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Diameter (nm)

Figure 5 Dependence of the melting point and glass transition temperature (insert) on diameter for PE particles with a chain length of 100 beads.

bulk values and the yield point is much larger than the modulus. The stress-strain curve actually looks more like a curve for an elastomer. However, the initial deformation caused by the compression (that which gives the modulus) is not reversible (region A in Figure 7). What occurs during this phase is the deformation of a spherical particle to an oblate top. This structure is stable but it lies at a slightly higher energy than that for a spherical particle. Thus, the modulus for compression in this region is actually more a measure of the force required to deform the spherical polymer particle into an oblate top (pancake-like structure15) Further deformation tends to be reversible up to the point of rupture (region B in Figure 7). This deformation is actually more closely related to the bulk modulus since the stress is due to the cohesive energy and not a microstructure. This leads to a yield point that is significantly larger than the modulus. Table 4 shows the dependence of the mechanical properties of PE particles on size.

a)The modulus are calculated from the region of non-reversible and reversible deformation.(See Fig. 7, label A and B b)The strength are obtained at the point, M.

Figure 6 Dependence of the melting point and glass transition temperature (insert) on the chain length.

100 200 300

Chain lengths (number of beads)

Figure 6 Dependence of the melting point and glass transition temperature (insert) on the chain length.

Figure 7. Stress-strain behavior for the PE particle of 12000 atoms with a chain length of 100 beads. The yield paint is indicated at point M.. The region ofnon-reversible deformation caused by the compressionis labeled A the region ofreversible deformation is labeled B. The slopes calculated in the strain rage from 0 to 0,4.(region A) and from 0.86 to 0.97 (region B) are 111 MPaand 85 GPa, respectively.

Figure 7. Stress-strain behavior for the PE particle of 12000 atoms with a chain length of 100 beads. The yield paint is indicated at point M.. The region ofnon-reversible deformation caused by the compressionis labeled A the region ofreversible deformation is labeled B. The slopes calculated in the strain rage from 0 to 0,4.(region A) and from 0.86 to 0.97 (region B) are 111 MPaand 85 GPa, respectively.

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