Abstract

A theory is described which, for any universal structure invariant or structure seminvariant, Φ, is able to arrange the set of reflexions in shells, each shell a subset of the succeeding one, with the property that Φ may be estimated in terms of the magnitudes constituting any shell. The theory uses the idea that numberless representations exist of any universal structure invariant or seminvariant, each of them able to contribute to the estimate of Φ.

Keywords

Invariant (physics)Property (philosophy)Pure mathematicsShell (structure)MathematicsSet (abstract data type)Theoretical physicsComputer sciencePhysicsMathematical physicsMaterials scienceEpistemologyPhilosophy

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Publication Info

Year
1977
Type
article
Volume
33
Issue
6
Pages
933-944
Citations
38
Access
Closed

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Cite This

Carmelo Giacovazzo (1977). A general approach to phase relationships: the method of representations. Acta Crystallographica Section A , 33 (6) , 933-944. https://doi.org/10.1107/s0567739477002253

Identifiers

DOI
10.1107/s0567739477002253