Patent Publication Number: US-2023142834-A1

Title: Binder for all-solid secondary battery, binder composition for all-solid secondary battery, slurry for all-solid secondary battery, solid electrolyte sheet for all-solid secondary battery and production method thereof, and all-solid secondary battery and production method thereof

Description:
TECHNICAL FIELD 
     The present invention relates to a binder for an all-solid-state secondary battery, a binder composition for an all-solid-state secondary battery containing the binder, a slurry for an all-solid-state secondary battery containing the composition and a solid electrolyte, a solid electrolyte sheet for an all-solid-state secondary battery formed by applying the slurry onto a substrate and drying the slurry and a method of producing the same, and to an all-solid-state secondary battery including the sheet and a method of producing the same. 
     BACKGROUND ART 
     Many of lithium ion secondary batteries, widely used in a driving power source for an automobile or the like, a household storage battery, and the like, use an electrolytic solution. At present, an all-solid-state secondary battery, which uses a solid electrolyte in place of the electrolytic solution, and whose constituent materials are all solids, is being developed as an ultimate battery that combines safety with a high energy density and a long life. 
     The all-solid-state secondary battery uses the solid electrolyte showing high ion conductivity, and hence is free of dangers of liquid leakage and ignition, thereby being excellent in safety and reliability. In addition, the all-solid-state secondary battery is also suited for an increase in energy density through stacking of electrodes. Specifically, the all-solid-state secondary battery can be a battery having a structure in which an active material layer and a solid electrolyte layer are arranged side by side and serialized. In this case, a metal package for encapsulating a battery cell, and a copper wire and a busbar for connecting battery cells can be omitted, and hence the energy density of the battery can be greatly increased. In addition, for example, good compatibility with a positive electrode material capable of achieving an increase in potential is also given as an advantage. 
     On the other hand, problems in production of the all-solid-state secondary battery have also become apparent. Specifically, when a pressure-molded body of a mixture obtained by mixing the solid electrolyte serving as an electrolyte and an active material is prepared in order to increase a contact area therebetween, the pressure-molded body is hard and brittle and is poor in processability. In addition, the active material undergoes a volume change through storage and release of lithium ions, and hence has had a problem in the pressure-molded body, such as occurrence of a remarkable reduction in capacity due to, for example, peeling of the active material along with charge-discharge cycles. 
     In view of the foregoing, in order to enhance moldability, investigations have been made on a technology involving further adding a binder component to the above-mentioned mixture to improve the moldability (see, for example, Patent Literatures 1 to 4). 
     Citation List 
     Patent Literature 
     
         
         [PTL 1] JP 11-86899 A 
         [PTL 2] JP 07-87045 B2 
         [PTL 3]WO 2009/107784 A1 
         [PTL 4] JP 5120522 B2 
       
    
     SUMMARY OF INVENTION 
     Technical Problem 
     It is conceived that the binder component disclosed in each of Patent Literatures 1 to 4 described above, which is formed of a polymer compound, results in satisfactory characteristics as an all-solid-state secondary battery under a conventional applied voltage. However, the binder component cannot satisfy a high-level cycle life characteristic under a high voltage required of a current all-solid-state secondary battery, and hence has been required to be further improved. 
     In view of the foregoing, some aspects according to the present invention provide a binder for an all-solid-state secondary battery, which is excellent in lithium ion conductivity and capable of achieving a satisfactory cycle life characteristic even under a high voltage, and a binder composition for an all-solid-state secondary battery containing the binder. 
     Solution to Problem 
     The present invention has been made in order to solve at least part of the above-mentioned problems, and can be realized as any one of the following aspects. 
     According to one aspect of the present invention, there is provided a binder for an all-solid-state secondary battery, including a polymer (A) that: has an aromatic vinyl unit based on an aromatic vinyl compound and a conjugated diene unit based on a conjugated diene compound; has a Mooney viscosity (ML 1+4 , 100° C.) of from 10 to 100; and has a value α, which is represented by the following equation (i), of less than 0.7, where “p”, “q”, “r”, and “s” represent constituent ratios (molar ratios) of a structural unit represented by the following formula (1), a structural unit represented by the following formula (2), a structural unit represented by the following formula (3), and a structural unit represented by the following formula (4) in the polymer, respectively. 
     
       
         
           
             α 
             = 
             
               
                 p+ 
                 
                   
                     0.5 
                     × 
                     r 
                   
                 
               
             
             / 
             
               
                 p+q+ 
                 
                   
                     0.5 
                     × 
                     r 
                   
                 
                 + 
                 s 
               
             
           
         
       
     
     
       
         
         
             
             
         
       
     
     
       
         
         
             
             
         
       
     
     In the binder for an all-solid-state secondary battery according to the one aspect, the polymer (A) may have a bound styrene content of from 5% to 40%. 
     In the binder for an all-solid-state secondary battery according to any one of the above-mentioned aspects, the polymer (A) may have a unit based on a modifier containing at least one kind of atom selected from the group consisting of: a nitrogen atom; an oxygen atom; a silicon atom; a germanium atom; and a tin atom. 
     According to one aspect of the present invention, there is provided a binder composition for an all-solid-state secondary battery, including: the binder for an all-solid-state secondary battery of any one of the above-mentioned aspects; and a liquid medium (B). 
     In the binder composition for an all-solid-state secondary battery according to the one aspect, the liquid medium (B) may be at least one kind selected from the group consisting of: an aliphatic hydrocarbon; an alicyclic hydrocarbon; an aromatic hydrocarbon; ketones; esters; and ethers. 
     In the binder composition for an all-solid-state secondary battery according to any one of the above-mentioned aspects, the polymer (A) may be dissolved in the liquid medium (B). 
     According to one aspect of the present invention, there is provided a slurry for an all-solid-state secondary battery, including: the binder composition for an all-solid-state secondary battery of any one of the above-mentioned aspects; and a solid electrolyte. 
     The slurry for an all-solid-state secondary battery according to the one aspect may include, as the solid electrolyte, a sulfide-based solid electrolyte or an oxide-based solid electrolyte. 
     According to one aspect of the present invention, there is provided an all-solid-state secondary battery, including at least: a positive electrode active material layer; a solid electrolyte layer; and a negative electrode active material layer, wherein at least any one of the positive electrode active material layer, the solid electrolyte layer, and the negative electrode active material layer is a layer formed by applying and drying the slurry for an all-solid-state secondary battery of any one of the above-mentioned aspects. 
     According to one aspect of the present invention, there is provided a solid electrolyte sheet for an all-solid-state secondary battery, including: a substrate; and a layer formed on the substrate by applying and drying the slurry for an all-solid-state secondary battery of any one of the above-mentioned aspects. 
     According to one aspect of the present invention, there is provided a method of producing a solid electrolyte sheet for an all-solid-state secondary battery, including a step including applying the slurry for an all-solid-state secondary battery of any one of the above-mentioned aspects onto a substrate and drying the slurry. 
     According to one aspect of the present invention, there is provided a method of producing an all-solid-state secondary battery, including producing an all-solid-state secondary battery via the method of producing a solid electrolyte sheet for an all-solid-state secondary battery of the one aspect. 
     Advantageous Effects of Invention 
     The binder for an all-solid-state secondary battery according to the present invention has appropriate viscosity, and hence, when used as a material for the solid electrolyte layer and/or active material layer of an all-solid-state secondary battery, makes the dispersion stability of a slurry satisfactory, and also makes the adhesiveness and flexibility of an electrode satisfactory. Accordingly, the use of the binder for an all-solid-state secondary battery according to the present invention makes moldability in a pressure-molded body for an all-solid-state secondary battery satisfactory, and hence provides excellent effects of being excellent in lithium ion conductivity and being capable of achieving a satisfactory cycle life characteristic even under a high voltage. 
    
    
     DESCRIPTION OF EMBODIMENTS 
     Preferred embodiments of the present invention are described in detail below. It should be appreciated that the present invention is not limited to the embodiments described below, and includes various modification examples performed within the range not changing the gist of the present invention. Herein, “... (meth)acrylate” is a concept comprehending both of “... acrylate” and “... methacrylate”. 
     Herein, a numerical range described like “from A to B” is to be construed to include a numerical value A as a lower limit value and a numerical value B as an upper limit value. 
     1. Binder for All-Solid-State Secondary Battery 
     A binder for an all-solid-state secondary battery according to one embodiment of the present invention contains a polymer (A). The polymer (A) is a polymer that: has an aromatic vinyl unit based on an aromatic vinyl compound and a conjugated diene unit based on a conjugated diene compound; has a Mooney viscosity (ML 1 | 4 , 100° C.) of from 10 to 100; and has a value α, which is represented by the following equation (i), of less than 0.7, where “p”, “q”, “r”, and “s” represent constituent ratios (molar ratios) of a structural unit represented by the following formula (1), a structural unit represented by the following formula (2), a structural unit represented by the following formula (3), and a structural unit represented by the following formula (4) in the polymer, respectively. 
     
       
         
           
             α 
             = 
             
               
                 p+ 
                 
                   
                     0.5 
                     × 
                     r 
                   
                 
               
             
             / 
             
               
                 p+q+ 
                 
                   
                     0.5 
                     × 
                     r 
                   
                 
                 + 
                 s 
               
             
           
         
       
     
     
       
         
         
             
             
         
       
     
     
       
         
         
             
             
         
       
