Abstract: A salt of formula (I) [HEoR13]+[T1T2]? ??(I) wherein Eo is a nitrogen or phosphorous atom; R1 is hydrocarbon radical; T1 is a Lewis acid that forms a complex with T2, and T2 is a substituted pyrrolyl radical of formula (III) These salts can be used as cocatalyst in a process for the polymerization of alpha-olefins in conjunction with a transition metal organometallic compound.

Abstract: The present invention provides 3,4-isoprene-based polymer with high regioregularity, in particular high tacticity. Specifically, the present invention provides an isoprene-based polymer, including a structural unit represented by Formula (I) in Claims, wherein the isotacticity of an arrangement of the structural units is 99% mmmm or more in terms of pentad content. Further, the present invention provides a production method for the isoprene-based polymer, which comprises polymerizing an isoprene-based compound in the presence of a polymerization catalyst containing a complex represented by the following Formula (A) in Claims.

Abstract: This invention relates to (meth)acrylate-based polymerizable compositions and adhesive systems prepared therefrom, which include a alkylated borohydride or tetraalkyl borane metal or ammonium salt and a polymerizable siloxane. The inventive compositions and adhesive systems are particularly well suited for bonding applications which involve at least one low energy bonding surface, for example, the polyolefins, polyethylene, and polypropylene.

Abstract: This invention relates to a process to polymerize olefins comprising contacting, at a temperature of 60° C.

Abstract: This invention relates to a transition metal catalyst compound represented by the formula: LMX2 or (LMX2)2 wherein each M is independently a Group 7 to 11 metal, preferably a Group 7, 8, 9, or 10 metal; each L is, independently, a tridentate or tetradentate neutrally charged ligand that is bonded to M by three or four nitrogen atoms, (where at least one of the nitrogen atoms is a central nitrogen atom and at least two of the nitrogen atoms are terminal nitrogen atoms), and at least two terminal nitrogen atoms are substituted with one C3-C50 hydrocarbyl and one hydrogen atom or two hydrocarbyls wherein at least one hydrocarbyl is a C3-C50 hydrocarbyl, and the central nitrogen atom is bonded to three different carbon atoms or two different carbon atoms and one hydrogen atom; X is independently a monoanionic ligand, or two X may join together to form a bidentate dianionic ligand.

Abstract: This invention relates to a process to polymerize olefins comprising contacting, in a polymerization system, olefins having three or more carbon atoms with a catalyst compound, activator, optionally comonomer, and optionally diluent or solvent, at a temperature above the cloud point temperature of the polymerization system and a pressure no lower than 10 MPa below the cloud point pressure of the polymerization system, where the polymerization system comprises any comonomer present, any diluent or solvent present, the polymer product, where the olefins having three or more carbon atoms are present at 40 weight % or more.

Abstract: Disclosed is a method of preparing an ultra-high molecular weight, linear low density polyethylene with a catalyst system that comprises a bridged indenoindolyl transition metal complex, a non-bridged indenoindolyl transition metal complex, an alumoxane activator and a boron-containing activator. The ultra-high molecular weight, linear low density polyethylene has a weight average molecular weight greater than 1,000,000 and a density less than 0.940 g/cm3.

Abstract: A process for the polymerization of olefins, in particular a process for the copolymerization of propylene with further olefins, is carried out in the presence of highly active catalyst systems comprising specifically selected metallocenes, in particular ones which bear different substituents in position 2 and position 4 on an indenyl ligand. Novel polypropylene copolymers can be obtained by this process.

Abstract: A process for the polymerisation of olefins is described involving the use of a catalyst system comprising a supported transition metal compound and an activator based on an organoborane and an aluminoxane. Preferably the transition metal compound is a metallocene complex. The support is pretreated with an organoaluminium compound and the process is particularly suitable for the gas phase preparation of copolymers of ethylene and alpha-olefins having a molecular weight distribution in the range 2.5-7.0 and a melt strength in the range 3-12 cN.

Abstract: Non-coordinating anions or anion precursors are disclosed. These non-coordinating anions serve as the activator for olefin polymerization catalyst systems. As such, they abstract an alkyl leaving group from a metallocene catalyst precursor leaving an activated catalyst charge balanced by a non-coordinating anion. These anions are formed by 3 or 4 partially fluorinated naphthyl ligands coordinated around boron (or other Group-13 element) creating corresponding tris-borane or tetrakis-borate complexes.

