounds, such as alcohols, ketones (such as acetone, diethylketone, methylethylketone, and the like), esters, ethers, amides and amines. Examples of solvents suitable for use in formulating the boron-comprising ink include alcohols, such as methanol, ethanol, propanol, butanol, and pentanol, anhydrides, such as acetic anhydride, and other solvents such as propylene glycol monoether acetate and ethyl lactate, and mixtures thereof. The inorganic boron-comprising material may be combined with the polar solvent using any suitable mixing or stirring process that forms a homogeneous mixture. For example, a reflux condenser, a low speed sonicator or a high shear mixing apparatus, such as a homogenizer, a microfluidizer, a cowls blade high shear mixer, an automated media mill, or a ball mill, may be used for several seconds to an hour or more to combine the components. 
     In preferred embodiment of the invention, the boron-comprising material is combined with at least one polar solvent having a high boiling point in the range of about 50° C. to about 250° C. In this regard, the boiling point of the resulting dopant-comprising ink is modified to minimize the drying rate of the ink and, thus, minimize clogging of the printer nozzles. Examples of solvents with high boiling points suitable for use include ethanol, iso-stearic acid, propylene glycol butyl ether, ethylene glycol, triethylene glycol, and the like, and combinations thereof. 
     In another exemplary embodiment, a spread-minimizing additive is added (step  156 ). The spread-minimizing additive is an additive that modifies the surface tension, and/or wettability of the boron-comprising ink so that spreading of the ink when penned onto the substrate is minimized In a preferred embodiment of the invention, the boron-comprising ink has a spreading factor in the range of from about 1.5 to about 6. The term “spreading factor” of a non-contact printing process ink is defined in terms of an inkjet printing process and is the ratio of the average diameter of a dot of the ink deposited by a nozzle of an inkjet printer to the diameter of the nozzle when the semiconductor substrate is at a temperature in a range of from 50° C. to about 60° C., the temperature of the ink at the nozzle is in a range of about 20° C. to about 22° C., the distance between the tip of the nozzle proximate to the substrate and the substrate is about 1.5 millimeters (mm) and the jetting frequency, that is, the number of ink drops jetted from the nozzle per second, is 2 kilohertz (kHz). By minimizing the spreading of the ink on the substrate, fine features, such as those described above having at least one feature that is less than about 200 μm or smaller, can be achieved. Examples of spread-minimizing additives include, but are not limited to, iso-stearic acid, polypropylene oxide (PPO), such as polypropylene oxide having a molecular weight of 4000 (PPO4000), vinylmethylsiloxane-dimethylsiloxane copolymer, such as VDT131 available form Gelest, Inc. of Tullytown, Pa., polyether-modified polysiloxanes, such as Tegophren 5863 available from Evonik Degussa GmbH of Essen, Germany, other organo-modified polysiloxanes, such as Tegoglide 420 also available from Evonik Degussa GmbH, and the like, and combinations thereof. 
     In an optional exemplary embodiment of the invention, a functional additive is added to the inorganic boron-comprising material before, during, or after combination with the solvent (step  158 ). For example, it may be desirable to minimize the amount of the resulting boron and/or boron-comprising ink that diffuses beyond the penned area into unpenned areas of the substrate before the predetermined annealing temperature of the annealing process is reached. As noted above, diffusion of the boron and/or boron-comprising ink beyond the penned area into unpenned areas before annealing can significantly affect the electrical characteristics of the resulting semiconductor device that utilizes the subsequently-formed doped region. Thus, in a further exemplary embodiment, a viscosity modifier that results in the boron-comprising ink having a viscosity in the range of about 1.5 to about 50 cp is added. Preferably, the resulting boron-comprising ink is soluble in the viscosity modifier. Examples of such viscosity-modifiers include glycerol, polyethylene glycol, polypropylene glycol, ethylene glycol/propylene glycol copolymer, organo-modified siloxanes, ethylene glycol/siloxane copolymers, polyelectrolyte, oleic acid and the like, and combinations thereof. Examples of other suitable additives that may be added to the inorganic boron-comprising material include dispersants, surfactants, polymerization inhibitors, wetting agents, antifoaming agents, detergents and other surface-tension modifiers, flame retardants, pigments, plasticizers, thickeners, rheology modifiers, and mixtures thereof. 
