Molecular Quantum MechanicsQuantum mechanics embraces the behaviour of all known forms of matter, including the atoms and molecules from which we, and all living organisms, are composed. Molecular Quantum Mechanics leads us through this absorbing yet challenging subject, exploring the fundamental physical principles that explain how all matter behaves. With the clarity of exposition and extensive learning features that have established the book as a leading text in the field, Molecular Quantum Mechanics takes us from the foundations of quantum mechanics, through quantum models of atomic, molecular, and electronic structure, and on to discussions of spectroscopy, and the electronic and magnetic properties of molecules. Lucid explanations and illuminating artworks help to visualise the many abstract concepts upon which the subject is built. Fully updated to reflect the latest advances in computational techniques, and enhanced with more mathematical support and worked examples than ever before, Molecular Quantum Mechanics remains the ultimate resource for those wishing to master this important subject. Online Resource Centre For students: Interactive worksheets to help students master mathematical concepts through hands-on learning Solutions to selected exercises and problems For registered adopters of the book: Figures in electronic format Solutions to all exercises and problems |
Contents
Introduction and orientation | 1 |
1 The foundations of quantum mechanics | 9 |
2 Linear motion and the harmonic oscillator | 37 |
3 Rotational motion and the hydrogen atom | 69 |
4 Angular momentum | 99 |
5 Group theory | 125 |
6 Techniques of approximation | 170 |
7 Atomic spectra and atomic structure | 210 |
8 An introduction to molecular structure | 258 |
Common terms and phrases
amplitude approximation atomic orbitals axis basis functions basis set bond brief illustration calculation centre Chapter classical coefficients commutation components configuration consider constant contribution coordinates corresponding Coulomb coupling degeneracy denoted derivatives determinant diatomic molecule diCerent diCerential eCect eigenfunction eigenvalue electric dipole electric field energy levels evaluate example excited expectation value expression first-order follows frequency given ground-state hamiltonian harmonic oscillator Hint hydrogen atom integral interaction internuclear irreducible representation linear combination linear momentum m₁ magnetic field matrix elements method molecular orbitals momenta non-zero normal nuclear nucleus obtain orbital angular momentum p-orbitals parameter particle polarizability potential energy problem properties quantum mechanics quantum number radiation radius relation resonance result rotational scattering Schrödinger equation Section selection rules Self-test Slater determinants solution spherical spin spinorbitals symmetry operation symmetry species Table tion transition vibrational wavefunction wavenumbers write zero ΔΕ