Abstract: Branched crystalline polypropylene compositions and methods for the preparation of branched crystalline polypropylene compositions are provided. For example, described herein is a process of preparing branched crystalline polypropylene composition that comprises contacting a supported metallocene catalyst compound with a polymerization medium that comprises propylene monomers; and conducting polymerization of the propylene monomers at a temperature greater than 70° C. for a time sufficient to provide branched crystalline polypropylene that has from 0.0 wt % to 2.0 wt % ethylene and a heat of fusion of 70 J/g or more.

Abstract: This invention relates to a process to produce propylene polymers comprising contacting a metallocene catalyst compound and an activator in a reaction medium comprising propylene, from 0 to 30 volume % of one or more solvents and from 0 to 30 mole % of one or more comonomers, under temperature and pressure conditions below the melting point of the propylene polymer and where: a) the temperature is at or above the critical temperature for the reaction medium, and the pressure is at least 500 kPa above the critical pressure of the reaction medium; or b) the temperature is 1° C. or more above the critical temperature for the reaction medium, and the pressure is at or above the critical pressure of the reaction medium; or c) the temperature is 1° C. or more above the critical temperature for the reaction medium, and the pressure is at least 500 kPa above the critical pressure of the reaction medium.

Abstract: A composition is provided that includes a product of combining, in the presence of a free radical initiator a catalyst precursor and at least one monomer wherein the monomer and the catalyst precursor are poiymerizable by free-radical polymerization and wherein the catalyst precursor compound is represented by the formula: wherein each X is an abstractable ligand; each R, R?, R?, R??, Rp1 and Rp2 is independently hydrogen or a hydrocarbyl group provided at least one of Rp1, Rp2, and R?? can be polymerized by a free radical initiator; and M is a Group-4-11 metal.

Abstract: An organometallic compound obtainable by contacting: a compound having the following formula (I), wherein: Ra is a hydrocarbon radical; Rb, Rc and Rd, are hydrogen atoms, halogen atoms, or hydrocarbon radicals; with a Lewis acid of formula (II) MtR13 (II) wherein Mt is a metal belonging to Group 13 of the Periodic Table of the Elements; R1 are selected from the group consisting of halogen atoms, halogenated C6–C20 aryl and halogenated C7–C20 alkylaryl groups

Abstract: A 1-butene polymer satisfying the following (1), (2) and either (3) or (3?): a process for producing the polymer; a resin modifier comprising the polymer; and a hot-melt adhesive containing the polymer. (1) The intrinsic viscosity [?] as measured in tetralin solvent at 135° C. is 0.01 to 0.5 dL/g. (2) The polymer is a crystalline resin having a melting point (Tm-D) of 0 to 100° C., the melting point being defined as the top of the peak observed on the highest-temperature side in a melting endothermic curve obtained with a differential scanning calorimeter (DSC) in a test in which a sample is held in a nitrogen atmosphere at ?10° C. for 5 min and then heated at a rate of 10° C./min. (3) The stereoregularity index {(mmmm)/(mmrr+rmmr)} is 30 or lower. (3?) The mesopentad content (mmmm) determined from a nuclear magnetic resonance (NMR) spectrum is 68 to 73%.

Abstract: A method for the preparation of a supported transition metal catalyst system which includes the steps of: (i) mixing together in a suitable solvent (a) an aluminoxane and (b) an ionic activator containing a cation and an anion, wherein the anion has at least one substituent containing a moiety having an active hydrogen, (ii) addition of the mixture from step (i) to a support material, and (iii) addition of a transition metal compound in a suitable solvent. The use of tetraisobutylaluminoxane as the aluminoxane results in a more stable activity profile and improved polymer properties in particular melt strength.

Abstract: The present invention discloses a metallocene catalyst component of the formula (I) [(Flu-R?-Cp)2M]?[Li(ether)4]+, wherein Cp is a cyclopentadienyl, substituted or unsubstituted, Flu is a fluorenyl, substituted or unsubstitutted, M is a metal Group III of the Periodic Table, and R? is a structural bridge between Cp and Flu imparting stereorigidity to the component. It further discloses a process for preparing said metallocene catalyst component and its use in controlled polymerisation.

Abstract: A fluorophenylborate useful as an activator for an olefin polymerization catalyst is represented by the formula: Ct+[B—(ArfRn)4]? where Ct+ is a cation capable of extracting an alkyl group from, or breaking a carbon-metal bond of, an organo metallic compound; Arf is a fluorophenyl group; n is 1 or 2; and each R is independently selected from a fluorophenyl group and a fluoronaphthyl group, provided that when n=1, each R group is connected at the 3-position relative the connection between the associated Arf group and the boron atom and, when n=2; the R groups are connected at the 3-position and the 5-position respectively relative the connection between the associated Arf group and the boron atom.

