Copolymer of allyl monomer containing polar group

1. A copolymer of polar group-containing allyl monomers, which is a copolymer containing only the monomer units represented by formulae (3-1) and (4)

in the formulae,

R 1-1 represents a hydrogen atom or methyl group;

R 2 represents

—OH,

—OCOR 3 (R 3 represents hydrocarbon group having 1 to 5 carbon atoms),

—N(R 4 ) 2 (R 4 represents

a hydrogen atom,

hydrocarbon group having 1 to 5 carbon atoms,

aromatic residue having 6 to 18 carbon atoms, or

—COOR10 (R 10 represents hydrocarbon group having 1 to 10 carbon atoms or aromatic residue having 6 to 10 carbon atoms),

and two R 4 s may be the same or different from each other),

or a halogen atom; and

n and m are a value representing the molar ratio of each of the monomer units;

(A) the main chain has one or less branch, which has two or more carbon atoms, per 1000 carbon atoms which constitute the main chain; and

(B) the main chain has a carbon-to-carbon double bond at least at one end of the main chain.

2. The copolymer of polar group-containing allyl monomers as claimed in claim 1 which further has a structure that:

(C) the number average molecular weight in terms of polystyrene (Mn) is 1,000 or more and 1,000,000 or less;

(D) the molecular weight distribution (Mw/Mn) is 1.0 or more and 3.0 or less; and

(E) n and m representing the molar ratio of the monomer units represented by formulae (3-1) and (4) satisfy the following formula:

0.1≦{ m /( m+n )}×100≦50.

3. The copolymer of polar group-containing allyl monomers as claimed in claim 1 , wherein R 1-1 in formula (3-1) is a hydrogen atom.

4. The copolymer of polar group-containing allyl monomers as claimed in claim 1 , wherein the monomer unit represented by formula (4) is derived from at least one allyl compound selected from the group consisting of allyl acetate, allyl chloride, allyl bromide, allyl amine, N-allylaniline and N-t-butoxycarbonyl-N-allylamine.

5. The copolymer of polar group-containing allyl monomers as claimed in claim 1 , wherein in formula (3-1) is a hydrogen atom and the monomer unit represented by formula (4) is derived from at least one allyl compound selected from the group consisting of allyl acetate, allyl chloride, allyl bromide, allyl amine, N-allylaniline and N-t-butoxycarbonyl-N-allylamine.

6. A copolymer of polar group-containing allyl monomers, which is a copolymer containing only the monomer units represented by formulae (3-1), (4-1) and (4-2)

in the formulae, R 1-1 represents a hydrogen atom or methyl group; and n, m 1 and m 2 represent the molar ratio of each of the monomer units;

(A) the main chain has one or less branch, which has two or more carbon atoms, per 1000 carbon atoms which constitute the main chain; and

(B) the main chain has a carbon-to-carbon double bond at least at one end of the main chain.

7. A copolymer of polar group-containing allyl monomers, which is a copolymer containing only the monomer units represented by formulae (3-1), (4-1) and (4-2)

in the formulae, R 1-1 represents a hydrogen atom or methyl group; and n, m 1 and m 2 represent the molar ratio of each of the monomer units;

(A) the main chain has one or less branch, which has two or more carbon atoms, per 1000 carbon atoms which constitute the main chain; and

(B) the main chain has a carbon-to-carbon double bond at least at one end of the chain;

wherein the copolymer further has a structure that:

(C) the number average molecular weight in terms of polystyrene (Mn) is 1,000 or more and 1,000,000 or less;

(D) the molecular weight distribution (Mw/Mn) is 1.0 or more and 3.0 or less; and

(E) n, m 1 and m 2 representing the molar ratio of the monomer units represented by formulae (3-1), (4-1) and (4-2) satisfy the following formula:

0.1≦{( m 1 +m 2 )/( m 1 +m 2 +n )}×100≦50.