     
     In addition, the polymer (A) may contain, in addition to the aromatic vinyl unit and the conjugated diene unit, a structural unit based on another monomer copolymerizable therewith. The order in which the structural units of the polymer (A) are arranged is not particularly limited. That is, the polymer (A) may be a block copolymer, or may be a random copolymer. 
     A method of producing the polymer (A) and the physical properties of the polymer (A) are described below in the stated order. 
     1.1. Method of Producing Polymer (A) 
     The polymer (A) may be produced by, for example, a method including the steps of: polymerizing the aromatic vinyl compound and the conjugated diene compound to obtain a conjugated diene-based copolymer having an active end (polymerization step); modifying the end of the obtained conjugated diene-based copolymer (modification step); and hydrogenating the conjugated diene-based copolymer (hydrogenation step). Specifically, the polymer (A) may be produced in accordance with a method described in WO 2014/133097 A1 with changes appropriately made in molecular weight, amount of the aromatic vinyl compound, vinyl bond content, hydrogenation ratio, kind of modifier, and the like so as to fit the intended use. The method of producing the polymer (A) is described in detail below. 
     Polymerization Step 
     The polymerization step is a step of polymerizing monomers including the aromatic vinyl compound and the conjugated diene compound to obtain a conjugated diene-based copolymer having an active end. Any of a solution polymerization method, a vapor phase polymerization method, and a bulk polymerization method may be used as a polymerization method for obtaining the conjugated diene-based copolymer, but the solution polymerization method is particularly preferred. In addition, any of a batch system and a continuous system may be used as a mode of polymerization. When the solution polymerization method is used, a specific example of the polymerization method is a method involving polymerizing monomers including the aromatic vinyl compound and the conjugated diene compound in an organic solvent in the presence of a polymerization initiator and a vinyl control agent (hereinafter sometimes referred to as “randomizer”) which is used as required. 
     Examples of the aromatic vinyl compound include styrene, divinylbenzene, 2-methylstyrene, 3-methylstyrene, 4-methylstyrene, α-methylstyrene, N,N-dimethylaminoethylstyrene, and diphenylethylene. Of those, one or more kinds of compounds selected from styrene and divinylbenzene are particularly preferred as the aromatic vinyl compound. The aromatic vinyl compounds may be used alone or in combination thereof. 
     As the conjugated diene compound, in addition to 1,3-butadiene, a conjugated diene compound other than 1,3-butadiene may be used. Such conjugated diene compound is not particularly limited as long as the compound is copolymerizable with 1,3-butadiene and an aromatic vinyl compound, and examples thereof include isoprene, 2,3-dimethyl-1,3-butadiene, and 1,3-pentadiene. Of those, isoprene is preferred as the conjugated diene compound other than 1,3-butadiene. The conjugated diene compounds may be used alone or in combination thereof. 
     The conjugated diene-based copolymer to be obtained through the polymerization step may be a copolymer of 1,3-butadiene and the aromatic vinyl compound, or may be a copolymer of 1,3-butadiene, the conjugated diene compound other than 1,3-butadiene, and the aromatic vinyl compound. In order to have a high living property in anionic polymerization, the conjugated diene-based copolymer is preferably a copolymer using 1,3-butadiene and styrene. 
     In the conjugated diene-based copolymer to be obtained through the polymerization step, the content of the aromatic vinyl compound is preferably from 5 mass% to 40 mass%, more preferably from 8 mass% to 30 mass%, particularly preferably from 10 mass% to 27 mass% with respect to the total amount of the monomers used for the polymerization. In addition, when the content of the aromatic vinyl compound is set to fall within the above-mentioned ranges, the adhesiveness and flexibility of an electrode can both be achieved. The monomers to be used for the production of the conjugated diene-based copolymer before hydrogenation preferably include 60 parts by mass to 95 parts by mass of butadiene, 5 parts by mass to 40 parts by mass of the aromatic vinyl compound, and 0 parts by mass to 35 parts by mass of the conjugated diene compound other than butadiene. The adoption of such blending amounts is preferred because the adhesiveness and flexibility of an electrode can both be achieved. 
     A monomer other than the aromatic vinyl compound and the conjugated diene compound may be used in the polymerization. Examples of the other monomer include acrylonitrile, methyl (meth)acrylate, and ethyl (meth)acrylate. The use amount of the other monomer is preferably 20 mass% or less, more preferably 18 mass% or less, particularly preferably 15 mass% or less with respect to the total amount of the monomers to be used for the polymerization. 
     At least any one of an alkali metal compound and an alkaline earth metal compound may be used as the polymerization initiator. A compound that is generally used as an initiator for anionic polymerization may be used as each of the alkali metal compound and the alkaline earth metal compound, and examples thereof include alkyllithiums, such as methyllithium, ethyllithium, n-propyllithium, n-butyllithium, sec-butyllithium, and tert-butyllithium, 1,4-dilithiobutane, phenyllithium, stilbenelithium, naphthyllithium, naphthylsodium, naphthylpotassium, di-n-butylmagnesium, di-n-hexylmagnesium, ethoxypotassium, and calcium stearate. Of those, a lithium compound is preferred. 
     In addition, the polymerization reaction may be performed in the presence of a compound (hereinafter sometimes referred to as “compound (R)”) obtained by mixing at least any one of the alkali metal compound and the alkaline earth metal compound with a compound for introducing a functional group that interacts with a current collector, a solid electrolyte, or the like into a polymerization initiation end (hereinafter sometimes referred to as “compound (C1)”). When the polymerization is performed in the presence of the compound (R), the functional group that interacts with a current collector, a solid electrolyte, or the like can be introduced into the polymerization initiation end of the conjugated diene-based copolymer. Herein, the “interaction” means the formation of a covalent bond between molecules, or the formation of an intermolecular force weaker than a covalent bond (e.g., an electromagnetic force acting between molecules, such as an ion-dipole interaction, a dipole-dipole interaction, a hydrogen bond, or a van der Waals force). In addition, the “functional group that interacts with a current collector, a solid electrolyte, or the like” refers to a group containing at least one atom, such as a nitrogen atom, an oxygen atom, a silicon atom, a sulfur atom, or a phosphorus atom. 
     The above-mentioned compound (C1) is not particularly limited as long as the compound has a partial structure in which a nitrogen atom, an oxygen atom, a silicon atom, a sulfur atom, or a phosphorus atom is directly bonded to a hydrogen atom. As the compound (C1), there may be used, for example, a nitrogen-containing compound such as a secondary amine, a compound having a hydroxy group, a silicon-containing compound such as a tertiary silane, a compound having a thiol group, or a compound such as a secondary phosphine. Of those, a nitrogen-containing compound such as a secondary amine compound is preferred. Specific examples of the nitrogen-containing compound include dimethylamine, diethylamine, dipropylamine, dibutylamine, dipentylamine, dioctylamine, dihexylamine, dodecamethyleneimine, N,N′-dimethyl-N′-trimethylsilyl-1,6-diaminohexane, piperidine, 3,3-dimethylpiperidine, 2,6-dimethylpiperidine, 1-methyl-4-(methylamino)piperidine, 2,2,6,6-tetramethylpiperidine, pyrrolidine, piperazine, 2,6-dimethylpiperazine, 1-ethylpiperazine, 2-methylpiperazine, 1-benzylpiperazine, 2,6-dimethylmorpholine, hexamethyleneimine, heptamethyleneimine, dicyclohexylamine, N-methylbenzylamine, di-(2-ethylhexyl)amine, diallylamine, morpholine, N-(trimethylsilyl)piperazine, N-(tert-butyldimethylsilyl)piperazine, N′-[2-N,N-bis(trimethylsilyl)aminoethyl]piperazine, 1,3-ditrimethylsilyl-1,3,5-triazinane, 5-benzyloxyindole, and 3-azaspiro[5,5]undecane. 
     The above-mentioned compound (R) is, in particular, preferably a reaction product between a lithium compound such as an alkyllithium and the compound (C1). When the polymerization is performed in the presence of the compound (R), the polymerization may be performed by mixing the alkali metal compound or the alkaline earth metal compound with the compound (C1) in advance to prepare the compound (R), and adding the prepared compound (R) into the polymerization system. Alternatively, the polymerization may be performed as follows: the alkali metal compound or the alkaline earth metal compound, and the compound (C1) are added into the polymerization system, and are mixed with each other in the polymerization system to prepare the compound (R). 
     The randomizer may be used for the purpose of, for example, adjusting a content ratio of the vinyl bonds (vinyl bond content). Examples of the randomizer include dimethoxybenzene, tetrahydrofuran, dimethoxyethane, ethylene glycol diethyl ether, ethylene glycol dibutyl ether, diethylene glycol dibutyl ether, diethylene glycol dimethyl ether, 2,2-di(tetrahydrofuryl)propane, 2-(2-ethoxyethoxy)-2-methylpropane, triethylamine, pyridine, N-methylmorpholine, and tetramethylethylenediamine. Those randomizers may be used alone or in combination thereof. 
     The organic solvent to be used for the polymerization only needs to be an organic solvent inert to the reaction, and for example, an aliphatic hydrocarbon, an alicyclic hydrocarbon, or an aromatic hydrocarbon may be used. Of those, a hydrocarbon having 3 to 8 carbon atoms is preferred, and specific examples thereof include n-pentane, isopentane, n-hexane, n-heptane, cyclohexane, propene, 1-butene, isobutene, trans-2-butene, cis-2-butene, 1-pentyne, 2-pentyne, 1-hexene, 2-hexene, benzene, toluene, xylene, ethylbenzene, cyclopentane, methylcyclopentane, methylcyclohexane, 1-pentene, 2-pentene, and cyclohexene. The organic solvents may be used alone or in combination thereof. 
     When solution polymerization is used, the concentration of the monomers in the reaction solvent is preferably from 5 mass% to 50 mass%, more preferably from 10 mass% to 30 mass% because a balance between productivity and ease of polymerization control can be maintained. The temperature of the polymerization reaction is preferably from -20° C. to 150° C., more preferably from 0° C. to 120° C., particularly preferably from 20° C. to 100° C. In addition, the polymerization reaction is preferably performed under a pressure sufficient for keeping the monomers substantially in a liquid phase. Such pressure may be obtained by a method involving, for example, pressurizing the inside of a reactor with a gas inert to the polymerization reaction. 
     With regard to the conjugated diene-based copolymer to be obtained through the polymerization described above, a 1,2-vinyl bond content in the structural unit derived from butadiene is preferably from 5 mass% to 70 mass%, more preferably from 10 mass% to 65 mass%, particularly preferably from 20 mass% to 60 mass%. When the 1,2-vinyl bond content is 5 mass% or more, adhesiveness tends to be increased, and when the 1,2-vinyl bond content is 70 mass% or less, lithium ion conductivity and a cycle life characteristic tend to be easily improved. The 1,2-vinyl bond content is a value measured by  1 H-NMR. 
     The conjugated diene-based copolymer before hydrogenation preferably has a random copolymerization moiety of the structural unit derived from butadiene and the structural unit derived from the aromatic vinyl compound. The presence of such specific random copolymerization moiety is suitable because the dispersibility of an active material and a solid electrolyte can be made more satisfactory. 
     Modification Step 
     The modification step is a step of allowing the active end of the conjugated diene-based copolymer obtained through the polymerization step described above to react with a compound for introducing a functional group that interacts with a current collector, a solid electrolyte, or the like into a polymerization termination end (hereinafter sometimes referred to as “compound (C2)”). Through this step, the functional group that interacts with a current collector, a solid electrolyte, or the like can be introduced into the polymerization termination end of the conjugated diene-based copolymer. As used herein, the term “active end” means a moiety other than a structure derived from a monomer having a carbon-carbon double bond (more specifically a carbon anion) present at the end of a molecular chain. 
     As long as the conjugated diene-based copolymer to be used for the modification reaction in this step (hereinafter sometimes referred to as “end modification reaction”) has an active end, its polymerization initiation end may be unmodified or modified. The compound (C2) is not particularly limited as long as the compound is capable of reacting with the active end of the conjugated diene-based copolymer, but is preferably a compound that has one or more kinds of functional groups selected from the group consisting of: an amino group; a group having a carbon-nitrogen double bond; a nitrogen-containing heterocyclic group; a phosphino group; an epoxy group; a thioepoxy group; a protected hydroxy group; a protected thiol group; and a hydrocarbyloxysilyl group, and that is capable of reacting with a polymerization active end. Specifically, at least one kind selected from the group consisting of: a compound represented by the following general formula (5); and a compound represented by the following general formula (6) may be preferably used as the compound (C2).  
     
       
         
         
             
             
         
       
     
     In the formula (5), A 1  represents a monovalent functional group having at least one kind of atom selected from the group consisting of: nitrogen; phosphorus; oxygen; sulfur; and silicon, and being bonded to R 5  through the nitrogen atom, the phosphorus atom, the oxygen atom, the sulfur atom, the silicon atom, or a carbon atom contained in a carbonyl group, or represents a (thio)epoxy group. R 3  and R 4  each represent a hydrocarbyl group, R 5  represents a hydrocarbylene group, and “r” represents an integer of from 0 to 2. When a plurality of R 3 s or R 4 s are present, the plurality of R 3 s or R 4 s may be identical to or different from each other.  
     
       
         
         
             
             
         
       
     
