Opening book details…
Can I read Zones and Sublattices of Integral Lattices on EtoBox?
Zones and Sublattices of Integral Lattices by A. Janner is a Materials Science article available to read on EtoBox.
What is Zones and Sublattices of Integral Lattices about?
Methods are presented for an analysis of zones and sublattices of integral lattices, whose relevance is revealed by sharp peaks in the frequency distribution of hexagonal and tetragonal lattices, as a function of the axial ratio caa. Starting from a few examples, zone symmetries, lattice±sublattice relations and integral scaling transformations are derived for hexagonal lattices with axial ratios 3 2 p , 3 p , 2 p and 1 (the isometric case) and for the related 3 p and 2 p tetragonal lattices. Sublattices and zones connected by linear rational transformations lead to rational equivalence classes of integral lattices. For properties like the axial ratio and the point-group symmetry (lattice holohedry), rational equivalence can be extended so that also metric tensors differing by an integral factor become equivalent. These two types of equivalence classes are determined for the lattices mentioned above.
Who reads Zones and Sublattices of Integral Lattices?
It is typically read by researchers, students, and practitioners in Materials Science.
- Author
- A. Janner
- Publisher
- International Union of Crystallography; International Union of Crystallography (IUCr) (ISSN 0108-7673)
- Published
- 2004
- Language
- EN
- Field
- Materials Science (Physical Sciences)