Graph Theory of Chemical Series and Broad Categorization of Clusters

Kiremire, Enos Masheija Rwantale

doi:10.5539/ijc.v10n1p17

Cited by 3 publications

(4 citation statements)

References 26 publications

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“…The categorization of clusters into family series of S=4n+q and clan series of [Mx] utilizing skeletal numbers is very extensive. This is a new approach of categorizing and analyzing clusters (Kiremire, 2018d). Clearly, this underpins the tremendous significance of the powerful insights by the two of the great American scientists who lived more than 130 years ago (Langmuir, 1921;Lewis, 1916).…”

Section: The Two Intrinsic Natural Layers Of a Clustermentioning

confidence: 99%

“…The 4N series method has been found to be able to analyze the golden clusters in the same way as other types of clusters (Kiremire, 2017d(Kiremire, , 2018a. Let us consider the golden cluster Au 9 L 8 3+ as an illustration.…”

Section: The Nucleus Inside the Capping Elementsmentioning

confidence: 99%

“…Clusters have also been categorized into clans and families. In this case, the cluster as a whole belongs to the family of S=4n-14 clusters but also of [M1] clan of clusters (Kiremire, 2018a). Also from series, the beginning of clusters was established at n=0 and the corresponding cluster valence electrons for initiating the capping process are given by VE 0 =2x+2 where x is the nuclear capping index which in this case x=1.…”

Section: The Nucleus Inside the Capping Elementsmentioning

confidence: 99%

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Inside out Capping Clusters: Matryoshka Series

Kiremire¹

2018

IJC

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Matryoshka clusters have been analyzed and categorized using skeletal numbers for the first time. They have been found to portray a unique way of capping by having the nuclear elements occupying the outer layer and what were supposed to be the capping elements on the outside taking the place of the nucleus. Hence they belong to a new type of cluster series. The different types of capping clusters have been identified. Isomeric graphical structures of the clusters can be constructed in accordance with the connectivity rule of the series. It appears that the elements with large skeletal numbers have a tendency of going inside and forming an icosahedral shape. The 4N series method is a useful hypothetical model for analyzing and categorizing clusters of the main group and transition metals.

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Section: The Two Intrinsic Natural Layers Of a Clustermentioning

confidence: 99%

Section: The Nucleus Inside the Capping Elementsmentioning

confidence: 99%

Section: The Nucleus Inside the Capping Elementsmentioning

confidence: 99%

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Inside out Capping Clusters: Matryoshka Series

Kiremire¹

2018

IJC

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“…More information on categorization of clusters including the golden ones can be found in the recently published work (Kiremire, 2018a(Kiremire, , 2018b…”

Section: F-16mentioning

confidence: 99%

Generating Cluster Formulas Using The Primary Clusters And The K(n) Parameters

Kiremire¹

2018

IJC

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The formulas of transition metal clusters can be regarded as multiples of their respective PRIMARY CLUSTERS and K(n) parameters. A primary cluster of a transition metal skeletal element can be defined as that cluster of a mono-skeletal element which obeys the 18 electron rule. Such clusters, among others include, Cr(CO)6, Fe(CO)5, Ni(CO)4, and Zn(CO)3 and the respective K values of the skeletal elements are 6, 5, 4 and 3. The selected K(n) series are given and the derived hypothetical golden clusters are given as examples for illustrations. Selected known golden clusters are also found to be multiples of K(n) parameters and the 18 valence fragment cluster, AuL3.5. The graphical representations of a few selected examples of golden clusters are given.

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Categorization of Boranes Into Clan Series

Kiremire¹,

Lule²

2020

IJC

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Boranes, despite their instability in nature, can be regarded as hydrocarbon relatives since a [BH] fragment corresponds to a carbon [C] skeletal element in terms of the number of valence electrons. The borane formula which can be expressed as BnHm usually appears in such a way that when (n) is even, then (m) is even and when (n) is odd, (m) is odd as well. Through the study of cluster series, it appears that the cluster number K which represents skeletal linkages is usually a whole number. This inherent characteristic confers unique order within borane clusters with nodal connectivity of 5 and the polyhedral nature of the borane clusters. The orderliness of the borane clusters is reflected by the ease of their categorization into clan series and their readily constructed geometrical isomeric structures. The cluster valence electrons can easily be calculated using one of the six recently discovered fundamental equations.

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Graph Theory of Chemical Series and Broad Categorization of Clusters

Cited by 3 publications

References 26 publications

Inside out Capping Clusters: Matryoshka Series

Inside out Capping Clusters: Matryoshka Series

Generating Cluster Formulas Using The Primary Clusters And The K(n) Parameters

Categorization of Boranes Into Clan Series

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