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Magnetic Oxide Heterostructures: EuO on Cubic Oxides ... - JuSER

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3.2. In situ characterization techniques 39<br />

reciprocal<br />

rods<br />

RHEED<br />

screen<br />

l<br />

pattern<br />

part of the<br />

Ewald sphere<br />

incident<br />

e − beam<br />

sample<br />

beam<br />

Figure 3.3.: RHEED working principle.<br />

parameter (k =2π/d, for cubic lattices), the intersection between both is not very sharp and<br />

the diffraction condition<br />

k − k 0 = G ‖ (hkl) (3.4)<br />

is fulfilled over a range of vertical angles θ. This leads to streaks instead of points on the<br />

fluorescence screen. Based on the Bragg equation nλ =2d sinφ, the in-plane cubic lattice<br />

parameter d can easily be extracted from the distance l between two reciprocal streaks, 129<br />

d =2λ· L<br />

l<br />

L: distance sample–screen l: distance between neighboring rods,<br />

with λ = λ e−<br />

deBroglie = hc<br />

√<br />

Ekin (2E0 e− + E kin)<br />

E kin =10 keV<br />

= 0.12 Å.<br />

If the sample surface is flat on an atomic scale, the diffraction pattern consists of well-defined<br />

parallel lines. If the surface structure is three-dimensional due to island growth, these parallel<br />

lines shorten to elongated dots, and many orders of these dots are observable. If, however,<br />

an extremely flat and ideal surface is probed (e. g. flashed Si under best UHV condition) and<br />

Figure 3.4.: Illustration of layer-by-layer growth<br />

observed by high-energy electron diffraction<br />

(RHEED).<br />

A maximum reflection of the specular RHEED<br />

spot occurs for an atomically flat surface (i),<br />

whereas the intensity is damped when deposition<br />

has reached half a monolayer (ii). Once the<br />

deposition of a monolayer is completed (iii), the<br />

maximum reflection is observed again. 223

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