     In the formula (6), A 2  represents a monovalent functional group having at least one kind of atom selected from the group consisting of: nitrogen; phosphorus; oxygen; sulfur; and silicon, having no active hydrogen, and being bonded to R 9  through the nitrogen atom, the phosphorus atom, the oxygen atom, the sulfur atom, or the silicon atom. R 6  and R 7  each independently represent a hydrocarbyl group, R 8  and R 9  each independently represent a hydrocarbylene group, and “m” represents 0 or 1. When a plurality R 7 s are present, the plurality of R 7 s may be identical to or different from each other. 
     In the formula (5) and the formula (6), the hydrocarbyl group of each of R 3 , R 4 , R 6 , and R 7  is preferably a linear or branched alkyl group having 1 to 20 carbon atoms, a cycloalkyl group having 3 to 20 carbon atoms, or an aryl group having 6 to 20 carbon atoms. The hydrocarbylene group of each of R 5 , R 8 , and R 9  is preferably a linear or branched alkanediyl group having 1 to 20 carbon atoms, a cycloalkylene group having 3 to 20 carbon atoms, or an arylene group having 6 to 20 carbon atoms. “r” and “m” each preferably represent 0 or 1 because reactivity with the active end can be increased. 
     When A 1  represents the above-mentioned monovalent functional group, it is preferred that the at least one kind of atom selected from the group consisting of: nitrogen; phosphorus; oxygen; sulfur; and silicon that A 1  has be not bonded to active hydrogen and be protected with a protecting group (e.g., a trisubstituted hydrocarbylsilyl group). In addition, it is preferred that the at least one kind of atom selected from the group consisting of: nitrogen; phosphorus; oxygen; sulfur; and silicon that A 2  has be not bonded to active hydrogen and be protected with a protecting group (e.g., a trisubstituted hydrocarbylsilyl group). As used herein, the term “active hydrogen” refers to a hydrogen atom bonded to an atom other than a carbon atom, and preferably refers to one having lower bond energy than a carbon-hydrogen bond of polymethylene. The “protecting group” is a functional group for converting A 1  or A 2  into a functional group inert to a polymerization active end. The term “(thio)epoxy group” is meant to encompass an epoxy group and a thioepoxy group. 
     A 1  may represent a group capable of forming an onium ion with an onium salt generator. When the compound (C2) has such group (A 1 ), excellent adhesiveness can be imparted to the conjugated diene-based copolymer. Specific examples of A 1  include: a nitrogen-containing group obtained by substituting two hydrogen atoms of a primary amino group with two protecting groups; a nitrogen-containing group obtained by substituting one hydrogen atom of a secondary amino group with one protecting group; a tertiary amino group; an imino group; a pyridyl group; a phosphorus-containing group obtained by substituting two hydrogen atoms of a primary phosphino group with two protecting groups; a phosphorus-containing group obtained by substituting one hydrogen atom of a secondary phosphino group with one protecting group; a tertiary phosphino group; an epoxy group; a group in which the hydrogen atom of a hydroxy group is protected with a protecting group; a thioepoxy group; a sulfur-containing group obtained by substituting the hydrogen atom of a thiol group with a protecting group; and a hydrocarbyloxycarbonyl group. Of those, a group having a nitrogen atom is preferred because of having satisfactory affinity for a solid electrolyte and an active material, and a tertiary amino group or a nitrogen-containing group obtained by substituting two hydrogen atoms of a primary amino group with two protecting groups is more preferred. 
     Preferred specific examples of the compound (C2) may include dibutyldichlorosilicon, methyltrichlorosilicon, dimethyl di chlorosilicon, tetrachlorosilicon, triethoxymethylsilane, triphenoxymethylsilane, trimethoxysilane, methyltriethoxysilane, the compound represented by the general formula (5), and the compound represented by the general formula (6). Examples of the compound represented by the general formula (5) may include N,N-bis(trimethylsilyl)aminopropyltrimethoxysilane, N,N-bis(trimethylsilyl)aminopropylmethyldiethoxysilane, N-trimethylsilyl-N-methylaminopropylmethyldiethoxysilane, [3-(N,N-dimethylamino)propyl]trimethoxysilane, N,N′,N′-tris(trimethylsilyl)-N-(2-aminoethyl)-3-aminopropyltriethoxysilane, 3-(4-trimethylsilyl-1-piperazino)propylmethyldimethoxy silane, 3-glycidoxypropylmethyldimethoxysilane, and 3-glycidoxypropyltriethoxysilane. In addition, examples of the compound represented by the general formula (6) may include 2,2-dimethoxy-1-(3-trimethoxysilylpropyl)-1,2-azasilolidine, 2,2-dimethoxy-1-(3-trimethoxysilylpropyl)-1-aza-2-silacyclopentane, 2,2-dimethoxy-1 -phenyl-1,2-azasilolidine, 1-trimethylsilyl-2,2-dimethoxy-1-aza-2-silacyclopentane, and 2,2-dimethoxy-8-(4-methylpiperazinyl)methyl- 1,6-dioxa-2-silacyclooctane. The compounds (C2) may be used alone or in combination thereof. 
     In addition, other than the compound (C2), for example, a germane compound or a stannane compound may also be suitably used in the modification step. When those compounds are used, a germanium atom or a tin atom can be introduced into the polymer (A). Herein, the compound group consisting of the compound (R), the compound (C2), the germane compound, and the stannane compound is sometimes referred to as “modifier”. 
     Examples of the germane compound include: alkoxygermane compounds, such as a monoalkoxygermane compound, a dialkoxygermane compound, a trialkoxygermane compound, and a tetraalkoxygermane compound; and a halogenated triorganogermane compound, a dihalogenated diorganogermane compound, a trihalogenated organogermane compound, and a tetrahalogenated germane compound. The examples of the germane compound also include the same compounds as those given as the examples of the silane compound except that the compounds each have a germanium atom instead of the silicon atom. 
     Examples of the stannane compound include: alkoxystannane compounds, such as a monoalkoxystannane compound, a dialkoxystannane compound, a trialkoxystannane compound, and a tetraalkoxystannane compound; and a halogenated triorganostannane compound, a dihalogenated diorganostannane compound, a trihalogenated organostannane compound, and a tetrahalogenated stannane compound. The examples of the stannane compound also include the same compounds as those given as the examples of the silane compound except that the compounds each have a tin atom instead of the silicon atom. 
     Specific examples of those stannane compounds may include, as preferred examples, tetrachlorotin, tetrabromotin, trichlorobutyltin, trichloromethyltin, trichlorooctyltin, dibromodimethyltin, dichlorodimethyltin, dichlorodibutyltin, dichlorodioctyltin, 1,2-bis(trichlorostannyl)ethane, 1,2-bis(methyldichlorostannylethane), 1,4-bis(trichlorostannyl)butane, 1,4-bis(methyldichlorostannyl)butane, ethyltin tristearate, butyltin trisoctanoate, butyltin trisstearate, butyltin trislaurate, dibutyltin bisoctanoate, dibutyltin bisstearate, and dibutyltin bislaurate. Of those, tetrachlorotin (SnCl 4 ) is particularly preferably used. 
     The above-mentioned end modification reaction may be performed, for example, as a solution reaction. The solution reaction may be performed using a solution containing an unreacted monomer after the termination of the polymerization reaction in the polymerization step described above, or may be performed after the conjugated diene-based copolymer contained in the solution has been isolated and dissolved in an appropriate solvent such as cyclohexane. In addition, the end modification reaction may be performed using any of a batch system and a continuous system. In this case, a method of adding the compound (C2), the germane compound, or the stannane compound is not particularly limited, and examples thereof include a method involving adding the compound in one portion, a method involving adding the compound in divided portions, and a method involving continuously adding the compound. 
     The amount of the compound (C2), the germane compound, or the stannane compound to be used for the end modification reaction only needs to be appropriately set in accordance with the kind of the compound to be used for the reaction, but is preferably 0.1 molar equivalent or more, more preferably 0.3 molar equivalent or more with respect to the metal atom to be involved in the polymerization reaction that the polymerization initiator has. When the use amount is set to 0.1 molar equivalent or more, the modification reaction can be caused to proceed sufficiently, and hence the dispersion stability of a slurry can be suitably improved. 
     The temperature of the end modification reaction is generally the same as the temperature of the polymerization reaction, and is preferably from -20° C. to 150° C., more preferably from 0° C. to 120° C., particularly preferably from 20° C. to 100° C. When the temperature of the modification reaction is low, the viscosity of the modified conjugated diene-based copolymer tends to be increased. Meanwhile, when the temperature of the modification reaction is high, the polymerization active end is liable to be deactivated. The reaction time of the modification reaction is preferably from 1 minute to 5 hours, more preferably from 2 minutes to 1 hour. 
     As described above, the polymer (A) preferably has a unit based on a modifier containing at least one kind of atom selected from the group consisting of: a nitrogen atom; an oxygen atom; a silicon atom; a germanium atom; and a tin atom. When the polymer (A) has the unit based on such modifier, the dispersion stability of a slurry becomes more satisfactory, and hence moldability in a pressure-molded body for an all-solid-state secondary battery becomes satisfactory. Consequently, an all-solid-state secondary battery excellent in lithium ion conductivity and having a satisfactory cycle life characteristic even under a high voltage is obtained. 
     Hydrogenation Reaction 
     The polymer (A) may be a product obtained by hydrogenating the modified or unmodified conjugated diene-based copolymer obtained in the foregoing. Any method and conditions may be used as a method and conditions for the hydrogenation reaction as long as a conjugated diene-based copolymer having a desired hydrogenation ratio can be obtained. Examples of such hydrogenation method include: a method involving using, as a hydrogenation catalyst, a catalyst containing an organic metal compound of titanium as a main component; a method involving using a catalyst formed of an organic compound of iron, nickel, or cobalt and an organic metal compound such as an alkylaluminum; a method involving using an organic complex of an organic metal compound of ruthenium, rhodium, or the like; and a method involving using a catalyst obtained by supporting a metal, such as palladium, platinum, ruthenium, cobalt, or nickel, on a support, such as carbon, silica, or alumina. Of the various methods, a method involving performing hydrogenation under the mild conditions of a low pressure and a low temperature using an organic metal compound of titanium alone or a uniform catalyst formed of an organic metal compound of titanium and an organic metal compound of lithium, magnesium, or aluminum (JP 63-4841 B2, JP 01-37970 B2, JP 2000-37632 A) is industrially preferred, and also has high hydrogenation selectivity for the double bond of butadiene, thereby being suited for the purpose of the present invention. 
     The hydrogenation reaction of the modified conjugated diene-based copolymer is performed in a solvent which is inert to the catalyst and in which the conjugated diene-based copolymer is soluble. The solvent is preferably any one of aliphatic hydrocarbons, such as n-pentane, n-hexane, n-heptane, and n-octane, alicyclic hydrocarbons, such as cyclohexane and cycloheptane, aromatic hydrocarbons, such as benzene and toluene, and ethers, such as diethyl ether and tetrahydrofuran, or a mixture containing any one of the above-mentioned compounds as a main component. 
     The hydrogenation reaction is generally performed by keeping the conjugated diene-based copolymer under a hydrogen or inert atmosphere at a predetermined temperature, adding a hydrogenation catalyst under stirring or under no stirring, and then introducing a hydrogen gas for pressurization to a predetermined pressure. The “inert atmosphere” means an atmosphere that does not react with the participants of the hydrogenation reaction, and examples thereof include helium, neon, and argon. Air or oxygen causes deactivation of the catalyst by, for example, oxidizing the catalyst, and hence is not preferred. In addition, nitrogen acts as a catalyst poison at the time of the hydrogenation reaction to reduce hydrogenation activity, and hence is not preferred. In particular, the inside of a hydrogenation reactor is most suitably an atmosphere of a hydrogen gas alone. 
     Any of a batch process, a continuous process, and a combination thereof may be used as a hydrogenation reaction process for obtaining a hydrogenated conjugated diene-based copolymer. In addition, when a titanocene diaryl-based compound is used as the hydrogenation catalyst, the compound may be added alone as it is to a reaction solution, or may be added as a solution in an inert organic solvent. Any of various solvents that do not react with the participants of the hydrogenation reaction may be used as the inert organic solvent to be used in the case of using the catalyst as a solution. The same solvent as the solvent to be used for the hydrogenation reaction is preferred. In addition, the addition amount of the catalyst is from 0.02 mmol to 20 mmol per 100 g of the conjugated diene-based copolymer before hydrogenation. 
     In addition, the polymer (A) has a value α, which is represented by the following equation (i), of less than 0.7, where “p”, “q”, “r”, and “s” represent constituent ratios (molar ratios) of a structural unit represented by the following formula (1), a structural unit represented by the following formula (2), a structural unit represented by the following formula (3), and a structural unit represented by the following formula (4) in the polymer, respectively. 
     
       
         
           
             α 
             = 
             
               
                 p+ 
                 
                   
                     0.5 
                     × 
                     r 
                   
                 
               
             
             / 
             
               
                 p+q+ 
                 
                   
                     0.5 
                     × 
                     r 
                   
                 
                 + 
                 s 
               
             
           
         
       
     
     
       
         
         
             
             
         
       
     
     
       
         
         
             
             
         
       