     In accordance with another exemplary embodiment of the present invention, the boron-comprising ink may be formed so that it comprises a polymeric borazole (PBZ) resin. Referring to  FIG. 7 , in accordance with an exemplary embodiment of the present invention, a method  200  for fabricating a boron-comprising ink comprising a PBZ resin includes the step of combining a boron donor and an amine to form a PBZ resin (step  202 ). The boron donor may comprise boron halides such as boron trichloride (BCl 3 ), boron tribromide (BBr 3 ), and boron trifluoride (BF 3 ), and alkylboron compounds such as boron trifluoride etherate (CH 3 CH 2 )OBF 3 , methyldicloroboron ((CH 3 )BCl 2 ), and the like, and combinations thereof. The amine may comprise an alkylamine such as, for example, cyclohexylamine, butylamine, hexylamine, dipropylamine, tripropylamine, and combinations thereto. In one exemplary embodiment, the boron donor and the amine are combined at temperatures in the range of about −60° C. and about −5° C. to form an intermediate triaminoborane and amine hydrochloride salt. In another exemplary embodiment, the boron donor and the amine are combined in the presence of an inert, non-polar solvent or solvent mixture with a relatively low boiling point. Examples of suitable inert solvents include low boiling point hydrocarbon solvents such as pentane, hexane, heptane, and octane, which have a boiling point of less than about 100° C. The solvent may be added first to the boron donor, first to the amine, or may be added when the boron donor and the amine are combined. 
     The reaction mixture is filtered to remove the amine hydrochloride salt to obtain a solution containing the triaminoborane intermediate. The low boiling point solvent in the solution then is evaporated to produce a neat triaminoborane. In one exemplary embodiment, the solvent is heated under nitrogen atmosphere to about 300° C. for about one to about two hours and then further heated to about 380° C. to about 420° C. for about two to about four hours. Upon completion of the polymerization reaction, a PBZ resin having the molecular structure illustrated in  FIG. 8  is formed, where X and Y can be hydrogen, a halogen such as chlorine, a hydroxyl group, an alkyl group, an aryl group, or a cycloalkyl group and n is a number in the range of from about 5 to about 100. 
     Referring back to  FIG. 7 , in accordance with one exemplary embodiment of the invention, once formed the PBZ resin can be isolated, such as by filtering the PBZ resin from solution, and a spread-minimizing additive is added thereto (step  204 ). Any of the above-described spread-minimizing additives may be used. The polymeric borazole resin also is combined with at least one solvent having a high boiling point in the range of about 50° C. to about 250° C. (step  206 ). In this regard, the boiling point of the resulting boron-comprising ink is adjusted to minimize the drying rate of the ink. Examples of solvents with high boiling points suitable for use include any of the high boiling point non-polar solvents. In some contemplated embodiments, the solvent or solvent mixture comprises aliphatic, cyclic, and aromatic hydrocarbons. Aliphatic hydrocarbon solvents may comprise both straight-chain compound and compounds that are branched. Cyclic hydrocarbon solvents are those solvents that comprise at least three carbon atoms oriented in a ring structure with properties similar to aliphatic hydrocarbon solvents. Aromatic hydrocarbon solvents are those solvents that comprise generally benzene or naphthalene structures. Contemplated hydrocarbon solvents include toluene, xylene, p-xylene, m-xylene, mesitylene, solvent naphtha H, solvent naphtha A, alkanes, such as pentane, hexane, isohexane, heptane, nonane, octane, dodecane, 2-methylbutane, hexadecane, tridecane, pentadecane, cyclopentane, 2,2,4-trimethylpentane, petroleum ethers, halogenated hydrocarbons, such as chlorinated hydrocarbons, nitrated hydrocarbons, benzene, 1,2-dimethylbenzene, 1,2,4-trimethylbenzene, mineral spirits, kerosene, isobutylbenzene, methylnaphthalene, ethyltoluene, and ligroine. 
