MOLECULAR PHYSICS

By LINDA THOMPSON

CONTENTS PART I ATOMS CENTRAL FORCES AND ANGULAR MOMENTUM INDICIAL NOTATION FOR VECTORS COMMUTATOR ALGEBRA ORBITAL ANGULAR MOMENTUM SOLUTION OF THE HYDROGEN ATOM SPIN ANGULAR MOMENTUM ADDITION OF ANGULAR MOMENTUM HAMILTONIAN CONSEQUENCES OF SPIN: HYDROGEN ATOM USEFUL TABLES COMPLEX ATOMS SHELL MODEL OF THE ATOM ANGULAR MOMENTUM FOR COMPLEX ATOMS EQUIVALENT ELECTRONS MATRIX ELEMENTS OF THE HAMILTONIAN ONE-ELECTRON OPERATORS TWO-ELECTRON OPERATORS ENERGY VALUES FOR SOME SIMPLE EXAMPLES AVERAGE ENERGY OF A CON?GURATION HARTREE–FOCK EQUATIONS TABLES ELECTRO- AND MAGNETOSTATIC INTERACTIONS FINE STRUCTURE ZEEMAN EFFECT STARK EFFECT LINEAR STARK EFFECT QUADRATIC STARK EFFECT HYPER?NE STRUCTURE TRANSITION PROBABILITIES TIME-DEPENDENT PERTURBATION THEORY SPONTANEOUS EMISSION LIFETIME FOR HYDROGEN TRANSITION MOMENTS FOR COMPLEX ATOMS LIFETIMES, SELECTION RULES, AND OSCILLATOR STRENGTHS ABSORPTION PART II DIATOMIC MOLECULES ELECTRONIC STRUCTURE OF DIATOMIC MOLECULES HYDROGEN MOLECULAR ION BORN–OPPENHEIMER APPROXIMATION MOLECULAR ORBITALS FOR H2+ UNITED ATOM AND SEPARATED ATOM LIMITS FOR H2+ VARIATIONAL CALCULATION OF GROUND-STATE MO FOR H2+ VARIATIONAL CALCULATION OF FIRST EXCITED STATE MO FOR H2+ THE HYDROGEN MOLECULE, H2 STATE DESIGNATIONS FOR DIATOMIC MOLECULES FIRST-ROW DIATOMIC MOLECULES BONDING AND ANTIBONDING ORBITALS VIBRATIONS AND ROTATIONS OF DIATOMIC MOLECULES BASIC CONSIDERATIONS THE ANHARMONIC OSCILLATOR AND NONRIGID ROTATOR TRANSITIONS AND SELECTION RULES THERMAL DISTRIBUTION OF QUANTUM STATES EFFECTS OF NUCLEAR SPIN FOR HOMONUCLEAR MOLECULES LABELING OF ROTATIONAL BANDS TRANSITIONS REVISITED