     
     By virtue of setting α to less than 0.7, the dispersion stability of a slurry and the flexibility of an electrode are excellent, and besides, high lithium ion conductivity and a satisfactory cycle life characteristic can be achieved. For such reason, α is preferably less than 0.7, more preferably less than 0.6, particularly preferably less than 0.5. α represented by the equation (i) corresponds to the hydrogenation ratio of the conjugated diene-based copolymer. For example, when α is 0.6, the hydrogenation ratio of the conjugated diene-based copolymer is 60%. In addition, α may be 0. The hydrogenation ratio in the conjugated diene-based copolymer may be adjusted on the basis of, for example, the period of time of the hydrogenation reaction or the supply amount of hydrogen. The hydrogenation ratio may be measured by  1 H-NMR. 
     After the above-mentioned modification step or hydrogenation step, an anti-aging agent may be added. The addition of the anti-aging agent can prevent the gelation and deterioration of the polymer (A) due to heat, light, and oxidative deterioration in a solvent removal step by steam stripping and a drying step with a heat roll, which are performed after the synthesis of the polymer (A), and subsequent long-term storage as a bale. 
     Examples of the anti-aging agent include compounds, such as a phenol-based anti-aging agent, an amine-based anti-aging agent, a quinone-based anti-aging agent, a phosphorus-based anti-aging agent, a sulfur-based anti-aging agent, and a phenothiazine-based anti-aging agent. Of those, a phenol-based anti-aging agent or an amine-based anti-aging agent is preferred. Those anti-aging agents may be used alone or in combination thereof. 
     Examples of the phenol-based anti-aging agent include p-methoxyphenol, 2,6-di-tert-butyl-p-cresol, phenol, hydroquinone, p-cresol, butylated hydroxyanisole, propyl gallate, chlorogenic acid, catechin, caffeic acid, genkwanin, luteolin, tocopherol, catechol, resorcinol, 1,4-dihydroxynaphthalene, 1,5-dihydroxynaphthalene, pyrogallol, 4,4′-butylidenebis(6-tert-butyl-m-cresol), 2,2′-methylenebis(4-methyl-6-tert-butylphenol), 2,2′-methylenebis(6-tert-butyl-4-ethylphenol), 4,4′-thiobis(6-tert-butyl-m-cresol), 2,5-di-tert-amylhydroquinone, styrenated phenol, 2,5-di-tert-butylhydroquinone, 2-methyl-4,6-bis[(n-octylthio)methyl]phenol, 2,4-bis(dodecylthiomethyl)-6-methylphenol, 2-tert-butyl-6-(3-tert-butyl-2-hydroxy-5-methylbenzyl)-4-methylphenyl acrylate, and 2-[1-(2-hydroxy-3,5-di-tert-pentylphenyl)ethyl]-4,6-di-tert-pentylphenyl acrylate. 
     Examples of the amine-based anti-aging agent include aromatic amines, such as 1-naphthylamine, 2-naphthylamine, phenylenediamine, 4,4′-diaminobenzophenone, 4,4′-bis(dimethylamino)benzophenone, N-isopropyl-N′-phenylbenzene-1,4-diamine, N-(1,3-dimethylbutyl)-N′-phenyl-1,4-phenylenediamine, a 2,2,4-trimethyl-1,2-dihydroquinoline polymer, and 6-ethoxy-2,2,4-trimethyl-1,2-dihydroquinoline. In addition, a light stabilizer (HALS), a hindered amine compound, a nitroxyl radical (2,2,6,6-tetramethylpiperidin-1-oxyl (TEMPO)), or the like may also be preferably used as the amine-based anti-aging agent. 
     An example of the phosphorus-based anti-aging agent is a phosphite compound. Examples of the sulfur-based anti-aging agent include a thiol compound and a sulfide compound such as pentaerythrityltetrakis(3-laurylthiopropionate). 
     The above-mentioned anti-aging agent may be added in any one of a solid state, a molten state, or a solution state of being dissolved in a solvent capable of dissolving the anti-aging agent. The state of the polymer (A) at the time of the addition of the anti-aging agent may be any of a solid state and a solution state, but is preferably a solution state from the viewpoint of the dispersibility of the anti-aging agent. 
     When the polymer (A) contains the anti-aging agent, the lower limit of the content ratio of the anti-aging agent is preferably 0.05 part by mass, more preferably 0.1 part by mass, particularly preferably 0.2 part by mass with respect to 100 parts by mass of the polymer (A). In addition, the upper limit of the content ratio of the anti-aging agent is preferably 2 parts by mass, more preferably 1.5 parts by mass, particularly preferably 1.2 parts by mass. 
     A suitable method for obtaining the polymer (A) is a method involving subjecting monomers including butadiene to solution polymerization in the presence of an alkali metal compound, and performing the modification step using the resultant polymer solution as it is. This method is industrially useful. In addition, the polymer (A) may be subjected to the hydrogenation step as required. In those cases, the polymer (A) is obtained by removing the solvent from the solution obtained in the foregoing and isolating the polymer (A). The isolation of the polymer (A) may be performed by, for example, a known solvent removal method such as steam stripping and a drying operation such as heat treatment. 
     In order to make the dispersion stability of a slurry and the adhesiveness of an electrode more satisfactory, the polymer (A) preferably has one or more kinds of functional groups selected from the group consisting of: an amino group; a nitrogen-containing heterocyclic group; a phosphino group; a hydroxy group; a thiol group; and a hydrocarbyloxysilyl group, and more preferably has one or more kinds of functional groups selected from the group consisting of: an amino group; a nitrogen-containing heterocyclic group; and a hydrocarbyloxysilyl group. Any such functional group is particularly preferably introduced into an end of the polymer (A). 
     1.2. Physical Properties of Polymer (A) 
     Mooney Viscosity 
     The Mooney viscosity (ML 1 | 4 , 100° C.) of the polymer (A) is from 10 to 100. The lower limit value of the Mooney viscosity (ML 1+4 , 100° C.) of the polymer (A) is preferably 12, more preferably 15, particularly preferably 20. The upper limit value of the Mooney viscosity (ML 1+4 , 100° C.) of the polymer (A) is preferably 98, more preferably 93, particularly preferably 80. When the Mooney viscosity (ML 1+4 , 100° C.) of the polymer (A) is equal to or higher than the above-mentioned lower limit value, the dispersion stability of a slurry and the adhesiveness of an electrode can be improved to provide a satisfactory electrode. In addition, when the Mooney viscosity of the polymer (A) is set to fall within the above-mentioned ranges, the dispersion stability of the slurry is satisfactory, and the electrode to be obtained has appropriate flexibility. Accordingly, a crack hardly occurs after application or after pressing. In addition, an electrode that also has satisfactory adhesiveness and also provides satisfactory electrical storage device characteristics is obtained. 
     The Mooney viscosity of the polymer (A) may be adjusted by changing, for example, the composition, microstructure, molecular weight, or end functional group (polymerization initiation end or polymerization termination end) of the polymer (A). Specifically, the Mooney viscosity of the polymer (A) reduces when the use amount of the polymerization initiator is increased. The Mooney viscosity may be measured using a method described in Examples herein. 
     Bound Styrene Content 
     The bound styrene content of the polymer (A) is preferably from 5% to 40%, more preferably from 8% to 30%, particularly preferably from 10% to 27%. When the bound styrene content of the polymer (A) falls within the above-mentioned ranges, the adhesiveness and flexibility of an electrode can both be achieved. The bound styrene content may be measured by  1 H-NMR measurement. 
     Weight Average Molecular Weight 
     The weight average molecular weight (Mw) of the polymer (A) is preferably from 1.0×10 5  to 2.0×10 6 , more preferably from 1.0×10 5  to 1.5×10 6 , particularly preferably from 1.5×10 5  to 1.0×10 6 . When the weight average molecular weight (Mw) is equal to or higher than the above-mentioned lower limit values, the adhesiveness of an electrode tends to be easily improved. When the weight average molecular weight (Mw) is equal to or lower than the above-mentioned upper limit values, the flexibility of an electrode tends to be kept. As used herein, the term “weight average molecular weight (Mw)” refers to a weight average molecular weight in terms of polystyrene measured by gel permeation chromatography (GPC). 
     2. Binder Composition For All-Solid-State Secondary Battery 
     A binder composition for an all-solid-state secondary battery according to one embodiment of the present invention contains the above-mentioned polymer (A) and a liquid medium (B). The components contained in the binder composition for an all-solid-state secondary battery according to this embodiment are described in detail below. The polymer (A) has been described above, and hence detailed description thereof is omitted. 
     2.1. Liquid Medium (B) 
     The liquid medium (B) is not particularly limited, and there may be used, for example: aliphatic hydrocarbons, such as hexane, heptane, octane, decane, and dodecane; alicyclic hydrocarbons, such as cyclohexane, cycloheptane, cyclooctane, and cyclodecane; aromatic hydrocarbons, such as toluene, xylene, mesitylene, naphthalene, and tetralin; ketones, such as 3-pentanone, 4-heptanone, methyl hexyl ketone, and diisobutyl ketone; esters, such as butyl acetate, butyl butyrate, methyl butanoate, butyl pentanoate, butyl hexanoate, pentyl butyrate, pentyl pentanoate, pentyl hexanoate, hexyl butyrate, hexyl pentanoate, and hexyl hexanoate; and ethers, such as dibutyl ether, tetrahydrofuran, and anisole. Those solvents may be used alone or in combination thereof. 
     The content of the liquid medium (B) is preferably from 100 parts by mass to 10,000 parts by mass, more preferably from 150 parts by mass to 5,000 parts by mass, still more preferably from 200 parts by mass to 4,000 parts by mass, particularly preferably from 300 parts by mass to 3,000 parts by mass with respect to 100 parts by mass of the polymer (A). When the content of the liquid medium (B) is set to fall within the above-mentioned ranges, workability in the use of the binder composition for an all-solid-state secondary battery and a slurry for an all-solid-state secondary battery to be obtained therefrom can be improved. 
     Solubility 
     In the binder composition for an all-solid-state secondary battery according to this embodiment, the polymer (A) is preferably in a state of being dissolved in the liquid medium (B). That “the polymer (A) dissolves in the liquid medium (B)” means that the solubility of the polymer (A) in the liquid medium (B) is 1 g or more with respect to 100 g of the liquid medium (B). When the polymer (A) is in a state of being dissolved in the liquid medium (B), the surface of an active material can be easily coated with the polymer (A) excellent in flexibility and adhesiveness, and hence the detachment of the active material due to its stretching and shrinking at the time of charge and discharge can be effectively suppressed to facilitate the provision of an all-solid-state secondary battery showing a satisfactory charge-discharge durability characteristic. In addition, the stability of the slurry becomes satisfactory, and the applicability of the slurry to a current collector also becomes satisfactory. For the above-mentioned reasons, the polymer (A) is preferably in a state of being dissolved in the liquid medium (B). 
     2.2. Other Additives 
     The binder composition for an all-solid-state secondary battery according to this embodiment may contain additives, such as an anti-aging agent and a thickener, as required. 
     Anti-Aging Agent 
     Examples of the anti-aging agent include the various anti-aging agents described in the foregoing “1.1. Method of producing Polymer (A)″ section. 
     When the binder composition for an all-solid-state secondary battery according to this embodiment contains the anti-aging agent, the content ratio of the anti-aging agent is preferably from 0.05 part by mass to 2 parts by mass, more preferably from 0.1 part by mass to 1 part by mass, particularly preferably from 0.2 part by mass to 0.8 part by mass with respect to 100 parts by mass of the total solid content of the binder composition for an all-solid-state secondary battery. 
     Thickener 
     When the binder composition contains the thickener, the applicability of the slurry and the charge-discharge characteristic of the all-solid-state secondary battery to be obtained can be further improved in some cases. 
     Examples of the thickener include: cellulose-based polymers, such as carboxymethyl cellulose, methyl cellulose, ethyl cellulose, and hydroxypropyl cellulose; poly(meth)acrylic acid; an ammonium salt or alkali metal salt of the cellulose compound or the poly(meth)acrylic acid; modified polyvinyl alcohol and polyethylene oxide; and polyvinylpyrrolidone, polycarboxylic acid, starch oxide, starch phosphate, casein, various modified starches, chitin, and a chitosan derivative. Of those, a cellulose-based polymer is preferred. 
     When the binder composition for an all-solid-state secondary battery according to this embodiment contains the thickener, the content ratio of the thickener is preferably 5 parts by mass or less, more preferably from 0.1 part by mass to 3 parts by mass with respect to 100 parts by mass of the total solid content of the binder composition for an all-solid-state secondary battery. 
     2.3. Method of Preparing Binder Composition for All-Solid-State Secondary Battery 
     The binder composition for an all-solid-state secondary battery according to this embodiment may be prepared through a step including adding the liquid medium (B) to the polymer (A), further adding other additives as required, and appropriately performing stirring to dissolve the polymer (A) in the liquid medium (B). 
     The binder composition for an all-solid-state secondary battery according to this embodiment can form a binder having high adhesiveness not only to the current collector of an electrode, but also to a solid electrolyte material, and hence can have its use amount reduced to improve the conductivity of a solid electrolyte layer, thus being suitably usable for an all-solid-state type battery. 
