Abstract
Eigenvectors of vibrating polyethylene chains with (200) and (110) folds have been calculated by solving the phonon-scattering problem exactly with the method of Green's function. The results are applied to analyze the resonance modes of the (200) fold (ggtgg: 1353, 1356, 1374 cm−1) and the (110) fold (approximately g′g′ggtg: 820, 1288, 1342, 1348, 1372, 1374 cm−1) in terms of the characteristic vibrations of smaller subunits of the (200) fold (gg, gtg) and the (110) fold (g′g′ggtg, g′g′gg, gtg) which can be identified spectroscopcally.
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Wolf S, Schmid C, Hägele PC (1990) Polymer 31:1222–1237
Hägele PC, Wolf S, Schmid C (1988) Phys Stat Sol (b) 149:521–532
Person WB, Zerbi G (1982) Vibrational Intensities in Infrared and Raman Spectroscopy, Elsevier Scientific Publishing Company, Amsterdam, Oxford, New York
Zerbi G, Gussoni M (1980) Polymer 21:1129–1134
Schmid C (1979) Coll and Pol Sci 257:561–583
Snyder RG (1967) J Chem Phys 47:1316–1360
Jona P, Gussoni M, Zerbi G (1985) J Mol Struct 199:329–345
Painter PC, Havens J, Hart WW, Koenig JL (1977) J Polym Sci 15:1223–1235
Spells SJ, Organ SJ, Keller A, Zerbi G (1987) Polymer 28:697–704
Ungar G, Organ SJ (1987) Polymer Commun 28:232–235
Schmid C, Hölzl K (1974) J Phys C: Solid State Phys 7:2970–2980
Wolf S (1989) thesis, Ulm
Maradudin AA, Montroll EW, Weiss GH, Ipatova IP (1971) Theory of Lattice Dynamics in the Harmonic Approximation, Academic Press, New York and London
Ludwig W (1964) In: Flügge S, Trendelenburg F (eds) Ergebnisse der exakten Naturwissenschaften Band 35, Springer-Verlag, Berlin, pp 1–102
Maradudin AA (1964) In: Bak TA (ed) Phonons and Phonon Interactions, W.A. Benjamin Inc., New York, pp 424–504
Painter PC, Coleman MM, Koenig JL (1982) The Theory of Vibrational Spectroscopy and its Application to Polymeric Materials. John Wiley & Sons, New York
Hölzl K, Schmid C, Hägele PC, (1978) J Phys C: Solid State Phys 11:9–33
Hägele PC, Hahn H, Michler E, Schmid C (1979) Progr Coll and Pol Sci 66:213–221
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Dedicated to Prof. Dr. W. Pechhold on the occasion of his 60th birthday
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Wolf, S., Hägele, P.C. & Schmid, C. Eigenvectors of the polyethylene chain with conformational defects calculated semianalytically by Green's function. Colloid Polym Sci 269, 364–374 (1991). https://doi.org/10.1007/BF00654583
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DOI: https://doi.org/10.1007/BF00654583