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Analysis of left-censored longitudinal data with application by Jacqmin-Cadda H.

By Jacqmin-Cadda H.

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Tetragonal, cubic, hexagonal) that represent the placement of atoms. The atomic arrangement in the unit cell of a polymer is repeated millions of times in threedimensional space in forming the crystalline structure. [604, 782]. The polymer chain in polypropylene forms a helical arrangement, reminiscent of a winding staircase, as it crystallizes, due to the presence of the pendant methyl group. Polymers with closely spaced bulky groups form a helix in order to pack atoms closely together without distortion of the bonds along the chain.

Melting points are commonly measured using differential scanning calorimetry (DSC). [769, 772] The melting point of a polymer varies with the amount of crystallinity. 4 A differential scanning calorimetry (DSC) melting scan of injection molded polypropylene. In DSC, a polypropylene sample is heated, along with a reference material, and the energy required to maintain both materials at the same temperature is monitored as the surrounding temperature is increased. Heat is absorbed by polypropylene as it melts, resulting in an endothermic peak; the melting temperature given in the literature is the highest point of the peak.

Examples of lattice defects include atoms forced out of normal lattice or unit cell positions due to surrounding amorphous material, changes in polymer chain folding, the presence of atoms of foreign material in the lattice, and screw dislocations that disrupt the spherulite structure by initiating lamellar growth in an irregular location. Polymer chains have been shown to form helical structures, but the unit cell and lamellar structures have not yet been well resolved. Experiments indicate a lack of lamellar order in addition to a low density and small size of ordered structures.

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