     The method of preparing the binder composition for an all-solid-state secondary battery according to this embodiment may include a step of removing a particulate metal component in the binder composition (hereinafter sometimes referred to as “particulate metal removal step”). In the particulate metal removal step, the “particulate metal component” refers to a metal component present in a particulate form in the binder composition, and does not include a metal component dissolved and present in a metal ion state. 
     In the particulate metal removal step, a method for the removal of the particulate metal component from the binder composition for an all-solid-state secondary battery is not particularly limited, and examples thereof include: a method for removal based on filtration using a filter; a method for removal based on a vibration sieve; a method for removal based on centrifugation; and a method for removal based on a magnetic force. Of those, a method for removal based on a magnetic force is preferred because the object to be removed is the metal component. 
     The method for removal based on a magnetic force is not particularly limited as long as the method can remove the metal component. However, in consideration of productivity and removal efficiency, a method for removal involving arranging a magnetic filter in the production line of the binder composition for an all-solid-state secondary battery and passing the polymer solution therethrough is preferred. 
     The step of removing the particulate metal component from the polymer solution through a magnetic filter is preferably performed by passage through a magnetic filter forming a magnetic field having a magnetic flux density of 100 gauss or more. When the magnetic flux density is low, the removal efficiency of the metal component is reduced. For this reason, the magnetic flux density is preferably 1,000 gauss or more, and in consideration of the removal of stainless steel having weak magnetism, is more preferably 2,000 gauss or more, most preferably 5,000 gauss or more. 
     When the magnetic filter is arranged in the production line, it is preferred that a step of removing coarse foreign matter or metal particles through a filter such as a cartridge filter be included on the upstream side of the magnetic filter. This is because the coarse metal particles may pass through the magnetic filter depending on a flow rate at which the filtration is performed. 
     In addition, the magnetic filter has an effect even when the filtration is performed only once, but is more preferably of a circulation type. This is because, when the circulation type is adopted, the removal efficiency of metal particles is improved. 
     When the magnetic filter is arranged in the production line of the binder composition for an all-solid-state secondary battery, the site at which the magnetic filter is arranged is not particularly limited, but the magnetic filter is preferably arranged immediately before the binder composition for an all-solid-state secondary battery is filled into a container, or when a filtration step with a filtration filter is present before the filling into a container, is preferably arranged before the filtration filter. This is to prevent the mixing of the metal component into a product in the case where the metal component is desorbed from the magnetic filter. 
     Specific examples of the particulate metal component include metals, such as Fe, Ni, and Cr, or metal compounds thereof. The above-mentioned particulate metal component sometimes remains in the binder composition for an all-solid-state secondary battery according to this embodiment, and the particulate metal component is preferably removed through the particulate metal removal step so that the content of a particulate metal component having a particle diameter of 20 µm or more may become 10 ppm or less. The content of the particulate metal component having a particle diameter of 20 µm or more may be measured as follows: the resultant binder composition for an all-solid-state secondary battery is further filtered through a mesh having an aperture corresponding to 20 um; the element of metal particles remaining on the mesh is subjected to elemental analysis using an X-ray microanalyzer (EPMA); the metal particles are dissolved with an acid capable of dissolving the metal; and the resultant is subjected to measurement using Inductively Coupled Plasma (ICP). 
     3. Slurry for All-Solid-State Secondary Battery 
     A slurry for an all-solid-state secondary battery according to one embodiment of the present invention contains: the above-mentioned binder composition for an all-solid-state secondary battery; and a solid electrolyte. The slurry for an all-solid-state secondary battery according to this embodiment may be used as a material for forming any one active material layer out of a positive electrode active material layer and a negative electrode active material layer, and may also be used as a material for forming a solid electrolyte layer. 
     The slurry for an all-solid-state secondary battery, for forming a positive electrode active material layer, contains the above-mentioned binder composition for an all-solid-state secondary battery, a solid electrolyte, and an active material for a positive electrode (hereinafter sometimes referred to simply as “positive electrode active material”). In addition, the slurry for an all-solid-state secondary battery, for forming a negative electrode active material layer, contains the above-mentioned binder composition for an all-solid-state secondary battery, a solid electrolyte, and an active material for a negative electrode (hereinafter sometimes referred to simply as “negative electrode active material”). Further, the slurry for an all-solid-state secondary battery, for forming a solid electrolyte layer, contains the above-mentioned binder composition for an all-solid-state secondary battery, and a solid electrolyte. The components that may be contained in the slurry for an all-solid-state secondary battery according to this embodiment are described below. 
     3.1. Active Materials 
     Positive Electrode Active Material 
     As the positive electrode active material, there may be used, for example: inorganic compounds, such as MnO 2 , MoO 3 , V 2 O 5 , V 6 O 13 , Fe 2 O 3 , Fe 3 O 4 , Li (1-x) CoO 2 , Li (1-x) NiO 2 , Li x Co y Sn z O 2 , Li (1-x) Co (1-y )Ni y O 2 , Li (1+x) Ni ⅓ Co ⅓ Mn ⅓ O 2 , TiS 2 , TiS 3 , MoS 3 , FeS 2 , CuF 2 , and NiF 2 ; carbon materials, such as a fluorocarbon, graphite, a vapor-grown carbon fiber and/or a pulverized product thereof, a PAN-based carbon fiber and/or a pulverized product thereof, and a pitch-based carbon fiber and/or a pulverized product thereof; and conductive polymers, such as polyacetylene and poly-p-phenylene. Those positive electrode active materials may be used alone or in combination thereof. 
     The average particle diameter of the positive electrode active material is not particularly limited, but is preferably from 0.1 µm to 50 µm because a contact area at a solid-solid interface can be increased. In order to allow the positive electrode active material to have a predetermined average particle diameter, it is appropriate to use a pulverizer, such as a mortar, a ball mill, a sand mill, a vibrating ball mill, a satellite ball mill, or a swirling airflow type jet mill, or a classifier, such as a sieve or an air classifier. At the time of pulverization, wet type pulverization in which a solvent, such as water or methanol, is caused to coexist may be performed as required. Both a dry type and a wet type may be used for classification. In addition, a positive electrode active material obtained by a firing method may be used after being washed with water, an acidic solution, an alkaline aqueous solution, or an organic solvent. 
     The average particle diameter of the active material refers to a volume average particle diameter measured using a particle size distribution-measuring apparatus employing a laser diffraction method as its measurement principle. Examples of such laser diffraction particle size distribution-measuring apparatus include the HORIBA LA-300 series and the HORIBA LA-920 series (which are manufactured by Horiba, Ltd.). 
     In the slurry for an all-solid-state secondary battery, for forming a positive electrode active material layer, the content ratio of the positive electrode active material is preferably from 20 parts by mass to 90 parts by mass, more preferably from 40 parts by mass to 80 parts by mass with respect to 100 parts by mass of the total of solid components. 
     Negative Electrode Active Material 
     The negative electrode active material is not particularly limited as long as the negative electrode active material can reversibly store and release lithium ions or the like, but examples thereof include a carbonaceous material, a metal oxide, such as tin oxide or silicon oxide, elemental lithium, a lithium alloy such as a lithium-aluminum alloy, and a metal capable of forming an alloy with lithium, such as Sn, Si, or In. Of those, a carbonaceous material is preferably used from the viewpoint of reliability, and a silicon-containing material is preferably used from the viewpoint that a battery capacity can be increased. 
     The carbonaceous material is not particularly limited as long as the material is substantially formed of carbon, but examples thereof include petroleum pitch, natural graphite, artificial graphite such as vapor-grown graphite, and carbonaceous materials obtained by firing various synthetic resins, such as a PAN-based resin and a furfuryl alcohol resin. The examples further include various carbon fibers, such as a PAN-based carbon fiber, a cellulose-based carbon fiber, a pitch-based carbon fiber, a vapor-grown carbon fiber, a dehydrated PVA-based carbon fiber, a lignin carbon fiber, a glassy carbon fiber, and an activated carbon fiber, mesophase microspheres, graphite whiskers, and flat plate-shaped graphite. 
     The silicon-containing material can store more lithium ions than graphite or acetylene black to be generally used. That is, the silicon-containing material provides an increased lithium ion storage capacity per unit weight, and hence can increase the battery capacity. As a result, the silicon-containing material has an advantage of being capable of lengthening a battery driving time, and hence is expected to be used for, for example, an on-vehicle battery in the future. Meanwhile, the silicon-containing material is known to undergo a large volume change along with the storage and release of lithium ions. Whereas graphite and acetylene black each undergo a volume expansion of from about 1.2 times to about 1.5 times through the storage of lithium ion, a negative electrode active material containing silicon may undergo a volume expansion as high as about 3 times. When such expansion and contraction (charge and discharge) are repeated, a lack of durability of the negative electrode active material layer occurs, with the result that, for example, a lack of contact is liable to occur or a cycle life (battery life) is shortened in some cases. The negative electrode active material layer formed using the slurry for an all-solid-state secondary battery according to this embodiment exhibits high durability (strength) by virtue of the binder component following even the repetition of such expansion and contraction, and hence exhibits an excellent effect of being capable of achieving a satisfactory cycle life characteristic even under a high voltage. 
     The average particle diameter of the negative electrode active material is not particularly limited, but is preferably from 0.1 µm to 60 µm because a contact area at a solid-solid interface can be increased. In order to allow the negative electrode active material to have a predetermined average particle diameter, the pulverizer or classifier exemplified above may be used. 
     In the slurry for an all-solid-state secondary battery, for forming a negative electrode active material layer, the content ratio of the negative electrode active material is preferably from 20 parts by mass to 90 parts by mass, more preferably from 40 parts by mass to 80 parts by mass with respect to 100 parts by mass of the total of the solid components. 
     3.2. Solid Electrolyte 
     The slurry for an all-solid-state secondary battery according to this embodiment contains a solid electrolyte. A solid electrolyte to be generally used for an all-solid-state secondary battery may be appropriately selected and used as the solid electrolyte, but the solid electrolyte is preferably a sulfide-based solid electrolyte or an oxide-based solid electrolyte. 
     The lower limit of the average particle diameter of the solid electrolyte is preferably 0.01 µm, more preferably 0.1 µm. The upper limit of the average particle diameter of the solid electrolyte is preferably 100 µm, more preferably 50 µm. 
     In the slurry for an all-solid-state secondary battery according to this embodiment, the lower limit of the content ratio of the solid electrolyte is preferably 50 parts by mass, more preferably 70 parts by mass, particularly preferably 90 parts by mass with respect to 100 parts by mass of the total of the solid components because battery performance and a reducing/maintaining effect on interfacial resistance can both be achieved. The upper limit of the content ratio of the solid electrolyte is preferably 99.9 parts by mass, more preferably 99.5 parts by mass, particularly preferably 99.0 parts by mass with respect to 100 parts by mass of the total of the solid components because of a similar effect. However, when the solid electrolyte is used together with the positive electrode active material or the negative electrode active material, their total preferably falls within the above-mentioned concentration ranges. 
     Sulfide-Based Solid Electrolyte 
     It is preferred that the sulfide-based solid electrolyte contain a sulfur atom (S) and a metal element of Group 1 or Group 2 of the periodic table, have ion conductivity, and have an electron insulating property. An example of such sulfide-based solid electrolyte is a sulfide-based solid electrolyte having a compositional formula represented by the following general formula (7). 
     
