Dendritic polymers having biphosphonic terminations, derivatives thereof, method for preparing them, and their use

1. A dendritic polymer of generation n comprising:

a central core § of valence m;

generation chains branching around the core;

an intermediate chain at the end of each generation chain that is present, or at the end of each bond around the core, where appropriate; and

a terminal group at the end of each intermediate chain,

wherein said terminal group is represented by the formula:

-(A1)<[A2-P(═O)(OX) 2 ] 2   (T)

wherein

-A1< represents the radical —CR< or -Heteroatom<;

the radicals A2, which are identical or different, each independently of the other represents a single bond or a linear or branched hydrocarbon chain having from 1 to 6 chain members, each of said chain members optionally being selected from a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, - OAlkyl, -Aryl, and -Aralkyl;

R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical;

X represents an -Alkyl or -Aryl radical, —H or /M + , where M is a cation,

m represents an integer greater than or equal to 1

n represents an integer from 0 to 12; and

< represents two bonds situated on A1,

wherein the intermediate chains are represented by formula:

-J-K-L-  (C2)

wherein

J represents an oxygen atom, a sulfur atom or a radical —NR—;

K represents an -Aryl-, —C(═O), -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

L represents a linear or branched hydrocarbon chain having from 1 to 6 chain members and optionally having one or more double or triple bonds, each of said chain members optionally being a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl,

wherein R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical,

wherein the generation chains are represented by the formula:

-A′-(C═O)—N(R)—B′—N<  (C1′)

wherein

A′ and B′ each independently of the other represents an -Alkyl, -Alkenyl, or -Alkynyl radical, each of which is optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl; and

R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical.

2. A dendritic polymer according to claim 1 , wherein A′ and B′ each independently of the other represents a radical -Alkyl-.

3. A dendritic polymer of generation n comprising:

a central core § of valence m;

generation chains branching around the core;

an intermediate chain at the end of each generation chain that is present, or at the end of each bond around the core, where appropriate; and

a terminal group at the end of each intermediate chain,

wherein said terminal group is represented by the formula:

-(A1)<[A2-P(═O)(OX) 2 ] 2   (T)

wherein

-A1< represents the radical —CR< or -Heteroatom<;

the radicals A2, which are identical or different, each independently of the other represents a single bond or a linear or branched hydrocarbon chain having from 1 to 6 chain members, each of said chain members optionally being selected from a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl;

R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical;

X represents an -Alkyl or -Aryl radical, —H or /M + , where M is a cation,

m represents an integer greater than or equal to 1,

n represents an integer from 0 to 12; and

< represents two bonds situated on A1,

wherein the intermediate chains are represented by formula:

-J-K-L-  (C2)

wherein

J represents an oxygen atom, a sulfur atom or a radical —NR—;

K represents an -Aryl-, —C(═O), -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

L represents a linear or branched hydrocarbon chain having from 1 to 6 chain members and optionally having one or more double or triple bonds, each of said chain members optionally being a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl,

wherein R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical,

wherein the generation chains are represented by the formula:

-A″-N<  (C1″)

wherein

A″ represents an -Alkyl, -Alkenyl, or -Alkynyl radical, each of which is optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl,

wherein R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical.

4. A dendritic polymer according to claim 3 , wherein A″ represents an optionally substituted radical -Alkyl-.

5. A dendritic polymer of generation n comprising:

a central core § of valence m;

optionally, generation chains branching around the core;

an intermediate chain at the end of each generation chain that is present, or at the end of each bond around the core, where appropriate; and

a terminal group at the end of each intermediate chain,

wherein said dendritic polymer which is represented by the following formula (I-1i):

§-{{A-B-C(D)=N—N(E)-(P(=G))<} n [J-K-(Alk) a -N<[A2-P(═O)(OX) 2 ] 2 ] 2 } m   (I-1i)

in which:

§ represents a central core;

{A-B-C(D)=N—N(E)-(P(=G))<} n represents generation chains;

J-K-(Alk) a - represents an intermediate chain;

A represents an oxygen, sulfur or phosphorus atom or a radical —NR—;

B represents an -Aryl-, -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

C represents a carbon atom,

D and E, which are identical or different, each independently of the other represents a hydrogen atom, or an -Alkyl, —OAlkyl, -Aryl, or -Aralkyl radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

