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3.13 Defect Mo&s cis Structurcil Probe5 iii Poljwietliylene Cliaiiis 143<br />

3.13.2 Conformational Defects<br />

The study of the conformational defects in polymethylene chains has been tackled<br />

some time ago in a systematic way by the school of Snyder by norinal inode analysis<br />

of short-chain molecules (see, for exainplc (1041) and by our group at Milano<br />

using NET [95. 1011. The results by both techniques are very similar. In the previous<br />

discussion in Figure 3-14 we have pointed out that a few peaks in the calculated<br />

g( 1’) for infinite tims polyethylene do not find corresponding infrared and/or<br />

Ranian lines to be assigned to k = 0 motions. These additional experimental peaks<br />

are just an evidence of the existence of extra structures which we can identify as<br />

conformational defects using the theory we are presently discussing.<br />

The main characteristic defect modes calculated (and observed) for tram planar<br />

segments are the following:<br />

1. GG defect. The wagging vibration of a CH2 group located between two adjacent<br />

grrirclie conformations -CH-,(G)-CH?(G)-CH-,- wagging. The calculated (and<br />

observed) frequency lies near 1355 cin-’.<br />

2. GTG‘ defect. CH2 wagging. -CH2(G)-CH,(T)-CH-,(G’)-. This defect introduces<br />

two wagging modes because the two CH2 groups are joined by a bond in<br />

traizs conformation and are partly decoupled from the host lattice by the gauche<br />

bonds. The intra-defect coupling generates out-of-phase and in-phase modes<br />

calculated (and observed) near 1375 and 1306 c1ii-I.<br />

3. GGTGG dc+x-t. This defect is the one which possibly exists on the surface of the<br />

single crystal lainellae of polyeythylene if the chain re-entry forins a tight fold<br />

along the [200] crystallographic plane [ 1051. This defect generates practically the<br />

three lines expected for GG and GTG’ defect in the CH-, wagging region and an<br />

additional quasi out-of band mode (near 714 cm-I) just outside the k = 0 limiting<br />

rocking mode of the CH2 group [99].<br />

4. Heud-to-hecicl defects of the type. -RCH-CH-,-CH-,-RCH-. The CH2 rocking<br />

mode of a sequence of two CH-, groups between two heavy boundaries is calculated<br />

and observed near 850 cm-’ in agreement with empirical correlations<br />

derived from the study of ethylene-propylene copolymers [ 1061.<br />

5. Clzaivi end modes it2 pi-alkyl clznins. When the group -CH-,-CH>-CHl-CH3 in<br />

such chains has TTT conformation, the methyl ‘umbrella deformation’ iU) is<br />

calculated and observed near 1375 c1n-l and the external deforniation mode 6<br />

CH3 occurs near 890 cm-’. According to the previous discussion in this chapter<br />

both motions should be considered end-group modes whose frequency should<br />

remain constant when the length of the chain increases. This is indeed the case if<br />

the chains keep the all-trams structure. However, since both motions occur in a<br />

frequency range spanned by the dispersion cui-ves of the 1D lattice they couple<br />

with the vibrations of the bulk and their coupling extends for a few CH2 units<br />

along the chain. If the conformation of the chains near the ends changes, such<br />

intramolecular coupling changes and the frequencies of the ‘end groups’ may<br />

change. Table 3-2 reports the values of the calculated and observed frequencies<br />

when chain ends are conformationally distorted in the TG and GT conformations.

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