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3 9 Mouiiiq ToIvmds Rerrlitv: From Order to Disordrr 123<br />

I " ~ ' " " l " " l ' ' ' '<br />

I 1<br />

Figure 3-13. Inelastic neutron scat- 1 , , , , I , , , , I , , , I , , , ,<br />

teriiig (INS) spectrum of polyethyl- 0 1000 2000 3000 4000<br />

ene at 30 K (from [86]).<br />

wavenumbedcm -'<br />

The ideal infinite polymer chain iiz ziucuo has allowed to consti-uct dynamical<br />

theories which describe ideal spectroscopic properties of the polymer determined<br />

through strict optical selection rules and obtained by ideally clean experiments. In<br />

reality, polymerization reactions never yield perfect chemical linking and perfect<br />

stereo-regularity; these chemical and stereochemical defects necessarily introduce<br />

conformational distortions as to avoid steric encumbrance. Moreover, the complex<br />

processes of crystallization from melt or solution of a very long and flexible object<br />

implies the generation of various kinds of morphologies which reflect particular<br />

packing of 'conformationally' ordered chains. New concepts such as chain folding,<br />

looping, tie molecules, fringed micelles, etc., are necessarily introduced for the description<br />

of the building up of the supermolecular structure of a polymer chain. It<br />

follows that any polymer material which has been allowed to crystallize consists of<br />

a fraction of matter crystallized in a 3D-lattice and a fraction of 'conformationally<br />

irregular' material [46, 871.<br />

In polymer material science it is essential to know the detailed independent<br />

structural characteristics (and the relative concentrations) of the crystalline and<br />

'amorphous' (or irregular) fractions of a polymer sample. All mechanical, viscoelastic<br />

or, in general, the physical properties of real polymeric materials depend on<br />

the relative fraction of crystalline versus non crystalline material.<br />

Since the spectroscopic manifestations of molecular disorder are many and very<br />

characteristic, the vibrational spectrum has become a usefyl probe for molecular<br />

order-disorder which can be described at the level of a few Angstroms.<br />

<strong>Spect</strong>roscopists are asked to find ways to account for the new spectral features<br />

associated to disorder, thus making vibrational spectra useful for the practical<br />

structural characterization of a real polymer material. Obviously, the theories presented<br />

in the previous sections of this chapter must be adapted or re-worked in<br />

order to understand the spectra of disordered organic polymers.<br />

The prototypical case of an experimental observation to be accounted for is the<br />

spectrum of a sample of orthorhombic polyethylene [88] (Figure 3-14). Let us con-

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