G represents a sulfur, oxygen, nitrogen, selenium or tellurium atom or a radical ═NR;

N represents a nitrogen atom;

P represents a phosphorus atom;

R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical;

J represents an oxygen atom, a sulfur atom or a radical —NR—;

K represents an -Aryl-, -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or a —NO2, —NRR′, —CN, —CF3, —OH, -Alkyl, -Aryl, or -Aralkyl radical;

X represents an -alkyl or -Aryl radical, —H or /M + , where M is a cation,

the radicals A2, which are identical or different, each independently of the other represents a single bond or a linear or branched hydrocarbon chain having from 1 to 6 chain members, each of said chain members optionally being selected from a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl;

m represents an integer greater than or equal to 1;

n represents an integer from 0 to 12;

denotes the branched structure of the generation n chains of said dendritic polymer, and

a represents 0 or 1.

6. A dendritic polymer according to claim 5 , wherein A2 represents -Me-.

7. A dendritic polymer according to claim 5 , wherein the central core § is selected from the group consisting of:

8. A dendritic polymer according to claim 5 , wherein the central core § has the formula:

9. A dendritic polymer according to claim 5 , wherein m represents an integer from 1 to 8.

10. A dendritic polymer according to claim 5 , wherein m is selected from 3, 4 and 6.

11. A dendritic polymer according to claim 5 , wherein n is from 0 to 3.

12. A dendritic polymer according to claim 5 , wherein in formula (I -1i), A represents an oxygen atom.

13. A dendritic polymer according to claim 5 , wherein B represents an optionally substituted phenyl radical.

14. A dendritic polymers according to claim 5 , wherein D represents a hydrogen atom.

15. A dendritic polymer according to claim 5 , wherein E represents an -Alkyl radical.

16. A dendritic polymer according to claim 5 , wherein G represents a sulfur atom.

17. A dendritic polymer according to claim 5 , wherein M + represents a cation of an element of group IA, IIA, IIB or IIIA of the periodic table or a cation of a nitrogen-containing base.

18. A dendritic polymer according to claim 5 , wherein M is selected from the atoms sodium and potassium.

19. A method for preparing a dendritic polymer according to claim 5 , comprising:

(i) reacting the corresponding dendritic polymer having a terminal function —CHO, —CH═NR, —NH 2 or —P(=G)Cl 2

with a corresponding compound having one or two functionalities —PO 3 X 2 ;

(ii) optionally followed, when X represents H or M, by a step which comprises converting the dendritic polymer obtained in (i) having a —PO 3 Me 2 termination into the corresponding dendritic polymer having an -A1<[A2-P(═O)(OH) 2 ] 2 termination,

(iii) optionally followed, when X represents M, by a step which comprises converting the dendritic polymer obtained in (ii) having an -A1<[A2-P(═O)(OH) 2 ] 2 termination into the salt of the corresponding dendritic polymer having an -A1<[A2-P(═O)(OM) 2 ] 2 termination.

20. A method for preparing a dendritic polymer according to claim 19 , wherein, when the dendritic polymer according to the invention is represented by the formula (I-1i)

§-{{A-B-C(D)=N—N(E)-(P(=G))<} n [J-K-(Alk) a -N<[A2-P(═O)(OX) 2 ] 2 ] 2 } m   (I-1 i)

in which §, A, B, C, D, E, G, N, P, J, K, A2, Alk, X, a, m, n, and <have the meanings defined above,

step (i) comprises reacting with the corresponding dendritic polymer of the same generation n of the formula

§-{{A-B-C(D)=N—N(E)-(P(=G))<Y 2 } n   (II-1i)

wherein Y represents —Cl;

a compound of formula

H-J-K-(Alk) a -N<[A2-P(═O)(OX) 2 ] 2   (III).

21. A method according to claim 20 , wherein the reaction is carried out in solution in a polar aprotic solvent, in the presence of an organic or inorganic base, at a temperature of from −80° C. to 100° C.

