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A superlattice is a periodic structure of layers of two (or more) materials. Typically, the thickness of one layer is several nanometers . It can also refer to a lower-dimensional structure such as an array of quantum dots or quantum wells .
[27] [30] Rutile is tetragonal and hematite is trigonal, but there are directions of similar spacing between the atoms in the plane of rutile (perpendicular to the a axis) and the plane of hematite (perpendicular to the c axis). In epitaxy these directions tend to line up with each other, resulting in the axis of the rutile overgrowth being ...
It occurs in III-V alloy when the cation planes take an alternate sequence of A-rich and B-rich plane following A x B 1−x C. The resulting structure is usually called as superlattice-like structure along [1-11] or [-111] – called (111) B plane, or along [-1-1-1] or [11-1] – called (111) A plane. The two ordering direction is thus called ...
In geometry, a hyperplane of an n-dimensional space V is a subspace of dimension n − 1, or equivalently, of codimension 1 in V.The space V may be a Euclidean space or more generally an affine space, or a vector space or a projective space, and the notion of hyperplane varies correspondingly since the definition of subspace differs in these settings; in all cases however, any hyperplane can ...
In crystallography, a lattice plane of a given Bravais lattice is any plane containing at least three noncollinear Bravais lattice points. Equivalently, a lattice plane is a plane whose intersections with the lattice (or any crystalline structure of that lattice) are periodic (i.e. are described by 2d Bravais lattices). [ 1 ]
In the current perpendicular to plane (CPP) configuration, the current is passed perpendicular to the layers, and the electrodes are located on different sides of the superlattice. [7] The CPP geometry results in more than twice higher GMR, but is more difficult to realize in practice than the CIP configuration.
Equivalently, (hkℓ) denotes a plane that intercepts the three points a 1 /h, a 2 /k, and a 3 /ℓ, or some multiple thereof. That is, the Miller indices are proportional to the inverses of the intercepts of the plane, in the basis of the lattice vectors. If one of the indices is zero, it means that the planes do not intersect that axis (the ...
The metric of the model on the half-plane, { , >}, is: = + ()where s measures the length along a (possibly curved) line. The straight lines in the hyperbolic plane (geodesics for this metric tensor, i.e., curves which minimize the distance) are represented in this model by circular arcs perpendicular to the x-axis (half-circles whose centers are on the x-axis) and straight vertical rays ...