Producing polyolefin products with improved stiffness, toughness, and processability

A polymer, comprising ethylene and at least one alpha olefin having 4 carbon atoms, wherein the polymer has:

• a total haze of less than about 30% at 1 mil film gauge;
• an average modulus of greater than about 30,000 psi at 1 mil film gauge;
• a dart impact strength of greater than about 120 g for a 1 mil film;
• a melt index ratio (MIR) greater than about 25;
• and
• an Elmendorf machine direction tear of greater than about 170 g at 1 mil film gauge.

A polymer, comprising ethylene and at least one alpha olefin having 4 carbon atoms, wherein the polymer has:

• a value for melt index ratio (MIR) of between about 25 and about 35;
• a value for Mw1/Mw2 of at least about 2.0, wherein Mw1/Mw2 is a ratio of a weight average molecular weight (Mw) for a first half of a temperature rising elution (TREF) curve to a Mw for a second half of the TREF curve;
• and
• a value for Tw1−Tw2 of less than about −15° C., wherein Tw1−Tw2 is a difference of a weight average elution temperature (Tw) for the first half of the TREF curve to a Tw for the second half of the TREF curve.