1989
DOI: 10.1107/s0108767388010621
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Reduced cells based on extremal principles

Abstract: To answer the question whether all derived (hklO) origins are in fact F faces, a detailed study of the morphology resulting from the bond strength in the calaverite crystal structure is required. This is not a simple task, even if at present one knows the atomic structure of calaverite, because the microscopic structure of the macroscopically fiat faces of an incommensurate crystal is still obscure. Concluding remarksWe still have only a partial understanding of the morphology of calaverite. Nevertheless, t… Show more

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Cited by 14 publications
(22 citation statements)
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“…We say that the cell N determined by a primitive basis on the set of all Buerger cells of L (Gruber, 1989). Both cells are primitive.…”
Section: Description and Representation Of A Latticementioning
confidence: 99%
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“…We say that the cell N determined by a primitive basis on the set of all Buerger cells of L (Gruber, 1989). Both cells are primitive.…”
Section: Description and Representation Of A Latticementioning
confidence: 99%
“…Thus we have first to ascertain all Buerger cells of the given lattice L. These cells may be found according to Gruber (1973Gruber ( , 1989. Secondly, having a particular Buerger cell B of L, we have to find all Buerger points that follow from B.…”
Section: Appendix B How To Determine All Buerger Points Of a Latticementioning
confidence: 99%
“…Niggli cell GO Gruber (1989) has demonstrated that four types of reduced cell GI may be chosen out of the same set of Buerger cells. Basically, G2 the four variants of reduced cells do not differ in principle from one another.…”
Section: Algorithmmentioning
confidence: 99%
“…Apparently, if the Buerger cell of G4 a given lattice is unique, it must be the Niggli cell. In general, a Buerger cell is seen to be the Niggli cell if, and only if, the G5 additional extremal condition is true for a Buerger cell with G6 maximum deviation /~ (Gruber, 1989): G7 6 = 17r/2 -o~ I + 17r/2 -#1 + 17r/2 -3'1 = rel max, As a formal definition, the relative extremal condition (5) G12 allows an easy geometrical interpretation on the Niggli cell. The question arises whether it is convenient to be incorporated into the main extremal condition (2).…”
Section: Algorithmmentioning
confidence: 99%
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