Numerical Sequence of Borane Series

Kiremire, Enos Masheija Rwantale

doi:10.13005/ojc/300317

Cited by 7 publications

(8 citation statements)

References 3 publications

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“…The cluster number, k-value for a carbonyl cluster is calculated [1][2][3][4][5] using the empirical formula k = ½ (E-V). By analyzing the cluster numbers, it has been possible to discern the latent infinite world of series of clusters for elements which obey the 18-electron rule or 8-electron rule(octet rule).…”

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confidence: 99%

Categorization and Structual Determination of Simple and More Complex Carbonyl Clusters of Rhenium and Osmium Using K-Values and the Cluster Table

Kiremire¹

2015

Orient. J. Chem

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confidence: 99%

Categorization and Structual Determination of Simple and More Complex Carbonyl Clusters of Rhenium and Osmium Using K-Values and the Cluster Table

Kiremire¹

2015

Orient. J. Chem

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“…M-3-3-48-o A. Hence the cluster, Os 3 (CO) 12 belongs to the arachno series. The shape of the cluster is a trigonal planar.…”

Section: Categorization Of a Cluster Formulamentioning

confidence: 95%

Validation and Verification the Expanded Table for Transition Metal Carbonyl and Main Group Element Cluster Series which obey the 18-Electron and 8-Electron (octet) Rules respectively

Kiremire¹

2014

Orient J Chem

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The transition metal carbonyl clusters and Main group element clusters belong to natural series based on the number theory. The number series of the cluster series have been generated using the empirical formula k = ½ (E-V) where k represents the linkages or bonds that glue together the cluster elements which obey the eighteen electron rule or the octet rule and E is related to the sum of eighteen electrons or the eight electrons and V is the sum of the valence electrons. An expanded cluster table been constructed to accommodate the analysis of medium to relatively large clusters of high nuclearity. Using the knowledge of k-value and the cluster table it is possible for a given cluster formula to be categorized into its type of series and its geometry deduced. This is relatively easy for simple to medium clusters. It is hoped that this simple approach to be adapted to categorize and deduce structures of clusters with high nuclearity. This approach to clusters using number theory will complement the existing clusters theories such as WadeMingos rules 1-7 , Jemmismno rules 8-9 and topology rules 10 .Key words: Transition, metal carbonyl clusters, 8-Electron, Cluster Series the atoms and k to the number of bonds or linkages that act as a glue to link up the skeletal atoms in the molecule or cluster.By studying and analyzing the k-values of the known cluster series such as closo, nido, arachno and hypho, it is discovered that these are anly a tiny subset of an infinite number of cluster series. A smaller versions table of carbonyl cluster series and a corresponding one for main group elements were developed 13 . What is so fascinating

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“…The Wade-Mingos rules have been extremely helpful in deducing the cluster geometries (Mingos, 1984;Wade, 1976;Jemmis, 1984Jemmis, ,2002Jemmis, ,2003Jemmis, ,2005Jemmis, ,2006Jemmis, ,2008King, 2002;Welch, 2013). Furthermore, it has been found that carbonyl clusters and some main group clusters can be categorized using 4n and 14n series (Kiremire, 2014(Kiremire, , 2015. Since the 14n series (14n±q) run parallel to 4n series (4n±q), the 4n series can be used instead of the 14n series.…”

Section: Introductionmentioning

confidence: 99%

“…This is because it is easier to use 4n rather than 14n series. We have also demonstrated that the 14n and 4n series can be used to categorize and predict shapes of clusters of carbonyls, boranes and heteroboranes (Kiremire, 2014(Kiremire, ,2015. In this paper, a numerical sequences based on 14n series that give precise valence contents of clusters and their arrangements into series is presented.…”

Section: Introductionmentioning

confidence: 99%

The Categorization and Structural Prediction of Transition Metal Carbonyl Clusters Using 14n Series Numerical Matrix

Kiremire¹

2016

IJC

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A matrix table of valence electron content of carbonyl clusters has been created using the 14n-based series. The numbers so generated form an array of series which conform precisely with valence electron contents of carbonyl clusters. The renowned 18 electron rule is a special case of 14n+4 series. Similarly, the 16 electron rule is another special case of the 14n+2 series. Categorization of the carbonyl clusters using the matrix table of series has been demonstrated. The table is so organized that clusters numerically represented can easily be compared and analyzed. The numbers that are diagonally arranged from right to left represent capping series. The row from right to left represents a decrease in valence electron content with increase in cluster linkages. The variation of cluster shapes of constant number of skeletal elements especially four or more may be monitored or compared with the variation with the valence electron content.

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Numerical Sequence of Borane Series

Cited by 7 publications

References 3 publications

Categorization and Structual Determination of Simple and More Complex Carbonyl Clusters of Rhenium and Osmium Using K-Values and the Cluster Table

Categorization and Structual Determination of Simple and More Complex Carbonyl Clusters of Rhenium and Osmium Using K-Values and the Cluster Table

Validation and Verification the Expanded Table for Transition Metal Carbonyl and Main Group Element Cluster Series which obey the 18-Electron and 8-Electron (octet) Rules respectively

The Categorization and Structural Prediction of Transition Metal Carbonyl Clusters Using 14n Series Numerical Matrix

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