An ethylene alpha-olefin copolymer having (a) a density of from about 0.910 g/cc to about 0.940 g/cc; (b) a weight average molecular weight of from about 150,000 g/mol to about 300,000 g/mol; and (c) a melt index at a load of 2.16 kg of from about 0.01 dg/10 min. to about 0.5 dg/min.; wherein a 1 mil blown film formed from the polymer composition is characterized by (i) a Dart Impact strength greater than about 175 g/mil; (ii) an Elmendorf machine direction tear strength greater than about 20 g/mil; and (iii) an Elmendorf transverse direction tear strength greater than about 475 g/mil.

An ethylene alpha-olefin copolymer having (a) a density of from about 0.910 g/cc to about 0.940 g/cc; (b) a weight average molecular weight of from about 150,000 g/mol to about 300,000 g/mol; and (c) a melt index at a load of 2.16 kg of from about 0.01 dg/10 min. to about 0.5 dg/min.; wherein a 1 mil blown film formed from the polymer composition is characterized by (i) a Dart Impact strength greater than about 175 g/mil; (ii) an Elmendorf machine direction tear strength greater than about 20 g/mil; and (iii) an Elmendorf transverse direction tear strength greater than about 475 g/mil.

The method for fabricating pattern of a cured product includes a first step (arranging step) of arranging a layer formed of a liquid film of a curable composition (α1) containing at least a component (A1) serving as a polymerizable compound on a substrate and a second step (dispensing step) of dispensing liquid droplets of a curable composition (α2) containing at least a component (A2) serving as a polymerizable compound discretely onto a layer formed of a composition (α1′) of components of the curable composition (α1) except a component (D1) serving as a solvent, in which: the mixing of the composition (α1′) and the curable composition (α2) is exothermic.

An ethylene alpha-olefin copolymer having (a) a density of from about 0.910 g/cc to about 0.940 g/cc; (b) a weight average molecular weight of from about 150,000 g/mol to about 300,000 g/mol; and (c) a melt index at a load of 2.16 kg of from about 0.01 dg/10 min. to about 0.5 dg/min.; wherein a 1 mil blown film formed from the polymer composition is characterized by (i) a Dart Impact strength greater than about 175 g/mil; (ii) an Elmendorf machine direction tear strength greater than about 20 g/mil; and (iii) an Elmendorf transverse direction tear strength greater than about 475 g/mil.

The method for fabricating pattern of a cured product includes a first step (arranging step) of arranging a layer formed of a liquid film of a curable composition (α1) containing at least a component (A1) serving as a polymerizable compound on a substrate and a second step (dispensing step) of dispensing liquid droplets of a curable composition (α2) containing at least a component (A2) serving as a polymerizable compound discretely onto a layer formed of a composition (α1′) of components of the curable composition (α1) except a component (D1) serving as a solvent, in which: the mixing of the composition (α1′) and the curable composition (α2) is exothermic.

An ethylene alpha-olefin copolymer having (a) a density of from about 0.910 g/cc to about 0.940 g/cc; (b) a weight average molecular weight of from about 150,000 g/mol to about 300,000 g/mol; and (c) a melt index at a load of 2.16 kg of from about 0.01 dg/10 min. to about 0.5 dg/min.; wherein a 1 mil blown film formed from the polymer composition is characterized by (i) a Dart Impact strength greater than about 175 g/mil; (ii) an Elmendorf machine direction tear strength greater than about 20 g/mil; and (iii) an Elmendorf transverse direction tear strength greater than about 475 g/mil.

An olefin polymer capable of simultaneously satisfying excellent drop impact strength and transparency, a preparation method of the same, and a film using the same, can be provided. In an embodiment, an olefin polymer comprises a plurality of polymer chains, and satisfies the following conditions: i) each polymer chain of the plurality having an average number of short chain branches (SCBs) per 1000 carbon atoms of 20/1000C or more, wherein an SCB has C2 to C7 carbon atoms, ii) a molded film of the olefin polymer having a drop impact strength of 1500 g to 2400 g as measured in accordance with ASTM D1709A, wherein the molded film having a thickness of 100 m, and iii) a molded film of the olefin polymer having a haze is 10% to 30% as measured in accordance with ASTM D1003, wherein the molded film having a thickness of 0.05 mm.

An olefin polymer capable of simultaneously satisfying excellent drop impact strength and transparency, a preparation method of the same, and a film using the same, can be provided. In an embodiment, an olefin polymer comprises a plurality of polymer chains, and satisfies the following conditions: i) each polymer chain of the plurality having an average number of short chain branches (SCBs) per 1000 carbon atoms of 20/1000C or more, wherein an SCB has C2 to C7 carbon atoms, ii) a molded film of the olefin polymer having a drop impact strength of 1500 g to 2400 g as measured in accordance with ASTM D1709A, wherein the molded film having a thickness of 100 m, and iii) a molded film of the olefin polymer having a haze is 10% to 30% as measured in accordance with ASTM D1003, wherein the molded film having a thickness of 0.05 mm.

Methods for simultaneously determining the concentrations of transition metal compounds in solutions containing two or more transition metal compounds are described. Polymerization reactor systems providing real-time monitoring and control of the concentrations of the transition metal components of a multicomponent catalyst system are disclosed, as well as methods for operating such polymerization reactor systems.

Methods for simultaneously determining the concentrations of transition metal compounds in solutions containing two or more transition metal compounds are described. Polymerization reactor systems providing real-time monitoring and control of the concentrations of the transition metal components of a multicomponent catalyst system are disclosed, as well as methods for operating such polymerization reactor systems.