       
         
           
             
               
                 Li 
               
               a 
             
             
               M 
               b 
             
             
               P 
               c 
             
             
               S 
               d 
             
           
         
       
     
      In the formula (7), M represents an element selected from B, Zn, Si, Cu, Ga, and Ge. “a” to “d” represent the composition ratios of the respective elements, and satisfy a:b:c:d=1 to 12:0 to 1:1:2 to 9. 
     In the general formula (7), the composition ratios of Li, M, P, and S satisfy preferably b=0, more preferably b=0 and a:c:d=1 to 9:1:3 to 7, still more preferably b=0 and a:c:d=1.5 to 4:1:3.25 to 4.5. As described later, the composition ratio of each element may be controlled by adjusting the blending amount of a raw material compound in the production of the sulfide-based solid electrolyte. 
     The sulfide-based solid electrolyte may be amorphous (glass), may be a crystal (glass ceramics), or may be only partially crystallized. 
     A ratio between Li 2 S and P 2 S 5  in each of Li-P-S-based glass and Li-P-S-based glass ceramics is preferably from 65:35 to 85:15, more preferably from 68:32 to 80:20 in terms of molar ratio of Li 2 S:P 2 S 5 . When the ratio between Li 2 S and P 2 S 5  is set to fall within the ranges, lithium ion conductivity can be increased. The lithium ion conductivity of the sulfide-based solid electrolyte is preferably 1×10 -4  S/cm or more, more preferably 1×10 -3  S/cm or more. 
     An example of such compound is one obtained using a raw material composition containing Li 2 S and a sulfide of an element of any one of Group 13 to Group 15. Specific examples thereof include Li 2 S—P 2 S 5 , Li 2 S—GeS 2 , Li 2 S—GeS 2 —ZnS, Li 2 S—Ga 2 S 3 , Li 2 S—GeS 2 —Ga 2 S 3 , Li 2 S—GeS 2 —P 2 S 5 , Li 2 S—GeS 2 —Sb 2 S 5 , Li 2 S—GeS 2 —Al 2 S 3 , Li 2 S—SiS 2 , Li 2 S—Al 2 S 3 , Li 2 S—SiS 2 —Al 2 S 3 , Li 2 S—SiS 2 —P 2 S 5 , Li 2 S—SiS 2 —LiI, Li 2 S—SiS 2 —Li 4 SiO 4 , Li 2 S—SiS 2 —Li 3 PO 4 , and Li 10 GeP 2 S 12 . Of those, a crystalline and/or amorphous raw material composition formed of Li 2 S—P 2 S 5 , Li 2 S—GeS 2 —Ga 2 S 3 , Li 2 S—GeS 2 —P 2 S 5 , Li 2 S—SiS 2 —P 2 S 5 , Li 2 S—SiS 2 —Li 4 SiO 4 , or Li 2 S—SiS 2 —Li 3 PO 4  is preferred because the composition has high lithium ion conductivity. 
     As a method of synthesizing the sulfide-based solid electrolyte through use of such raw material composition, there is given, for example, an amorphization method. Examples of the amorphization method include a mechanical milling method and a melt quenching method. Of those, a mechanical milling method is preferred because the method enables treatment at ordinary temperature, thereby being able to simplify a production process. 
     The sulfide-based solid electrolyte may be synthesized with reference to the literatures, such as T. Ohtomo, A. Hayashi, M. Tatsumisago, Y. Tsuchida, S. Hama, K. Kawamoto, Journal of Power Sources, 233, (2013), pp 231-235, and A. Hayashi, S. Hama, H. Morimoto, M. Tatsumisago, T. Minami, Chem. Lett., (2001), pp 872-873. 
     Oxide-Based Solid Electrolyte 
     It is preferred that the oxide-based solid electrolyte contain an oxygen atom (O) and a metal element of Group 1 or Group 2 of the periodic table, have ion conductivity, and have an electron insulating property. Examples of such oxide-based solid electrolyte include Li xa La ya TiO 3  [xa=0.3 to 0.7, ya=0.3 to 0.7] (LLT), Li 7 La 3 Zr 2 O 12  (LLZ), Li 3.5 Zn 0.25 GeO 4  having a lithium super ionic conductor (LISICON)-type crystal structure, LiTi 2 P 3 Oi 2  having a natrium super ionic conductor (NASICON)-type crystal structure, Li (1+xb+yb) (A1,Ga) xb (Ti,Ge) (2-xb) Si yb P (3-yb) O 12  (where 0≤xb≤1 and 0≤yb≤1), and Li 7 La 3 Zr 2 O 12  having a garnet-type crystal structure. 
     In addition, a phosphorus compound containing Li, P, and O is also preferred as the oxide-based solid electrolyte. Examples thereof include lithium phosphate (Li 3 PO 4 ), LiPON obtained by substituting part of the oxygen atoms of lithium phosphate with a nitrogen atom, and LiPOD (D represents at least one kind selected from Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zr, Nb, Mo, Ru, Ag, Ta, W, Pt, and Au). In addition, for example, LiAON (A represents at least one kind selected from Si, B, Ge, Al, C, and Ga) may also be preferably used. 
     Of those, Li (1+xb+yb) (Al,Ga) xb (Ti,Ge) (2-xb) Si yb P 3-yb O 12  (where 0≤xb≤1 and 0≤yb≤1) is preferred because of having high lithium ion conductivity and being chemically stable and easy to handle. Those oxide-based solid electrolytes may be used alone or in combination thereof. 
     The lithium ion conductivity of the oxide-based solid electrolyte is preferably 1 × 10 -6  S/cm or more, more preferably 1 × 10 -5  S/cm or more, particularly preferably 5 × 10 -5  S/cm or more. 
     3.3. Other Additives 
     The slurry for an all-solid-state secondary battery according to this embodiment may contain, besides the above-mentioned components, other additives as required. Examples of the other additives include a conductivity-imparting agent, a thickener, and a liquid medium (excluding the liquid medium included in the binder composition for an all-solid-state secondary battery). 
     Conductivity-Imparting Agent 
     The conductivity-imparting agent has an effect of assisting the conductivity of electrons, and hence is added to the slurry for an all-solid-state secondary battery for forming a positive electrode active material layer or a negative electrode active material layer. Specific examples of the conductivity-imparting agent include carbons, such as activated carbon, acetylene black, ketjen black, furnace black, graphite, a carbon fiber, and a fullerene. Of those, acetylene black or furnace black is preferred. When the slurry for an all-solid-state secondary battery according to this embodiment contains the conductivity-imparting agent, the content ratio of the conductivity-imparting agent is preferably 20 parts by mass or less, more preferably from 1 part by mass to 15 parts by mass, particularly preferably from 2 parts by mass to 10 parts by mass with respect to 100 parts by mass of the active material. 
     Thickener 
     Specific examples of the thickener include the thickeners given as examples in the foregoing &lt;Thickener&gt; section in “2.2. Other Additives”. When the slurry for an all-solid-state secondary battery according to this embodiment contains the thickener, the content ratio of the thickener is preferably 5 parts by mass or less, more preferably from 0.1 part by mass to 3 parts by mass with respect to 100 parts by mass of the total solid content of the slurry for an all-solid-state secondary battery. 
     Liquid Medium 
     Specific examples of the liquid medium include the same liquid media as the liquid media (B) given as examples in the foregoing “2.1. Liquid Medium (B)” section. When the liquid medium is added to the slurry for an all-solid-state secondary battery according to this embodiment, the same liquid medium as the liquid medium (B) contained in the binder composition for an all-solid-state secondary battery may be added, or a different liquid medium may be added, but the same liquid medium is preferably added. The content ratio of the liquid medium in the slurry for an all-solid-state secondary battery according to this embodiment may be adjusted to any ratio in order to make its applicability satisfactory to suppress the concentration gradients of the polymer (A) and the active material in drying treatment after application. 
     3.4. Method of Preparing Slurry for All-Solid-State Secondary Battery 
     The slurry for an all-solid-state secondary battery according to this embodiment may be produced by any method as long as the slurry contains the above-mentioned binder composition for an all-solid-state secondary battery and the solid electrolyte. 
     However, in order to more efficiently and inexpensively produce a slurry having more satisfactory dispersibility and stability, the slurry is preferably produced by adding the solid electrolyte and the optionally added components to be used as required to the above-mentioned binder composition for an all-solid-state secondary battery, followed by their mixing. The mixing of the binder composition for an all-solid-state secondary battery and the other components may be performed by stirring by a known technique. 
     With regard to mixing/stirring means for producing the slurry for an all-solid-state secondary battery, there is a need to select: a mixing machine capable of performing stirring to such a degree that aggregates of solid electrolyte particles do not remain in the slurry; and necessary and sufficient dispersion conditions. The degree of dispersion may be measured with a grind gauge, and the mixing/dispersion is preferably performed so that no aggregate product larger than at least 100 µm remains. Examples of the mixing machine that meets such condition may include a ball mill, a bead mill, a sand mill, a defoaming machine, a pigment disperser, a mortar machine, an ultrasonic disperser, a homogenizer, a planetary mixer, and a Hobart mixer. 
     At least part of the process of the preparation of the slurry for an all-solid-state secondary battery (mixing operation for its components) is preferably performed under reduced pressure. With this configuration, air bubbles can be prevented from occurring in the positive electrode active material layer, negative electrode active material layer, or solid electrolyte layer to be obtained. The degree of pressure reduction is preferably set to from about 5.0×10 3  Pa to about 5.0×10 5  Pa in terms of absolute pressure. 
     4. Solid Electrolyte Sheet 
     A solid electrolyte sheet according to one embodiment of the present invention includes a substrate and a layer formed thereon by applying and drying the above-mentioned slurry for an all-solid-state secondary battery. 
     The solid electrolyte sheet according to this embodiment may be produced by, for example, applying the above-mentioned slurry for an all-solid-state secondary battery onto a film serving as a base material by a blade method (e.g., a doctor blade method), a calender method, a spin coating method, a dip coating method, an ink jet method, an offset method, a die coating method, a spray method, or the like, drying the slurry to form a layer, and then peeling the film. As such film, there may be used, for example, a general one such as a PET film subjected to release treatment. 
     Alternatively, the solid electrolyte sheet may be formed by directly applying the slurry for an all-solid-state secondary battery containing the solid electrolyte to the surface of a green sheet on which the solid electrolyte sheet is laminated, or of another constituent member of an all-solid-state secondary battery, and drying the slurry. 
     For the solid electrolyte sheet according to this embodiment, the above-mentioned slurry for an all-solid-state secondary battery is preferably applied so that the thickness of the layer may fall within the range of preferably from 1 µm to 500 µm, more preferably from 1 µm to 100 µm. When the thickness of the layer falls within the above-mentioned ranges, conduction ions such as lithium ions can easily move, and hence the output of the battery is increased. In addition, when the thickness of the layer falls within the above-mentioned ranges, the battery as a whole can be thinned, and hence its capacity per unit volume can be increased. 
     The drying of the slurry for an all-solid-state secondary battery is not particularly limited, and any means, such as drying by heating, drying under reduced pressure, or drying by heating under reduced pressure, may be used. A drying atmosphere is not particularly limited, and the drying may be performed, for example, under an air atmosphere. 
     When the solid electrolyte sheet contains a positive electrode active material and a solid electrolyte, the solid electrolyte sheet has a function as a positive electrode active material layer. When the solid electrolyte sheet contains a negative electrode active material and a solid electrolyte, the solid electrolyte sheet has a function as a negative electrode active material layer. In addition, when the solid electrolyte sheet contains no positive electrode active material and no negative electrode active material, and contains a solid electrolyte, the solid electrolyte sheet has a function as a solid electrolyte layer. 
     5. Electrode for All-Solid-State Secondary Battery and All-Solid-State Secondary Battery 
     An electrode for an all-solid-state secondary battery according to one embodiment of the present invention includes: a current collector; and an active material layer formed on a surface of the current collector by applying and drying the above-mentioned slurry for an all-solid-state secondary battery. Such electrode for an all-solid-state secondary battery may be produced by applying the above-mentioned slurry for an all-solid-state secondary battery to the surface of the current collector such as metal foil to form a coating film, and then drying the coating film to form the active material layer. The thus produced electrode for an all-solid-state secondary battery is such that the active material layer containing the above-mentioned polymer (A), a solid electrolyte, and an active material, and further, optional components added as required is bound onto the current collector, and hence the electrode for an all-solid-state secondary battery is excellent in flexibility, abrasion resistance, and powder fall-off resistance, and also shows a satisfactory charge-discharge durability characteristic. 
     An electron conductor that does not cause a chemical change is preferably used as the current collector of a positive electrode or a negative electrode. As the current collector of a positive electrode, aluminum, stainless steel, nickel, titanium, alloys thereof, and the like, and a product obtained by subjecting a surface of aluminum or stainless steel to treatment with carbon, nickel, titanium, or silver are preferred. Of those, aluminum and an aluminum alloy are more preferred. As the current collector of a negative electrode, aluminum, copper, stainless steel, nickel, titanium, and alloys thereof are preferred. Of those, aluminum, copper, and a copper alloy are more preferred. 
     With regard to the shape of the current collector, a current collector having a film sheet shape is generally used, but for example, a net, a punched product, a lath body, a porous body, a foam body, or a molded body of a fiber group may also be used. The thickness of the current collector is not particularly limited, but is preferably from 1 µm to 500 µm. In addition, it is also preferred that unevenness be formed on the surface of the current collector through surface treatment. 
     A doctor blade method, a reverse roll method, a comma bar method, a gravure method, an air knife method, or the like may be utilized as means for applying the slurry for an all-solid-state secondary battery onto the current collector. As conditions for the drying treatment of the applied film of the slurry for an all-solid-state secondary battery, a treatment temperature is preferably from 20° C. to 250° C., more preferably from 50° C. to 150° C., and a treatment time is preferably from 1 minute to 120 minutes, more preferably from 5 minutes to 60 minutes. 
     In addition, the active material layer formed on the current collector may be subjected to press processing and compressed. A high-pressure super press, a soft calender, a 1-ton press machine, or the like may be utilized as means for performing the press processing. Conditions for the press processing may be appropriately set in accordance with the processing machine to be used. 
     The active material layer formed on the current collector as described above has, for example, a thickness of from 40 µm to 100 µm and a density of from 1.3 g/cm 3  to 2.0 g/cm 3 . 
     The thus produced electrode for an all-solid-state secondary battery is suitably used as an electrode in an all-solid-state secondary battery having a configuration in which a solid electrolyte layer is sandwiched between a pair of electrodes, specifically as a positive electrode and/or negative electrode for an all-solid-state secondary battery. In addition, a solid electrolyte layer formed using the above-mentioned slurry for an all-solid-state secondary battery is suitably used as a solid electrolyte layer for an all-solid-state secondary battery. 
     An all-solid-state secondary battery according to this embodiment may be produced using a known method. Specifically, such a production method as described below may be used. 
     First, a slurry for an all-solid-state secondary battery positive electrode containing a solid electrolyte and a positive electrode active material is applied onto a current collector and dried to form a positive electrode active material layer, to thereby produce a positive electrode for an all-solid-state secondary battery. Then, a slurry for an all-solid-state secondary battery solid electrolyte layer containing a solid electrolyte is applied to the surface of the positive electrode active material layer of the positive electrode for an all-solid-state secondary battery and dried to form a solid electrolyte layer. Further, similarly, a slurry for an all-solid-state secondary battery negative electrode containing a solid electrolyte and a negative electrode active material is applied to the surface of the solid electrolyte layer and dried to form a negative electrode active material layer. Finally, a negative electrode-side current collector (metal foil) is mounted on the surface of the negative electrode active material layer. Thus, a desired structure of an all-solid-state secondary battery may be obtained. 
     Alternatively, a solid electrolyte sheet is produced on a release PET film, and the resultant is bonded onto a positive electrode for an all-solid-state secondary battery or negative electrode for an all-solid-state secondary battery produced in advance. After that, the release PET is peeled off. Thus, a desired structure of an all-solid-state secondary battery may be obtained. It is appropriate that a method for the application of each of the above-mentioned compositions be in accordance with a conventional method. At this time, after the application of each of the slurry for an all-solid-state secondary battery positive electrode, the slurry for an all-solid-state secondary battery solid electrolyte layer, and the slurry for an all-solid-state secondary battery negative electrode, each slurry is preferably subjected to heating treatment. A heating temperature is preferably equal to or higher than the glass transition temperature of the polymer (A). Specifically, the heating temperature is preferably 30° C. or more, more preferably 60° C. or more, most preferably 100° C. or more. The upper limit thereof is preferably 300° C. or less, more preferably 250° C. or less. When heating is performed within such temperature ranges, while the polymer (A) is softened, its shape can be maintained. Thus, satisfactory adhesiveness and lithium ion conductivity can be obtained in the all-solid-state secondary battery. 
     In addition, it is also preferred to perform pressurization while performing the heating. A pressurization pressure is preferably 5 kN/cm 2  or more, more preferably 10 kN/cm 2  or more, particularly preferably 20 kN/cm 2  or more. As used herein, the term “discharge capacity” refers to a value per weight of the active material of an electrode, and in a half cell, refers to a value per weight of the active material of its negative electrode. 
     6. Examples 
     The present invention is described below by way of Examples, but the present invention is not limited to these Examples. “Part(s)” and “%” in Examples and Comparative Examples are by mass unless otherwise stated. 
     6.1. Measurement Methods for Various Physical Property Values 
     In the following Examples and Comparative Examples, measurement methods for various physical property values are as described below. 
     Measurement of 1,2-Vinyl Bond Content 
     A 1,2-vinyl bond content (unit: mol%) in a polymer was determined by 500 MHz  1 H-NMR using deuterated chloroform as a solvent. 
     Bound Styrene Content 
     A bound styrene content (unit: %) in a polymer was determined by 500 MHz  1 H-NMR using deuterated chloroform as a solvent. 
     Moisture Content 
     Moisture contents in a polymer and in a binder composition were measured using a Karl Fischer moisture meter (manufactured by Mitsubishi Chemical Analytech Co., Ltd., CA-310, coulometric titration method-vaporization method, 250° C.). 
     Cyclohexane Content 
     Tetrahydrofuran and a polymer were placed in an Erlenmeyer flask with a stopper and stirred to prepare a 3% polymer solution. A cyclohexane amount in the polymer was determined using a gas chromatograph (manufactured by Shimadzu Corporation, GC-2014, column: DB-1) and using tetradecane as an internal standard. 
     Weight Average Molecular Weight (Mw) 
     A weight average molecular weight was determined in terms of polystyrene from a retention time corresponding to the apex of the maximum peak of a GPC curve obtained using gel permeation chromatography (GPC) (product name: “HLC-8120GPC”, manufactured by Tosoh Corporation). 
     
       
         
           
               
               
             
               
                 Conditions of GPC 
               
             
            
               
                 Column: product name: “GMHXL” (manufactured by Tosoh Corporation) 
                 2 columns 
               
               
                 Column temperature: 
                 40° C. 
               
               
                 Mobile phase: 
                 tetrahydrofuran 
               
               
                 Flow rate: 
                 1.0 ml/min 
               
               
                 Sample concentration: 
                 10 mg/20 ml 
               
            
           
         
       
