We consider a special case of the problem of computing the Galois group of a system of linear ordinary differential equations Y = M Y , M ∈ C(x) n×n . We assume that C is a computable, characteristic-zero, algebraically closed constant field with a factorization algorithm. There exists a decision pr
Oxidation of epitaxial Y(0 0 0 1) films
✍ Scribed by M. Ay; O. Hellwig; H.W. Becker; B. Hjörvarsson; H. Zabel
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 762 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0169-4332
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✦ Synopsis
We have investigated the oxidation behavior of MBE grown epitaxial Y(0 0 0 1)/Nb(1 1 0) films on sapphire ð1 1 2 0Þ substrates at elevated temperatures under atmospheric conditions with a combination of experimental methods. At room temperature X-ray diffraction (XRD) reveals the formation of a 25 A ˚thick YO x H x layer at the surface, while simultaneously oxide growth proceeds along defect lines normal to the film plane, resulting in the formation of a single crystalline cubic Y 2 O 3 (2 2 2) phase. Furthermore, nuclear resonance analysis (NRA) reveals that hydrogen penetrates into the sample and transforms the entire Y film into the hydride YH 2 phase. Additional annealing in air leads to further oxidation radially out from the already existing oxide channels. Finally material transport during oxidation results in the formation of conically shaped oxide precipitations at the surface above the oxide channels as observed by atomic force microscopy (AFM).
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