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Coordination sequences for lattices

Veröffentlicht/Copyright: 28. Juli 2010
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Zeitschrift für Kristallographie - Crystalline Materials
Aus der Zeitschrift Zeitschrift für Kristallographie - Crystalline Materials Band 210 Heft 12

Abstract

Coordination sequences for five 3-dimensional, ten 4-dimensional and eleven higher-dimensional lattices have been determined and all but one can be expressed as simple polynomials. Some regularities in these polynomials are observed. The correlation between topological and geometric density is demonstrated for 4-dimensional lattices. It is conjectured that hexagonal closest packing is topologically the densest packing in three dimensions.

Published Online: 2010-7-28
Published in Print: 1995-12-1

© 2015 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München

Artikel in diesem Heft

  1. Beta-succinic acid, a crystal of extreme elastic anisotropy
  2. Coordination sequences for lattices
  3. The DIRDIF scaling procedures; rescaling for structures showing superstructure effects
  4. The crystal structure of In7Br9
  5. The crystal structure of EuZnGe and its relation with EuGe2
  6. Synthesis, structure and thermal behavior of benzyltrimethylammonium trihydrogen selenite
  7. On the temperature dependence of the hydrogen bond order in squaric acid: neutron diffraction studies at four different temperatures1
  8. Structure of the 1,7-bis(dimethylamino)heptamethinium dye in crystals of the picrate salt
  9. A monoclinic polymorph of tris(1,3-diphenylpropane-1,3-dionato)-cobalt(III)
  10. Crystal structure of potassium aluminium fluoride phosphate, KAlFPO4
  11. Crystal structure of yttrium carbide iodide (10-4-18), [Y10(C2)2]I18
  12. Crystal structure of caesium yttrium carbide iodide (1-10-4-18), Cs[Y10(C2)2]I18
  13. Crystal structure of dipotassium lithium diarsenidoindate, K2LiInAs2
  14. Crystal structure of 1-(1-adamantyl)-1-methylethoxycarbonyl-L-proline, C19H29NO4
  15. Crystal structure of dichlorobis(triphenylphosphine)nitridotechnetium(V), TcNCl2((C6H5)3P)2
  16. Crystal structure of 5-hydroxymethyl-5-methyl-2-thiophenyl-1,3,2-dioxa-phosphorinane-2-one, C11H15O4PS
  17. Crystal structure of μ-iodo-bis[(3,3′-trimethylenedinitrilo-bis-(2-butanoneoximato)-difluoroborate)copper(II)] perchlorate bis-(methonal), ((C3H6N2(C4H6NO)2BF2)Cu)2I ClO4(CH3OH)2
  18. Crystal structure of 4,10-dimethoxy-6,12-epoxy-6H,12H-dibenzo[b,f][1,5]dioxocin, C16H14O5
  19. Crystal structure of 1,4-bis(phenylamino)-anthracene-9,10-dione, C26H18N2O2
  20. Crystal structure of bis(2,4,6-tri-tert-butylphenylamino)phosphenium tetrachloroaluminate, (((C4H9)3C6H2NH)2P) (AlCl4)
  21. Crystal structure of trans-dibromo-bis(bis(diphenylphosphino)ethane)-osmium(II), OsBr2(((C6H5)2P)2C2H4)2
  22. Crystal structure of scandium cadmium, ScCd7
  23. Liquid Crystals. Vol. 3: Topics in Physical Chemistry.
  24. Complete Minimal Surfaces of Finite Total Curvature. Mathematics and its applications. Vol. 294.
  25. Handbook on the Physics and Chemistry of Rare Earths. Vol. 17: Lanthanides/Actinides: Physics-1.
  26. Crystallographic Computing 6. A Window on Modern Crystallography.
  27. Crystal Structure Analysis for Chemists and Biologists.
https://doi.org/10.1524/zkri.1995.210.12.905

Artikel in diesem Heft

  1. Beta-succinic acid, a crystal of extreme elastic anisotropy
  2. Coordination sequences for lattices
  3. The DIRDIF scaling procedures; rescaling for structures showing superstructure effects
  4. The crystal structure of In7Br9
  5. The crystal structure of EuZnGe and its relation with EuGe2
  6. Synthesis, structure and thermal behavior of benzyltrimethylammonium trihydrogen selenite
  7. On the temperature dependence of the hydrogen bond order in squaric acid: neutron diffraction studies at four different temperatures1
  8. Structure of the 1,7-bis(dimethylamino)heptamethinium dye in crystals of the picrate salt
  9. A monoclinic polymorph of tris(1,3-diphenylpropane-1,3-dionato)-cobalt(III)
  10. Crystal structure of potassium aluminium fluoride phosphate, KAlFPO4
  11. Crystal structure of yttrium carbide iodide (10-4-18), [Y10(C2)2]I18
  12. Crystal structure of caesium yttrium carbide iodide (1-10-4-18), Cs[Y10(C2)2]I18
  13. Crystal structure of dipotassium lithium diarsenidoindate, K2LiInAs2
  14. Crystal structure of 1-(1-adamantyl)-1-methylethoxycarbonyl-L-proline, C19H29NO4
  15. Crystal structure of dichlorobis(triphenylphosphine)nitridotechnetium(V), TcNCl2((C6H5)3P)2
  16. Crystal structure of 5-hydroxymethyl-5-methyl-2-thiophenyl-1,3,2-dioxa-phosphorinane-2-one, C11H15O4PS
  17. Crystal structure of μ-iodo-bis[(3,3′-trimethylenedinitrilo-bis-(2-butanoneoximato)-difluoroborate)copper(II)] perchlorate bis-(methonal), ((C3H6N2(C4H6NO)2BF2)Cu)2I ClO4(CH3OH)2
  18. Crystal structure of 4,10-dimethoxy-6,12-epoxy-6H,12H-dibenzo[b,f][1,5]dioxocin, C16H14O5
  19. Crystal structure of 1,4-bis(phenylamino)-anthracene-9,10-dione, C26H18N2O2
  20. Crystal structure of bis(2,4,6-tri-tert-butylphenylamino)phosphenium tetrachloroaluminate, (((C4H9)3C6H2NH)2P) (AlCl4)
  21. Crystal structure of trans-dibromo-bis(bis(diphenylphosphino)ethane)-osmium(II), OsBr2(((C6H5)2P)2C2H4)2
  22. Crystal structure of scandium cadmium, ScCd7
  23. Liquid Crystals. Vol. 3: Topics in Physical Chemistry.
  24. Complete Minimal Surfaces of Finite Total Curvature. Mathematics and its applications. Vol. 294.
  25. Handbook on the Physics and Chemistry of Rare Earths. Vol. 17: Lanthanides/Actinides: Physics-1.
  26. Crystallographic Computing 6. A Window on Modern Crystallography.
  27. Crystal Structure Analysis for Chemists and Biologists.
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