     
     Hydrogenation Ratio 
     The hydrogenation ratio of double bonds in a polymer was determined as follows: 500 MHz  1 H-NMR was measured using deuterated chloroform as a solvent, and a value was calculated from the peak area of the resultant spectrum on the basis of the calculation formula for α and was adopted as the hydrogenation ratio. 
     Mooney Viscosity (ML 1+4 , 100° C.) 
     The Mooney viscosity of a polymer was determined in conformity with JIS K6300 using an L rotor under the conditions of 1 minute of preheating, a rotor operation time of 4 minutes, and a temperature of 100° C. 
     Metal Element Amount: Cu 
     The content of the copper element in a binder composition was determined by inductively coupled plasma mass spectroscopy (ICP-MS). 
     6.2. Synthesis Examples of Polymers 
     Synthesis Example 1 
     An autoclave reactor having an internal volume of 50 liters, which had been purged with nitrogen, was loaded with 25 kg of cyclohexane serving as a hydrocarbon solvent, 500 g of tetrahydrofuran serving as a vinyl control agent, 980 g of styrene, 4,000 g of 1,3-butadiene, and 0.55 g (in terms of m-, p-divinylbenzene) of divinylbenzene (purity: 55 mass%). After the temperature of the contents of the reactor had been adjusted to 10° C., 51.5 mmol of n-butyllithium serving as a polymerization initiator was added to initiate polymerization. The polymerization was performed under a thermally insulated condition, and the highest temperature reached 85° C. At the time point when a polymerization conversion rate of 99% was achieved (after a lapse of 26 minutes from the initiation of the polymerization), 20 g of styrene was added, and the mixture was further polymerized for 3 minutes. After that, 2.1 mmol of tin tetrachloride was added, and the mixture was subjected to a reaction for 30 minutes. Further, 43.8 mmol of N,N-bis(trimethylsilyl)aminopropylmethyldiethoxysilane (BTADS) was added, and the mixture was subjected to a reaction for 30 minutes to provide a polymer solution containing a modified conjugated diene-based copolymer. 
     After that, at a hydrogen gas supply pressure of 0.7 MPa (gauge pressure), the reaction solution was controlled to 90° C., and a hydrogenation catalyst mainly formed of titanocene dichloride was added to initiate a hydrogenation reaction. At the time point when the absorption of hydrogen in the modified conjugated diene-based copolymer reached a cumulative amount corresponding to a target hydrogenation ratio (15 mol%), the inside of the reaction vessel was purged with nitrogen to provide a polymer solution containing a hydrogenated modified conjugated diene-based copolymer. To the polymer solution, 15 g of 2,6-di-tert-butyl-p-cresol was added, and then the solvent was removed by performing steam stripping using hot water adjusted to pH=9 with sodium hydroxide, to provide a rubbery hydrogenated modified conjugated diene-based copolymer. After that, the hydrogenated modified conjugated diene-based copolymer was dried using a heat roll controlled to a temperature of 110° C. to provide a polymer (A-1). The polymer (A-1) had a 1,2-vinyl bond content of 55 mol%, a bound styrene content of 20%, a hydrogenation ratio of 16 mol%, and a Mooney viscosity (ML 1+4 , 100° C.) of 35. 
     Synthesis Example 2 
     A polymer (A-2) was synthesized by appropriately applying the synthesis method of Synthesis Example 1 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-2) had a 1,2-vinyl bond content of 55 mol%, a bound styrene content of 20%, a hydrogenation ratio of 30 mol%, and a Mooney viscosity (ML 1+4 , 100° C.) of 52. 
     Synthesis Example 3 
     An autoclave reactor having an internal volume of 50 liters, which had been purged with nitrogen, was loaded with 25 kg of cyclohexane serving as a hydrocarbon solvent, 500 g of tetrahydrofuran serving as a vinyl control agent, 1,000 g of styrene, 3,900 g of 1,3-butadiene, and 0.55 g (in terms of m-, p-divinylbenzene) of divinylbenzene (purity: 55 mass%). After the temperature of the contents of the reactor had been adjusted to 10° C., 51.5 mmol of n-butyllithium serving as a polymerization initiator was added to initiate polymerization. The polymerization was performed under a thermally insulated condition, and the highest temperature reached 85° C. At the time point when a polymerization conversion rate of 99% was achieved (after a lapse of 26 minutes from the initiation of the polymerization), 100 g of 1,3-butadiene was added, and the mixture was further polymerized for 3 minutes. After that, 2.1 mmol of tin tetrachloride was added, and the mixture was subjected to a reaction for 30 minutes. Further, 43.8 mmol of N,N-bis(trimethylsilyl)aminopropylmethyldiethoxysilane (BTADS) was added, and the mixture was subjected to a reaction for 30 minutes to provide a polymer solution containing a modified conjugated diene-based copolymer. 
     To the resultant polymer solution, 15 g of 2,6-di-tert-butyl-p-cresol was added, and then the solvent was removed by performing steam stripping using hot water adjusted to pH=9 with sodium hydroxide, to provide a modified conjugated diene-based copolymer. After that, the modified conjugated diene-based copolymer was dried using a heat roll controlled to a temperature of 110° C. to provide a polymer (A-3). The polymer (A-3) had a 1,2-vinyl bond content of 55 mol%, a bound styrene content of 20%, and a Mooney viscosity (ML 1+4 , 100° C.) of 45. 
     Synthesis Example 4 
     A polymer (A-4) was synthesized by appropriately applying the synthesis method of Synthesis Example 3 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-4) had a 1,2-vinyl bond content of 62 mol%, a bound styrene content of 20%, and a Mooney viscosity (ML 1+4 , 100° C.) of 74. 
     Synthesis Example 5 
     A polymer (A-5) was synthesized by appropriately applying the synthesis method of Synthesis Example 1 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-5) had a 1,2-vinyl bond content of 57 mol%, a bound styrene content of 23%, a hydrogenation ratio of 61 mol%, and a Mooney viscosity (ML 1+4 , 100° C.) of 41. 
     Synthesis Example 6 
     A polymer (A-6) was synthesized by appropriately applying the synthesis method of Synthesis Example 1 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-6) had a 1,2-vinyl bond content of 58 mol%, a bound styrene content of 27%, a hydrogenation ratio of 14 mol%, and a Mooney viscosity (ML 1 | 4 , 100° C.) of 47. 
     Synthesis Example 7 
     A polymer (A-7) was synthesized by appropriately applying the synthesis method of Synthesis Example 3 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-7) had a 1,2-vinyl bond content of 57 mol%, a bound styrene content of 29%, and a Mooney viscosity (ML 1+4 , 100° C.) of 93. 
     Synthesis Example 8 
     A polymer (A-8) was synthesized by appropriately applying the synthesis method of Synthesis Example 3 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-8) had a 1,2-vinyl bond content of 56 mol%, a bound styrene content of 10%, and a Mooney viscosity (ML 1+4 , 100° C.) of 10. 
     Synthesis Example 9 
     A polymer (A-9) was synthesized by appropriately applying the synthesis method of Synthesis Example 3 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-9) had a 1,2-vinyl bond content of 20 mol%, a bound styrene content of 24%, and a Mooney viscosity (ML 1+4 , 100° C.) of 15. 
     Synthesis Example 10 
     A polymer (A-10) was synthesized by appropriately applying the synthesis method of Synthesis Example 1 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-10) had a 1,2-vinyl bond content of 44 mol%, a bound styrene content of 29%, a hydrogenation ratio of 31 mol%, and a Mooney viscosity (ML 1+4 , 100° C.) of 75. 
     Synthesis Example 11 
     A polymer (A-11) was synthesized by appropriately applying the synthesis method of Synthesis Example 1 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-11) had a 1,2-vinyl bond content of 42 mol%, a bound styrene content of 29%, a hydrogenation ratio of 95 mol%, and a Mooney viscosity (ML 1+4 , 100° C.) of 66. 
     Synthesis Example 12 
     A polymer (A-12) was synthesized by appropriately applying the synthesis method of Synthesis Example 3 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-12) had a 1,2-vinyl bond content of 56 mol%, a bound styrene content of 27.1%, and a Mooney viscosity (ML 1+4 , 100° C.) of 9. 
     Synthesis Example 13 
     A polymer (A-13) was synthesized by appropriately applying the synthesis method of Synthesis Example 3 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-13) had a 1,2-vinyl bond content of 57 mol%, a bound styrene content of 32%, and a Mooney viscosity (ML 1+4 , 100° C.) of 110. 
     Synthesis Example 14 
     A polymer (A-14) was synthesized by appropriately applying the synthesis method of Synthesis Example 3 described above except that the kind and amount of each of the components to be used were set as shown in Table 1. The polymer (A-14) had a 1,2-vinyl bond content of 55 mol%, a bound styrene content of 7%, and a Mooney viscosity (ML 1+4 , 100° C.) of 115. 
     6.3. Example 1 
     Preparation of Binder Composition 
     The polymer (A-1) obtained in Synthesis Example 1, and 400 ppm of IRGANOX 1520L and 200 ppm of Sumilizer TP-D serving as anti-aging agents were added into anisole serving as a liquid medium (B), and the mixture was stirred at 90° C. for 3 hours to dissolve the polymer (A-1) and the anti-aging agents in anisole. After that, the resultant binder composition was transferred to a three-necked flask, and while a reduced pressure of 100 Torr was maintained, bubbling with a dry nitrogen gas having a water vapor content of 25.0 mg/L or less was performed at 90° C. for 4 hours to prepare a binder composition having its residual moisture content reduced to 43 ppm. Then, the binder composition was filtered through a cartridge filter having a filter membrane having an average pore diameter of 3.00 µm (manufactured by ADVANTEC, all fluoropolymer cartridge filter, product name: “TCF-300-H5MF”) and filtered through a magnetic filter (manufactured by TOK Engineering Co., Ltd., magnetic flux density: 8,000 gauss), and then filled into a 1 L CLEANBARRIER (trademark) bottle (barrier container for an ultrahigh purity solvent) commercially available from Aicello Chemical Co., Ltd. The total solid content of the binder composition with respect to 100 mass% of the entirety thereof is 10.2%. This preparation work was performed in a dry room having a room temperature of 25° C., a cleanliness class of class 7 according to ISO 14644-1, and an interior dew point of -40° C. DP or less. 
     Preparation of Slurry for All-Solid-State Secondary Battery Positive Electrode 
     70 Parts by mass of LiCoO 2  (average particle diameter: 10 µm) serving as a positive electrode active material, 30 parts by mass of sulfide glass formed of Li 2 S and P 2 S 5  (Li 2 S/P 2 S 5 =75 mol%/25 mol%, average particle diameter: 5 µm) serving as a solid electrolyte, 2 parts by mass of acetylene black serving as a conductive aid, and the binder composition prepared in the foregoing in an amount corresponding to a solid content of 2 parts by mass were mixed, and anisole was further added as a liquid medium to adjust the solid content concentration to 75%, followed by mixing in a planetary centrifugal mixer (manufactured by Thinky Corporation, Awatori Rentaro ARV-310) for 10 minutes to prepare a slurry for an all-solid-state secondary battery positive electrode. 
     Preparation of Slurry for All-Solid-State Secondary Battery Solid Electrolyte Layer 
     100 Parts by mass of sulfide glass formed of Li 2 S and P 2 S 5  (Li 2 S/P 2 S 5 =75 mol%/25 mol%, average particle diameter: 5 µm) serving as a solid electrolyte and the binder composition prepared in the foregoing in an amount corresponding to a solid content of 2 parts by mass were mixed, and anisole was further added as a liquid medium to adjust the solid content concentration to 55%, followed by mixing in a planetary centrifugal mixer (manufactured by Thinky Corporation, Awatori Rentaro ARV-310) for 10 minutes to prepare a slurry for an all-solid-state secondary battery solid electrolyte layer. 
     Preparation of Slurry for All-Solid-State Secondary Battery Negative Electrode 
     65 Parts by mass of artificial graphite (average particle diameter: 20 µm) serving as a negative electrode active material, 35 parts by mass of sulfide glass formed of Li 2 S and P 2 S 5  (Li 2 S/P 2 S 5 =75 mol%/25 mol%, average particle diameter: 5 µm) serving as a solid electrolyte, and the binder composition prepared in the foregoing in an amount corresponding to a solid content of 2 parts by mass were mixed, and anisole was further added as a liquid medium to adjust the solid content concentration to 65%, followed by mixing in a planetary centrifugal mixer (manufactured by Thinky Corporation, Awatori Rentaro ARV-310) for 10 minutes to prepare a slurry for an all-solid-state secondary battery negative electrode. 
     Evaluation of Slurry Stability 
     The slurry for an all-solid-state secondary battery solid electrolyte layer obtained in the foregoing was measured for its viscosity at 25° C. with a B-type viscometer (manufactured by Toki Sangyo Co., Ltd.) at 50 rpm within 5 minutes after its preparation, and the viscosity was represented by η 0 . The slurry for an all-solid-state secondary battery solid electrolyte layer was stored in a thermostatic chamber at 25° C. for 48 hours, and after the storage, its viscosity η 1  was measured with the B-type viscometer at 50 rpm. This measurement was also performed at a temperature of 25° C. A viscosity change ratio Δη (%)=(η 1 /η 0 )×100 was calculated, and evaluation was performed by the following criteria. A slurry having a smaller viscosity change ratio Δη is more excellent in slurry stability. 
     Evaluation Criteria 
     
         
         AA: The Δη is 80% or more and less than 120%. 
         A : The Δη is 70% or more and less than 80% or 120% or more and less than 130%. 
         B : The Δη is 60% or more and less than 70% or 130% or more and less than 140%. 
         C : The Δη is less than 60% or 140% or more. 
       
    
     Production of Positive and Negative Electrodes, and Solid Electrolyte Layer 
     The slurry for an all-solid-state secondary battery positive electrode prepared in the foregoing was applied onto aluminum foil by a doctor blade method, and was dried over 3 hours by evaporating anisole under reduced pressure at 120° C., to thereby produce an all-solid-state secondary battery positive electrode having formed thereon a positive electrode active material layer having a thickness of 0.1 mm. 
     The slurry for an all-solid-state secondary battery solid electrolyte prepared in the foregoing was applied onto a release PET film by the doctor blade method, and was dried over 3 hours by evaporating anisole under reduced pressure at 120° C., to thereby produce a solid electrolyte layer having a thickness of 0.1 mm. 
     The slurry for an all-solid-state secondary battery negative electrode prepared in the foregoing was applied onto stainless-steel foil by the doctor blade method, and was dried over 3 hours by evaporating anisole under reduced pressure at 120° C., to thereby produce an all-solid-state secondary battery negative electrode having formed thereon a negative electrode active material layer having a thickness of 0.1 mm. 
     Peeling Strength Test of All-Solid-State Secondary Battery Positive Electrode 
     With regard to the positive electrode active material layer formed on the aluminum foil of the all-solid-state secondary battery positive electrode obtained in the foregoing, a tape having a width of 20 mm was stuck on the positive electrode active material layer, and peeling strength at the time of the peeling thereof under the conditions of a peel angle of 90° and a peel speed of 50 mm/min was measured. Evaluation criteria are as described below. The result is shown in Table 1. 
     Evaluation Criteria 
     
         
         AA: The peeling strength is 20 N/m or more. 
         A : The peeling strength is 10 N/m or more and less than 20 N/m. 
         B : The peeling strength is 5 N/m or more and less than 10 N/m. 
         C : The peeling strength is less than 5 N/m. 
       
    
     Flexibility Test of All-Solid-State Secondary Battery Positive Electrode 
     The aluminum foil side of a positive electrode test piece was placed along a metal rod having a diameter of 1.0 mm and wound around the metal rod, and whether or not the positive electrode active material layer was cracked and whether or not the wound end part was damaged were evaluated. Evaluation criteria are as described below. The result is shown in Table 1. A case in which damage to the positive electrode active material layer is not found indicates that the flexibility of the test piece is high and the process suitability for assembling an all-solid-state secondary battery is satisfactory. 
     Evaluation Criteria 
     
         
         A: There is no crack in the positive electrode active material layer, and there is no damage to the wound end part. 
         B: There is no crack in the positive electrode active material layer, and there is damage to the wound end part. 
         C: There is a crack in the positive electrode active material layer. 
       
    
     Lithium Ion Conductivity Measurement of Solid Electrolyte Layer 
     The solid electrolyte layer peeled from the PET film was sandwiched in a cell formed of two flat plates made of stainless steel, measurement was performed using an impedance analyzer, and lithium ion conductivity was calculated from a Nyquist plot. Evaluation criteria are as described below. The result is shown in Table 1. Higher lithium ion conductivity indicates that an all-solid-state secondary battery having more satisfactory battery performance can be obtained. 
     Evaluation Criteria 
     
         
         AA: The lithium ion conductivity is 0.8×10 -4  S/cm or more and 1.0×10 -4  S/cm or less. 
         A: The lithium ion conductivity is 0.5×10 -4  S/cm or more and less than 0.8×10 -4  S/cm. 
         B: The lithium ion conductivity is 0.2×10 -4  S/cm or more and less than 0.5×10 -4  S/cm. 
         C: The lithium ion conductivity is less than 0.2×10 -4  S/cm. 
       
