Abstract
By assuming the probability of the rotational transition of polyethylene molecules in the crystal by about 90°C around their chain axes, the average structure factor for X-ray diffraction was formulated. According to the formulas, the intensities of hkl reflections with h+k=even are independent of the transition, whereas those of reflections with h+k=odd are decreased with the increasing fraction of rotated molecular chains. By analyzing the intensities of X-ray diffractions from single crystals and the bulk-crystallized sample at various temperatures, it was found that the molecular chains in such crystals showed an increasing tendency to be transformed from the normal orientation of the molecular zigzag plane to the abnormal orientation with increasing temperature above 0°C. The latter fraction amounted to 5% in the crystal at 120°C.
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M. Takayanagi and T. Matsuo, J. Macromol. Sci., B1, 407 (1967).
S. Manabe, A. Sakoda, A. Katada, and M. Takayanagi, J. Macromol. Sci., B4, 161 (1970).
A. Odajima, A. E. Woodward, and J. A. Sauer, J. Phys. Chem., 66, 718 (1962).
S. Iwayanagi and I. Miura, J. Appl. Phys. Jpn., 4, 94 (1965).
K. Iohara, K. Imada, and M. Takayanagi, Rep. Prog. Polym. Phys. Jpn., 12, 183 (1969).
Y. Aoki, A. Chiba, and M. Kaneko, J. Phys. Soc. Jpn., 27, 1579 (1969).
K. Iohara, K. Imada, and M. Takayanagi, Polym. J., 3, 357 (1972).
C. W. Bunn, Trans. Faraday Soc., 35, 482 (1939).
H. G. Kilian, Kolloid Z. Z. Polym., 183, 1 (1962).
H. G. Kilian, Kolloid Z. Z. Polym., 185, 13 (1962).
N. Kasai and M. Kakudo, Rep. Prog. Polym. Phys. Jpn., 11, 145 (1968).
S. Kavesh and J. M. Schultz, J. Polym. Sci., Part A-2, 8, 243 (1970).
T. Kitagawa and T. Miyazawa, Rep. Prog. Polym. Phys. Jpn., 11, 219 (1968).
A. Peterlin and E. W. Fischer, Z. Phys., 159, 272 (1961).
A. Peterlin, E. W. Fischer, and Chr. Reinhold, J. Chem. Phys., 37, 1403 (1962).
K. Okano, Rikagaku Kenkyusho Hokoku (Rept. Inst. Phys. Chem. Res.), 40, 295 (1964).
Y. Wada and R. Hayakawa in “Progress in Polymer Science, Japan,” Vol. 3, S. Okamura and M. Takayanagi, Ed., Kodansha, Tokyo, 1972, p 215.
P. E. McMahon, R. L. McCullough, and A. A. Schlegel, J. Appl. Phys., 38, 4123 (1967).
R. L. McCullough and P. H. Lindenmeyer, General Lecture presented at Int. Conf. Mech. Behavior of Materials, Kyoto, Aug. 1971.
“X-sen Kesshogaku (X-ray Crystallography),” Vol. II, Y. Nitta, Ed., Maruzen Co., Ltd., Tokyo, 1961, Chapter 4.
“X-sen Kesshogaku (X-ray Crystallography),” Vol. II, Y. Nitta, Ed., Maruzen Co., Ltd., Tokyo, 1961, Chapter 3.
K. Iohara, K. Imada, and M. Takayanagi, Polym. J., in press.
K. Iohara, K. Imada, and M. Takayanagi, unpublished work.
A. Müller, Proc. Roy. Soc., A127, 417 (1930).
A. Müller, Proc. Roy. Soc., A138, 514 (1932).
T. Oyama, presented at Microsymposium on Crystal Defect of Polymer Crystal, Fukuoka, Feb. 1972.
M. Takayanagi, Kogyo Kagaku Zasshi (J. Chem. Soc. Japan, Ind. Chem. Sect.), 73, 1277 (1970).
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Iohara, Ki., Imada, K. & Takayanagi, M. X-Ray Studies on Rotational Transition of Molecular Chains in Polyethylene Crystal. Polym J 4, 232–238 (1973). https://doi.org/10.1295/polymj.4.232
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DOI: https://doi.org/10.1295/polymj.4.232