NOVELTY - An ion conductor structural body (401) comprises a polymer matrix, which comprises a polymer chain having a polyether group containing first segment and a polar group containing second segment, a main chain portion of the polymer chain and a side chain portion of the first segment having an orientation property. The polymer matrix has a cross-linked structure.    USE - Used in a rechargeable battery i.e. rechargeable lithium battery.    ADVANTAGE - The ion conductor structural body has a high ion conductivity and excellent mechanical strength (i.e. more than 1x105, preferably more than 2x105 Pa in terms of the young's modulus); provides a high performance rechargeable battery, which exhibits an improved charge-and-discharge efficiency, and has a high capacity and a prolonged charge-and-discharge cycle life; and is produced by a relatively simple manner at a reasonable production cost. The processing efficiency upon the production of the rechargeable battery is improved.    DETAILED DESCRIPTION - An ion conductor structural body comprises a polymer matrix; a solvent capable of functioning as a plasticizer; and an electrolyte. The polymer matrix comprises a polymer chain having a first segment of formula -(C(R1)H-(R2)C(A-R3))- (1) and a second segment of formula -(C(R4)H-(R5)C(B))- (2), a main chain portion of the polymer chain and a side chain portion of the first segment having an orientation property, and the polymer matrix has a cross-linked structure.    R1, R2, R4, R5=H or alkyl group of less than or equal to 2C atoms;    A=group having polyether group;    R3=group having alkyl group of greater than or equal to 6C atoms;    R3 (in formula (1))=straight chain alkyl group of 6-22C atoms or alkyl benzyl group having a straight chain alkyl group of 6-22C atoms, where molecular weight ratio of alkyl group of R3 to the polyether group of A is 0.05-3.0;and    B=group comprising a polar group consisting a polyether group, cyano group, amino group, amido group, or carbonate group.    An INDEPENDENT CLAIM is included for a process of producing an ion conductor structural body comprising mixing a monomer of formula R1-CH=C(R2)-A-R3 (3), a solvent, and an electrolyte to obtain a mixture, where weight ratio of the solvent to the polymer matrix is 1-20; and subjecting the mixture to a polymerization treatment by polymerization reaction to form a polymer matrix as the ion conductor structural body.    R3=straight chain alkyl group of 6-22C atoms or alkyl benzyl group having a straight chain alkyl group of 6-22C atoms.    DESCRIPTION OF DRAWING(S) - The figure is a schematic cross-sectional view illustrating the structure of a rechargeable battery.    Ion conductor structural body (401)    Anode collector (402)    Anode active material (403)    Anode (404)    Cathode (407)