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Superellipsoids: A unified analytical description of the geometry of nanoscale second-phase particles of any shape
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10.1063/1.2357583
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    Affiliations:
    1 Institut für Materialphysik, Universität Münster, Wilhelm-Klemm-Strasse 10, 48149 Münster, Germany
    2 Institut für Medizinische Physik und Biophysik, Universitätsklinikum, Universität Münster, Robert-Koch-Strasse 31, 48149 Münster, Germany
    3 Institut für Materialphysik, Universität Münster, Wilhelm-Klemm-Strasse 10, 48149 Münster, Germany
    a) Permanent address: Department of Theoretical Physics, Cherkasy National University, Shevchenko Blvd. 81, 18031 Cherkasy, Ukraine.
    b) Permanent address: Faculty of Mathematics and Physics, Department of Metal Physics, Charles University, Ke Karlovu 5, 12116 Prague, Czech Republic.
    c) Author to whom correspondence should be addressed; electronic mail: nembach@nwz.uni-muenster.de
    Appl. Phys. Lett. 89, 133107 (2006); http://dx.doi.org/10.1063/1.2357583
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View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Superellipsoids, the half-axes and , and the exponents and are indicated. [(a) and (b)] Three-dimensional sketches, (c) cross section (edge-on view) through the centers of oblate superellipsoids, , the respective values of the parameter defined in Eq. (2a) are indicated.

Image of FIG. 2.
FIG. 2.

Transmission electron micrograph of plate-shaped precipitates of the phase in . The holes left behind by the etched away precipitates are viewed edge-on. The superellipses fitted to the larger/smaller precipitate are outlined: , , , and .

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/content/aip/journal/apl/89/13/10.1063/1.2357583
2006-09-26
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Superellipsoids: A unified analytical description of the geometry of nanoscale second-phase particles of any shape
http://aip.metastore.ingenta.com/content/aip/journal/apl/89/13/10.1063/1.2357583
10.1063/1.2357583
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