Kinetic and Strain-Induced Self-Organization of SiGe ...
Kinetic and Strain-Induced Self-Organization of SiGe ...
Kinetic and Strain-Induced Self-Organization of SiGe ...
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6 CHAPTER 1. SILICON-GERMANIUM MATERIAL SYSTEM<br />
{hkl} : For planes <strong>of</strong> equivalent symmetry – such as {100} st<strong>and</strong>s for (100), (010), (001),<br />
(100), (010), (001) in cubic symmetry.<br />
[hkl] : For a crystal direction, such as [100] for the x-axis-direction. Therefore the [hkl]-<br />
direction is perpendicular to the (hkl)-plane.<br />
〈hkl〉 : As for the planes for a full set <strong>of</strong> equivalent directions – such as 〈100〉 st<strong>and</strong>s for [100],<br />
[010], [001], [100], [010], [001].<br />
In Fig. 1.3 [2] there are some important planes in cubic crystals depicted. In a Si-crystal<br />
the {111}-surface is the energetically favored surface-plane.<br />
1.2 Vicinal Si(001)<br />
Generally Si-surfaces are never flat on a long scale. There are always steps even at nearly<br />
singular or low-index surfaces. These tilted surfaces are named ”vicinal” as the average<br />
surface orientation is usually close to the respective low-index surface <strong>and</strong> deviates only<br />
by a small miscut angles from the specific crystal-direction (Fig. 1.4). This is not always<br />
unwanted as a finite miscut provides several steps which enables ”step-flow” growth even<br />
at lower temperatures due to the large number <strong>of</strong> favored nucleation sites (”kinks”): the<br />
steps proceed by incorporation <strong>of</strong> adatoms at these kink sites along the step edges (red<br />
circle in Fig. 1.4) whereas on-terrace nucleation events are suppressed (blue circle in Fig. 1.4).<br />
Figure 1.4: Schematic visualization <strong>of</strong> vicinal Si(001) surface with a miscut angle<br />
between the nominal (001)-crystal direction <strong>and</strong> the average surface orientation.<br />
The high step-edge density <strong>of</strong>fers favored nucleation sites in form <strong>of</strong> steps <strong>and</strong><br />
”kinks” on steps.<br />
� Source: <strong>SiGe</strong> miscut.jpg