Abstract: The invention related to a process for the polymerization of at least one aliphatic or aromatic hydrocarbyl C2-20 mono- or multiolefin in the presence of a catalyst and a boron comprising co-catalyst, wherein the catalyst comprises a composition of a metal-organic reagent, a spectator ligand and optionally at least one equivalent of a hydrocarbylating agent. The invention further relates to a polymer obtainable by the process of the invention.

Abstract: Ethylene propylene copolymers, substantially free of diene, are described. The copolymers will have a uniform distribution of both tacticity and comonomer between copolymer chains. Further, the copolymers will exhibit a statistically insignificant intramolecular difference of tacticity. The copolymers are made in the presence of a metallocene catalyst.

Abstract: Process to polymerize olefins comprising contacting, in a polymerization system, olefins having three or more carbon atoms with a catalyst compound, activator, optionally comonomer, and optionally diluent or solvent, at a temperature above the cloud point temperature of the polymerization system and a pressure no lower than 10 MPa below the cloud point pressure of the polymerization system, where the polymerization system comprises any comonomer present, any diluent or solvent present, the polymer product, where the olefins having three or more carbon atoms are present at 40 weigh % or more.

Abstract: This invention relates to compounds represented by formula: wherein M is a group 3, 4, 5 or 6 transition, lanthanide, or actinide metal atom; E is an indenyl ligand substituted in any position with at least one aromatic or pseudoaromatic heterocyclic substituent that is bonded to the indenyl ring through a nitrogen or phosphorous ring heteroatom; A is a substituted or unsubstituted cyclopentadienyl, heterocyclopentadienyl, indenyl, heteroindenyl, fluorenyl, or heterofluorenyl ligand, or other mono-anionic ligand, or A may, independently, be E; Y is an optional bridging group; y is zero or one; X are, independently, univalent anionic ligands, and provided that when A is E, and y is one, and Y is bonded to the one position of each indenyl ligand, and per indenyl ligand there is only one aromatic heterocyclic or pseudoaromatic heterocyclic that is bonded to the indenyl ligand.

Abstract: Supported catalyst systems are provided comprising (a) a transition metal compound, (b) a non aluminoxane activator comprising, and (c) a support material comprising an inorganic metal oxide, inorganic metal halide or polymeric material or mixtures thereof characterised in that the support material has been pretreated with an SO4 containing compound. The preferred transition metal compounds are metallocenes and the SO4 containing compound is typically sulphuric acid. The supported catalyst systems show improved activity and also may reduce fouling in gas phase fluidised bed processes.

Abstract: Methods for making polyolefins are disclosed. One method comprises polymerizing an olefin in the presence of a catalyst system comprising a single-site complex, an agglomerated metal oxide/clay support-activator, and an ionic borate. Including an ionic borate with the support-activator provides an unexpected boost in catalyst activity and gives polyolefins with high molecular weight and improved comonomer incorporation. In another method of the invention, an olefin is polymerized in the presence of an indenoindolyl metal alkylated complex and an agglomerated metal oxide/clay support-activator. Use of alkylated indenoindolyl complexes with the support-activators provides improved activity compared with metal halides.

Abstract: A process for the homopolymerisation of ethylene or the copolymerisation of ethylene and (a-olefins in a polymeristation reactor, said process carried out in the presence of a catalyst system comprising (a) a polymerisation catalyst and (b) an ionic activator is characterised in that an organometallic compound of a Group IIIB metal having at least one unit of formula: Mç0çR or Mç0çM where M is the Group IIIB metal and R is a hydrocarbyl group is added to the reactor. Preferred organometallic compounds include aluminoxanes and the process results in improved poison scavenging as well as advantages in activity profiles, catalyst activity and product characteristics. The process is particularly suitable for use with supported metallocene catalyst systems in the slurry or gas phase.

Abstract: In a process for producing a propylene copolymer, propylene and at least one olefin monomer selected from ethylene and alpha olefins having 4 to 20 carbon atoms are contacted with a catalyst system comprising (a) a catalyst precursor comprising an organometallic compound and (b) an activator comprising a fluoroarylborate anion represented by the formula: Ct+[B—(ArxRn)]? where Ct+ is a cation capable of extracting an alkyl group from, or breaking a carbon-metal bond of, the organometallic compound; Ar is a fluorophenyl group; R is a fluoronaphthyl group and each of x and n is 1, 2, or 3, with the proviso that the sum of x+n=4.

