Magnetic Functions Beyond the Spin-Hamiltonian PDF Download

Author: R. Boca
Publisher: Springer Science & Business Media
ISBN: 9783540260790
Category : Science
Languages : en
Pages : 296

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Book Description
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
ISBN: 9783642065439
Category : Science
Languages : en
Pages : 278

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Book Description
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
ISBN: 3642013678
Category : Science
Languages : en
Pages : 173

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Book Description

Author: Takashi Kato
Publisher: Springer
ISBN: 3540778675
Category : Science
Languages : en
Pages : 243

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Book Description
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
ISBN: 3642047580
Category : Science
Languages : en
Pages : 181

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Book Description
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
ISBN: 3642015611
Category : Science
Languages : en
Pages : 219

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Book Description
With contributions by numerous experts

Author: Thomas E. Albrecht-Schmitt
Publisher: Springer Science & Business Media
ISBN: 3540778365
Category : Science
Languages : en
Pages : 198

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Book Description
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
ISBN: 3540368108
Category : Science
Languages : en
Pages : 266

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Book Description
With contributions by numerous experts

Author: Xiaohua Lu
Publisher: Springer Science & Business Media
ISBN: 3540691146
Category : Science
Languages : en
Pages : 282

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Book Description
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
ISBN: 3540786341
Category : Science
Languages : en
Pages : 227

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Book Description
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.