Polymer, crosslinked polymer, composition for solid polymer electrolyte, solid polymer electrolyte, and adhesive composition

1. A polymer comprising:

a block chain A which is formed from a random copolymer containing a repeating unit (I) represented by formula (I)

wherein R 1 to R 3 each independently represents hydrogen or C 1-10 hydrocarbon and R 1 and R 3 may bond to form a ring; R 4a and R 4b each independently represents hydrogen or methyl; R 5 represents hydrogen, hydrocarbon, acyl, or silyl; and m represents any integer of 1 to 100 and each R 4a may be the same or different from one another and each R 4b may be the same or different from one another when m is 2 or more; and a repeating unit (II) represented by the formula (II)

wherein R 6 and R 8 each independently represents hydrogen or C 1-10 hydrocarbon and R 6 and R 8 may bond to form a ring; R 7 represents hydrogen, C 1-10 hydrocarbon, hydroxyl, hydrocarbonoxy, carboxyl, acid anhydride, amino, ester, or an organic group having at least one functional group selected from the group consisting of hydroxyl, carboxyl, epoxy, acid anhydride, and amino; and R 9 represents an organic group having at least one functional group selected from the group consisting of hydroxyl, carboxyl, epoxy, acid anhydride, and amino; and

a block chain B having a repeating unit (III) represented by the formula (III)

wherein R 10 to R 12 each independently represents hydrogen or C 1-10 hydrocarbon and R 13 represents aryl or heteroaryl; and

wherein an arrangement order thereof is B, A, B.

2. The polymer according to claim 1 , wherein the block chain A and block chain B are bonded and arranged in the order of B-A-B.

3. The polymer according to claim 1 wherein the degree of polymerization of the repeating unit (I) is 5 or more.

4. The polymer according to claim 1 wherein the degree of polymerization of the repeating unit (II) is 5 or more.

5. The polymer according to claim 1 ,

wherein the block chain A is formed from a random copolymer where the ratio of the number of moles of the repeating unit (I) and repeating unit (II) are within the range of 50 to 95% and 50 to 5%, respectively with respect to the total number of moles of repeating units in the block chain A.

6. The polymer according to claim 1 ,

wherein the ratio of the number of moles of the repeating units (I) and (II) summed up together is within the range of 10 to 80% and the ratio of the number of moles of the repeating units (III) is 90 to 20%, respectively with respect to the total number of moles of repeating units in the polymer.

7. The polymer according to claim 1 ,

wherein the number average molecular weight of the polymer is within the range of 5000 to 1000000.

8. The polymer according to claim 1 ,

wherein the repeating unit (II) is at least one repeating unit selected from the group consisting of a repeating unit (IV) represented by the formula (IV)

wherein, R 14 to R 16 each independently represents hydrogen or C 1-10 hydrocarbon and R 14 and R 16 may bond to form a ring; R 17 represents C 1-6 alkylene, C 6-10 divalent aromatic hydrocarbon, C 3-10 divalent alicyclic hydrocarbon, or a divalent organic group in which these groups are combined; repeating unit (V) represented by the formula (V),

wherein R 18 to R 20 each independently represents hydrogen or C 1-10 hydrocarbon, and p represents any integer of 1 to 3; repeating unit (VI) represented by the formula (VI)

wherein R 21 to R 23 each independently represents hydrogen or C 1-10 hydrocarbon and R 21 and R 23 may bond to form a ring; R 24 represents C 1-6 alkylene, C 6-10 divalent aromatic hydrocarbon, C 3-10 divalent alicyclic hydrocarbon, or a divalent organic group in which these groups are combined; and R 25 represents hydrogen or C 1-4 alkyl, and repeating unit (VII) represented by the formula (VII)

wherein R 26 to R 28 each independently represents hydrogen or C 1-10 hydrocarbon and R 26 and R 28 may bond to form a ring; R 29 represents hydrogen or a functional group represented by the following formula (VIII)

—R 30 —CO 2 H  (VIII)

wherein R 30 represents C 1-6 alkylene, C 6-10 divalent aromatic hydrocarbon, C 3-10 divalent alicyclic hydrocarbon, or a divalent organic group in which these groups are combined.

9. A crosslinked polymer which is obtained by the reaction between the polymer according to claim 1 and a crosslinking agent.

10. The crosslinked polymer according to claim 9 , wherein the crosslinking agent is a polyisocyanate compound which has 2 or more isocyanate groups within a molecule or a polyepoxy compound which has 2 or more epoxy groups within the molecule.

11. The crosslinked polymer according to claim 9 which is obtained by reacting the polymer according to claim 1 with 0.01 to 2 moles of crosslinking agent with respect to 1 mole of the repeating unit (II) in the polymer.

12. A composition for a solid polymer electrolyte comprising:

the polymer according to claim 1 and

an electrolyte salt.

13. The composition for a solid polymer electrolyte according to claim 12 , further comprising a crosslinking agent.

14. A solid polymer electrolyte comprising:

the polymer according to claim 1 or the crosslinked polymer according to claim 9 ; and

an electrolyte salt.

15. An adhesive composition comprising:

the polymer according to claim 1 ; and a crosslinking agent.