Bond length-bond valence relationships with particular reference to polyoxometalate chemistry

2007 ◽  
pp. 1-66 ◽  
Author(s):  
K. H. Tytko ◽  
J. Mehmke ◽  
D. Kurad
Keyword(s):  
Bond Length ◽  
Bond Valence

Universal `bond valenceversusbond length' correlation curve for manganese–oxygen bonds

2014 ◽  
Vol 70 (3) ◽  
pp. 608-611 ◽  
Author(s):  
Vasyl Sidey
Keyword(s):  
Bond Length ◽  
Oxidation State ◽  
Bond Valence ◽  
Acta Cryst ◽  
Correlation Curve ◽  
Bond Valence Model ◽  
Two Parameter

The oxidation-state independent `bond valence (s)versusbond length (r)' correlation curve for manganese–oxygen bonds has been closely approximated using the modified two-parameter Trömels=f(r) function [Trömel (1983).Acta Cryst.B39, 664–669],s= [(r0−l)/(r−l)]2, wherer0= 1.763 (2) Å andl= 1.148 (9) Å. Ther0andlrefinable parameters of the above function can be regarded as the alternative bond-valence parameters intended for use in the modern bond-valence model [Brown (2009).Chem. Rev.109, 6858–6919] in cases where the traditional bond-valence parameters (r0;n) and (r0;b) fail.

A Priori Bond-Valence and Bond-Length Calculations in Rock-Forming Minerals

2018 ◽  
Author(s):  
Olivier Charles Gagné ◽  
Patrick H.J. Mercier ◽  
Frank Christopher Hawthorne
Keyword(s):  
Bond Length ◽  
A Priori ◽  
Bond Valence ◽  
Bond Lengths ◽  
Structural Strain

<i>A priori </i>bond-valences and bond-lengths are calculated for a series of rock-forming minerals. Comparison of <i>a priori </i>and observed bond-lengths allows structural strain to be assessed for those minerals.

A note on the distortion theorem

2017 ◽  
Vol 73 (5) ◽  
pp. 874-878
Author(s):  
M. S. Nickolsky
Keyword(s):  
Theoretical Analysis ◽  
Bond Length ◽  
Coordination Polyhedron ◽  
Distortion Theorem ◽  
Bond Valence ◽  
Conditional Statement ◽  
The Mean

The distortion theorem is a conditional statement that establishes the certain relations between the variation of the mean bond length and the variation of the valence of a central ion of a coordination polyhedron. It was found that in some principal cases the conditional part of the distortion theorem is not necessary. A combinatorial evaluation of the distortion theorem and a theoretical analysis of the bond length–bond valence correlation were performed. An extension of the distortion theorem is proposed.

Theoretical prediction of bond-valence networks. II. Comparison of the graph-matrix and resonance-bond approaches. Erratum

1999 ◽  
Vol 55 (1) ◽  
pp. 131-131 ◽  
Author(s):  
John S. Rutherford
Keyword(s):  
Theoretical Prediction ◽  
Bond Length ◽  
Bond Valence ◽  
Correct Version ◽  
Acta Cryst ◽  
Sum Rule

The correct version of Fig. 2 in the paper by Rutherford [Acta Cryst. (1998), B54, 204–210] is given. It shows that, assuming graph-equivalent bonds are equal, there are 57 possible bond-length sequences for β-Ga2O3 within the constraints of the Valence-Sum Rule.

A simplified empirical model for approximation of the `bond valence–bond length' correlation for H—O bonds

2011 ◽  
Vol 67 (3) ◽  
pp. 263-265 ◽  
Author(s):  
Vasyl Sidey
Keyword(s):  
Bond Length ◽  
Empirical Model ◽  
Valence Bond ◽  
Bond Valence

The `bond valence (s)–bond length (r)' correlation reported earlier for H—O bonds [Brown (2009). Chem. Rev. 109, 6858–6919] has been closely approximated using the function s = (α − βr)1/γ, where α = 1.185 (10), β = 0.321 (8) and γ = 0.36.

A Priori Bond-Valence and Bond-Length Calculations in Rock-Forming Minerals

2018 ◽  
Author(s):  
Olivier Charles Gagné ◽  
Patrick H.J. Mercier ◽  
Frank Christopher Hawthorne
Keyword(s):  
Bond Length ◽  
A Priori ◽  
Bond Valence ◽  
Bond Lengths ◽  
Structural Strain

<i>A priori </i>bond-valences and bond-lengths are calculated for a series of rock-forming minerals. Comparison of <i>a priori </i>and observed bond-lengths allows structural strain to be assessed for those minerals.

A Priori Bond-Valence and Bond-Length Calculations in Rock-Forming Minerals

2018 ◽  
Author(s):  
Olivier Charles Gagné ◽  
Patrick H.J. Mercier ◽  
Frank Christopher Hawthorne
Keyword(s):  
Bond Length ◽  
A Priori ◽  
Bond Valence ◽  
Bond Lengths ◽  
Structural Strain

<i>A priori </i>bond-valences and bond-lengths are calculated for a series of rock-forming minerals. Comparison of <i>a priori </i>and observed bond-lengths allows structural strain to be assessed for those minerals.

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