Magnetic Functions Beyond The Spin Hamiltonian
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Author | : R. Boca |
Publisher | : Springer Science & Business Media |
Total Pages | : 296 |
Release | : 2006-01-12 |
Genre | : Science |
ISBN | : 9783540260790 |
Using the spin-Hamiltonian formalism, this work introduces the magnetic parameters through the components of the Lambda-tensor involving only the matrix elements of the angular momentum operator. It presents theoretical formulae necessary in performing the energy level calculations for a multi-term system.
Author | : David Michael P. Mingos |
Publisher | : Springer |
Total Pages | : 278 |
Release | : 2010-11-22 |
Genre | : Science |
ISBN | : 9783642065439 |
Using the spin-Hamiltonian formalism the magnetic parameters are introduced through the components of the Lambda-tensor involving only the matrix elements of the angular momentum operator. The energy levels for a variety of spins are generated and the modeling of the magnetization, the magnetic susceptibility and the heat capacity is done. Theoretical formulae necessary in performing the energy level calculations for a multi-term system are prepared with the help of the irreducible tensor operator approach. The goal of the programming lies in the fact that the entire relevant matrix elements (electron repulsion, crystal field, spin-orbit interaction, orbital-Zeeman, and spin-Zeeman operators) are evaluated in the basis set of free-atom terms. The modeling of the zero-field splitting is done at three levels of sophistication. The spin-Hamiltonian formalism offers simple formulae for the magnetic parameters by evaluating the matrix elements of the angular momentum operator in the basis set of the crystal-field terms. The magnetic functions for dn complexes are modeled for a wide range of the crystal-field strengths.
Author | : Mir Wais Hosseini |
Publisher | : Springer Science & Business Media |
Total Pages | : 173 |
Release | : 2009-06-20 |
Genre | : Science |
ISBN | : 3642013678 |
Author | : Takashi Kato |
Publisher | : Springer |
Total Pages | : 243 |
Release | : 2008-03-06 |
Genre | : Science |
ISBN | : 3540778675 |
This book presents critical reviews of the present position and future trends in modern chemical research concerned with chemical structure and bonding. It contains short and concise reports, each written by the world's renowned experts. Still valid and useful after 5 or 10 years, more information as well as the electronic version of the whole content is available at: springerlink.com.
Author | : D. W. M. Hofmann |
Publisher | : Springer Science & Business Media |
Total Pages | : 181 |
Release | : 2009-11-26 |
Genre | : Science |
ISBN | : 3642047580 |
Humans have been “manually” extracting patterns from data for centuries, but the increasing volume of data in modern times has called for more automatic approaches. Early methods of identifying patterns in data include Bayes’ theorem (1700s) and Regression analysis (1800s). The proliferation, ubiquity and incre- ing power of computer technology has increased data collection and storage. As data sets have grown in size and complexity, direct hands-on data analysis has - creasingly been augmented with indirect, automatic data processing. Data mining has been developed as the tool for extracting hidden patterns from data, by using computing power and applying new techniques and methodologies for knowledge discovery. This has been aided by other discoveries in computer science, such as Neural networks, Clustering, Genetic algorithms (1950s), Decision trees (1960s) and Support vector machines (1980s). Data mining commonlyinvolves four classes of tasks: • Classi cation: Arranges the data into prede ned groups. For example, an e-mail program might attempt to classify an e-mail as legitimate or spam. Common algorithmsinclude Nearest neighbor,Naive Bayes classi er and Neural network. • Clustering: Is like classi cation but the groups are not prede ned, so the algorithm will try to group similar items together. • Regression: Attempts to nd a function which models the data with the least error. A common method is to use Genetic Programming. • Association rule learning: Searches for relationships between variables. For example, a supermarket might gather data of what each customer buys.
Author | : Xin-Tao Wu |
Publisher | : Springer Science & Business Media |
Total Pages | : 219 |
Release | : 2009-06-15 |
Genre | : Science |
ISBN | : 3642015611 |
With contributions by numerous experts
Author | : Thomas E. Albrecht-Schmitt |
Publisher | : Springer Science & Business Media |
Total Pages | : 198 |
Release | : 2008-07-22 |
Genre | : Science |
ISBN | : 3540778365 |
This book presents critical reviews of the present position and future trends in modern chemical research concerned with chemical structure and bonding. It contains short and concise reports, each written by the world's renowned experts. Still valid and useful after 5 or 10 years, more information as well as the electronic version of the whole content available at springerlink.com.
Author | : Vivian W. W. Yam |
Publisher | : Springer |
Total Pages | : 266 |
Release | : 2007-05-30 |
Genre | : Science |
ISBN | : 3540368108 |
With contributions by numerous experts
Author | : Xiaohua Lu |
Publisher | : Springer Science & Business Media |
Total Pages | : 282 |
Release | : 2009 |
Genre | : Science |
ISBN | : 3540691146 |
In Molecular Thermodynamics of Complex Systems, the chapter authors critically examine not only the current state of the art in chemical research into structure and bonding, but also look at the direction the subject might take as it develops in future years.
Author | : Todd B. Marder |
Publisher | : Springer |
Total Pages | : 227 |
Release | : 2008-06-12 |
Genre | : Science |
ISBN | : 3540786341 |
With information that will remain valid for years, this series presents critical reviews of the present position and future trends in modern research into chemical structure and bonding. It features concise reports, each written by world-renowned experts.