The Capping Theory of Chemical Clusters Based on 12N/14N Series

Kiremire, Enos Masheija Rwantale

doi:10.5539/ijc.v10n4p130

“…When the sequence of the K(n) parameters and their corresponding cluster valence electrons, it was found that they form well-organized sequence of INFINITE ARITHMETICAL PROGRESSIONS with no beginning and no end [12,13].…”

Section: S=ve=14n+qmentioning

confidence: 99%

“…Skeletal numbers are very easy and quick in categorizing a given chemical cluster from the main group or transition metals [10][11][12][13][14]16]. A cluster formula is decomposed usually into a whole number using skeletal elements.…”

Section: Categorization Of Clusters and Cluster Clan Treesmentioning

confidence: 99%

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2019

Int J Chem Res

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More than forty transition metal carbonyls mainly bimetallic ones have been categorized using skeletal numbers. Their cluster valence electrons (CVE) were calculated using six different equations which had been discovered and consolidated during the course of the studies on chemical clusters over a period of time. These equations were easy to formulate after the discovery that chemical clusters form natural series which follow arithmetic progressions. With more scrutiny, it will be possible to find other equations which would help in calculating CVE. The categorization parameter, K*=C y +D z is a useful concept in analyzing clusters. Regardless of how it was arrived at for transition metals or main group elements, it conveys vital information. From, you can know how many skeletal elements are in a cluster, the cluster valence electrons can be calculated, the type of series and clan of the cluster can be determined and the possible geometrical skeletal structure of the cluster can be predicted, among others. The isomeric and graphical skeletal structures of some of the clusters were constructed.

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“…Relatively recently, skeletal numbers were developed for the periodic table elements of the main group as well as the transition metals and ligands [10,11]. The skeletal numbers have been extremely useful in analyzing and categorizing clusters into CLANS and FAMILIES [12,13]. What is interesting is that using skeletal numbers a cluster formula with or without ligands is decomposed into a whole number, given the symbol ii.…”

Section: Introductionmentioning

confidence: 99%

Categorization of Transition Metal Carbonyl Clusters using Skeletal Numbers and the Six Fundamental Equations for calculating Cluster Valence Electrons (CVE)

Kiremire¹

2019

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More than forty transition metal carbonyls mainly bimetallic ones have been categorized using skeletal numbers. Their cluster valence electrons (CVE) were calculated using six different equations which had been discovered and consolidated during the course of the studies on chemical clusters over a period of time. These equations were easy to formulate after the discovery that chemical clusters form natural series which follow arithmetic progressions. With more scrutiny, it will be possible to find other equations which would help in calculating CVE. The categorization parameter, K*=C y +D z is a useful concept in analyzing clusters. Regardless of how it was arrived at for transition metals or main group elements, it conveys vital information. From, you can know how many skeletal elements are in a cluster, the cluster valence electrons can be calculated, the type of series and clan of the cluster can be determined and the possible geometrical skeletal structure of the cluster can be predicted, among others. The isomeric and graphical skeletal structures of some of the clusters were constructed.

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“…In chemistry, some clusters have been categorized as closo, nido, arachno, hypho and klado, among others [1][2][3][4][5][6][7]. In this regard, the polyhedral skeletal electron pair theory (PSEPT) has been extremely useful in this process [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…For categorization of clusters, it was found to be more convenient to utilize the S=4n+q for both main group and transition metal clusters except when the cluster valence electrons are being calculated whereby S=14n+q is applied for transition metal clusters [3,4]. The skeletal numbers which were derived from the series have been found to be extremely useful in the derivation of chemical graph theory and equations for calculating cluster valence equations [6]. In addition, they can be used as a guide to predict the possible geometrical and graphical structures of clusters [6].…”

Section: Introductionmentioning

confidence: 99%

Categorization of Metalloboranes using Skeletal Numbers

Kiremire¹

2019

Int J Chem Res

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Metalloboranes have been analyzed and categorized using skeletal numbers. Skeletal numbers are extremely helpful in categorizing chemical clusters literally ranging from a single to an infinite number of skeletal elements of the main group and transition metals. The method involves decomposing a cluster formula comprising of a number of skeletal elements using skeletal numbers into a single whole number (K). Knowing the number of skeletal elements in a cluster (n), the K(n) parameter is obtained. The type of series S=4n+q is readily derived from the K(n) parameter. This is followed by the derivation of the capping parameter, Kp=C y C[Mx] and the categorization parameter K*=C y +D z where y+z=n, the number of skeletal elements in the cluster. The cluster valence electrons can be calculated from the relationship VE=12y+14z+2 for transition metal clusters or VE=2y+4z+2 for main group elements or VE=2y+4z+2+10m where m=the number of transition metal elements present when a cluster has a mixture of elements from the main group and transition metals. The categorization parameter can also act as a guide to predict a possible symmetry of a cluster and to construct an isomeric skeletal shape of a cluster. This approach was used to categorize more than 20 metalloborane clusters as well as a few non-metalloborane clusters for comparison purposes. The isomeric skeletal structures so constructed obey the 8 or 18 electron rule as defined by coordination theory.

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The Capping Theory of Chemical Clusters Based on 12N/14N Series

Cited by 3 publications

References 12 publications

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Categorization of Transition Metal Carbonyl Clusters using Skeletal Numbers and the Six Fundamental Equations for calculating Cluster Valence Electrons (CVE)

Categorization of Metalloboranes using Skeletal Numbers

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