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Packing of B12 groups in boron and boride structures

  • V. I. Matkovich , R. F. Giese and J. Economy
Published/Copyright: September 26, 2015
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Zeitschrift für Kristallographie - Crystalline Materials
From the journal Zeitschrift für Kristallographie - Crystalline Materials Volume 122 Issue 1-6

Auszug

Die Untersuchung bezweckte, die gemeinsamen Struktureigenschaften aller Boride und Bor-Modifikationen, die B12-Atomgruppen aufweisen, festzustellen. Es zeigte sich, daß die Gitterkonstanten aller dieser Strukturen aus einfachen Anordnungen der B12-Gruppen, die als große Metallatome angesehen werden können, ableitbar sind. Die B12-Gruppen können sich auch zu größeren individuellen Einheiten, wie den neuerdings beschriebenen B84-Gruppen. zusammenschließen.

Auf dieser Grundlage lassen sich alle Strukturen auf drei einfache Packungen zurückführen: 1. die kubische dichteste Packung, 2. die hexagonale dichteste Packung und 3. die tetragonale dichte Packung. Die letztere, mit zehn nächsten Nachbarn, ist ungewöhnlich und wird deshalb ausführlich diskutiert.

Die vorgeschlagenen Modelle gestatten eine erfolgreiche Interpretierung der beobachteten Daten und können die Grundlage zu Voraussagen über mögliche Strukturen von B12-Boriden abgeben.

Abstract

This study is concerned with the establishment of structural properties common to all borides and modifications of boron which contain B12 polyhedral units. It has been found that all unit-cell dimensions in these structures can be derived from simple arrangements of B12 units which can be regarded as large metallic atoms that form interstitial compounds. The B12 units can also group together to form larger units such as the recently reported B84. These are also treated as individual entities. On this basis all the structures have been classified into three simple packing models: 1. cubic closest packing, 2. hexagonal closest packing, and 3. tetragonal close packing.

Occurrence of tetragonal close packing with 10 closest neighbors is unusual and is discussed in detail. The proposed simple models and their subclassifications lead to a successful interpretation of observed data and should provide a basis for prediction of possible structures of the B12 borides.

Online erschienen: 2015-9-26
Erschienen im Druck: 1965-12-1

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

Articles in the same Issue

  1. Titelei
  2. Inhaltsverzeichnis des 122. Bandes
  3. Die Kristallstruktur von bis-Cyclooctadien-(1,5)-Nickel(0)
  4. Corrections for x-ray absorption by a crystal of arbitrary shape
  5. Kristall- und Molekülstruktur von bis -Methallylnickel Ni[(CH2)2C · CH]2
  6. A preliminary orienting procedure for single crystals, using the Weissenberg camera
  7. Mg2+–Fe2+ order in an orthopyroxene, Mg0,93Fe1.07Si2O6
  8. On the x-ray determination of the iron-magnesium ratio in biotites
  9. Phases and twinning in C2Al3B48 (beta AlB12)
  10. Packing of B12 groups in boron and boride structures
  11. A crystallographic study of ammonium and rubidium imidodisulphates
  12. Kurze Originalmitteilungen
  13. Die Intensität der an gebogenen Glimmerspaltflächen in höheren Ordnungen reflektierten Röntgenstrahlung
  14. Morphology and space group of hexaantipyrine perchlorate complexes of Mg++, Ca++ and Zn++, and pentaantipyrine perchlorate of Cu++
  15. Kristallographische Daten von Quecksüber(I)-acetat
  16. Preliminary x-ray crystallographic data for 3,7-dideoxy-7-iodo-heptulosonate methyl ester
  17. Crystal structure of magnesium potassium sulfate hexahydrate MgK2(SO4)2 · 6H2O
  18. The crystal structure of glauberite, CaNa2(SO4)2
  19. Beziehungen zwischen den Strukturen der Modifikationen des Platin- und Kupferphthalocyanins und einiger Chlorderivate
  20. Über die Epitaxie von Vitamin B12 auf Quarz
  21. The crystal structure of arsenic tribromide
  22. Stacking faults in cronstedtite and other kaolin-type silicates
  23. Crystal chemistry of alpha-boron derivatives
  24. The crystal and molecular structure of bis(hydrazine)zinc bis(hydrazincarboxylate-N',O)
  25. The crystal and molecular structure of chrysazin
  26. Hydrogen bonding in o-aminophenol hydrochloride
  27. Kurze Originalmitteilungen
  28. A simple Stereographic plotting table
  29. Elastische und thermoelastische Eigenschaften von CaSO4 · 2H2O (Gips)
  30. The unit cell and space group of gadolinium molybdate and of scandium tungstate
  31. The space group of anhydrous copper propionate. An x-ray study of 2,5-dichloro-nitrobenzene
  32. An x-ray study of 3-nitro 4-toluidine. Space group and unit-cell dimensions of 7-chloro, 4-methyl coumarin
  33. Buchbesprechung
  34. Exhibition of Photographs of Crystallographic Interest
  35. The formation of a spinel and a hexagonal ferrite by the thermal transformation of cronstedtite
  36. Growth of NaCl whiskers on NaCl single crystals
  37. A condensed way of representing inorganic close-packed structures
  38. Systematic derivation of inorganic close-packed structures: AX and AX2 compounds, sequence of equal layers
  39. Die Kristall struktur von Lanthantrifluorid
  40. Über Verbindungen vom Anti-LaF3-Strukturtyp
  41. Atomanordnung und Strukturverfeinerung von Cancrinit
  42. The crystal structure of YB4
  43. The crystal structure of rathite-I
  44. A phase transition in potassium chromium sulphate alum at low temperature
  45. Origin of dislocations in solution-grown crystals
  46. L’oxonium dans certains composés uranifères
  47. An x-ray study of metal complexes of biguanide
  48. A preliminary investigation of the structure of mercury dibenzyl
  49. Âutorenregister zu Band 122
  50. Sachregister zu Band 122
https://doi.org/10.1515/zkri-1965-1-609

