Please use this identifier to cite or link to this item:
Title: Щодо визначення координаційного числа в моделі зв’язкової валентності
Other Titles: On the definition of the coordination number in the bond valence model
Authors: Сідей, Василь Іванович
Keywords: coordination sphere, crystal structures, bond valence model
Issue Date: Dec-2018
Publisher: ДВНЗ "Ужгородський національний університет"
Citation: Науковий вісник Ужгородського університету. Серія "Хімія". 2018, № 2 (40), С.17-19
Abstract: The bond valence model (BVM) in its modern form is widely used in mineralogy and structural inorganic chemistry as a powerful yet convenient tool for validating crystal structures and for predicting interatomic distances in the crystal structures of known chemical composition and presupposed bond network. Bond valence (BV) sAX is defined as the part of the classical atomic valence shared with each A–X cation-anion bond in a given [AXn] coordination sphere. The valence of a bond (measured in valence units, v.u.) is considered to be a unique function of the bond length; and the most commonly adopted empirical expression for the relationship between the bond valences sAX and the bond lengths rAX is the equation sAX = exp[(r0 – rAX)/b], where r0 and b are the empirically determined constants (BV parameters) for a given A/X ion (atom) pair. The BV parameters r0 and b are typically derived by fitting the above sAX = f(rAX) equation to a representative set of well determined coordination spheres under the constraint that the sums of the sAX values calculated for the central atoms of the considered coordination shells are equal or as close as possible to the oxidation state (atomic valence) expected for these atoms. The BV parameters determined in this way can readily be used for validating newly determined crystal structures via bond valence summation and for predicting bond lengths. Unfortunately, the physical limit of the coordination sphere has presently no the universally adopted definition; so, in calculating the BV parameters, researchers set the limit(s) from their personal opinions and preferences. As a result of the absence of the adopted definition for the limit of the coordination sphere, the BV parameters (r0; b) determined for the same ion pair in different works could be incompatible with each other. The main goal of this work is to present the rigorous and structure-oriented definition for the limit of the coordination sphere, successfully used by the author over the last decade: the shortest distance from the central cation to another cation in a given crystal structure is taken as the physical limit of the coordination sphere under consideration.
Type: Text
Publication type: Стаття
ISSN: 2414-0260
Appears in Collections:Наукові публікації НДІ фізики і хімії твердого тіла

Files in This Item:
File Description SizeFormat 
Nvuuchem_2018_2_4.pdf105.67 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.