     In an optional embodiment of the present invention, other functional additives also may be added to the PBZ resin (step  208 ). For example, a viscosity modifier can be added to cause the resulting boron-comprising ink to have a viscosity in the range of about 1.5 to about 50 cp. An example of a viscosity modifier suitable for use in preparing the boron-comprising ink includes, but is not limited to, polypropylene glycol. Any of the other above-described functional additives also may be added. While  FIG. 7  illustrates that the step of adding a functional additive (step  208 ) is performed after the step of adding a high boiling-point solvent (step  206 ) and after the step of adding a spread-minimizing additive (step  204 ), it will be appreciated that the functional additive can be added before, during, or after the step of adding the spread-minimizing additive (step  204 ) and/or before, during, or after the step of adding the high boiling-point solvent (step  206 ). 
     In accordance with a further exemplary embodiment of the present invention, the boron-comprising ink may be formed from boron-comprising nanoparticles. Referring to  FIG. 9 , in accordance with an exemplary embodiment of the present invention, a method  250  for fabricating a boron-comprising ink includes the step of providing boron-comprising nanoparticles (step  252 ). Examples of boron-comprising nanoparticles suitable for fabricating a boron-comprising ink include, but are not limited to, boron oxide nanoparticles, boron nitride nanoparticles, boron carbide nanoparticles, and boron (metal) nanoparticles. In one exemplary embodiment, the boron-comprising nanoparticles have an average dimension, such as an average diameter, length, or width, that is no greater than 100 nm. In a preferred embodiment, the boron-comprising nanoparticles have an average dimension of no larger than about 10 nm. A smaller size of nanoparticle facilitates less tendency for clogging and more uniform distribution of the boron-comprising ink. 
     The method  250  further includes combining the boron-comprising nanoparticles with at least one dispersant that forms a uniform and stable suspension with the nanoparticles and does not dissolve the nanoparticles (step  254 ). In one exemplary embodiment, a dispersant that stabilizes the nanoparticles by adjusting the pH of the nanoparticles so that they are alkaline, that is, with a pH greater than about 7, is combined with the nanoparticles. An example of such a dispersant includes, but is not limited to, ammonium hydroxide, sodium hydroxide, and tetramethylammonium hydroxide. In this regard, at least a portion of the boron on the surface of the nanoparticles forms BO − NH4 + , which prevents agglomeration of the nanoparticles by electrostatic repulsion. In another exemplary embodiment, a dispersant that stabilizes the nanoparticles with organic groups is combined with the nanoparticles. Examples of such dispersants include, but are not limited to, alkylchlorosilanes, trialkylchlorosilanes, acetyl chloride, acetyl anhydride, and alkylalkoxysilanes. In this regard, at least a portion of the boron on the surface of the nanoparticles forms stable B—O—SiR 3 , B—O—R, or B—O—COR, where R is an alkyl or alkoxy group. In a further exemplary embodiment, a dispersant that stabilizes the nanoparticles by charging the nanoparticles is combined therewith. Examples of such dispersants include, but are not limited to, aminoalkylalkoxy silanes. In this regard, at least a portion of the boron on the surface of the nanoparticles forms B—O—SiR 2 NH 2 , where R is an alkyl or alkoxy group. The nanoparticles then can be further stabilized by protonation. Protonation can be achieved by adding an acid, such as, for example, nitric acid, to form B—O—SiR 2 NH 3   + . The dispersant also may comprise a combination of the stabilizing dispersants described above. The nanoparticles and the dispersant are mixed using any suitable mixing or agitation process that facilitates formation of a homogeneous and stable suspension, such as any of the suitable methods described above. Heat also may be used to facilitate formation of the suspension. 
