Appeal No. 1997-4099 Application No. 08/345,343 APPENDIX 12. A method for producing a polyolefin in the presence of a catalyst comprising a transition metal compound and an organometallic compound, which comprises polymerizing at least one "-olefin in the presence of a catalyst system comprising: (A) a solid catalyst component prepared by reacting a homogenous solution consisting of (i) at least one member selected from the group consisting of metal magnesium and a hydroxylated organic compound, and oxygen-containing organic compounds of magnesium, (ii) at least one oxygen-containing organic compound of titanium and (iii) at least one silicon compound, first with (iv) at least one first organoaluminum halide compound of the formula: ARR5zX3-z wherein R5 is a hydrocarbon group having from 1 to 20 carbon atoms, X is a halogen atom, and 1 # z # 2, and wherein the atomic ratio of gram atoms of AR in the component (iv) to gram atoms of Mg in the component (i) (AR/Mg) is from 0.1 to 2.5 to precipitate crystalline nuclei, and then with (iv') at least one second organoaluminum halide compound different from (iv) of the formula: ARR5zX3-z wherein R5 and X are the same as defined above, and 0 < z < 2, and wherein the atomic ratio of gram atoms of AR in the component (iv') to gram atoms of Mg in the component (i) is from 0.5 to 20 to effect growth of the crystalline nuclei precipitated in (iv), adding thereto (v) at least one member selected from the group consisting of organometallic compounds of metals of Groups Ia, IIa, IIb, IIIb, and IVb of the Periodic Table, and (vi) absorbing at least one "-olefin in the reaction product of (i)-(v) in an amount of 0.001 to 20 parts by weight per part by weight of said reaction product of (i)- (v), and (B) an additional amount of at least one member selected from the group consisting of organometallic compounds of metals of Groups Ia, IIa, IIb, IIIb and IVb of the Periodic Table. -10-Page: Previous 1 2 3 4 5 6 7 8 9 10Last modified: November 3, 2007