This book introduces the concept of crystallographic non-rigidity and asymmetry of the transition elements as centralatoms organometallic compounds. This intrinsic behavior ofcentral atoms in condensed matter is quantified by applyingstatistical approach. Averaging of extrinsic factors incrystal structures is tested by using variance analysis.Introductionof the above mentioned concept and applicationsof variance analysis as an approximation for consideringfactors influencing properties of central atomin thecrystal is original and new. 1 Statistics of Interatomic Distances.- 1.1 Some Statistical Concepts and Inferences.- 1.2 Statistics of Lengths of Interatomic Vectors.- Glossary of Symbols.- 1.3 References.- 2 Factors Influencing the Dispersion of Lengths of Interatomic Vectors.- 2.1 Application of Variance Analysis.- 2.2 Nonrigid Behavior of Central Monatomic Entities.- Glossary of Symbols.- 2.3 References.- 3 Statistics of Crystallographic Sites of Central Monatomic Entities.- 3.1 Crystallographic Sites.- 3.2 Lattice Complexes.- 3.3 Domains of Influence and Lattice Complexes.- 3.4 Matrix Representations of Symmetry Point Groups of Crystallographic Sites.- 3.5 Occurence of Central Monatomic Entities in Sites of Weissenberg Lattice Complexes.- Glossary of Symbols.- 3.6 References.- 4 Statistics of Bond Distances Between Central Monatomic Entities and Ligands.- 4.1 Terms of Monatomic Entities of Transition Elements and Splitting of their Energy Levels in the Crystal Field.- 4.2 Cu(II) Compounds.- 4.3 Ag(I) Compounds.- 4.4 Cd(II) Compounds.- 4.5 Fe(II) Compounds.- 4.6 Cr(III), Mo(V), Pd(II), Co(III), Ni(II), Zn(II), Nd(III), and Hg(II) Compounds.- Glossary of Symbols.- 4.7 References.- 5 Conclusions.- 5.1 References.- Chemical Abbreviations.- Appendix A.- References.- Appendix B.- Appendix C.- Appendix D.
