TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Property: The derivative is converted from physical or chemical binding material to cross-linked material of the carbon material. Preferred Groups: One or more of ionic dissociative group is acidic functional group. The ionic dissociative group is -SO3M, -PO(OM)2, -SO2NMSO2-, -SO2NM2, -COOM, =CPO(OM)2, and/or =C(SO3M)2, where M is cation. The functional group is -A-SO3M, -A-PO(OM)2, -A-SO2NMSO2-R0O, -A-SO2NM2 and/or -A-COOM, where A is -O-, -R-, -O-R-, -R-O-, -O-R-O, or -R-O-R'-, R and R' are alkyl or fluorinated alkyl, preferably CxHy or CxFyHz, R0 is -CF3 or -CH3, x is 1-20, y is 1-40 and z is 0-39. The basic group of the polymer is amino, pyrrolidone, pyridine, imidizole, pyrimidine, piperazine, pyrrole, pyrrolidine, pyrazole, benzimidazole, phenyl imidazole and/or pyrazine group. Preferred Composition: The molar ratio of the basic group of the polymer with respect to the ionic dissociative group is 20 or less.    TECHNOLOGY FOCUS - POLYMERS - Preferred Polymer: The polymer of material having basic group is polymer of compound containing nitrogen, oxygen and/or sulfur atom, preferably polymer containing one or more types of structural unit chosen from -NH2, -NH-, -N=, tert. amine, -O-, and -S-. The polymer of nitrogen atom-containing compound is a polymer of heterocyclic compound. Alternately, the polymer is a polymer having pyridine, imidazole, pyrrole, piperazine, pyrrolidine, pyrazole, benzimidazole, phenyl imidazole pyrazine, vinyl imidazole, oxazole, isoxazole, thiazole, isothiazole, furan and/or thiophene group or polymer having structure of its derivatives. Preferred Method: The derivative and the polymer are individually dissolved in a solvent to obtain homogeneous solution. The obtained homogeneous solutions are mixed and the insoluble material is collected from the solution, to obtain the ion conductor. Alternately, the derivative and monomer of the material having the basic group are mixed and polymerized to obtain ion conductor containing the derivative and the polymer of the material having basic group. EXAMPLE - Vinyl imidazole and methano phosphoric acid fullerene are mixed, heated and polymerized at 100degreesC for 16 hours to obtain ion conductor. The mixing ratio of vinyl imidazole and phosphoric acid group was 3:1 and 9:1. The ion conductor had excellent ionic conductivity.