Propylene/alpha-olefin block interpolymers

1. A composition comprising at least one propylene/ethylene block interpolymer comprising two or more substantially homogeneous intramolecular blocks comprising differing chemical or physical properties and having a difference in mole percent ethylene content, said intramolecular blocks characterized by possessing a most probable molecular weight distribution, wherein the propylene/ethylene block interpolymer is characterized by a molecular weight distribution, M w /M n , in the range of from about 1.4 to about 2.8 and by an average block index greater than zero and up to about 1.0; wherein the propylene/ethylene block interpolymer is mesophase separated; and,

wherein the difference in mole percent ethylene content between the intramolecular blocks, Δ(percent comonomer), is calculated according to the following equation:

Δ(percent comonomer)≧ A /( Mn ) 0.5

wherein Mn is the number average molecular weight of all molecules in units of g/mole and A is greater than or equal to about 9187.

2. The propylene/ethylene block interpolymer of claim 1 wherein the propylene/ethylene block copolymer comprises domains wherein the domains have a smallest dimension in the range of from about 40 nm to about 300 nm.

3. The propylene/ethylene block interpolymer of claim 1 wherein the propylene/ethylene block interpolymer has been compression molded.

4. The propylene/ethylene block interpolymer claim 1 wherein the propylene/ethylene block interpolymer comprises domains wherein the domains have a smallest dimension that is greater than about 60 nm.

5. The propylene/ethylene block interpolymer of claim 1 wherein the propylene/ethylene block interpolymer has a molecular weight greater than about 250 g/mol.

6. The propylene/ethylene block interpolymer of claim 1 , wherein the interpolymer has a density in the range from about 0.86 g/cc to about 0.91 g/cc.

7. The propylene/ethylene block interpolymer of claim 1 , wherein the Mw/Mn is greater than about 1.5.

8. The propylene/ethylene interpolymer of claim 1 , wherein the propylene/ethylene interpolymer is characterized by at least one melting point, Tm, in degrees Celsius, and a comonomer content, in weight %, wherein the numerical values of Tm and α-olefin correspond to the relationship:

T m >−2.909 (wt % α-olefin)+141.57.

9. The propylene/ethylene block interpolymer of claim 1 characterized by having at least one fraction obtained by Temperature Rising Elution Fractionation (“TREF”), wherein the fraction has a block index greater than about 0.3 and up to about 1.0 and the propylene/ethylene block interpolymer has a molecular weight distribution, M w /M n , greater than about 1.4.

10. The propylene/ethylene block interpolymer of claim 1 , wherein the propylene content is greater than about 50 mole percent.

11. An article comprising the block interpolymer of claim 1 .

12. The article of claim 11 wherein the article comprises a film, a molded article, jewelry, a toy, an optical article, a decorative article or a combination thereof.

13. A composition comprising at least one propylene/octene block interpolymer comprising two or more substantially homogeneous intramolecular blocks comprising differing chemical or physical properties and having a difference in mole percent octene content, said intramolecular blocks characterized by possessing a most probable molecular weight distribution, wherein the propylene/octene block interpolymer is characterized by a molecular weight distribution, M w /M n , in the range of from about 1.4 to about 2.8 and by an average block index greater than zero and up to about 1.0; wherein the propylene/octene block interpolymer is mesophase separated; and,

wherein the difference in mole percent octene content between the intramolecular blocks, Δ(percent comonomer), is calculated according to the following equation:

Δ(percent comonomer)≧ A /( Mn ) 0.5

wherein Mn is the number average molecular weight of all molecules in units of g/mole and A is greater than or equal to about 8915.

14. A composition comprising at least one propylene/α-olefin block interpolymer comprising two or more substantially homogeneous intramolecular blocks comprising differing chemical or physical properties and having a difference in mole percent α-olefin content, said intramolecular blocks characterized by possessing a most probable molecular weight distribution, wherein the propylene/α-olefin block interpolymer is characterized by a molecular weight distribution, M w /M n , in the range of from about 1.4 to about 2.8 and by an average block index greater than zero and up to about 1.0; the propylene/α-olefin block interpolymer is mesophase separated wherein the α-olefin is octene and the difference in mole percent α-olefin content between the intramolecular blocks is greater than or equal to about 17.2 mole percent.

15. A composition comprising at least one propylene/α-olefin block interpolymer comprising two or more substantially homogeneous intramolecular blocks comprising differing chemical or physical properties and having a difference in mole percent α-olefin content, said intramolecular blocks characterized by possessing a most probable molecular weight distribution, wherein the propylene/α-olefin block interpolymer is characterized by a molecular weight distribution, M w /M n , in the range of from about 1.4 to about 2.8 and by an average block index greater than zero and up to about 1.0; wherein the propylene/α-olefin block interpolymer is mesophase separated; and, wherein the α-olefin is ethylene and the difference in mole percent α-olefin content between the intramolecular blocks is greater than or equal to about 17.7 mole percent.