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This volume focuses on recent developments in metallacrown chemistry. While the field was established in 1989 by Professor Vincent Pecoraro and numerous applications had been proposed, there has been a recent surge in the practical applications for this class of molecules. Written by leaders in the metallacrown chemistry field this book addresses recent developments. The single-molecule magnet properties of metallacrowns are presented along with discussions on their ability to bind DNA, as well as their potency to serve as building blocks for supramolecular structures. The volume is not only intended for those who work directly in the field of metallacrowns but it also appeals to those working in the aligned fields of metallamacrocyclic chemistry, self-assembly chemistry, and supramolecular chemistry. This dedicated volume serves as an encyclopedic reference for those wishing to gain insight into the field.
This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. The authors address the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time-independent variant on cotangent bundles. Two parts are presented to include both geometrical theory and the applicative models: Part One: Time-dependent Hamilton Geometry and Part Two: Applications to Dynamical Systems, Economy and Theoretical Physics. The authors present 1-jet spaces and their duals as appropriate fundamental ambient mathematical spaces used to model classical and quantum field theories. In addition, the authors present dual jet Hamilton geometry as a distinct metrical approach to various interdisciplinary problems.
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