Abstract: Telechelic polymers having two reactive functional groups at the same polymer chain end are disclosed. These polymers can be prepared by combining a cycloborane initiator, at least one free radical polymerizable monomer and oxygen to form a polymer segment having a borane residue at one end of the polymer segment resulting from the cycloborane initiator; and converting the borane residue to at least two functional groups to form the telechelic polymer.

Abstract: A solid cocatalyst for olefin polymerization in which an ion-containing compound comprising a cation expressed by [R4M]+, wherein the group R are each individually selected from the group consisting of hydrogen atom and a substituted or non-substituted hydrocarbon group having from 1 to 30 carbon atoms with the exception of an aryl group; two or more groups R may form a ring by bonding with one another; at least one of the groups R is a hydrocarbon group having from 1 to 30 carbon atoms with the exception of an aryl group; and M represents nitrogen or sulfur, and a non-coordinating anion expressed by [A] said ion-containing compound is chemically bonded to a fine particulate carrier is used.

Abstract: This invention relates to a transition metal compound represented by the formula LMX wherein M is a Group 3 to 11 metal L is a bulky bidentate or tridentate neutral ligand that is bonded to M by two or three heteroatoms and at least one heteroatom is nitrogen; X is a substituted or unsubstituted catecholate ligand provided that the substituted catecholate ligand does not contain a 1,2-diketone functionality.

Abstract: The present invention provides a process for producing an ethylene-?-olefin-unconjugated polyene random copolymer in an aliphatic hydrocarbon solvent under conditions of high-temperature and high-activity. The process comprises polymerizing at least the following components (a)-(c) in an aliphatic hydrocarbon solvent in the presence of a catalyst comprising (A) a transition metal complex having at least one cyclopentadienyl skeleton and (B) an organoaluminum compound and (C) a boron compound as co-catalysts wherein at least a part of the polyene (c) and at least a part of the boron compound (C) are previously contacted with each other before they are introduced into a polymerization reactor: (a): ethylene (b): an ?-olefin of 3-20 carbon atoms (c): a polyene.

Abstract: Ligands, compositions, metal-ligand complexes and arrays with substituted bridged bis-biaromatic ligands, and methods of making and using the same, are disclosed that are useful in the catalysis of transformations such as the polymerization of monomers into polymers. The catalysts have high performance characteristics, including higher comonomer incorporation into ethylene/olefin copolymers, where such olefins are for example, 1-octene, propylene or styrene. The catalysts also polymerize propylene into isotactic polypropylene.

Abstract: The present invention provides a process for preparing a low molecular weight olefin (co)polymer having a narrow molecular weight distribution with high productivity, by polymerizing or copolymerizing an olefin in the presence of an olefin polymerization catalyst comprising (A) a specific Group 4 transition metal compound, and (B) at least one compound selected from the group consisting of (B-1) an organometallic compound, (B-2) an organoaluminum compound, (B-3) an organoaluminum oxy-compound, and (B-4) a compound which reacts with the Group 4 transition metal compound (A) to form an ion pair; and compounds useful in that process.

Abstract: New ligands and compositions with bridged bis-aromatic ligands are disclosed that catalyze the polymerization of monomers into polymers. These catalysts with metal centers have high performance characteristics, including higher comonomer incorporation into ethylene/olefin copolymers, where such olefins are for example, 1-octene, propylene or styrene. The catalysts also polymerize propylene into isotactic polypropylene.

Abstract: Embodiments of the present invention include a polypropylene homopolymer synthesized from a metallocene catalyst system and methods of forming the homopolymer, the homopolymer having an aluminum and chlorine recoverables value of less than 25 ppm and a xylene solubles of less than 1 wt % relative to the total weight of the homopolymer. The resulting homopolymer has other desirable properties such as a heat deflection temperature at 0.45 MPa of from 90° C. to 110° C., and a MWD value of from 1.7 to 5.0. These properties make embodiments of the homopolymer desirable for films, and in particular for capacitor films.

Abstract: Provided is a bridged cyclopentadienyl-dicarbollide complex having the formula of {L[(Cp)(C2B9R110)]}MR in which Cp is an unsubstituted, alkyl-substituted, aryl-substituted or fused ring cyclopentadienyl, R1 is hydrogen, or alkyl, L is a bridging unit that bonds to both Cp ring and cage carbon atoms, R is alkyl, aryl or a derivative thereof and M is Ti, Zr or Hf. A process for preparing the complex disclosed herein is also provided.

