Partial order among the 14 Bravais types of lattices: basics and applications
| Autor: | Hans Grimmer |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Phase transition
Pure mathematics translationengleiche subgroups Condensed Matter Physics computer.software_genre Research Papers Biochemistry phase transitions Inorganic Chemistry Structural Biology Lattice (order) Bravais lattice General Materials Science Data mining Physical and Theoretical Chemistry computer Bravais lattices Mathematics |
| Zdroj: | Acta Crystallographica. Section A, Foundations and Advances |
| ISSN: | 2053-2733 |
| DOI: | 10.1107/s2053273314027351 |
| Popis: | The partial order among Bravais types of lattices obtained by considering special cases is derived from their space-group symmetry and applied to continuous equi-translation phase transitions. Neither International Tables for Crystallography (ITC) nor available crystallography textbooks state explicitly which of the 14 Bravais types of lattices are special cases of others, although ITC contains the information necessary to derive the result in two ways, considering either the symmetry or metric properties of the lattices. The first approach is presented here for the first time, the second has been given by Michael Klemm in 1982. Metric relations between conventional bases of special and general lattice types are tabulated and applied to continuous equi-translation phase transitions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Plný text