ISSN : 0970 - 020X, ONLINE ISSN : 2231-5039
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Abstract

Unification and Expansion of Wade-Mingos Rules with Elementary Number Theory

Enos Masheija Kiremire

DOI : http://dx.doi.org/10.13005/ojc/310146


Abstract:

The study of clusters by using the empirical formula k = ½ (E-V) revealed the existence of cluster series. This gave rise to the design of a cluster table that has been highly refined to its current form in this paper. On closer scrutiny of the cluster table has further revealed an infinite number of cluster series based upon 4 n for main group elements which obey octet rule and 14 n for transition metal elements which obey the 18 electron rule. The cluster series decrease successively in valence electron count by 2 or increase successively by 2. The Wade-Mingos rules based upon 4n, 5n and 6n rules (polyhedral skeletal electron pair theory) all belong to the 4n-based cluster series of the cluster table are a subset of many series. This may simply be regarded as a unification and expansion of Wade-Mingos rules. The table is very simple to use to study clusters by students at secondary, undergraduate and postgraduate levels

Keywords:

Unification; Expansion; clusters; empirical formula

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