NOVELTY - An ion conductor structural body contains a polymer matrix, a solvent capable of functioning as a plasticizer, and an electrolyte. The polymer matrix comprises a polymer chain having a specified segment. A main chain portion of the polymer chain and a side chain portion of the segment have an orientation property, and the polymer matrix has a crosslinked structure.    USE - The inventive ion conductor structural body is used for rechargeable battery (claimed) for electric vehicles. The rechargeable battery is also used as a power source for portable instruments such as small personal computers, word processors, video cameras, or cellular phones.    ADVANTAGE - The inventive ion conductor structural body has a high ion conductivity and an excellent mechanical strength.    DETAILED DESCRIPTION - An ion conductor structural body having a high ion conductivity and an excellent mechanical strength, comprises a polymer matrix, a solvent capable of functioning as a plasticizer, and an electrolyte. The polymer matrix comprises a polymer chain having a segment of formula -(C(R1)H-(R2)C(A-R3))- (1). A main chain portion (101) of the polymer chain and a side chain portion (102) of the segment have an orientation property, and the polymer matrix has a crosslinked structure. The solvent is 1-20 in terms of a ratio of a weight of the solvent/a weight of the polymer matrix. A ratio between the polyether group (105) of A and the alkyl group (106) of R3 is 0.05-3 in terms of a ratio of a molecular weight of the alkyl group of R3/a molecular weight of the polyether group of A.    R1, R2=H or less than or equal to 2C alkyl group;    A=group having polyether group;    R3=group having more than 6C alkyl group.    INDEPENDENT CLAIMS are also included for:    (1) a process for producing the inventive ion conductor structural body, comprising mixing a monomer of formula C(R1)H=(R2)C(A-R3) (3), a solvent, and an electrolyte; and subjecting the mixture to a polymerization treatment by a polymerization reaction to form a polymer matrix as the ion conductor structural body; and    (2) a rechargeable battery comprising an anode having a face, a cathode having a face opposite the face of the anode, and the ion conductor structural body provided between the anode and the cathode; and    (3) a process for producing a rechargeable battery, comprising arranging the ion conductor structural body such that an ion conductivity in a direction of connecting the face of the anode and the face of the cathode is increased.    R1-R3, A, R3 =as defined above.    DESCRIPTION OF DRAWING(S) - The figure is a schematic view for explaining of a polymer structure in an ion conductor structural body of the invention.    Main chain portion (101)    Side chain portion (102)    Ion conducting path (104)    Polyether group (105)    Alkyl group (106)