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(Color online) Reciprocal space geometry of an azimuthal RHEED experiment. During the sample rotation, the intensity is recorded in regular intervals along the recording line parallel to the sample surface, ideally through the specular spot. These lines can then be plotted as a function of azimuthal angle to construct the measured intensity in the reciprocal plane. The constructed plane shown as a horizontal disk is a planar cut of a large area of reciprocal space.

(Color online) Reciprocal space geometry of an azimuthal RHEED experiment. During the sample rotation, the intensity is recorded in regular intervals along the recording line parallel to the sample surface, ideally through the specular spot. These lines can then be plotted as a function of azimuthal angle to construct the measured intensity in the reciprocal plane. The constructed plane shown as a horizontal disk is a planar cut of a large area of reciprocal space.

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Article
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Azimuthal reflection high-energy electron diffraction (ARHEED) and in situ grazing incidence synchrotron x-ray diffraction techniques are employed to investigate the growth, epitaxial orientation, and interfacial structure of MnAs layers grown on GaAs(001) by molecular beam epitaxy (MBE). We demonstrate the power and reliability of ARHEED scans as...

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... by the formation of secondary defects that introduce additional planes into the coincidence lattice. 12 In this article, we present ARHEED patterns recorded while rotating the substrate about the surface normal during MnAs film growth. This technique allows us to construct a planar cut through reciprocal space parallel to the surface (see Fig. 1) and provides two-dimensional real time informa- tion on the nucleation and interface formation of the MnAs film. The technical details of this method are described in the following section. We then discuss the strain state of the film during growth of MnAs, followed by an analysis of the inter- facial structure along the c-axis ...
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... is similar to the diffrac- tion patterns recorded by low-energy electron diffraction (LEED) measurements, except that the LEED pattern is a spherical cut through reciprocal space, whereas our azi- muthal scans are planar. Such a planar cut of the reciprocal lattice plane, which can be measured by ARHEED, is illus- trated as a horizontal disk in Fig. 1. The x-ray diffraction profiles we compare with the RHEED data are measured in a grazing incidence-grazing exit geometry using 10 keV synchrotron x-rays. The high brilliance of the primary beam allows us to investigate very thin epitaxial layers starting from the monolayer thickness regime. ...
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... One such Gaussian fit to the (01) peak is shown as an inset. The resolution defined as the FWHM is much higher than in conventional RHEED; only about 15% less than the values of a corresponding x-ray measurement. The FWHM of the GaAs (220) substrate reflection measured in grazing incidence geometry is used here for comparison and is shown in Fig. 13(a). This very high longitudinal reso- lution is a result of the energy resolution of around DE=E ¼ 5 Â 10 À4 which is approximately the same in our system for x-ray diffraction 15 and RHEED. 19 For the high quality substrate used here, both values are still instrument- limited for the substrate reflections used for this ...
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... study the interfacial structure between MnAs and GaAs along the c-axis direction where the misfit is about 30%. An ARHEED scan from the sample (sample C) taken af- ter the growth is shown in Fig. 10. To study the interface by RHEED, we have grown an ultra-thin film having a thickness below 10 nm. The surface morphology studied by AFM (not shown) indicates the presence of well-developed islands which are not yet connected. The formation of epitaxial MnAs crystallites at such a low thickness is confirmed by the rectan- gular 2 Â 1 ...
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... The weak spots corresponding to the surface reconstruction are clearly visible; for example, see the spot at the midpoint of the line connecting the (00) and (01) observed for a layer thickness of more than $1.5 nm by the in situ GID as a result of high misfit. 14 The magnified (2 Â 1) reconstructed MnAs unit cell from the ARHEED scan is shown in Fig. 10(b). Due to the high resolution of ARHEED, we can resolve two orders of satellites associated with the (01) streak marked by black arrows in the image. This is even more evident in the line profiles extracted from the ARHEED scan which are shown in Fig. 11. The line profile taken along the MnAs [0001] direction at k ¼ 1 and drawn in Fig. ...
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... 14 The magnified (2 Â 1) reconstructed MnAs unit cell from the ARHEED scan is shown in Fig. 10(b). Due to the high resolution of ARHEED, we can resolve two orders of satellites associated with the (01) streak marked by black arrows in the image. This is even more evident in the line profiles extracted from the ARHEED scan which are shown in Fig. 11. The line profile taken along the MnAs [0001] direction at k ¼ 1 and drawn in Fig. 11(b) shows clear periodic satellites to the (01) RHEED spot, whereas in a similar line profile taken at k ¼ 0 through the ori- gin, no satellites are present. This means that the resolution on a line through the origin is insufficient to resolve these ...
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... in Fig. 10(b). Due to the high resolution of ARHEED, we can resolve two orders of satellites associated with the (01) streak marked by black arrows in the image. This is even more evident in the line profiles extracted from the ARHEED scan which are shown in Fig. 11. The line profile taken along the MnAs [0001] direction at k ¼ 1 and drawn in Fig. 11(b) shows clear periodic satellites to the (01) RHEED spot, whereas in a similar line profile taken at k ¼ 0 through the ori- gin, no satellites are present. This means that the resolution on a line through the origin is insufficient to resolve these satel- lites. In other words, by using conventional RHEED, it is impossible to resolve ...
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... taken at k ¼ 0 through the ori- gin, no satellites are present. This means that the resolution on a line through the origin is insufficient to resolve these satel- lites. In other words, by using conventional RHEED, it is impossible to resolve such fine periodic features. The line pro- file along the MnAs ½11 20Š direction at h ¼ 1 shown in Fig. 11(c) also does not show the presence of these satellites asso- ciated with the (10) reflection. It is worth mentioning that the resolution for the line profiles taken at k ¼ 1 and h ¼ 1 is the same. Hence, the splitting of only the (01) RHEED spot indi- cates a periodicity along the MnAs [0001] direction or along the c-axis of MnAs. The ...
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... satellites next to the (01) spot in ARHEED are seen at all temperatures within this range. Figure 10(c) shows the same area as in Fig. 10(b) recorded at 383 K, without the disappearance of the (01) streak. Therefore, we can rule out the possibility of the satellites being due to the strain-medi- ated coexistence of periodic domains of a and b MnAs near room temperature. ...
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... have performed ARHEED scans within a wide tem- perature range from 383 to 303 K, while cooling down the sample. The satellites next to the (01) spot in ARHEED are seen at all temperatures within this range. Figure 10(c) shows the same area as in Fig. 10(b) recorded at 383 K, without the disappearance of the (01) streak. Therefore, we can rule out the possibility of the satellites being due to the strain-medi- ated coexistence of periodic domains of a and b MnAs near room temperature. 26 Again, we emphasize the advantage of ARHEED scans over conventional RHEED, where it is practically ...
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... may appear. We have investigated the presence of different epitaxial orientations of the MnAs film grown on GaAs(001) using ARHEED. The sample used for this investigation was grown in slightly As- deficient conditions and the total thickness of the MnAs layer is estimated to be below 10 nm. An ARHEED scan of the MnAs surface is shown in Fig. 12. It clearly demonstrates the presence of both the A 0 and B 0 orientations of MnAs. The nomenclature of these orientations is in accordance with the report by Iikawa et al. 27 The unit cells of A 0 and B 0 ori- entation are rotated by 90 around the surface normal with respect to each other and marked in Fig. 12. The presence of both A ...
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... of the MnAs surface is shown in Fig. 12. It clearly demonstrates the presence of both the A 0 and B 0 orientations of MnAs. The nomenclature of these orientations is in accordance with the report by Iikawa et al. 27 The unit cells of A 0 and B 0 ori- entation are rotated by 90 around the surface normal with respect to each other and marked in Fig. 12. The presence of both A 0 and B 0 orientations is confirmed by grazing incidence x-ray diffraction measurements on the same sample shown in Fig. 13. The radial GID scans recorded along both the GaAs [110] and ½1 10Š directions show the pres- ence of the MnAs (11 20) reflections corresponding to the A 0 and B 0 orientations. The ...
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... these orientations is in accordance with the report by Iikawa et al. 27 The unit cells of A 0 and B 0 ori- entation are rotated by 90 around the surface normal with respect to each other and marked in Fig. 12. The presence of both A 0 and B 0 orientations is confirmed by grazing incidence x-ray diffraction measurements on the same sample shown in Fig. 13. The radial GID scans recorded along both the GaAs [110] and ½1 10Š directions show the pres- ence of the MnAs (11 20) reflections corresponding to the A 0 and B 0 orientations. The Gaussian fits to the ð11 20Þ peaks are shown as thick solid blue lines. We determine the relative ...

