Introduction to Quantum Mechanics in Chemistry
Mark A. Ratner
George C. Schatz, Northwestern University

ISBN-10: 0138954917
ISBN-13: 9780138954918

Publisher: Prentice Hall
Copyright: 2001
Format: Paper; 305 pp
Published: 05/08/2000

Suggested retail price: $132.40
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For one-term, advanced undergraduate or beginning graduate level courses in Quantum Chemistry.

This textbook is designed to provide an integrated approach to the conceptual development of quantum chemistry and its application to current research questions involving molecular structure, energies, and spectra. Focusing on the language of quantum chemistry, the use of its most important tools, and overcoming mathematical impediments, the authors cover the field of chemical structure and properties in a modest and straightforward manner.

  • Careful Pedagogy.

    • Worked examples in every chapter give students hands on problem solving experience. Ex.___

    • End-of-chapter problems, with answers to odd-numbered problems in an appendix.

  • One chapter (Chapter 14) devoted exclusively to solving a series of quantum mechanical problems with computers—Connects the previously learned theory with practical and real problems.

    • Allows students to use and understand any current software application for electronic structure calculations (e.g. Gaussian, Jaguar, GAMESS, Q-Chem). Ex.___

  • Focused presentation.

    • Allows students to concentrate on technique and methods without weeding through excess reading material. Ex.___

  • Does not require math beyond undergraduate calculus.

    • Makes this a less intimidating book that can be used by students in all areas of specialization, including synthetic chemistry. Ex.___

  • Unique treatment of spectroscopy of polyatomic molecules (Chapter 15).

    • Gives students a rigorous yet conceptually straightforward treatment of the spectroscopy of polyatomic molecules, which can get very complicated.

  • The newest text on the market. The most up-to-date book in an area where software capabilities are changing rapidly.

    • Allows students to use the most recent software to the limits of its capabilities.



1. Introduction and Background to Quantum Mechanics.

Aim of Theoretical Chemistry. Key Concepts from Classical Physics. Classical Mechanics. Classical Wave Theory. Early History of Quantum Mechanics. Particle Nature of Light. Wave Nature of Particles. Uncertainty Principle. Discovery of Quantum Mechanics. Concepts in Quantum Mechanics.



2. Quantum Theory.

Postulates of Quantum Mechanics. Definitions of …Y and …|Y|2. Operators. Time-Dependent and Time-Independent Schrödinger Equations. Eigenvalues. Expectation Values. Properties of the Time-Independent Schrödinger Eigenfunctions.



3. Particle-in-Box Models.

Particle in a One-Dimensional Box. Particle in a Two-Dimensional Box. Particle in a Three-Dimensional Box. Free-Electron Molecular Orbital Model.



4. Rigid-Rotor Models and Angular Momentum Eigenstates.

Motions of a Diatomic Molecule: Separation of the Center of Mass. Rigid-Rotor Model in Two Dimensions. Three-Dimensional Rigid Rotor. Spherical Harmonics. Rotational Spectra. Angular Momentum. Dirac Notation. Raising and Lowering Angular-Momentum Operators.



5. Molecular Vibrations and Time-Independent Perturbation Theory.

Diatomic Molecule Vibrations. Raising and Lowering Operators for the Harmonic Oscillator. Polyatomic Molecule Vibrations. Time-Independent Perturbation Theory. Examples.



6. The Hydrogen Atom.

The Schrödinger Equation. Radial Solutions and Eigenvalues. Energy Eigenvalues; Spectroscopy of the H Atom. Properties of Hydrogen and Hydrogenlike Wavefunctions. Atomic Units.



7. The Helium Atom.

Schrödinger Equation. Independent-Particle Model. The Variational Method. Better Wavefunctions.



8. Electron Spin and the Pauli Principle.

Electron Spin. The Pauli Principle. He-Atom Wavefunctions, Including Spin. Excited State of He. Energies of He(1s2s) States. Interaction of Electron Spin with Magnetic Fields. EPR and NMR.



9. Many-Electron Atoms.

Many-Electron Hamiltonian and Schrödinger Equation. Slater Determinants. Hartree Method. Hartree-Fock Method. Koopmans' Theorem. Electron Correlation. Constants of the Motion. Angular-Momentum Operators for Many-Electron Atoms. Relativistic Effects.



10. Homonuclear Diatomic Molecules.

Hydrogen Molecular Ion: Born-Oppenheimer Approximation. LCAO-MO Treatment of H2 +. Other H2 + States. Electronic Structure of Homonuclear Diatomics. Electronic Structure of H2: Molecular Orbital and Valence Bond Wavefunctions. Improvements to MO and VB Results for H2.



11. Ab Initio and Density Functional Methods.

LCAO-MO-SCF Theory for Molecules. Atomic Orbitals. Hartree-Fock Calculations. Beyond Hartree-Fock. Density Functional Theory Methods.



12. Semiempirical Methods.

Hückel Model. Extended Hückel Method. PPP Method. NDO Methods.



13. Applications of Group Theory.

Group Theory for Point Groups. Applications of Group Theory to Molecular Quantum Mechanics. Symmetry Properties of Many-Electron Wavefunctions. Symmetry Properties of Molecular Vibrations.



14. Applications of Electronic Structure Theory.

Potential-Energy Functions. Optimized Geometries and Frequencies. IR Spectra. Barriers to Reaction. Excited States. Molecular Clusters. Remarks on Other Methods.



15. Time Dependence and Spectroscopy.

Transition Probabilities and the Golden Rule. Electronic Spectroscopy of Molecules. Vibration (Infrared) Spectroscopy.



Appendices.

Mathematical Background. Two-Electron Repulsion Integral. Character Tables. Atomic Units, Energy Conversion Factors, and Physical Constants. Solutions to Odd-Numbered Problems.



Index.

  • Solutions Manual
    Schatz & Schatz
    © 2001 | Prentice Hall | Paper; 40 pages | Instock
    ISBN-10: 0130154873 | ISBN-13: 9780130154873


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