Application of paracrystalline lattice theory to the analysis of differential radial distribution function of amorphotized polyethylene

Abstract The structure of amorphotized polyethylene (APE) obtained by irradiation of branched PE was studied by means of differential radial distribution function (DRDF) analysis of its WAXS. The experimental DRDF shows intramolecular peaks at 1.5 and 2.5 A and intermolecular peaks at 5.3, 9.8, 14.7, 18.6 and 23.4 A The experimental DRDF was compared with a synthetic DRDF based on the application of paracrystalline lattice theory to a distorted hexagonal lattice. The synthetic DRDF with the best fit has lattice constants, a = 4.94 and c = 2.54 A, and the fluctuation parameters of g11 ≃ g12 ≅ 18%, g13 ≃ g31 ≅ g32 ≃ 6%, and g33 ≃ 10%. Our analysis suggests that a hexagonal lattice, albeit distorted, is still present in the amorphotized state of PE. The extent of lateral order is estimated to be about 50 A, as compared to about 30 A for molten PE.

[1]  G. Yeh,et al.  DRDF studies of glassy and partially crystalline poly(ethylene terephthalate) , 1978 .

[2]  G. Yeh,et al.  DRDF analysis of wide-angle x-ray scattering of natural rubber , 1978 .

[3]  G. Wignall,et al.  Investigation of short range ordering in polymers by means of radial distribution functions derived from X-ray diffraction , 1976 .

[4]  G. Wignall,et al.  Radial distribution functions from molten polyethylene by X-ray diffraction☆ , 1976 .

[5]  R. Hosemann,et al.  Paracrystalline microdomains in monatomic liquids. II. Three-dimensional structure of microdomains in liquid lead , 1976 .

[6]  G. Wignall,et al.  Investigation of short range ordering in polymers by means of radial distribution functions derived from X-ray diffraction , 1973 .

[7]  G. Willmann,et al.  Paracrystalline Structure of Molten Metals , 1972 .

[8]  J. Cohen,et al.  A structural study of glassy polystyrene , 1972 .

[9]  R. Olshansky.  CONTENT OF THE (3,3*) + (3*,3) MODEL IN THE POLE-DOMINANCE APPROXIMATION. , 1972 .

[10]  K. Lemm.  The Calcualtion of Liquid Structures by Paracrystalline Distortions , 1970 .

[11]  B. Warren,et al.  X-Ray Diffraction , 2014 .

[12]  William T. Simpson,et al.  Coherent X‐Ray Scattering for the Hydrogen Atom in the Hydrogen Molecule , 1965 .

[13]  R. Kaplow,et al.  Pair correlations in solid lead near the melting temperature , 1964 .

[14]  R. Hosemann,et al.  Direct analysis of diffraction by matter , 1962 .

[15]  A. Charlesby.  Atomic Radiation and Polymers , 1960 .

[16]  G. Vineyard,et al.  THE COMPLETE INCOHERENT SCATTERING FUNCTION FOR CARBON , 1956 .

[17]  C. Macgillavry,et al.  New calculations of atomic scattering factors , 1955 .