     A spread-minimizing additive also is added to the boron-comprising nanoparticles (step  256 ). Any of the above-described spread-minimizing additives may be used. While  FIG. 9  illustrates that the step of adding the spread-minimizing additive (step  256 ) is performed after the step of combining the nanoparticles with the dispersant (step  254 ), it will be appreciated that the spread-minimizing additive also may be added to the nanoparticles before or during the step of combining the nanoparticles with the dispersant. The nanoparticles, with or without reaction with a dispersant, and the spread-minimizing additive are mixed using any suitable mixing or agitation process that facilitates formation of a homogeneous and stable suspension, such as any of the suitable methods described above. Heat also may be used to facilitate formation of the suspension. 
     In an optional exemplary embodiment of the invention, one or more other functional additives may be added to the nanoparticles before, during, or after combination with the dispersant (step  258 ). Examples of other suitable additives that may be added include dispersants, surfactants, polymerization inhibitors, wetting agents, antifoaming agents, detergents and other surface-tension modifiers, flame retardants, pigments, plasticizers, thickeners, viscosity modifiers, rheology modifiers, and mixtures thereof. While  FIG. 9  illustrates that the step of adding one or more other functional additives (step  258 ) is performed after the step of adding the spread-minimizing additive (step  256 ), it will be appreciated that the other functional additive(s) may be added to the nanoparticles before, during, or after the step of combining the nanoparticles with the dispersant (step  254 ). 
     The following are examples of methods for fabricating boron-comprising inks for use in forming boron-doped regions of semiconductor substrates using non-contact printing processes. The examples are provided for illustration purposes only and are not meant to limit the various embodiments of the present invention in any way. 
     EXAMPLE 1 
     In an exemplary embodiment of the present invention, a boron-comprising ink was prepared by dissolving about 3.5 grams (gm) boric acid in about 46.5 gm ethanol. The solution was spun onto a four-inch n-type wafer at 500 revolutions per minute (rpm) with no baking. The coated wafer was heated at 1050° C. for 10 minutes in 2.5% oxygen. The wafer was deglazed using 20:1 diluted hydrofluoric acid (DHF). Sheet resistance after deglazing, measured using a four-point probe test, was 75 ohms/sq. 
     EXAMPLE 2 
     In an exemplary embodiment of the present invention, a boron-comprising ink was prepared by dissolving about 3.51 gm boron oxide in about 46.5 gm ethanol. The solution was spun onto a four-inch n-type wafer at 500 rpm with no baking. The coated wafer was heated at 1050° C. for 10 minutes in 2.5% oxygen. The wafer was deglazed using 20:1 DHF. Sheet resistance after deglazing, measured using a four-point probe test, was 82 ohms/sq. 
     EXAMPLE 3 
     A polymeric borazole (PBZ) resin was prepared from a high temperature polymerization of boron trichloride and cyclohexylamine A PBZ solution A ink then was prepared by dissolving 450 gm PBZ resin in 1060 gm toluene. About 160 gm cyclohexylamine was added and mixed thoroughly. The final PBZ solution A ink had a solid content of about 37%. 
     A PBZ solution B ink was prepared by mixing 450 gm PBZ solution A ink with 400 gm toluene and 40 gm cyclohexylamine 
     The PBZ solution B ink was spun onto a four-inch n-type wafer at a spin speed of 1000 rpm with no baking. The coated wafer was then heated to 1050° C. for 30 minutes in 2.5% oxygen. The film thickness was about 204 nm. The sheet resistance after deglazing in 20:1 DHF was 14.8 ohms/sq. 
     The PBZ solution B ink also was spun onto a four-inch n-type wafer at a spin speed of 1000 rpm with no baking. The coated wafer then was heated to 950° C. for 30 minutes in air. The sheet resistance after deglazing in 20:1 DHF was 47 ohms/sq. 
