A model relating diameters of atoms in non-spherical voids to unit-cell dimensions, applied to phases with the A15 and Cu2Mg structures
- 27 September 1982
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine A
- Vol. 46 (3) , 379-385
- https://doi.org/10.1080/01418618208239565
Abstract
A model is described which relates the diameters of atoms located in non-spherical voids to the unit-cell dimensions. It is applied to binary intermetallic phases with the tetrahedrally close-packed A15 and Cu2Mg type structures. It treats situations in which several different interatomic distances from an atom to its neighbours in the surrounding Coordination polyhedron act together in controlling the cell dimension(s). The model derives its parameters from observed cell dimensions, but is then able to reproduce them effectively in terms of atomic diameters determined from elemental structures. Since it involves independent elemental atomic diameters, it provides a mechanism by which contacts between different atoms at different distances combine together to control the unit-cell dimensions. Examples of its application are given.Keywords
This publication has 12 references indexed in Scilit:
- The calculations of cell dimensions of stoichiometric phases and binary and ternary solid solutions with the A15 structureJournal of Physics and Chemistry of Solids, 1982
- Dimensional analysis of phases with the A15 structure: Further considerationsJournal of the Less Common Metals, 1981
- Unit-cell dimensions of phases that are formed by calcium, strontium and barium or scandium, yttrium and lanthanum with other elementsJournal of the Less Common Metals, 1981
- Dimensional analysis of Laves phases: phases with the MgCu2 structureActa Crystallographica Section B: Structural Science, Crystal Engineering and Materials, 1981
- Structure relationships affecting the stability ofA15- and Ti3P-type compoundsJournal of Solid State Chemistry, 1981
- On the prediction of order in the σ phases on the basis of a sphere-packing modelActa Crystallographica Section A, 1981
- Dimensional analysis of phases with the A15 β-W structureJournal of the Less Common Metals, 1981
- Dimensional analysis of the crustal structures of intermetallic phasesPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1980
- A set of effective metallic radii for use in compounds with the β-wolfram structureActa Crystallographica, 1957
- A set of effective coordination number (12) radii for the β-wolfram structure elementsActa Crystallographica, 1956