Enos Kiremire Books

The study explores the unique behavior of chemical clusters formed by main group and transition elements, revealing a phenomenon known as double capping. It introduces a parameter, K*, to categorize clusters based on their skeletal elements, which evolve through three distinct types: growing, mature, and capping series. Mature clusters correspond to the Closo series, while capping series indicate the formation of nuclei that consist of one or more skeletal elements. Notably, golden clusters typically center around one or two skeletal elements, while palladium carbonyl clusters involve two or more.

This work explores the systematic organization of carbonyl clusters, revealing that they adhere to the formula S = 4n + q, where n is the number of skeletal elements. This insight led to the development of a categorization formula K* = Cy + Dz, distinguishing between cluster families and series clans. A significant breakthrough was the identification of an intrinsic generating function R = n (K -1) + 1, which can produce all possible fragments and clusters from a precursor, encompassing both known and unknown stable chemical structures.

The book explores the historical development of number and cluster theory in chemical clusters, focusing on main group and transition metal elements. It details the progression from the 4N/14 Series to the establishment of cluster numbers and skeletal numbers. Key concepts include the categorization of clusters into CLAN and FAMILY series, the introduction of cluster valence equations, and the construction of isomeric structures using the K(n) parameter. Additionally, it highlights the dichotomous relationship within clusters, consisting of Cy and Dz components.

The book explores the application of new cluster theory to x-ray crystal structure analysis, categorizing chemical clusters into classical and non-classical types. It introduces a symbolic representation (K* = CY + Dz) to identify normal classical clusters, characterized by two layers: a foundation layer (DZ) with skeletal elements adhering to the S = 4n + 2 series, and a capping layer (CY). Notable examples discussed include Matryoshka clusters, golden clusters, and various carbonyl clusters, providing insight into their structural features and classifications.

The analysis of Borane clusters focuses on calculating the skeletal number, K(n), which is essential for deriving six equations that determine cluster valency electrons and generate skeletal isomeric shapes. The methodology allows for the distribution of hydrogen atoms and charges on boron node points with five linkages, ensuring that the resulting structures align with established borane cluster formulas. Additionally, the K(n) parameter plays a crucial role in the classification of various borane clusters.

The book explores the analysis and categorization of zintl phases and clusters through the K(n) parameter and skeletal valency, revealing the relationship between skeletal valency and atomic number. It explains how zintl ion clusters can be decomposed to generate K values, which are crucial for constructing isomeric structures and deriving cluster valence electrons. Additionally, it discusses transforming the K(n) parameter into a series that connects zintl clusters to borane and other analogues, highlighting the geometric relationships among these structures.

The study of chemical clusters reveals the concept of skeletal numbers, which categorize elements from both main groups and transition metals. This allows for the decomposition of complex chemical formulas into manageable numbers, facilitating the derivation of algebraic series. A double capping form for clusters is introduced, alongside six new equations for calculating cluster valence electrons. Additionally, the book explores sketching isomeric skeletal shapes and proposing ligand distributions, leading to the emergence of a novel cluster algebra.

Este libro explora el uso de números esqueléticos para clasificar elementos del grupo principal y metales de transición en clanes y familias. Presenta fórmulas para calcular electrones de valencia y más de 60 ejemplos de cúmulos, incluyendo carbonilos metálicos y boranos, mostrando la interconexión entre números esqueléticos y electrones de valencia.