     EXAMPLE 4 
     An ink comprising 20.6 weight percent (wt. %) PBZ resin formed as described in Example 3, 55.9 wt. % xylene, 14.7 wt. % cyclohexylamine and 8.8 wt% polypropylene glycol (molecular weight of 4000) was prepared. The viscosity of the ink was 11.6 cp. The solution was spun onto a four-inch n-type wafer at 1000 rpm with no baking. The coated wafer was heated to about 1050° C. in air and held at 1050° C. for about 15 minutes. The wafer was deglazed in 20:1 DHF. The sheet resistance after deglazing as measured using a four-point probe test was 10.6 ohm/sq. An area of 2 centimeters (cm) by 2 cm was printed using a Dimatix Inkjet Printer Model DMP 2811 with a nozzle having a 21 micrometer μm diameter. 
     EXAMPLE 5 
     An ink comprising 63.5 wt. % PBZ resin formed as described in Example 3 and 36.5 wt. % xylene was prepared. The viscosity of the solution was about 7.0 cp. A film was print-coated onto a four-inch n-type wafer using a Dimatix Inkjet Printer Model DMP 2811. The printed wafer was heated to about 1050° C. in about 15% oxygen and held at that temperature for about 30 minutes. The wafer was deglazed in 20:1 DHF. Sheet resistance of the printed areas was 18.9 ohms/sq. 
     EXAMPLE 6 
     An ink comprising 93.3 wt. % PBZ solution B ink formed as described in Example 3 and 16.7 wt. % oleic acid was prepared. Viscosity of the solution was about 3.4 cp. The solution was spun onto a four-inch n-type wafer at 1000 rpm with baking at 80° C. for one minute, 170° C. for one minute, and 250° C. for one minute. The coated wafer then was heated to 1050° C. in 15% oxygen and held at that temperature for 30 minutes. Film thickness before deglazing was about 32.3 nm. The wafer was deglazed in 20:1 DHF. Sheet resistance as measured by a four-point probe test was about 26.6 ohms/sq. 
     EXAMPLE 7 
     An ink comprising about 90 wt. % PBZ solution B ink formed as described in Example 3 and about 10 wt. % oleic acid was prepared. The viscosity of the resulting ink was 2.2 cp. The solution was spun onto a four-inch n-type wafer at 1000 rpm with baking at 80° C. for one minute, 170° C. for one minute, and 250° C. for one minute. The coated wafer was heated to 1050° C. in 15% oxygen and held at that temperature for about 30 minutes. Film thickness before deglazing was about 275.7 nm. The wafer was deglazed in 20:1 DHF. Sheet resistance as measured by a four-point probe test was 33.8 ohms/sq. 
     EXAMPLE 8 
     An ink comprising 36.6 wt. % PBZ resin formed as described in Example 3, 10.9 wt. % cyclohexylamine and 52.8 wt. % xylene was prepared. The solution was spun onto a four-inch wafer at a spin speed of 1000 rpm with no baking. The coated wafer was heated to 950° C. for 30 minutes in air. The wafer was deglazed in 20:1 DHF. Sheet resistance after deglazing was 51 ohms/sq. 
     Accordingly, boron-comprising inks for forming boron-doped regions in semiconductor substrates using non-contact printing and methods for fabricating such boron-comprising inks have been provided. While at least one exemplary embodiment has been presented in the foregoing detailed description of the invention, it should be appreciated that a vast number of variations exist. It should also be appreciated that the exemplary embodiment or exemplary embodiments are only examples, and are not intended to limit the scope, applicability, or configuration of the invention in any way. Rather, the foregoing detailed description will provide those skilled in the art with a convenient road map for implementing an exemplary embodiment of the invention, it being understood that various changes may be made in the function and arrangement of elements described in an exemplary embodiment without departing from the scope of the invention as set forth in the appended claims and their legal equivalents.