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Citations

... One collects 100 patterns covering 360 • to construct 3D reciprocal space structure. The application of substrate rotation and capture of RHEED patterns of reconstructed GaAs have been demonstrated by Braun et al. [47,48] and Satapathy et al. [49]. ...
... RHEED patterns acquired at different azimuths are utilized to map the reciprocal space structure of surfaces and monitor the growth of epitaxial thin films (Braun et al., 1998a;Satapathy et al., 2011). The entire reciprocal space structure of a 2D material can be obtained by rotating the sample around the surface normal and acquiring the RHEED patterns as a function of the azimuthal angle. ...
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Reflection high-energy electron diffraction (RHEED) is widely used to characterize surface structure of single crystals. Moreover, RHEED has become a standard tool to monitor thin film growth in molecular beam epitaxy and is used to monitor other vapor deposition techniques including evaporation, sputtering, and pulsed laser deposition. With the rapid development of the fabrication methods and use of nanoparticles, RHEED operating in the transmission mode is being applied to characterize nanoparticles on surfaces. In this review, the fundamentals needed to interpret RHEED patterns from the top few atomic layers, in its reflection mode, and from nanoparticles and nanofeatures, in its transmission mode, are discussed based on the geometric kinematic approximation. Examples are provided on the interpretation of RHEED patterns from unreconstructed and 2×1-reconstructed Si(100), InP(100), highly oriented pyrolytic graphite, indium nanoparticles, and indium growth on Si(100)-2×1.
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... The shown rectangle is slightly mismatched with the reflexes due to the wobble of the sample rotation during measurement of RHEED images. A more detailed description of this technique and clear polar plots of GaAs are presented in the works of Satapathy et al.68 and Braun et al. 67 ...
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... Previously, we reported an azimuthal reflection high-energy electron diffraction (RHEED) method that could tell the symmetry of graphene on both conductive and insulating substrates. 34 The principle for this azimuthal RHEED is similar to Satapathy's work. 35 In our previous report, 34 we described the concept, theory, and procedures of the method and tested the feasibility of this method with a commercial polycrystalline graphene sample. ...
... 34 The principle for this azimuthal RHEED is similar to Satapathy's work. 35 In our previous report, 34 we described the concept, theory, and procedures of the method and tested the feasibility of this method with a commercial polycrystalline graphene sample. Herein, we further explore this subject by verifying our theory with single crystalline graphene samples prepared in our laboratory. ...
... 52,53 Alternatively, we have reported that RHEED is capable of revealing the symmetry of the graphene structure as well by constructing the reciprocal space mapping of graphene. 34 For a singlecrystalline two-dimensional (2D) material, its reciprocal space structure consists of vertical rods. 54,55 Due to the relatively large wave vector of the electrons in RHEED, the Ewald sphere is large and cuts through the rods in the reciprocal space like a plane. ...
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