Oriented quiescent crystallization of polyethylene studied by USAXS. Part 2: The liquid scattering of stacks generated by random placement of lamellae

Macromolecular Chemistry and Physics

Volumn 205, Issue 11, 2004, Pages 1455-1462

  Stribeck, Norbert ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

Crystallization; Disorder; Lamellar; SAXS; Theory

Indexed keywords

CRYSTAL LATTICES; CRYSTALLIZATION; CRYSTALS; NANOSTRUCTURED MATERIALS; POLYNOMIALS; RANDOM PROCESSES; X RAY SCATTERING;

INTERFACE DISTRIBUTION FUNCTIONS; PACKING CORRELATION; RANDOM SEQUENTIAL ADSORPTION (RSA); STOCHASTIC NANOSTRUCTURES;

POLYETHYLENES;

POLYETHYLENE DERIVATIVE; POLYMER;

ARTICLE; COMPUTER SIMULATION; CORRELATION ANALYSIS; CRYSTALLIZATION; POLYMERIZATION; X RAY CRYSTALLOGRAPHY;

EID: 4644371569     PISSN: 10221352     EISSN: None     Source Type: Journal    
DOI: 10.1002/macp.200400035     Document Type: Article

References (37)

1. N. Stribeck, A. Almendarez Camarillo, S. Cunis, R. K. Bayer, R. Gehrke, Macromol. Chem. Phys. 2004, in press.
2. J. W. Evans, Rev. Mod. Phys. 1993, 65, 1281.
3. J. J. Hermans, Rec. Trav. Chim. Pays-Bas 1944, 63, 211.
4. R. Hosemann, Polymer 1962, 3, 349.
5. R. Hosemann, S. N. Bagchi, "Direct Analysis of Diffraction by Matter", North-Holland, Amsterdam 1962.
6. F. Zernike, J. A. Prins, Z. Phys. 1927, 41, 184.
7. P. Debye, H. Menke, Erg. techn. Röntgenkunde 1931, 2, 1.
8. G. Porod, Kolloid-Z. 1951, 124, 83.
9. R. Hosemann, Z. Phys. 1949, 127, 16.
10. R. Hosemann, Kolloid Z. 1984, 17, 13.
11. D. J. Kinning, E. L. Thomas, Macromolecules 1984, 17, 1712.
12. A. Santos, S. B. Yuste, M. López de Haro, J. Chem. Phys. 2002, 117, 5785.
13. T. Kamiyama, M. Sasaki, K. Suzuki, J. Appl. Cryst. 2000, 33, 447.
14. T. Kamiyama, K. Suzuki, J. Non-Cryst. Solids 1998, 232-234, 476.
15. D. Boyer, G. Tarjus, P. Viot, J. Chem. Phys. 1995, 103, 1607.
16. Y. Cohen, E. L. Thomas, J. Polym. Sci., Part B: Polym. Phys. 1987, B25, 1607.
17. J. K. Percus, G. J. Yevick, Phys. Rev. 1958, 110, 1.
18. B. Bonnier, D. Boyer, P. Viot, J. Phys. A 1994, 27, 3671.
19. P. Kumar, J. Inequal. Pure and Appl. Math. 2002, 3, art. 41.
20. N. Balakrishnan, S. S. Gupta, in: Handbook of Statistics, Volume 17, C. R. Balakrishnan, N. Rao, Eds. Elsevier, Amsterdam 1998, p. 25-59.
21. R. Aggarwala, N. Balakrishnan, Ann. Inst. Statist. Math. 1996, 48, 757.
22. P. Varghese, R. Braswell, B. Wang, C. Zhang, Comput. Aided Des. 1996, 28, 723.
23. A. Rényi, Publ. Math. Inst. Budapest 1958, 3, 109.
24. A. Rényi, Sel. Transl. Math. Stat. Prob. 1963, 4, 203.
25. E. Burgos, H. Bonadeo, J. Phys. A 1987, 20, 1193.
26. D. W. Deley, "How Computers Generate Random Numbers", http://homel.gte.net/deleyd/random/introduction. htm, 1991.
27. L. Sim, K. Nitschke, Austral. Phys. Eng. Sci. Med. 1993, 16, 22.
28. E. F. Carter, "Generating Gaussian Random Numbers", http://www.taygeta.com/random/gaussian.html.
29. G. E. P. Box, M. E. Muller, Annals Math. Stat. 1958, 29, 610.
30. W. Ruland, J. Appl. Cryst. 1971, 4, 70.
31. C. G. Vonk, J. Appl. Cryst. 1973, 6, 81.
32. H. G. Kilian, W. Wenig, J. Macromol. Sci.-Phys. 1974, B9, 463.
33. W. Ruland, Colloid Polym. Sci. 1977, 255, 417.
34. N. Stribeck, J. Appl. Cryst. 2001, 34, 496.
35. N. Stribeck, Colloid Polym. Sci. 2002, 280, 254.
36. N. Stribeck, A. Almendarez Camarillo, R. Bayer, Macromol. Chem. Phys. 2004, Submitted.
37. N. Stribeck, Colloid Polym. Sci. 1993, 271, 1007.