Abstract: Ethylene propylene copolymers, substantially free of diene, are described. The copolymers will have a uniform distribution of both tacticity and comonomer between copolymer chains. Further, the copolymers will exhibit a statistically insignificant intramolecular difference of tacticity. The copolymers are made in the presence of a metallocene catalyst.

Abstract: A two-step catalyst preparation method is disclosed. First, a support is combined with an indenoindolyl Group 3-10 metal complex and a first activator comprising an alkyl alumoxane to give a supported complex. The supported complex is subsequently combined with a second activator comprising an ionic borate to produce a borate-treated supported complex. Activating indenoindolyl metal complexes in this sequence surprisingly provides an exceptional activity boost compared with other ways of activating them with either or both types of activators.

Abstract: A polymerisation catalyst comprising (1) a transition metal compound of Formula A, and optionally (2) an activating quantity of a Lewis acid activator. Z is a five-membered heterocyclic group containing at least one carbon atom, at least one nitrogen atom and at least one other hetero atom selected from nitrogen, sulphur and oxygen, the remaining atoms in the ring being nitrogen or carbon; M is a metal from Group 3 to 11 of the Periodic Table or a lanthanide metal; E1 and E2 are divalent groups from (i) aliphatic hydrocarbon, (ii) alicyclic hydrocarbon, (iii) aromatic hydrocarbon, (iv) alkyl substituted aromatic hydrocarbon (v) heterocyclic groups and (vi) heterosubstituted derivatives of groups (i) to (v); D1 and D2 are donor groups; X is an anionic group, L is a neutral donor group; n=m=zero or 1; y and z are zero or integers. The catalysts are useful for polymerising or oligomerising 1-olefins.

Abstract: Disclosed is a process for producing branched polymers including at least 50 mol % C3–C40 olefins. The process may include: (1) feeding a first catalyst, an activator, and one or more C2–C40 olefins into a first reaction zone at a temperature of greater than 70° C. and a residence time of 120 minutes or less to produce a product; (2) feeding the product a second catalyst, and an activator into a second reaction zone at a temperature of greater than 70° C., and a residence time of 120 minutes or less. One of the catalysts should be chosen to produce a polymer having a weight average molecular weight of 100,000 or less and a crystallinity of 20% or less. The other catalyst should be chosen to producing a polymer having a weight average molecular weight of 100,000 or less and a crystallinity of 20% or more.

Abstract: The present invention relates to a process for the production of a catalyst by reacting metal compounds with azo ligands, the catalyst, the use of this catalyst as a polymerization catalyst, a process for olefin (co)polymerization with the aid of these catalysts, reaction products of these catalysts with co-catalysts, the olefin (co)polymer, the use of this olefin (co)polymer for the production of molded parts and also molded parts produced from the olefin (co)catalyst.

Abstract: Catalyst compositions that are highly tolerant of catalyst poisons for use in addition polymerizations comprising a catalytic derivative of a Group 4 metal complex, a cocatalyst, and a Group 13 metal amide compound.

Abstract: A process for producing an olefin polymer with high polymerization activity without using an expensive co-catalyst or using a limited amount of the co-catalyst, more particularly a process for producing a high molecular weight (co)polymer with high polymerization activity even at a high polymerization temperature which is more practical. At least one olefin is polymerized by means of a polymerization catalyst comprising at least one transition metal compound selected from transition metal compounds which have a substituted indenyl group, represented by a certain specific chemical formula, and an organoaluminum compound represented by the formula Al(R)3.

Abstract: This invention relates to metallocene compounds represented by formula: wherein M is a group 3, 4, 5 or 6 transition metal atom, or a lanthanide metal atom, or actinide metal atom; E is a substituted or unsubstituted indenyl ligand that is bonded to Y through the two position of the indenyl ring; A is bonded to Y, and is a substituted or unsubstituted cyclopentadienyl ligand, a substituted or unsubstituted heterocyclopentadienyl ligand, a substituted or unsubstituted indenyl ligand, a substituted or unsubstituted heteroindenyl ligand, a substituted or unsubstituted fluorenyl ligand, a substituted or unsubstituted heterofluorenyl ligand, or other mono-anionic ligand, or A may, independently, be defined as E; Y is a phosphorus containing group that is bonded to both E and A, and is bonded via the phosphorus atom to E; and X are, independently, univalent anionic ligands, or both X are joined and bound to the metal atom to form a metallocycle ring, or both X join to form a chelating ligand, a diene ligand, o

