Figure 1

(Color online) Sections through the center of the 3D complex density map passing through the (111) facet. The colors show the variation of the phase inside the nanocrystal, on the same scale, in the lower two panels. The arrow shows the direction of the (111) $\mathbf{Q}$ vector used for measuring the diffraction onto which the strain is projected. A 3D view of a single density contour (50% max) is superimposed to show the shape of the crystal. Note that the phase becomes very noisy outside the crystal, where the amplitude of the complex density function vanishes. (Top) Refraction phase only; calculated from the shape of the crystal. (Middle) Phase map before correction for refraction. (Bottom) Phase map after correction for refraction.Reuse & Permissions

Figure 2

(Color online) Line scans across the boundary of the crystal along the direction of the (111) facet (solid triangles) and across the spherical part of the surface in the vicinity of the facet, inclined at 20° (black circles). Three different azimuths are shown in the lower panel. (a) Amplitude of the complex density function, representing the electron density, showing a resolution-limited step-function shape. The flat facet results in the density dropping at smaller radius (vertical lines). (b) Phase, proportional to the lattice displacement, showing a divergence. The fit curve (red solid line) is an exponential with decay length of $90\mathrm{nm}$. The extremes of the fitting range are denoted by red dashed curves with decay lengths of 70 and $110\mathrm{nm}$.Reuse & Permissions