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The bottom row shows the error in the planar strain at each lattice point measured from these images Fig. 9 The error in the measured surface relaxations averaged across the facets as a function of tilt, around the axes (a) (Omega _1) and (b) (Omega _2).
The tilt has a relatively limited impact on the measured surface relaxations.
One other tilt directions is included as Additional file 1: Figure S6. Figure 9 shows the effects of tilt on the errors in the measured surface relaxations for a defocus (Delta f = 8.5) nm.
However, we observe that if the defocus is small enough, the errors in the measured surface relaxations due to image aberrations can be kept at less than 2%, even for visually obvious tilts.
Fig. 7 The error in the measured surface relaxations averaged across the facets as a function of defocus, for the three particle sizes given in the legend, for: a the {111} facets and b the {100} facets.
The error in the measured surface relaxations averaged across the facets for the uppermost atomic layers is shown as a function of defocus in Fig. 7. Since this error can vary quite a bit across the {111} facets, we also show the corresponding standard deviation.
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This investigation was done before the invention of the spherical aberration corrector, which today has made it feasible to measure surface relaxations on the order of a few percent.
The residual-stresses in a peened bulk-metallic glass (BMG) (Zr50Cu40Al10, in atomic per cent) are estimated using finite-element analysis of the surface relaxations, as measured by digital image correlation analysis from field-emission gun scanning electron microscopy images, which occur when a micro-slot is stepwise micro-machined by focused ion beam.
The average strain measured from HR-TEM is 0.016, but this value has to be corrected for surface relaxation effects: the strain before thinning is numerically estimated to be 10%to20%0% larger [14].
They are relaxed in order to equilibrate their surfaces; slight surface relaxation, but no reconstruction of the surface was observed.
This process could be counteracted by surface relaxation processes.
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