Herman’s orientation function (f) is defined as follows (37)Embedded Image(6)where 〈cos2θ〉 is the average value of the square of the cosine of the angle θ. Assuming rotational symmetry of the fiber axis, the following equation is obtainedEmbedded Image(7)where I(θ) is the intensity at θ in the azimuthal scan, collected from the SAXS data (figs. S10 and S12).

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