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Finally, the influence of grain environment on lattice rotation is examined by means of the rotation "variability at constant orientation".
The introduction of local grain interactions, which produce a rotation variability at constant orientation, is shown to weaken texture development.
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This rotational variability may explain the apparent ∼15° rotation of the AAA-2 wild-type ring relative to the mutants observed in the symmetrised reconstructions.
Hence, we speculate that there exists a relationship between the differential rotation and TSI variability.
In the case of magnetic field inclined to the stellar rotation axis, resulting variability may be of the order of 1%.
These differences might be explained by the fact that there is more variability in rotation during abduction compared to anteflexion.
This estimate assumes that the probability of capturing a Bragg event through scanning is uncorrelated, which may not be the case, and also does not include shot noise etc. Sample rotation could change the variability and perhaps make the 'Bragg' condition more likely.
Specifically, large off-diagonal elements correspond to a highly concentrated distribution of axes of random infinitesimal rotations which causes large variability in the angular uncertainties of surface points.
For the 3D frames, the variability in rotations is less evident when compared to the 2D frames.
The considered types of variability are rotations of terminal hydrogen atoms, potential side-chain flips for specific residues, alternative tautomeric forms, different protonation states, and alternative orientations of water molecules.
As the mixed mode data we analyze here are poorly described by the assumption of normality, each variable was centered on the median and scaled by percentile variability prior to rotation.
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