22. A method according to claim 19 , wherein, when the dendritic polymer according to the invention is represented by formula (I-1ii)

§-{{A-B-C(D)=N—N(E)-(P(=G))<} n [J-K-C(D)=N—N(E)-(Alk) a -CH<[A2-P(═O)(OX) 2 ] 2 ] 2 } m   (I-1ii)

in which:

§, A, B, C, D, E, G, N, P, J, K, L, X, A2, m, n, and a have the meanings defined above,

step (i) comprises reacting with the corresponding dendritic polymer of formula

§-{{A-B-C(D)=N—N(E)-(P(=G))<} n -[J-K-L′] 2 } m   (II-1 ii)

wherein L′ represents a radical —CHO ;

a compound of formula

(Alk′) a —CH—[A2-P(═O)(OX) 2 ]  (VI)

wherein Alk′ corresponding to Alk defined above in formula (I-1ii)represents a radical Alkenyl, and X has the meaning defined above, in the presence of a compound of formula

H 3 C—NH—NH 2   (VII).

23. A method according to claim 22 , wherein the reaction is carried out in a polar aprotic solvent medium, by addition of the compounds (VI) and (VII) to the dendritic polymer (II-1ii) at a temperature of from −80° C. to 100° C.

24. A method for preparing a dendritic polymer according to claim 19 , wherein step (ii) is carried out:

by the action of a trimethylsilane halide,

followed by the action of anhydrous MeOH, which is added to the reaction mixture.

25. A method according to claim 24 , wherein the procedure is carried out in a polar aprotic organic solvent by addition of the trimethylsilane halide while keeping the reaction mixture at a temperature of from −80° C. to 50° C.

26. A method for preparing a dendritic polymer according to claim 19 , wherein in step (iii) a salt of a compound according to the invention is obtained starting from a compound according to the invention having a terminal group in which X represents a hydrogen atom.

27. A method for preparing a dendritic polymer according to claim 26 , wherein the procedure is carried out in solution, in a suitable polar protic or aprotic solvent, in the presence of an organic or inorganic base, depending on the salt that is desired.

28. A method for treating or being in contact with surfaces comprising using a dendritic polymer according to claim 5 .

29. A method according to claim 28 , wherein said surfaces are metal, silica-based or oxide-based.

30. A method according to claim 28 , wherein said dendritic polymer is used as an additive in a composition that is to be in contact with or to treat said surface.

31. A method according to claim 28 , wherein said dendritic polymer is used as an anti-corrosive agent, a lubricating agent, a scale preventer or as a flame retardant.

32. A dendritic polymer of generation n comprising:

a central core § of valence m;

optionally, generation chains branching around the core;

an intermediate chain at the end of each generation chain that is present, or at the end of each bond around the core, where appropriate; and

a terminal group at the end of each intermediate chain,

wherein said dendritic polymer is represented by the following formula (I-1ii):

§-{{A-B-C(D)=N—N(E)-(P(=G))<} n [J-K-C(D)=N—N(E)-(Alk) a -CH<[A2-P(═O)(OX) 2 ] 2 ] 2 } m   (I-1 ii)

in which:

§ represents a central core;

{A-B-C(D)=N—N(E)-(P(=G))<} n represents generation chains;

J-K-C(D)=N—N(E)-(Alk) a - represents and intermediate chain;

A represents an oxygen, sulfur or phosphorus atom or a radical —NR—;

B represents an -Aryl-, -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

C represents a carbon atom,

D and E, which are identical or different, each independently of the other represents a hydrogen atom, or an -Alkyl, —OAlkyl, -Aryl, or -Aralkyl radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

G represents a sulfur, oxygen, nitrogen, selenium or tellurium atom or a radical ═NR;

N represents a nitrogen atom;

P represents a phosphorus atom;

J represents an oxygen atom, a sulfur atom or a radical —NR—;

K represents an -Aryl-, -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or by a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

X represents an Alkyl or-Aryl radical, —H or /M + , where M is a cation,

the radicals A2, which are identical or different, each independently of the other represents a single bond or a linear or branched hydrocarbon chain having from 1 to 6 chain members, each of said chain members optionally being selected from a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl;

m represents an integer greater than or equal to 1;

n represents an integer from 0 to 12;

denotes the branched structure of the generation n chains of said dendritic polymer, and

a represents 0 or 1.

