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Chain-axis invariant and chain-axis rotation twins in polymer crystals

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  • Polymer Science
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Summary

A detailed treatment is presented of the crystallography of twinning shears which cause the polymer chain axes in polymer crystals to be invariant or to be rotated but undistorted. These chain-axis invariant and rotation twins in polyethylene are considered in detail. The polyethylene twinning mode with twinning elements

$$\begin{gathered} K_1 = \{ 102\} ;\eta _1 = \left\langle {20\bar 1} \right\rangle ; K_2 = \{ 100\} ; \hfill \\ \eta _2 = \left\langle {001} \right\rangle and magnitude of shear{\mathbf{ }}g = 0.34 \hfill \\ \end{gathered} $$

is proposed as the twinning mode which is most likely to cause a marked chain axis rotation without causing a change in the orientation of theb axis and only a small change in thickness of crystalline lamellae. These are the requirements ofc-twinning which was used byPietralla (Colloid & Polymer Sci.254, 249–257 (1976) to explain some aspects of the orientation behaviour of polyethylene.

Zusammenfassung

Es wird eine umfassende Untersuchung über die Kristallographie der Zwillingsbildung in Polymerkristallen vorgelegt, bei der die Kettenmoleküle in ihrer Richtung ungeändert oder aber um diec-c-Bindung gedreht, jedoch unzerstört bleiben. Beide Zwillingsarten werden detailliert beschrieben. Für Polyäthylen wird der Zwillings-Mode mit den Elementen

$$\begin{gathered} K_1 = \{ 102\} ;\eta _1 = \left\langle {20\bar 1} \right\rangle ; K_2 = \{ 100\} ; \hfill \\ \eta _2 = \left\langle {001} \right\rangle und{\mathbf{ }}der{\mathbf{ }}Scherung{\mathbf{ }}g = 0.34 \hfill \\ \end{gathered} $$

als der wahrscheinlichste der zweiten Art vorgeschlagen. Er verursacht eine markante Kettendrehung um dieb-Achse. Deren Orientierung bleibt unbeeinflußt, und die Lamellendicke der Kristalle ändert sich nur wenig. Dies sind die Forderungen fürc-Zwillingsbildung, wie sie vonPietralla (Colloid & Polymer Sci.,254, 249–257 (1976)) benutzt wurden, um einige Aspekte des Orientierungsverhaltens von Polyäthylen zu erklären.

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Bevis, M. Chain-axis invariant and chain-axis rotation twins in polymer crystals. Colloid & Polymer Sci 256, 234–240 (1978). https://doi.org/10.1007/BF01550553

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