Open Journal of Physical Chemistry, 2016, 6, 21-33
Published Online May 2016 in SciRes. http://www.scirp.org/journal/ojpc
http://dx.doi.org/10.4236/ojpc.2016.62002
How to cite this paper: Auvert, G. and Auvert, M. (2016) The Even-Odd and the Isoelectronicity Rules Applied to Single Co-
valent Bonds in Ionic, Double-Face-Centered Cubic and Diamond-Like Crystals. Open Journal of Physical Chemistry, 6, 21-33.
http://dx.doi.org/10.4236/ojpc.2016.62002
The Even-Odd and the Isoelectronicity Rules
Applied to Single Covalent Bonds in Ionic,
Double-Face-Centered Cubic and
Diamond-Like Crystals
Geoffroy Auvert
1
, Marine Auvert
2
1
Grenoble Alp University, Grenoble, France
2
University of Strasbourg, Strasbourg, France
Received 12 February 2016; accepted 20 March 2016; published 23 March 2016
Copyright © 2016 by authors and Scientific Research Publishing Inc.
This work is licensed under the Creative Commons Attribution International License (CC BY).
http://creativecommons.org/licenses/by/4.0/
Abstract
Although atom configuration in crystals is precisely known thanks to imaging techniques, there is
no experimental way to know the exact location of bonds or charges. Many different representa-
tions have been proposed, yet no theory to unify conceptions. The present paper describes me-
thods to derive bonds and charge location in double-face-centered cubic crystals with 4 and 6
atoms per unit cell using two novel rules introduced in earlier works: the even-odd and the isoe-
lectronicity rules. Both of these rules were previously applied to ions, molecules and some solids,
and the even-odd rule was also tested on two covalent crystal structures: centered-cubic and sin-
gle-face-centered cubic crystals. In the present study, the diamond-like structure was subjected to
the isoelectronicity rule in order to derive Zinc-blende structures. Rock-salt-like crystals were de-
rived from each other using both rules. These structures represent together more than 230 dif-
ferent crystals. Findings for these structures are threefold: both rules describe a very sure method
to obtain valid single covalent-bonded structures; single covalent structures can be used in every
case instead of the classical ionic model; covalent bonds and charges positions do not have any re-
lation with the valence number given in the periodic table.
Keywords
Covalent Bond, Even-Odd, Rule, Single Bond, Chemical Structure, Crystal, Solid, Ionic Crystal,
Face-Centered Crystal, Diamond-Like