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The Basics of Theoretical and Computational Chemistry. Edition No. 1

  • ID: 2326654
  • Book
  • January 2007
  • 195 Pages
  • John Wiley and Sons Ltd
This textbook does away with the classic, unimaginative approach and comes straight to the point with a bare minimum of mathematics -- emphasizing the understanding of concepts rather than presenting endless strings of formulae. It nonetheless covers all important aspects of computational chemistry, such as

- vector space theory
- quantum mechanics
- approximation methods
- theoretical models
- and computational methods.

Throughout the chapters, mathematics are differentiated by necessity for understanding - fundamental formulae, and all the others. All formulae are explained step by step without omission, but the non-vital ones are marked and can be skipped by those who do not relish complex mathematics.
The reader will find the text a lucid and innovative introduction to theoretical and computational chemistry, with food for thought given at the end of each chapter in the shape of several questions that help develop understanding of the concepts.
What the reader will not find in this book are condescending sentences such as, 'From (formula A) and (formula M) it is obvious that (formula Z).'
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INTRODUCTION
Theory and Models -
Interpretation of Experimental Data
Notations
Vector Space and Function Space
Dual Space and Hilbert Space
The Probability Function
Operators
BASIC CONCEPTS OF VECTOR SPACE THEORY OF MATTER
The Wave Equation as Probability Function
Postulates of Quantum Mechanics
The Schrodinger Equation
Hermicity
Exact Measurability and Eigenvalue Problems
Eigenvalue Problems of Hermitian Operator
The Eigenvalue Equation of the Hamiltonian
Eigenvalue Spectrum
CONCEQUENCES OF QUANTUM MECHANICS
Geometrical Interpretation of Eigenvalue Equations in Vector Space
Commutators and Uncertainty Relations
Virtual Particles and Forces in Nature
CHEMISTRY AND QUANTUM MECHANICS
Eigenvalue Problem of Angular Momentum and 'Orbital' Concept
Molecular Orbital and Valence Bond Models
Spin -
Antisymmetry Principle
Virial Theorem
Chemical Bond
APPROXIMATION FOR MANY-ELECTRON SYSTEMS
Non-relativistic Stationary Systems
Adiabatic /
Born-Oppenheimer Approximation
Independent Particle Approximation
Spin Orbitals and Slater Determinants
Atomic and Molecular Orbitals: The LCAO-MO Approach
Quantitative Molecular Orbital Calculations
Canonical and Localised Orbitals and Chemical Model Concepts
PERTURBATION THEORY IN QUANTUM CHEMISTRY
Projections and Projectors
Principles of Perturbation Theory
Rayleigh-Schrodinger Perturbation Theory
Application Examples
GROUP THEORY IN THEORETICAL CHEMISTRY
Definition of a Group
Symmetry Groups
Application Examples in Quantum Chemistry
Applications in Spectroscopy
METHODS IN COMPUTATIONAL QUANTUM CHEMISTRY
ab initio Methods
Semiempirical MO Methods
Density Functional Methods
FORCE FIELD METHODS AND MOLECULAR MODELLING
Empirical Force Fields
Molecular Modelling Programs
Docking
QSAR -
Quantitative Activity -
Structure Relationships
STATISTICAL SIMULATIONS: MONTE CARLO AND MOLECULAR DYNAMICS METHODS
Common Features
Monte Carlo Simulations
Molecular Dynamics Simulations
Evaluation and Visualisation of Simulation Results
Quantum Mechanical Simulations

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Bernd Michael Rode University of Innsbruck, Austria.

Thomas S. Hofer University of Innsbruck, Austria.

Michael D. Kugler University of Innsbruck, Austria.
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