33. A dendritic polymer according to claim 32 , wherein A2 represents -Me-.

34. A dendritic polymer according to claim 32 , wherein the central core § is selected from the group consisting of:

35. A dendritic polymer according to claim 32 , wherein the central core § has the formula:

36. A dendritic polymer according to claim 32 , wherein m represents an integer from 1 to 8.

37. A dendritic polymer according to claim 32 , wherein m is selected from 3, 4 and 6.

38. A dendritic polymer according to claim 32 , wherein n is from 0 to 3.

39. A dendritic polymer according to claim 32 , wherein in formula (I-1ii) , A represents an oxygen atom.

40. A dendritic polymer according to claim 32 , wherein B represents an optionally substituted phenyl radical.

41. A dendritic polymer according to claim 32 , wherein D represents a hydrogen atom.

42. A dendritic polymer according to claim 32 , wherein E represents an -Alkyl radical.

43. A dendritic polymer according to claim 32 , wherein G represents a sulfur atom.

44. A dendritic polymer according to claim 32 , wherein M + represents a cation of an element of group IA, IIA, IIB or IIIA of the periodic table or a cation of a nitrogen-containing base.

45. A dendritic polymer according to claim 32 , wherein M is a sodium or a potassium atom.

46. A dendritic polymer of generation n comprising:

a central core § of valence m;

optionally, generation chains branching around the core;

an intermediate chain at the end of each generation chain that is present, or at the end of each bond around the core, where appropriate; and

a terminal group at the end of each intermediate chain,

wherein said terminal group is represented by the formula:

-(A1)<[A2-P(═O)(OX) 2 ] 2   (T)

wherein

-A1< represents the radical —CR< or -Heteroatom<;

the radicals A2, which are identical or different, each independently of the other represents a single bond or a linear or branched hydrocarbon chain having from 1 to 6 chain members, each of said chain members optionally being selected from a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl;

R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical;

X represents an -Alkyl or -Aryl radical, —H or /M + , where M is a cation,

m represents an integer greater than or equal to 1;

n represents an integer from 0 to 3, and < represents two bonds situated on A1,

wherein the intermediate chains are represented by formula:

-J-K-L-  (C2)

wherein

J represents an oxygen atom, a sulfur atom or a radical —NR—;

K represents an -Aryl-, —C(═O), -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

L represents a linear or branched hydrocarbon chain having from 1 to 6 chain members and optionally having one or more double or triple bonds, each of said chain members optionally being a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl,

wherein R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical.

47. A dendritic polymer according to claim 46 , wherein the generation chains are selected from linear and branched hydrocarbon chains having from 1 to 12 chain members and optionally having one or more double or triple bonds, each of said chain members optionally being selected from a heteroatom, an Aryl radical, a Heteroaryl radical, >C═O, and >C═NR, each chain member being optionally substituted by one or more substituents selected from the group consisting of-Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl,

wherein

R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical.

48. A dendritic polymer according to claim 46 , wherein M + represents a cation of an element of group IA, IIA, IIB or IIIA of the periodic table or a cation of a nitrogen-containing base.

49. A dendritic polymer according to claim 46 , wherein M is selected from the atoms sodium and potassium.

50. A dendritic polymer according to claim 46 , wherein the generation chains are identical.

51. A dendritic polymer according to claim 46 , wherein the generation chains and intermediate chains are respectively represented by the formula (C1) and (C2):

-A-B-C(D)=N—N(E)-(P(=G))<  (C1)

-J-K-L-  (C2)

wherein:

A represents an oxygen, sulfur or phosphorus atom or a radical —NR—;

B represents an -Aryl-, -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or by a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

C represents a carbon atom,

D and E, which are identical or different, each independently of the other represents a hydrogen atom, or an -Alkyl, —OAlkyl, -Aryl, or -Aralkyl radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

G represents a sulfur, oxygen, nitrogen, selenium or tellurium atom or a radical ═NR;

N represents a nitrogen atom;

P represents a phosphorus atom;

J represents an oxygen atom, a sulfur atom or a radical —NR—;

K represents a radical -Aryl-, -Heteroaryl-, or -Alkyl-, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

L represents a linear or branched hydrocarbon chain having from 1 to 6 chain members and optionally having one or more double or triple bonds, each of said chain members optionally being a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl,

wherein R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical.

