Radically Coupled Resins and Methods of Making and Using Same

An ethylene polymer having a level of short chain branching ranging from about 0 to about 10 mol. % and a level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS.

An ethylene polymer having a polydispersity index ranging from about 8 to about 25 and a level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS.

An ethylene polymer having a density less than about 0.95 g/ml;

• a length of short chain branching wherein less than about 10% of the short-chain branches are odd;
• and a level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS.

An ethylene polymer having a level of short chain branching ranging from about 0 to about 10 mol. %;

• a length of short chain branching wherein less than about 10% of the short-chain branches are odd;
• and a level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS.

An ethylene polymer having a density of greater than about 0.930 g/ml;

• an activation energy of from about 37 kJ mol−1 to about 55 kJ mol−1;
• and a level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS.

An ethylene polymer having a level of short chain branching ranging from about 0 to about 10 mol. %;

• an activation energy of from about 37 kJ mol−1 to about 55 kJ mol−1;
• and a level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS.

An ethylene polymer having a density greater than about 0.930 g/ml;

• and level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS wherein for a weight average molecular weight ranging from about 25 kDa to about 175 kDa, a value of Eta0 is less than y where y=2E09x2−1E+12x+6E13 and x is the weight-average molecular weight.

An ethylene polymer having a level of short chain branching ranging from about 0 to about 10 mol. %;

• and a level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS wherein for a weight average molecular weight ranging from about 25 kDa to about 175 kDa, a value of Eta0 is less than y where y=2E09x2−1E+12x+6E13 and x is the weight-average molecular weight.

An ethylene polymer having a level of short chain branching ranging from about 0 to about 10 mol. %;

• and a level of long chain branching ranging from about 0.001 LCB/103 carbons to about 1.5 LCB/103 carbons as determined by SEC-MALS wherein for a weight average molecular weight ranging from about 25 kDa to about 175 kDa, a value of Eta0 is less than y where y=2E09x2−1E+12x+6E13 and x is the weight-average molecular weight.

A method comprising:

• melt extruding a wax having a weight average molecular weight ranging from about 50 kDa to about 350 kDa in the presence of at least one coupling compound and an optional coagent wherein the coupling compound is a free radical initiator;
• and
• recovering a radically coupled resin.