Articles in the same Issue

  1. Titelei
  2. Inhaltsverzeichnis des 122. Bandes
  3. Die Kristallstruktur von bis-Cyclooctadien-(1,5)-Nickel(0)
  4. Corrections for x-ray absorption by a crystal of arbitrary shape
  5. Kristall- und Molekülstruktur von bis -Methallylnickel Ni[(CH2)2C · CH]2
  6. A preliminary orienting procedure for single crystals, using the Weissenberg camera
  7. Mg2+–Fe2+ order in an orthopyroxene, Mg0,93Fe1.07Si2O6
  8. On the x-ray determination of the iron-magnesium ratio in biotites
  9. Phases and twinning in C2Al3B48 (beta AlB12)
  10. Packing of B12 groups in boron and boride structures
  11. A crystallographic study of ammonium and rubidium imidodisulphates
  12. Kurze Originalmitteilungen
  13. Die Intensität der an gebogenen Glimmerspaltflächen in höheren Ordnungen reflektierten Röntgenstrahlung
  14. Morphology and space group of hexaantipyrine perchlorate complexes of Mg++, Ca++ and Zn++, and pentaantipyrine perchlorate of Cu++
  15. Kristallographische Daten von Quecksüber(I)-acetat
  16. Preliminary x-ray crystallographic data for 3,7-dideoxy-7-iodo-heptulosonate methyl ester
  17. Crystal structure of magnesium potassium sulfate hexahydrate MgK2(SO4)2 · 6H2O
  18. The crystal structure of glauberite, CaNa2(SO4)2
  19. Beziehungen zwischen den Strukturen der Modifikationen des Platin- und Kupferphthalocyanins und einiger Chlorderivate
  20. Über die Epitaxie von Vitamin B12 auf Quarz
  21. The crystal structure of arsenic tribromide
  22. Stacking faults in cronstedtite and other kaolin-type silicates
  23. Crystal chemistry of alpha-boron derivatives
  24. The crystal and molecular structure of bis(hydrazine)zinc bis(hydrazincarboxylate-N',O)
  25. The crystal and molecular structure of chrysazin
  26. Hydrogen bonding in o-aminophenol hydrochloride
  27. Kurze Originalmitteilungen
  28. A simple Stereographic plotting table
  29. Elastische und thermoelastische Eigenschaften von CaSO4 · 2H2O (Gips)
  30. The unit cell and space group of gadolinium molybdate and of scandium tungstate
  31. The space group of anhydrous copper propionate. An x-ray study of 2,5-dichloro-nitrobenzene
  32. An x-ray study of 3-nitro 4-toluidine. Space group and unit-cell dimensions of 7-chloro, 4-methyl coumarin
  33. Buchbesprechung
  34. Exhibition of Photographs of Crystallographic Interest
  35. The formation of a spinel and a hexagonal ferrite by the thermal transformation of cronstedtite
  36. Growth of NaCl whiskers on NaCl single crystals
  37. A condensed way of representing inorganic close-packed structures
  38. Systematic derivation of inorganic close-packed structures: AX and AX2 compounds, sequence of equal layers
  39. Die Kristall struktur von Lanthantrifluorid
  40. Über Verbindungen vom Anti-LaF3-Strukturtyp
  41. Atomanordnung und Strukturverfeinerung von Cancrinit
  42. The crystal structure of YB4
  43. The crystal structure of rathite-I
  44. A phase transition in potassium chromium sulphate alum at low temperature
  45. Origin of dislocations in solution-grown crystals
  46. L’oxonium dans certains composés uranifères
  47. An x-ray study of metal complexes of biguanide
  48. A preliminary investigation of the structure of mercury dibenzyl
  49. Âutorenregister zu Band 122
  50. Sachregister zu Band 122
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