Anion exchange polymers and membranes for electrolysis

An anion exchange polymer comprising a plurality of repeating units of formula (I)

• wherein Ar1 is selected from the group consisting of:
• and mixtures thereof,
• Ar2 is selected from the group consisting of:
• and mixtures thereof,
• wherein X1 is a mixture of
• or
• wherein X1 is a mixture of
• wherein F1−-F6−, Y1−, and Y2− are each independently anions;
• wherein R1-R28 are each independently hydrogen, a halide, an alkyl group, an alkenyl group, an alkynyl group, or an aryl group, and the alkyl, alkenyl, alkynyl, or aryl groups are optionally substituted with a halide or a positively charged functional group;
• wherein R29, R34, and R35 are each independently hydrogen, an alkyl group, an alkenyl group, an alkynyl group, or an aryl group, and the alkyl, alkenyl, alkynyl or aryl groups are optionally substituted with a halide or a positively charged functional group;
• wherein R36 is an alkyl group, an alkenyl group, an alkynyl group, or an aryl group, and the alkyl, alkenyl, alkynyl or aryl group is optionally substituted with a halide or a positively charged functional group;
• wherein R37-R52 are each independently an alkyl group, an alkenyl group, or an aryl group;
• wherein A is O, S, or NR100;
• wherein R100 is hydrogen, an alkyl group, an alkenyl group, an alkynyl group, or an aryl group, and the alkyl, alkenyl, alkynyl, or aryl groups are optionally substituted with a halide or a positively charged functional group;
• wherein m and n are independently integers from 5 to 500 and the molar ratio of n/m is in a range of 1:20 to 20:1;
• wherein p is 1, 2, 3, or 4;
• wherein q is 0, 1, 2, or 3;
• and
• wherein t, k1, and k2 are independently 1, 2, 3, 4, 5, or 6.