Structural principles of the hydrated polyborates

Edwards, John O.; Ross, Virginia

doi:10.1016/0022-1902(60)80062-0

Cited by 68 publications

(20 citation statements)

References 22 publications

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“…The determination of the relative numbers of triangularly and tetrahedrally coordinated boron atoms as a function of composition has been discussed previously by Edwards & Ross (1960), and by Block & Piermarini (1964). It has been observed in all the borates of known structure that boron atoms are in either three-or four-fold coordination with respect to oxygen.…”

Section: Boron Coordinationmentioning

confidence: 95%

The crystal structure of sodium tetraborate

Hyman¹,

Perloff²,

Mauer³

et al. 1967

Acta Cryst

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Section: Boron Coordinationmentioning

confidence: 95%

The crystal structure of sodium tetraborate

Hyman¹,

Perloff²,

Mauer³

et al. 1967

Acta Cryst

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“…It should be noted that this structure obeys the postulates proposed by Edwards & Ross (1960). The ratio of cation charge to total boron is one, and the boron exists in a discrete tetrahedrally coordinated form.…”

Section: Description Of the Structurementioning

confidence: 97%

The direct determination of the crystal structure of NaB(OH)₄.2H₂O

Block¹,

Perloff²

1963

Acta Cryst

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The structure of NaB(OH)4.2H20 has been determined by direct methods. Three-dimensional Cu Kc~ single-crystal data were used. The space group is Pi, Z = 2 and the cell dimensions are: a = 6.126 ±0.008 A b = 8.180±0.008A c = 6.068 ±0.008 A a = 67 °55'±07' fl = 110 ° 35'±07' 7 = 101° 51'±07'The structure consists of discrete tetrahedral B(OH)~-groups and octahedrally coordinated sodium ions. An octahedron shares two edges to form chains parallel to the [100] direction. The chains are linked in the [001] direction by boron tetrahedra to form sheets parallel to the (010) face. Hydrogen bonds connect oxygen atoms within the sheet and link the sheets into a three-dimensional network. Bond distances and bond angles are presented and the application of the direct method is discussed.

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“…There is a gradual condensation of the aluminosilicate tetrahedra in the crystallizing minerals with progressive crystallization, indicating that the bond topology of the resultant minerals is closely related to the crystallization process in basaltic magmas. In borate minerals, B may occur as (Bu 3 ) and (Bu 4 ) groups (u = O 2-, OH), and classifications by Edwards and Ross (1960), Ross and Edwards (1967), Christ (1960), Tennyson (1963) and Heller (1970) took into account the polymerization of these two different types of polyhedra. In structures such as sulphates, phosphates, arsenates and vanadates, systematic classifications were slower to arise.…”

Section: The Structure Hierarchy Hypothesismentioning

confidence: 99%

A bond-topological approach to theoretical mineralogy: crystal structure, chemical composition and chemical reactions

Hawthorne

2012

Phys Chem Minerals

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Here, I describe a theoretical approach to the structure and chemical composition of minerals based on their bond topology. This approach allows consideration of many aspects of minerals and mineral behaviour that cannot be addressed by current theoretical methods. It consists of combining the bond topology of the structure with aspects of graph theory and bond-valence theory (both long range and short range), and using the moments approach to the electronic energy density-of-states to interpret topological aspects of crystal structures. The structure hierarchy hypothesis states that higher bond-valence polyhedra polymerize to form the (usually anionic) structural unit, the excess charge of which is balanced by the interstitial complex (usually consisting of large low-valence cations and (H 2 O) groups). This hypothesis may be justified within the framework of bond topology and bond-valence theory, and may be used to hierarchically classify oxysalt minerals. It is the weak interaction between the structural unit and the interstitial complex that controls the stability of the structural arrangement. The principle of correspondence of Lewis acidity-basicity states that stable structures will form when the Lewis-acid strength of the interstitial complex closely matches the Lewis-base strength of the structural unit, and allows us to examine the factors that control the chemical composition and aspects of the structural arrangements of minerals. It also provides a connection between a structure, the speciation of its constituents in aqueous solution and its mechanism of crystallization. The moments approach to the electronic energy densityof-states provides a link between the bond topology of a structure and its thermodynamic properties, as indicated by correlations between average anion coordination number and reduced enthalpy of formation from the oxides for [6]

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Structural principles of the hydrated polyborates

Cited by 68 publications

References 22 publications

The crystal structure of sodium tetraborate

The crystal structure of sodium tetraborate

The direct determination of the crystal structure of NaB(OH)₄.2H₂O

A bond-topological approach to theoretical mineralogy: crystal structure, chemical composition and chemical reactions

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Structural principles of the hydrated polyborates

Cited by 68 publications

References 22 publications

The crystal structure of sodium tetraborate

The crystal structure of sodium tetraborate

The direct determination of the crystal structure of NaB(OH)4.2H2O

A bond-topological approach to theoretical mineralogy: crystal structure, chemical composition and chemical reactions

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The direct determination of the crystal structure of NaB(OH)₄.2H₂O