Polymer composition for lithium secondary battery, electrode for lithium secondary battery including the same, and lithium secondary battery including the electrode

1. A polymer binder for lithium battery comprising

a first repeating unit represented by Formula 1,

a second repeating unit selected from a divalent aliphatic organic group repeating unit and a divalent alicyclic organic group repeating unit, and

a third repeating unit represented by Formula 4a or Formula 4b:

wherein, in Formula 1,

R and R′ are each independently a hydrogen atom, a substituted or unsubstituted C1-C30 alkyl group, a substituted or unsubstituted C1-C30 alkoxy group, a substituted or unsubstituted C2-C30 alkenyl group, a substituted or unsubstituted C2-C30 alkynyl group, a substituted or unsubstituted C6-C30 aryl group, a substituted or unsubstituted C6-C30 aryloxy group, a substituted or unsubstituted C7-C30 arylalkyl group, a substituted or unsubstituted C2-C30 heteroaryl group, a substituted or unsubstituted C2-C30 heteroaryloxy group, a substituted or unsubstituted C3-C30 heteroarylalkyl group, a substituted or unsubstituted C4-C30 carbocyclic group, a substituted or unsubstituted C5-C30 carbocyclic alkyl group, a substituted or unsubstituted C2-C30 heterocyclic group, or a substituted or unsubstituted C3-C30 heterocyclic alkyl group;

A and A′ are each independently —C(═O)O—, —C(═O)—, —OS(═O) 2 O—, —S(═O) 2 O—, —S(═O)O—, —OP(═O)O 2 —, or —P(═O)O 2 —; and

Y and Y′ are each independently a hydrogen atom, an alkali metal, an ammonium group, or —NH 2 , provided that Y and Y′ are not simultaneously hydrogen atoms or —NH 2 ,

wherein, in Formulae 4a and 4b,

R 1 and R 2 are each independently a hydrogen atom, a substituted or unsubstituted C1-C30 alkyl group, a substituted or unsubstituted C1-C30 alkoxy group, a substituted or unsubstituted C2-C30 alkenyl group, a substituted or unsubstituted C2-C30 alkynyl group, a substituted or unsubstituted C6-C30 aryl group, a substituted or unsubstituted C6-C30 aryloxy group, a substituted or unsubstituted C7-C30 arylalkyl group, a substituted or unsubstituted C2-C30 heteroaryl group, a substituted or unsubstituted C2-C30 heteroaryloxy group, a substituted or unsubstituted C3-C30 heteroarylalkyl group, a substituted or unsubstituted C4-C30 carbocyclic group, a substituted or unsubstituted C5-C30 carbocyclic alkyl group, a substituted or unsubstituted C2-C30 heterocyclic group, or a substituted or unsubstituted C3-C30 heterocyclic alkyl group.

2. The polymer binder of claim 1 , wherein the first repeating unit is represented by Formula 2 or Formula 2a:

wherein, in Formulae 2 and 2a,

R 1 and R 2 are each independently a hydrogen atom, a substituted or unsubstituted C1-C30 alkyl group, a substituted or unsubstituted C1-C30 alkoxy group, a substituted or unsubstituted C2-C30 alkenyl group, a substituted or unsubstituted C2-C30 alkynyl group, a substituted or unsubstituted C6-C30 aryl group, a substituted or unsubstituted C6-C30 aryloxy group, a substituted or unsubstituted C7-C30 arylalkyl group, a substituted or unsubstituted C2-C30 heteroaryl group, a substituted or unsubstituted C2-C30 heteroaryloxy group, a substituted or unsubstituted C3-C30 heteroarylalkyl group, a substituted or unsubstituted C4-C30 carbocyclic group, a substituted or unsubstituted C5-C30 carbocyclic alkyl group, a substituted or unsubstituted C2-C30 heterocyclic group, or a substituted or unsubstituted C3-C30 heterocyclic alkyl group; and

Y 1 and Y 2 are each independently a hydrogen atom, an alkali metal, an ammonium group, or —NH 2 , provided that Y 1 and Y 2 are not simultaneously hydrogen atoms or —NH 2 .

3. The polymer binder of claim 1 , wherein

the divalent aliphatic organic group repeating unit is a substituted or unsubstituted C1-C30 alkylene group or a substituted or unsubstituted C2-C30 alkynylene group; and

the divalent alicyclic organic group repeating unit is a substituted or unsubstituted C3-C30 cycloalkylene group.