Abstract: A crystalline higher ?-olefin polymer which is obtained from a C10 or more ?-olefin and satisfies either (1) the melting point (Tm) as measured with a differential scanning calorimeter (DSC) is 20 to 100° C. or (2) in an examination of spin-lattice relaxation time (T1) by solid NMR analysis, a single T1 is observed at the temperatures not lower than the melting point; and a process for producing the ?-olefin polymer with a specific metallocene catalyst. The crystalline higher ?-olefin polymer is excellent in low-temperature characteristics, rigidity, heat resistance, compatibility with lubricating oils, mixability with inorganic fillers, and secondary processability.

Abstract: A copolymer of ethylene and a higher alpha olefin, preferably 1-hexene, can be produced using an activated chromium containing catalyst system and a cocatalyst selected from the group consisting of trialkylboron, trialkylsiloxyalutninum, and a combination of trialkylboron and thalkylaluminum compounds. The polymerization process must be carefully controlled to produce a copolymer resin having an exceptionally broad molecular weight distribution, extremely high PENT ESCR values, and a natural branch profile that impacts branching preferably into the high molecular weight portion of the polymer. The resulting copolymer resin is especially useful in high stiffness pipe applications.

Abstract: A process for polymerizing ethylene comprising contacting under polymerization condition ethylene and optionally one or more olefins with a catalyst system obtainable by contacting: a bis amido compound of formula (I) wherein Y is Si, Ge and Sn; X is hydrogen, halogen or an hydrocarbon radical; R1, R2, R3, R4, R5 and R6, are hydrocarbon radical; Q is a neutral Lewis base; and m is 0–2; one or more boron activating cocatalysts and one or more aluminum alkyls or alumoxanes.

Abstract: A catalyst composition for polymerization of a conjugated diene or copolymerization of a conjugated diene and an aromatic vinyl compound, which comprises the following components: (A) a metallocene-type complex of a rare earth metal compound (samarium complex etc.), and (B) an ionic compound composed of a non-coordinate anion and a cation (triphenylcarbonium tetrakis(pentafluorophenyl)borate etc.) and/or an aluminoxane. The catalyst composition is useful for producing a polymer having a high cis-1,4-configuration content in the microstructure and a narrow molecular weight distribution.

Abstract: To develop a catalyst component for olefin polymerization, a metallocene catalyst for olefin polymerization and a process for the production of an olefin polymer capable of producing an olefin polymer having a high molecular weight and a high melting point which can be extruded or injection-molded in a high yield and a novel transition metal compound to be used in these catalyst components a catalyst component for olefin polymerization is made of a transition metal compound represented by formula (I) shown below; a metallocene catalyst for olefin polymerization comprises the catalyst component for olefin polymerization; and a process for the production of an olefin polymer is performed in the presence of the metallocene catalyst for olefin polymerization:

Abstract: Copolymerization of Ni(H) or Co(II) acenaphthene diimine complexes containing olefinic substituents on aryl groups in the presence of a free radical initiator results in polymerized late transition metal catalysts which can be used for olefin polymerization or oligomerization. These catalysts have high catalyst activity for olefin polymerization or oligomerization.

Abstract: The propylene polymer of the present invention satisfies (1) a 25° C. hexane soluble content (H25) of 0–80 wt %; and (2) either no melting temperature (Tm) measurable by differential scanning calorimetry (DSC), or a melting temperature (Tm) satisfying, if measurable by DSC, the following relationship: ?H?3×(Tm?120) wherein ?H is a melting endotherm (J/g). The propylene homopolymer of the present invention satisfies (1) a meso pentad fraction (mmmm) of 30–60 mol %; (2) a racemic pentad fraction (rrrr) satisfying the following relationship: [rrrr/(1?mmmm)]?0.1; (3) a fraction (W25) eluted at a temperatures up to 25° C. by temperature-programmed chromatography, of from 20–100 wt %; and, (4) a pentad fraction (rmrm) of more than 2.5 mol %. The propylene copolymer of the present invention satisfies (1) a stereoregularity index (P) of 55–90 mol % as determined by 13C-NMR measurement; and (2) a fraction (W25) eluted at a temperatures up to 25° C. by temperature-programmed chromatography, of from 20–100 wt %.