52. A dendritic polymer according to claim 46 , which is represented by the following formula (I-1 i):

§-{{A-B-C(D)=N—N(E)-(P(=G))<} n [J-K-(Alk) a -N<[A2-P(═O)(OX) 2 ] 2 ] 2 } m   (I-1 i)

in which:

§ represents a central core;

{{A-B-C(D)=N—N(E)-(P(=G))<} n represents generation chains;

J-K-(Alk) a - represents an intermediate chains;

A represents an oxygen, sulfur or phosphorus atom or a radical —NR—;

B represents an -Aryl-, -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

C represents a carbon atom,

D and E, which are identical or different, each independently of the other represents a hydrogen atom, or an -Alkyl, —OAlkyl, -Aryl, or -Aralkyl radical, each of which is optionally substituted by a Halogen atom or a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical;

G represents a sulfur, oxygen, nitrogen, selenium or tellurium atom or a radical ═NR;

N represents a nitrogen atom;

P represents a phosphorus atom;

R and R′, which are identical or different, each independently of the other represents a hydrogen atom or an -Alkyl, -Aryl, or -Aralkyl radical;

J represents an oxygen atom, a sulfur atom or a radical —NR—;

K represents an -Aryl-, -Heteroaryl-, or -Alkyl- radical, each of which is optionally substituted by a Halogen atom or a —NO2, —NRR′, —CN, —CF3, —OH, -Alkyl, -Aryl, or -Aralkyl radical;

X represents an -alkyl or -Aryl radical, -H or /M + , where M is a cation, the radicals A2, which are identical or different, each independently of the other represents a single bond or a linear or branched hydrocarbon chain having from 1 to 6 chain members, each of said chain members optionally being selected from a heteroatom, each chain member being optionally substituted by one or more substituents selected from -Alkyl, -Hal, —NO 2 , —NRR′, —CN, —CF 3 , —OH, —OAlkyl, -Aryl, and -Aralkyl;

m represents an integer greater than or equal to 1;

n represents an integer from 0 to 3;

denotes the branched structure of the generation n chains of said dendritic polymer, and

a represents 0 or 1.

53. A method for preparing a dendritic polymer according to claim 46 , comprising:

(i) reacting the corresponding dendritic polymer having a terminal function —CHO, —CH═NR, —NH 2 or —P(=G)Cl 2

with a corresponding compound having one or two functionalities —PO 3 X 2 ;

(ii) optionally followed, when X represents H or M, by a step which comprises converting the dendritic polymer obtained in (i) having a —PO 3 Me 2 termination into the corresponding dendritic polymer having an -A1<[A2-P(═O)(OH) 2 ] 2 termination,

(iii) optionally followed, when X represents M, by a step which comprises converting the dendritic polymer obtained in (ii) having an -A1<[A2-P(═O)(OH) 2 ] 2 termination into the salt of the corresponding dendritic polymer having an -A1<[A2-P(═O)(OM) 2 ] 2 termination.

54. A method for treating or being in contact with surfaces comprising using a dendritic polymer according to claim 46 .

55. A dendritic polymer according to claim 46 , wherein J represents an oxygen atom.

56. A dendritic polymer according to claim 46 , wherein K represents an optionally substituted -Phenyl- radical.

57. A dendritic polymer according to claim 46 , wherein L represents a radical -(Alk) a - or the radical —C(D)=N—N(E)-(Alk) a -, where D and E, which are identical or different, each independently of the other represent a hydrogen atom, or an -Alkyl, —OAlkyl, -Aryl, or -Aralkyl radical, each of which is optionally substituted by a halogen atom or by a —NO 2 , —NRR′, —CN, —CF 3 , —OH, -Alkyl, -Aryl, or -Aralkyl radical.

58. A dendritic polymer according to claim 46 , wherein A2 represents -Me-.

59. A dendritic polymer according to claim 46 , wherein the central core § is selected from the group consisting of:

60. A dendritic polymer according to claim 46 , wherein the central core § has the formula:

61. A dendritic polymer according to claim 46 , wherein m represents an integer from 1 to 8.

62. A dendritic polymer according to claim 46 , wherein m is selected from 3, 4 and 6.