4. The polymer binder of claim 1 , wherein the polymer further comprises a second repeating unit represented by Formula 3:

wherein, in Formula 3,

R 3 to R 6 are each independently a hydrogen atom, a substituted or unsubstituted C1-C30 alkyl group, a substituted or unsubstituted C1-C30 alkoxy group, a substituted or unsubstituted C2-C30 alkenyl group, a substituted or unsubstituted C2-C30 alkynyl group, a substituted or unsubstituted C6-C30 aryl group, a substituted or unsubstituted C6-C30 aryloxy group, a substituted or unsubstituted C7-C30 arylalkyl group, a substituted or unsubstituted C2-C30 heteroaryl group, a substituted or unsubstituted C2-C30 heteroaryloxy group, a substituted or unsubstituted C3-C30 heteroarylalkyl group, a substituted or unsubstituted C4-C30 carbocyclic group, a substituted or unsubstituted C5-C30 carbocyclic alkyl group, a substituted or unsubstituted C2-C30 heterocyclic group, a substituted or unsubstituted C3-C30 heterocyclic alkyl group, or

R 3 and R 4 , or R 5 and R 6 are independently linked together to form a ring, wherein the ring is a C6-C10 cycloalkyl group, a C3-C10 heteroaryl group, a fused C3-C10 heteroaryl group, a C3-C10 heterocyclic group, or a fused C3-C10 heterocyclic group.

5. The polymer binder of claim 1 , wherein the alkali metal is Li, Na, or K, and the ammonium group is NH 4 .

6. The polymer binder of claim 1 , wherein the polymer comprises a first repeating unit represented by Formula 4 or 4g, a second repeating unit represented by Formula 5, and a third repeating unit represented by Formula 4a or 4b:

wherein, in Formulae 4 and 4g,

R 7 and R 8 are each independently a hydrogen atom, or a C1-C10 alkyl group; and

Y 3 and Y 4 are each independently a hydrogen atom, Li, Na, K, or NH 4 , provided that Y 3 and Y 4 are not simultaneously hydrogen atoms,

wherein, in Formula 5,

R 9 to R 12 are each independently a hydrogen atom or a C1-C10 alkyl group, and

wherein, in Formulae 4a and 4b

R 1 and R 2 are each independently a hydrogen atom, a substituted or unsubstituted C1-C30 alkyl group, a substituted or unsubstituted C1-C30 alkoxy group, a substituted or unsubstituted C2-C30 alkenyl group, a substituted or unsubstituted C2-C30 alkynyl group, a substituted or unsubstituted C6-C30 aryl group, a substituted or unsubstituted C6-C30 aryloxy group, a substituted or unsubstituted C7-C30 arylalkyl group, a substituted or unsubstituted C2-C30 heteroaryl group, a substituted or unsubstituted C2-C30 heteroaryloxy group, a substituted or unsubstituted C3-C30 heteroarylalkyl group, a substituted or unsubstituted C4-C30 carbocyclic group, a substituted or unsubstituted C5-C30 carbocyclic alkyl group, a substituted or unsubstituted C2-C30 heterocyclic group, or a substituted or unsubstituted C3-C30 heterocyclic alkyl group.

7. The polymer binder of claim 1 , wherein the polymer comprises a first repeating unit represented by Formula 6 or 6a, a second repeating unit represented by Formula 7, and a third repeating unit represented by Formula 4e or 4h:

wherein, in Formulae 6 and 6a,

Y 5 and Y 6 are each independently a hydrogen atom, Li, Na, K, or NH 4 , provided that Y 5 and Y 6 are not simultaneously hydrogen atoms or —NH 2 ;

wherein, the polymer has a degree of polymerization of from about 100 to about 50,000.

8. The polymer binder of claim 1 , wherein the polymer is represented by Formula 8 or 8z:

wherein, in Formulae 8 and 8z,

i) Y 7 and Y 8 are both lithium, or ii) one of Y 7 and Y 8 is lithium, and the rest is a hydrogen atom,

a is a mole fraction of 0 or from 0.01 to 0.99, b is a mole fraction of 1 or from 0.01 to 0.99, and a+b=1,

m and n are each a mole fraction from 0.01 to 0.99, and m+n=1.

9. The polymer binder of claim 1 , wherein, in Formulae 8 and 8z, a is 0, b is 1, and Y 7 and Y 8 are both lithium.

10. The polymer binder of claim 1 , wherein a substitution degree of the polymer with the alkali metal or ammonium group is from about 0.2 to about 1.0.

11. The polymer binder of claim 1 , wherein the polymer exhibits two proton peaks from at least one of maleic anhydride and maleic acid in a polymer chain in a chemical shift range of from 2.65 part per million to 2.75 part per million and from 2.2 part per million to 2.4 part per million in a 1 H nuclear magnetic resonance spectrum.

12. The polymer binder of claim 1 , wherein the polymer has a weight average molecular weight of from about 50,000 to about 500,000.

