orthorhombic structure Crystalline polyethylene (PE) can be achieved in two different forms. The more common is described by an orthorhombic structure having lattice parameters provided in the image, where the unit cell contains 4 Carbon and 8 Hydrogen atoms. The second form is monoclinic (see image), where a=0.809nm, b=0.253nm and c=0.479nm. In this variant, a=7.41 A b= 4.95 A c= 2.55 A the chains are aligned slightly askew but the unit cell also contains 4 Carbon and 8 Hydrogen, resulting in a higher density of 998.1 kg/m. O Hydrogen O Carbon a) Determine the angle beta (B) that is associated with the monoclinic form of crystalline polyethylene. b) Compare the Atomic Packing factor in the orthorhombic vs monoclinic forms. Present your answer in the form of a ratio of the APF's. C) Considering that the monoclinic structure occurs in 41% of the crystalline formations and orthorhombic exists in the other 59%: Determine the percent crystallinity (having mixed forms) present in HDPE ("high- density" PE) when assuming amorphous solid (zero crystallinity) has a density of 0.8672g/cm?, and demonstrating the theoretical density of the orthorhombic structure. Monoclinic structure

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orthorhombic structure
Crystalline polyethylene (PE) can be achieved in two
different forms. The more common is described by an
orthorhombic structure having lattice parameters
provided in the image, where the unit cell contains 4
Carbon and 8 Hydrogen atoms.
The second form is monoclinic (see image), where
a=0.809nm, b=0.253nm and c=0.479nm. In this variant,
a=7.41 A
b= 4.95 A
c= 2.55 A
the chains are aligned slightly askew but the unit cell
also contains 4 Carbon and 8 Hydrogen, resulting in a
higher density of 998.1 kg/m.
O Hydrogen
O Carbon
a) Determine the angle beta (B) that is
associated with the monoclinic form of crystalline polyethylene.
b) Compare the Atomic Packing factor in the orthorhombic vs
monoclinic forms. Present your answer in the form of a ratio of the APF's.
C) Considering that the monoclinic structure occurs in 41% of the
crystalline formations and orthorhombic exists in the other 59%: Determine
the percent crystallinity (having mixed forms) present in HDPE ("high-
density" PE) when assuming amorphous solid (zero crystallinity) has a
density of 0.8672g/cm?, and demonstrating the theoretical density of the
orthorhombic structure.
Monoclinic structure
Transcribed Image Text:orthorhombic structure Crystalline polyethylene (PE) can be achieved in two different forms. The more common is described by an orthorhombic structure having lattice parameters provided in the image, where the unit cell contains 4 Carbon and 8 Hydrogen atoms. The second form is monoclinic (see image), where a=0.809nm, b=0.253nm and c=0.479nm. In this variant, a=7.41 A b= 4.95 A c= 2.55 A the chains are aligned slightly askew but the unit cell also contains 4 Carbon and 8 Hydrogen, resulting in a higher density of 998.1 kg/m. O Hydrogen O Carbon a) Determine the angle beta (B) that is associated with the monoclinic form of crystalline polyethylene. b) Compare the Atomic Packing factor in the orthorhombic vs monoclinic forms. Present your answer in the form of a ratio of the APF's. C) Considering that the monoclinic structure occurs in 41% of the crystalline formations and orthorhombic exists in the other 59%: Determine the percent crystallinity (having mixed forms) present in HDPE ("high- density" PE) when assuming amorphous solid (zero crystallinity) has a density of 0.8672g/cm?, and demonstrating the theoretical density of the orthorhombic structure. Monoclinic structure
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