Homometrische kubische Punktkonfigurationen

  title={Homometrische kubische Punktkonfigurationen},
  author={E. Zobetz},
  journal={Zeitschrift Fur Kristallographie},
  • E. Zobetz
  • Published 1993
  • Physics
  • Zeitschrift Fur Kristallographie
With the aid of an extension of Buerger's concept of complementary point sets it is possible to derive point configurations which are homometric, i. e., have the same self-image and diffraction pattern, though they are neither congruent nor enantiomorphic. Homometric point configurations of the cubic space group types have been determined. The significance of the combination of congruent, enantiomorphic and homometric point configurations, as well as multiple lattices, for the construction of… Expand
2 Citations
Homometrische Punktmengen in Ebenengruppen
An extension of Buerger's concept of complementary point sets has been used to determine homometric pairs of point sets of the plane groups. A procedure is outlined to derive tautoeikonic pairsExpand
Homometric model sets and window covariograms
Two Delone sets are called homometric when they share the same autocorrelation or Patterson measure. A model set Λ within a given cut and project scheme is a Delone set that is defined through aExpand


Homometric structures in MX2-type compounds
Representation of close-packed structures by Zhdanov symbols is compact and quite informative, but sometimes quite misleading also. Similar-looking symbols may or may not represent the sameExpand
Homometric polytypes in cadmium iodide
Two sufficient criteria on homometric polytypes are derived. They are applied to CdI2. In addition to the known pairs of homometric structures, infinite sets of other pairs may be constructed.Expand
Ambiguities in the X‐ray analysis of crystal structures
A mathematical construction is given for arbitrarily many distinct crystal structures all of which would give the same diffraction pattern. A. L. Patterson's concept of homometric sets is analyzed,Expand
8. The Crystal Structure of Bixbyite and the C-Modification of the Sesquioxides
It was discovered in 1925 by Goldschmidt that an extensive series of sesquioxides form cubic crystals with the unit of structure containing 16 M_2O_3, the value of a varying between 9.3 A and 10.9 A.Expand
Thermal diffuse X‐ray scattering for small samples and small coherent scattering domains
The influences of sample size and mosaic block size upon X-ray thermal diffuse scattering have been investigated. Surface and edge vibrational modes were incorporated into the Debye spectrum. TwoExpand
Zur Interpretation der Pattersonsynthese
Analysis of cyclotomic sets