    
     Production of All-Solid-State Secondary Battery 
     The all-solid-state secondary battery positive electrode produced in the foregoing was cut into a disc shape having a diameter of 13 mm, and the all-solid-state secondary battery negative electrode and the solid electrolyte layer peeled from the PET film were each cut into a disc shape having a diameter of 15 mm. Next, the cut all-solid-state secondary battery positive electrode was bonded to one surface of the cut solid electrolyte layer so that the surface of the positive electrode active material layer of the all-solid-state secondary battery positive electrode was brought into contact with the solid electrolyte layer. The cut all-solid-state secondary battery negative electrode was bonded to the other surface of the cut solid electrolyte layer so that the surface of the negative electrode active material layer of the all-solid-state secondary battery negative electrode was brought into contact with the solid electrolyte layer, and the resultant was pressurized (600 MPa, 1 minute) while being heated (120° C.) through use of a heat press machine to produce a laminate for an all-solid-state secondary battery having the following laminated structure: aluminum foil/positive electrode active material layer/solid electrolyte layer/negative electrode active material layer/stainless-steel foil. Then, the thus produced laminate for an all-solid-state secondary battery was placed in a 2032-type coin case made of stainless steel having incorporated thereinto a spacer and a washer, and the 2032-type coin case was crimped to produce an all-solid-state secondary battery. 
     Cycle Life Characteristic (Capacity Retention Ratio) 
     A charge-discharge test was performed using the all-solid-state secondary battery produced in the foregoing under an environment of 30° C. For charge and discharge, measurement was performed at a 0.1 C rate in the potential range of from 4.2 V to 3.0 V. The charge and discharge at the 0.1 C rate were repeated, and a capacity retention ratio after 20 cycles was calculated by the following equation, with the discharge capacity in the 1st cycle being represented by A (mAh/g) and the discharge capacity in the 20th cycle being represented by B (mAh/g). Evaluation criteria are as described below. The results are shown in Table 1. Capacity retention ratio (%) after 20 cycles=(B/A)×100 
     “C” in “C rate” represents a time rate, and is defined as (1/X)C=rated capacity (Ah)/X (h). X represents a period of time for charging or discharging the rated capacity amount of electricity. For example, 0.1 C means that a current value is the rated capacity (Ah)/10 (h). 
     Evaluation Criteria 
     
         
         AA: The capacity retention ratio is 95% or more and 100% or less. 
         A: The capacity retention ratio is 90% or more and less than 95%. 
         B: The capacity retention ratio is 85% or more and less than 90%. 
         C: The capacity retention ratio is less than 85%. 
       
    
     6.4. Examples 2 to 10 and Comparative Examples 1 to 4 
     In the same manner as in Example 1 described above except for using polymers shown in Table 1, binder compositions for all-solid-state secondary batteries were obtained, and slurries for all-solid-state secondary batteries, all-solid-state secondary battery electrodes, and all-solid-state secondary batteries were produced. Evaluations were performed in the same manner as in Example 1 described above. The respective results are shown in Table 1. 
     6.5. Evaluation Results 
     In Table 1 below, the compositions of the polymers used in Examples 1 to 10 and Comparative Examples 1 to 4, and the respective physical properties and the respective evaluation results are summarized.  
     
       
         
          TABLE 1
           
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
             
               
                 Example No. 
                 Example 1 
                 Example 2 
                 Example 3 
                 Example 4 
                 Example 5 
                 Example 6 
                 Example 7 
                 Example 8 
                 Example 9 
                 Example 10 
                 Comparati ve Example 1 
                 Comparati ve Example 2 
                 Comparati ve Example 3 
                 Comparati ve Example 4 
               
             
            
               
                 Polymer raw material (use amount) 
                 Synthesis Example No. 
                 Synthesi s Example 1 
                 Synthesi s Example 2 
                 Synthesi s Example 3 
                 Synthesi s Example 4 
                 Synthesi s Example 5 
                 Synthesi s Example 6 
                 Synthesi s Example 7 
                 Synthesi s Example 8 
                 Synthesi s Example 9 
                 Synthesi s Example 10 
                 Synthesis Example 11 
                 Synthesis Example 12 
                 Synthesis Example 13 
                 Synthesis Example 14 
               
               
                   
                 Polymerizat ion solvent (kg) 
                 Cyclohexane 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
                 25 
               
               
                 Polymerizat ion initiator (mmol) 
                 n-Butyllithium 
                 51.5 
                 51.5 
                 51.5 
                 51.5 
                 51.5 
                 39 
                 27 
                 70 
                 60 
                 23.5 
                 23.5 
                 77 
                 16.8 
                 16.8 
               
               
                 Piperidine 
                   
                   
                   
                   
                   
                 37.2 
                 25.2 
                   
                   
                   
                   
                   
                 15 
                 15 
               
               
                 N-Trimethylsilylpiper azine 
                   
                   
                   
                   
                   
                   
                   
                 54.2 
                   
                   
                   
                 60 
                   
                   
               
               
                 Vinyl control agent (g) 
                 Tetrahydrofuran 
                 500 
                 500 
                 500 
                 800 
                 500 
                 810 
                 750 
                 500 
                 200 
                 200 
                 200 
                 500 
                 800 
                 750 
               
               
                 Monomer (g) 
                 1,3-Butadiene 
                 4,000 
                 4,000 
                 3,900/10 0 
                 3,900/10 0 
                 3,750/10 0 
                 3,650 
                 3,550 
                 4,500 
                   
                 3,550 
                 3,550 
                 3,650 
                 3,400 
                 4,650 
               
               
                 Isoprene 
                   
                   
                   
                   
                   
                   
                   
                   
                 3,800 
                   
                   
                   
                   
                   
               
               
                 Styrene 
                 980/20 
                 950/50 
                 1,000 
                 1,000 
                 1,150 
                 1,350 
                 1,450 
                 500 
                 1,200 
                 1,450 
                 1,450 
                 1,350 
                 1,600 
                 350 
               
               
                 Divinylbenzene 
                 0.55 
                 0.55 
                 0.55 
                   
                 0.55 
                   
                   
                   
                   
                   
                   
                   
                   
                   
               
               
                 Modifier (mmol) 
                 BTADS 
                 43.8 
                 43.8 
                 43.8 
                   
                 36.5 
                   
                   
                 54.2 
                   
                   
                   
                 60 
                   
                   
               
               
                 TMADS 
                   
                   
                   
                   
                   
                 37.2 
                 22 
                   
                   
                   
                   
                   
                 14.8 
                 14.8 
               
               
                 Dichlorodimethylsilan e 
                   
                   
                   
                   
                   
                   
                   
                   
                 30 
                   
                   
                   
                   
                   
               
               
                 Tin tetrachloride 
                 2.1 
                 2.1 
                 2.1 
                 10 
                   
                   
                 0.8 
                   
                   
                   
                   
                   
                 0.5 
                 0.5 
               
               
                 Anti-aging agent (g) 
                 BHT 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
                 15 
               
               
                 Polymer 
                 Kind 
                 A-1 
                 A-2 
                 A-3 
                 A-4 
                 A-5 
                 A-6 
                 A-7 
                 A-8 
                 A-9 
                 A-10 
                 A-11 
                 A-12 
                 A-13 
                 A-14 
               
               
                 1,2-Vinyl bond content (mol%) 
                 55 
                 55 
                 55 
                 62 
                 57 
                 58 
                 57 
                 56 
                 20 
                 44 
                 42 
                 56 
                 57 
                 55 
               
               
                 Bound styrene content (%) 
                 20 
                 20 
                 20 
                 20 
                 23 
                 27 
                 29 
                 10 
                 24 
                 29 
                 29 
                 27.1 
                 32 
                 7 
               
               
                   
                 Moisture content (ppm) 
                 5,500 
                 4,300 
                 4,900 
                 6,000 
                 5,100 
                 5,700 
                 4,800 
                 5,100 
                 5,700 
                 5,400 
                 6,600 
                 5,900 
                 4,500 
                 5,200 
               
               
                 Cyclohexane content (ppm) 
                 45 
                 50 
                 15 
                 40 
                 35 
                 20 
                 10 
                 30 
                 50 
                 35 
                 25 
                 30 
                 40 
                 20 
               
               
                 Weight average molecular weight (Mw) 
                 302,000 
                 305,000 
                 308,000 
                 653,000 
                 203,000 
                 457,000 
                 551,000 
                 125,000 
                 209,000 
                 405,000 
                 412,000 
                 98,000 
                 582,000 
                 595,000 
               
               
                 Hydrogenation ratio (mol%) 
                 16 
                 30 
                 0 
                 0 
                 61 
                 14 
                 0 
                 0 
                 0 
                 31 
                 95 
                 0 
                 0 
                 0 
               
               
                 Mooney viscosity (ML 1+4 , 100° C.) 
                 35 
                 52 
                 45 
                 74 
                 41 
                 47 
                 93 
                 10 
                 15 
                 75 
                 66 
                 9 
                 110 
                 115 
               
               
                 Binder compositio n 
                 Liquid medium (B) 
                 Anisole 
                 Mesityle ne 
                 Toluene 
                 DIBK 
                 Anisole 
                 DIBK 
                 Mesityle ne 
                 Toluene 
                 Anisole 
                 Anisole 
                 Anisole 
                 DIBK 
                 Mesitylen e 
                 Mesitylen e 
               
               
                 Additionall y added anti-aging agent (loading amount, ppm) 
                 IRGANOX 1520L 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
                 400 
               
               
                 Sumilizer TP-D 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
                 200 
               
               
                 Moisture content (ppm) 
                 43 
                 51 
                 65 
                 42 
                 50 
                 66 
                 53 
                 47 
                 49 
                 51 
                 55 
                 64 
                 57 
                 67 
               
               
                 Metal element amount (Cu: ppm) 
                 Undetect ed 
                 Undetect ed 
                 Undetect ed 
                 Undetect ed 
                 Undetect ed 
                 Undetect ed 
                 Undetect ed 
                 Undetect ed 
                 Undetect ed 
                 Undetect ed 
                 Undetecte d 
                 Undetecte d 
                 Undetecte d 
                 Undetecte d 
               
               
                 Total solid content (%) 
                 10.2 
                 10.1 
                 10.1 
                 10.3 
                 10.1 
                 10.2 
                 10.1 
                 10.1 
                 10.1 
                 10.2 
                 10.1 
                 10.2 
                 10.1 
                 10.1 
               
               
                 Slurry characterist ics 
                 Slurry stability 
                 AA 
                 AA 
                 AA 
                 AA 
                 AA 
                 AA 
                 A 
                 A 
                 A 
                 A 
                 C 
                 C 
                 B 
                 C 
               
               
                 Electrode characterist ics 
                 Peeling strength test 
                 AA 
                 AA 
                 AA 
                 AA 
                 AA 
                 AA 
                 A 
                 A 
                 A 
                 A 
                 C 
                 B 
                 A 
                 A 
               
               
                 Flexibility test 
                 A 
                 A 
                 A 
                 A 
                 A 
                 A 
                 A 
                 A 
                 A 
                 A 
                 B 
                 B 
                 C 
                 C 
               
               
                 Electrical storage device characterist ics 
                 Lithium ion conductivity 
                 AA 
                 AA 
                 AA 
                 AA 
                 AA 
                 AA 
                 A 
                 A 
                 A 
                 A 
                 C 
                 B 
                 B 
                 B 
               
               
                 Cycle life characteristic (capacity retention ratio) 
                 AA 
                 AA 
                 AA 
                 AA 
                 AA 
                 AA 
                 A 
                 A 
                 A 
                 A 
                 C 
                 B 
                 B 
                 C 
               
            
           
         
       
     
     The abbreviations or the product names in Table 1 above represent the following compounds, respectively. 
     &lt;Modifier&gt;
     •BTADS: N,N-bis(trimethylsilyl)aminopropylmethyldiethoxysilane   •TMADS: N-trimethylsilyl-N-methylaminopropylmethyldiethoxysilane   

     &lt;Anti-aging Agent&gt; 
     •BHT: 2,6-di-tert-butyl-p-cresol   •IRGANOX 1520L: 2-methyl-4,6-bis[(n-octylthio)methyl]phenol   •Sumilizer TP-D: pentaerythritol tetra(3-dodecylthiopropionate)   

     Liquid Medium 
     •DIBK: diisobutyl ketone 
     It was recognized from the results of Table 1 that, when the binders of Example 1 to Example 10 and the binder compositions containing the binders were used, all-solid-state secondary batteries excellent in lithium ion conductivity and capable of achieving a satisfactory cycle life characteristic even under a high voltage were able to be produced. 
     In addition, in each of Example 1 to Example 10, a slurry obtained by incorporating an active material and a solid electrolyte into the binder composition for an all-solid-state secondary battery is used as each of the slurries for all-solid-state secondary battery electrodes. In addition, it was recognized that, in the active material layer formed from the slurry, sufficient binding properties were obtained for the polymer between both the active material and the solid electrolyte with no occurrence of detachment, cracks, or the like of the active material and the solid electrolyte due to the active material layer itself becoming brittle at the time of the measurement of the peeling strength. Accordingly, it is presumed that: the active material layer to be formed by using the binder composition for an all-solid-state secondary battery according to the present invention obtains sufficient adhesiveness to the solid electrolyte layer; high workability is obtained even when the solid electrolyte layer is formed by using the binder composition for an all-solid-state secondary battery according to the present invention; and the solid electrolyte thus formed obtains sufficient adhesiveness to the active material layer. 
     The present invention is not limited to the embodiments described above, and various modifications may be made thereto. The present invention encompasses substantially the same configurations as the configurations described in the embodiments (e.g., configurations having the same functions, methods, and results, or configurations having the same objects and effects). The present invention also encompasses configurations obtained by replacing non-essential parts of the configurations described in the embodiments with other configurations. The present invention also encompasses configurations exhibiting the same actions and effects or configurations capable of achieving the same objects as those of the configurations described in the embodiments. The present invention also encompasses configurations obtained by adding known technologies to the configurations described in the embodiments.