13. The polymer binder of claim 1 , wherein a lithium content in the polymer is from about 2 wt % to about 15 wt %.

14. An electrode for a lithium battery, comprising:

a polymer comprising a first repeating unit represented by Formula 1, a second repeating unit selected from a divalent aliphatic organic group repeating unit and a divalent alicyclic organic group repeating unit, and a third repeating unit represented by Formula 4a or Formula 4b; and

an electrode active material,

wherein, in Formula 1,

R and R′ are each independently a hydrogen atom, a substituted or unsubstituted C1-C30 alkyl group, a substituted or unsubstituted C1-C30 alkoxy group, a substituted or unsubstituted C2-C30 alkenyl group, a substituted or unsubstituted C2-C30 alkynyl group, a substituted or unsubstituted C6-C30 aryl group, a substituted or unsubstituted C6-C30 aryloxy group, a substituted or unsubstituted C7-C30 arylalkyl group, a substituted or unsubstituted C2-C30 heteroaryl group, a substituted or unsubstituted C2-C30 heteroaryloxy group, a substituted or unsubstituted C3-C30 heteroarylalkyl group, a substituted or unsubstituted C4-C30 carbocyclic group, a substituted or unsubstituted C5-C30 carbocyclic alkyl group, a substituted or unsubstituted C2-C30 heterocyclic group, or a substituted or unsubstituted C3-C30 heterocyclic alkyl group;

A and A′ are each independently —C(═O)O—, —C(═O)—, —OS(═O) 2 O—, —S(═O) 2 O—, —S(═O)O—, —OP(═O)O 2 —, or —P(═O)O 2 —; and

Y and Y′ are each independently a hydrogen atom, an alkali metal, an ammonium group, or —NH 2 , provided that Y and Y′ are not simultaneously hydrogen atoms or —NH 2 ;

wherein, in Formulae 4a and 4b,

R 1 and R are each independently a hydrogen atom a substituted or unsubstituted C1-C30 alkyl group, a substituted or unsubstituted C1-C30 alkoxy group, a substituted or unsubstituted C2-C30 alkenyl group, a substituted or unsubstituted C2-C30 alkynyl group, a substituted or unsubstituted C6-C30 aryl group, a substituted or unsubstituted C6-C30 aryloxy group, a substituted or unsubstituted C7-C30 arylalkyl group, a substituted or unsubstituted C2-C30 heteroaryl group, a substituted or unsubstituted C2-C30 heteroaryloxy group, a substituted or unsubstituted C3-C30 heteroarylalkyl group, a substituted or unsubstituted C4-C30 carbocyclic group, a substituted or unsubstituted C5-C30 carbocyclic alkyl group, a substituted or unsubstituted C2-C30 heterocyclic group, or a substituted or unsubstituted C3-C30 heterocyclic alkyl group.

15. The electrode of claim 14 , wherein an amount of the polymer is from about 1 part to about 30 parts by weight based on 100 parts by weight of the electrode active material.

16. A lithium battery comprising the electrode of claim 14 .

17. A polymer binder for lithium battery, which is a reaction product of

(i) an alkali metal- or ammonium group-containing base and

(ii) a polymer A comprising a first repeating unit represented by Formula 4c or Formula 4d, and a second repeating unit selected from a divalent aliphatic organic group repeating unit and a divalent alicyclic organic group repeating unit:

wherein, in Formula 4c, R 7 and R 8 are each independently a hydrogen atom or a C1-C10 alkyl group;

wherein, in Formula 4d,

R 7 and R 8 are each independently a hydrogen atom or a C1-C10 alkyl group; and

a mole fraction of the first repeating unit is from about 0.01 to about 0.99,

and a mole fraction of the second repeating unit is from about 0.01 to about 0.99.

18. The polymer binder of claim 17 , wherein the second repeating unit is represented by Formula 5:

wherein, in Formula 5, R 9 to R 12 are each independently a hydrogen atom or a C1-C10 alkyl group; and

the polymer has a degree of polymerization of from about 100 to about 50,000.

19. The polymer binder of claim 17 , wherein the alkali metal-containing base is at least one selected from lithium hydroxide, sodium hydroxide, potassium hydroxide, and ammonium hydroxide.

20. The polymer binder of claim 17 , wherein the reaction product is a reaction product of a mixture at a temperature of from about 20° C. to about 100° C., the mixture comprising the polymer comprising the first repeating unit represented by Formula 4c or Formula 4d and the second repeating unit selected from a divalent aliphatic organic group repeating unit and a divalent alicyclic organic group repeating unit, the alkali metal- or ammonium group-containing base, and water.