Abstract
The temperature dependences of the transverse expansion ɛ⊥(T) and the longitudinal contraction ɛ‖(T) (with respect to the axes of chain molecules) in large-sized poly(ethylene) (PE) crystal grains (100×60×60 nm) are measured using x-ray diffraction in the temperature range 5–380 K. The temperature dependence of the elongation of the molecular skeleton ɛC(T) is obtained by Raman spectroscopy. It is found that the dependences ɛ⊥(T), ɛ‖(T), and ɛC(T) exhibit a similar specific nonlinear behavior. Analysis of these dependences indicates that the nonlinearity is associated with the quantum statistics of transverse vibrations. The energies and amplitudes of zero-point (at T=0) transverse (torsional and bending) vibrations and the relevant zero-point components ɛ‖(0) and ɛC(0) are estimated. It is revealed that the zero-point components make a considerable contribution to the dynamics of the PE crystal up to the melting temperature (∼400 K).
Similar content being viewed by others
References
Yu. K. Godovskii, Thermal Physics of Polymers (Khimiya, Moscow, 1982).
I. M. Lifshitz, Zh. Éksp. Teor. Fiz. 22(4), 475 (1952).
F. C. Chen, C. L. Choy, and K. Young, J. Polym. Sci., Polym. Phys. Ed. 18, 2313 (1980).
F. C. Chen, C. L. Choy, S. P. Wang, and K. Young, J. Polym. Sci., Polym. Phys. Ed. 19, 971 (1980).
P. C. Painter, M. Coleman, and J. L. Koenig, The Theory of Vibrational Spectroscopy and Its Application to the Polymeric Materials (Wiley, New York, 1986).
S. V. Bronnikov, V. I. Vettegren, and S. Ya. Frenkel, Polym. Eng. Sci. 32, 1204 (1992).
V. I. Vettegren, L. S. Titenkov, and S. V. Bronnikov, J. Therm. Anal. 38, 1031 (1992).
R. P. Wool and R. S. Bretzlaff, J. Polym. Sci., Part B: Polym. Phys. 24, 1039 (1986).
D. T. Grubb and Z.-F. Li, Polymer 33, 2587 (1992).
R. J. Meier and H. Vansweefelt, Polymer 36, 3825 (1995).
K. Tashiro, G. Wu, and M. Kobayashi, Polymer 29, 1768 (1988).
L. Berger, Doct. Sci. Tech. These No. 1704 (EPFL, Lausanne, 1997).
I. Sakurada, T. Ito, and K. Nakamae, J. Polym. Sci., Part C: Polym. Symp. 15, 75 (1966).
G. J. Safford and A. W. Neumann, Adv. Polym. Sci. 5(1), 1 (1967).
K. Bann, Trans. Faraday Soc. 35, 482 (1939).
J. Frenkel, Kinetic Theory of Liquids (Clarendon, Oxford, 1946; Nauka, Leningrad, 1975).
J. M. Ziman, Principles of the Theory of Solids (Cambridge Univ. Press, Cambridge, 1964; Mir, Moscow, 1966).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Tverdogo Tela, Vol. 44, No. 10, 2002, pp. 1847–1854.
Original Russian Text Copyright © 2002 by Slutsker, Vettegren, Gilyarov, Dadobaev, Kulik, Titenkov.
Rights and permissions
About this article
Cite this article
Slutsker, A.I., Vettegren, V.I., Gilyarov, V.L. et al. Manifestation of quantum statistics in vibrational dynamics of poly(ethylene) crystals. Phys. Solid State 44, 1936–1943 (2002). https://doi.org/10.1134/1.1514784
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1514784