Olefin polymerization catalyst and process for the polymerization of olefins

Claim 2

An olefin polymerization solid catalyst component comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal.

Claim 3

An olefin polymerization catalyst comprising (Ia) a solid catalyst component comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (II) an aluminoxane.

Claim 4

An olefin polymerization catalyst comprising (Ia) a solid catalyst component comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (II) an aluminoxane.

Claim 5

An olefin polymerization catalyst comprising (Ia) a solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (II) an aluminoxane, and (III) an organoaluminum compound.

Claim 6

An olefin polymerization catalyst comprising (Ia) a solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (II) an aluminoxane, and (III) an organoaluminum compound.

Claim 7

A pre-polymerization catalyst prepared by pre-polymerizing olefin on an olefin polymerization catalyst comprising (Ia) a solid catalyst component comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (II) an aluminoxane.

Claim 8

A pre-polymerization catalyst prepared by pre-polymerizing olefin on an olefin polymerization catalyst comprising (Ia) a solid catalyst component comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (II) an aluminoxane.

Claim 9

A pre-polymerization catalyst prepared by pre-polymerizing olefin on an olefin polymerization catalyst comprising (Ia) a solid catalyst component comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (II) an aluminoxane, and (III) an organoaluminum compound.

Claim 10

A pre-polymerization catalyst prepared by pre-polymerizing olefin on an olefin polymerization catalyst comprising (Ia) a solid catalyst component comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (II) an aluminoxane, and (III) an organoaluminum compound.

Claim 11

An olefin polymerization catalyst comprising the pre-polymerized catalyst as described in claim 4 or claim 5, and further comprising at least one member selected from the group consisting of (II) aluminoxane and (III) an organoaluminum compound.

Claim 12

An olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane.

Claim 13

An olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane.

Claim 14

An olefin polymerization catalyst comprising (Ib) a solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, and (II) an aluminoxane.

Claim 15

An olefin polymerization catalyst comprising (Ib) a solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, and (II) an aluminoxane.

Claim 16

An olefin polymerization catalyst comprising (Ib) a solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, and (III) an organoaluminum compound.

Claim 17

An olefin polymerization catalyst comprising (Ib) a solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, and (III) an organoaluminum compound.

Claim 18

An olefin polymerization catalyst comprising (Ib) a solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, (II) an aluminoxane, and (III) an organoaluminum compound.

Claim 19

An olefin polymerization catalyst comprising (Ib) a solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, (II) an aluminoxane, and (III) an organoaluminum compound.

Claim 20

A prepolymerized catalyst prepared by pre-polymerizing olefin on an olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane.

Claim 21

A prepolymerized catalyst prepared by pre-polymerizing olefin on an olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane.

Claim 22

An olefin polymerization catalyst comprising (Ic) a pre-polymerized catalyst prepared by pre-polymerizing olefin on an olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, (II) an aluminoxane.

Claim 23

An olefin polymerization catalyst comprising (Ic) a pre-polymerized catalyst prepared by pre-polymerizing olefin on an olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, (II) an aluminoxane.

Claim 24

An olefin polymerization catalyst comprising (Ic) a pre-polymerized catalyst prepared by pre-polymerizing olefin on an olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, (III) an organoaluminum compound.

Claim 25

An olefin polymerization catalyst comprising (Ic) a pre-polymerized catalyst prepared by pre-polymerizing olefin on an olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, (III) an organoaluminum compound.

Claim 26

An olefin polymerization catalyst comprising (Ic) a pre-polymerized catalyst prepared by pre-polymerizing olefin on an olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, (II) an aluminoxane, and (III) an organoaluminum compound.

Claim 27

An olefin polymerization catalyst comprising (Ic) a pre-polymerized catalyst prepared by pre-polymerizing olefin on an olefin polymerization solid catalyst comprising (A) a solid titanium catalyst component prepared by contacting titanium compound with halogen containing magnesium compound, and having supported thereon following (B) and (C); (B) a transition metal compound having formula MLx wherein M is a transition metal selected from the group consisting of zirconium, hafnium, chromium and vanadium, L is a ligand coordinating to the transition metal, at least one L is a ligand having a cycloalkadienyl skeleton, and when at least two or more ligands having a cycloalkadienyl skeleton are contained, at least two ligands having cycloalkadienyl skeleton may be linked together via lower alkylene, substituted alkylene, silylene or substituted silylene, L other than the ligand having a cycloalkadienyl skeleton is hydrocarbon group of 1-12 carbon atoms, alkoxy of 1-12 carbon atoms, aryloxy, halogen or hydrogen, and x is a valence of the transition metal, and (C) an aluminoxane, (II) an aluminoxane, and (III) an organoaluminum compound.

Claim 28

The olefin polymerization catalyst according to claim 1 in which: (a) the atomic ratio of the transition metal to titanium is in the range of from 0.02 to 10; (b) the atomic ratio of magnesium to titanium is in the range of from 1 to 100; and (c) the atomic ratio of halogen to titanium is in the range of from 4 to 200.

Claim 29

The olefin polymerization catalyst according to any one of claims 2, 4, 8 or 12 in which (a) the atomic ratio of the transition metal to titanium is in the range of from 0.02 to 10; (b) the atomic ratio of magnesium to titanium is in the range of from 1 to 100; and (c) the atomic ratio of halogen to titanium is in the range of from 4 to 200; and (d) the atomic ratio of aluminum to the total transition metal is not greater than 5000.

Claim 30

The olefin polymerization catalyst according to any one of claims 7 or 11 in which (a) the atomic ratio of the transition metal to titanium is in the range of from 0.02 to 10; (b) the atomic ratio of magnesium to titanium is in the range of from 1 to 100; and (c) the atomic ratio of halogen to titanium is in the range of from 4 to 200; and (d) the atomic ratio of aluminum to the transition metal is not greater than 500.

Claim 31

The olefin polymerization catalyst according to any one of claims 3, 5, 9-10 or 13-14, in which: (a) the atomic ratio of the transition metal to titanium is in the range of from 0.02 to 10; (b) the atomic ratio of magnesium to titanium is in the range of from 1 to 100; and (c) the atomic ratio of halogen to titanium is in the range of from 4 to 200; and (d) the atomic ratio of aluminum to the total transition metal is not greater than 5000; and (e) the ratio of the organoaluminum compound to aluminoxane is in the range of from 0.1 to 20; said ratio being calculated as Al (aluminum) atomic ratio.

Claim 32

The olefin polymerization catalyst according to claim 4 in which: (a) the atomic ratio of the transition metal to titanium is in the range of from 0.02 to 10; (b) the atomic ratio of magnesium to titanium is in the range of from 1 to 100; and (c) the atomic ratio of halogen to titanium is in the range of from 4 to 200; and (d) the atomic ratio of aluminum to the total transition metal is not greater than 5000.

Claim 33

The olefin polymerization catalyst according to claim 5 and further comprising at least one member selected from (II) aluminoxane and (III) an organoaluminum compound, and in which: (a) the atomic ratio of the transition metal to titanium is in the range of from 0.02 to 10; (b) the atomic ratio of magnesium to titanium is in the range of from 1 to 100; and (c) the atomic ratio of halogen to titanium is in the range of from 4 to 200; and (d) the atomic ratio of aluminum to the total transition metal is not greater than 5000; and (e) the ratio of the organoaluminum compound to aluminoxane is in the range of from 0.1 to 20; said ratio being calculated as Al (aluminum) atomic ratio.