Study on the D<sub>2h</sub> superlattice pattern in dielectric barrier discharge
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Square (algebra)
We show that it is possible to control the gap between the minibands of a superlattice by introducing positive barriers in the wells of the superlattice. An appropriate choice of the position, the width, and the height of these barriers achieved by standard methods can reduce or even close the minigaps of the superlattice.
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In recent literatures, it has been presumed from the electric-resistance measurement, the magnetic analysis and the hardness measurement that in the alloy of the composition of atomic ratio 1:1 in Fe-Cr system, a superlattice would be formed, if the alloy is quenched from 1000° and annealed at 500° for a week followed by furnace-cooling.To ascertain this presumption an X-ray examination was performed. The specimen, which was heat-treated as described above, was X-rayed, Mn-K radiation being used to make the superlattice lines distinct.The diffraction pattern obtained shows no superlattice lines but only fundamental, where as it is predicted that the superlattice lines would be sufficiently strong to be detectable on the assumption of the superlattice of CsCl type. Therefore, it is concluded that the superlattice of a long range order is not present.
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The superlattice unit-cell structure factors are calculated for the trapeziform model, which may be used for the epitaxically prepared one-dimensional superlattice crystals if the interdiffusion is taken into account. The particular cases of this model are: (1) the rectangular model, which describes the superlattice if the interdiffusion is negligible; (2) the triangular model, which describes the superlattice if the interdiffusion takes place all over the layer thickness. The change of satellite intensities during the interdiffusion is discussed. The results obtained may be used to interpret the X-ray diffraction patterns produced by superlattices.
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Extremely high frequency
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On the basis of the film structure of a Pt/AlN multilayer film which exhibits a superlattice peak after annealing, a disc-shaped nanocrystal model is proposed for simulating the diffraction line profile from a one-dimensional superlattice. The proposed model demonstrates that a superlattice peak can arise even from just two disc-shaped nanocrystals and even with a large misorientation (a few degrees), provided both the thickness and the in-plane crystal size of the nanocrystals are of the order of nanometres. Using the model, the superlattice peaks from Pt/AlN superlattices are analysed quantitatively and the effect of annealing on the film is discussed.
Misorientation
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Some Symmetry Models for the Analysis of Collapsed Square Contingency Tables with Ordered Categories
Abtsrcat For the square contingency tables with ordered categories, there may be some cases that one wants to analyze them by considering collapsed tables with some adjacent categories combined in the original table. This paper considers some symmetry models for collapsed square contingency tables and proposes two new models which have the structure of global symmetry and that of quasi-symmetry for the collapsed square tables. Also this paper gives two kinds of decompositions of the symmetry model for collapsed square tables. The new models and decompositions are useful for analyzing the collapsed square tables. Examples are given.
Contingency table
Square (algebra)
Table (database)
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