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absorption bands absorption intensity absorption spectrum amorphous angle axial orientation calculated CH2 group chain axis chain molecules Chapter Chem cm-1 region components consider corresponding cosets coupled oscillators crystalline determined dichroism dipoles direction discussed distribution function draw ratio electric vector end groups equation example expected factor group film finite fixed ends force constants free ends frequency branches given group representations group vibrations infrared infrared-active intensity ellipsoid interaction irreducible representations isotactic Krimm Liang line group linear matrix measurements methyl molecular normal vibrations number of normal obtained one-dimensional optical orientation parameter oriented sample perpendicular Phys planar orientation planar zig-zag chain plane point group point masses polarization polyethylene polymer chain Polymer Sci radiation Raman Raman-active repeat unit respectively rotation Section selection rules shown in Fig sin2 space group spectra splitting stretching vibrations symmetry elements symmetry operation symmetry type tion totally symmetric transition translation group unit cell values wavelength