<b>The Effect of the Shape of Atomic Potential on the Diffraction Pattern of one Dimensional Quasicrystal Material</b>

Motivated by diffraction experiments on the 23×3R30∘ reconstructed Si(111) due to deposition of rare earth elements (Dy, Tb) and silicide formation we analyse the splitting and non-splitting of superstructure spots. For this purpose, we model diffraction patterns for one dimensional structures generated by the binary surface technique and use supercell models to keep the analysis simple. Diffraction pattern are calculated in the framework of the kinematical diffraction theory and they are analyzed as a function of the domains and domain boundaries. Basic properties of the diffraction pattern are analyzed for model systems of a two-fold and a three-fold periodicity. The rules derived from these calculations are applied to the "real-world" system of Si(111)-(23×3R30∘)-RESi2 (RE = Dy or Tb). Depending on the combination of domains and domain boundaries of different types a plethora of different features are observed in the diffraction patterns. These are analyzed to determine the sizes of both domain boundaries and domains from experimentally observed splitting of specific superstructure spots.

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Introduction to two-dimensional X-ray diffraction

Powder Diffraction ◽

10.1154/1.1577355 ◽

2003 ◽

Vol 18 (2) ◽

pp. 71-85 ◽

Cited By ~ 92

Author(s):

Bob Baoping He

Keyword(s):

Diffraction Pattern ◽

Diffraction Data ◽

Data Reduction ◽

Data Interpretation ◽

Phase Identification ◽

Two Dimensional ◽

X Ray Diffraction ◽

Texture Measurement ◽

One Dimensional ◽

X Ray

Two-dimensional X-ray diffraction refers to X-ray diffraction applications with two-dimensional detector and corresponding data reduction and analysis. The two-dimensional diffraction pattern contains far more information than a one-dimensional profile collected with the conventional diffractometer. In order to take advantage of two-dimensional diffraction, new theories and approaches are necessary to configure the two-dimensional X-ray diffraction system and to analyze the two-dimensional diffraction data. This paper is an introduction to some fundamentals about two-dimensional X-ray diffraction, such as geometry convention, diffraction data interpretation, and advantages of two-dimensional X-ray diffraction in various applications, including phase identification, stress, and texture measurement.

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Real time interferometric manipulation of a neutral atomic beam by electric field

Canadian Journal of Physics ◽

10.1139/p00-063 ◽

2000 ◽

Vol 78 (5-6) ◽

pp. 529-535

Author(s):

F Shimizu ◽

J Fujita ◽

S Mitake

Keyword(s):

Silicon Nitride ◽

Electric Field ◽

Diffraction Pattern ◽

Real Time ◽

Atomic Beam ◽

Nitride Film ◽

Silicon Nitride Film ◽

Platinum Electrodes ◽

Fraunhofer Diffraction ◽

One Dimensional

Electric-field-controlled holography for atoms is demonstrated. Platinum electrodes are deposited among the array of parallel slits that are made on a silicon nitride film. A cold neon atomic beam in the 1s3[2p5(2Po1/2)3s : J = 0] metastable state is sent through the film and form a Fraunhofer diffraction pattern on a microchannel plate detector that is placed in the downstream of the film. By controlling the potential of each electrode an arbitrary one-dimensional diffraction pattern of atoms has been generated.PACS No. 78.90

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Generation and experimental measurement of a one‐dimensional quasi‐crystal diffraction pattern

American Journal of Physics ◽

10.1119/1.15435 ◽

1988 ◽

Vol 56 (1) ◽

pp. 72-75 ◽

Cited By ~ 3

Author(s):

S. Y. Litvin ◽

A. B. Romberger ◽

D. B. Litvin

Keyword(s):

Diffraction Pattern ◽

Experimental Measurement ◽

One Dimensional

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A one-dimensional self-gravitating stellar gas

Symposium - International Astronomical Union ◽

10.1017/s0074180900105261 ◽

1966 ◽

Vol 25 ◽

pp. 46-48 ◽

Cited By ~ 2

Author(s):

M. Lecar

Keyword(s):

Gravitational Field ◽

Phase Space ◽

Motion Picture ◽

Space Distribution ◽

Two Dimensional ◽

One Dimensional ◽

Phase Space Distribution ◽

Dimensional Phase Space ◽

The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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