ATOMS
CONTENTS THE ONE-ELECTRON ATOM FORMULATION OF THE SCHR¨ODINGER EQUATION FOR THE HYDROGEN ATOM SOLUTIONS TO THE RADIAL EQUATION EIGENSTATES RADIAL PROBABILITY DISTRIBUTION SOLUTION OF THE ANGULAR EQUATION THE TOTAL HYDROGENIC WAVE FUNCTION ENERGY LEVELS SPIN PARITY SPECTROSCOPIC NOTATION CENTRAL-FIELD WAVE FUNCTIONS IN MULTIELECTRON ATOMS REFERENCES ATOMS WITH TWO OR MORE ELECTRONS – SYMMETRIES THE MULTIELECTRON ATOM SCHR¨ODINGER EQUATION THE THREE-BODY HAMILTONIAN GENERALISATION TO AN N-ELECTRON ATOM EXCHANGE SYMMETRIES THE COMPOUND SPIN WAVE FUNCTION THE HELIUM GROUND STATE THE SPATIAL WAVE FUNCTION SLATER DETERMINANTS TWO-ELECTRON ANTISYMMETRIC WAVE FUNCTIONS N-ELECTRON ATOM ANTISYMMETRIC FUNCTIONS ANTISYMMETRIC WAVE FUNCTIONS FOR LI MATRIX ELEMENTS FOR SLATER DETERMINANTS SYMMETRY IN ATOMIC STRUCTURE APPROXIMATION METHODS PERTURBATIVE TREATMENT OF THE EXCHANGE TERM THE ENERGY OF THE HELIUM GROUND STATE ENERGIES OF THE LOWEST EXCITED STATES IN HELIUM THE LITHIUM GROUND STATE ATOMIC WAVE FUNCTIONS VIA THE VARIATIONAL PRINCIPLE BASIC ATOMIC VARIATIONAL ANALYSES HIGH PRECISION VARIATIONAL COMPUTATIONS LITHIUM AND LARGER ATOMS THE THOMAS-FERMI MODEL THE THOMAS-FERMI METHOD IN ATOMIC STRUCTURE RESULTS AND EXTENSIONS OTHER APPROACHES — THE NEED FOR APPROXIMATIONS IN ATOMIC STRUCTURE THEORY THE SPIN–ORBIT INTERACTION SPIN–ORBIT INTERACTION FOR ONE-ELECTRON ATOMS MAGNETIC MOMENTS AND THE EFFECTIVE MAGNETIC FIELD FINE-STRUCTURE IN HYDROGEN SPIN–ORBIT INTERACTION FOR MULTIELECTRON ATOMS SPIN–ORBIT COUPLING IN ATOMS AND OTHER PHYSICAL SYSTEMS THE CENTRAL-FIELD APPROXIMATION THE PRINCIPLE OF THE CENTRAL-FIELD APPROXIMATION ELECTRON CON?GURATIONS GROUND STATE CON?GURATIONS THE PERIODIC SYSTEM HORIZONTAL VIEW OF THE PERIODIC SYSTEM — THE GRADUAL EVOLUTION OF ELECTRONIC CON?GURATIONS VERTICAL VIEW OF THE PERIODIC SYSTEM — SPECTROSCOPIC AND CHEMICAL PROPERTIES PHYSICAL TRENDS IN THE PERIODIC SYSTEM THE ALKALIS — QUANTUM DEFECT THE QUANTUM DEFECT THE ALLURE OF THE CENTRAL POTENTIAL COUPLING OF ANGULAR MOMENTA – THE VECTOR MODEL THE CONCEPT OF THE VECTOR MODEL CLOSED ORBITALS ELECTRON–ELECTRON REPULSION INVOLVING CLOSED ORBITALS LS-COUPLING ATOMIC TERMS TWO NON-EQUIVALENT ELECTRONS TWO EQUIVALENT ELECTRONS MORE THAN TWO VALENCE ELECTRONS FINE-STRUCTURE JJ-COUPLING JJ-COUPLING TERMS EQUIVALENT ELECTRONS FINE-STRUCTURE IN JJ-COUPLING LS- AND JJ-COUPLING LS-COUPLING ALLOWED LS-COUPLING TERMS GENEALOGY OF ATOMIC TERMS ENERGIES OF LS-COUPLING TERMS REDUCTION OF THE PROBLEM WITH THE DIAGONAL-SUM RULE ENERGY CONTRIBUTIONS FROM ONE- AND TWO-ELECTRON INTEGRALS SLATER INTEGRALS EXAMPLES OF TERM ENERGIES MULTIPLET INTERVALS CALCULATION OF FINE-STRUCTURE ENERGY INTERVALS WAVE FUNCTIONS EIGENFUNCTIONS OF ATOMIC TERMS RADIAL FUNCTIONS FOR LIGHT ATOMS ENERGY LEVELS IN THE LS-COUPLING SCHEME JJ-COUPLING ALLOWED JJ-COUPLING TERMS THEORETICAL ENERGIES OF JJ-COUPLED STATES THE SPIN–ORBIT ENERGIES ENERGY CONTRIBUTION FROM THE ELECTRON–ELECTRON INTERACTION APPLICABILITY OF JJ-COUPLING OTHER COUPLING SCHEMES — INTERMEDIATE CASES OTHER INTERACTIONS BETWEEN ELECTRONIC ANGULAR MOMENTA SPIN–SPIN INTERACTION SPIN-OTHER-ORBIT INTERACTION MAGNETIC ORBIT–ORBIT INTERACTION AN EXAMPLE OF MAGNETIC ELECTRON–ELECTRON INTERACTIONS J1K-COUPLING LK-COUPLING INTERMEDIATE COUPLING TRANSFORMATIONS BETWEEN COUPLING SCHEMES EXAMPLES OF INTERMEDIATE COUPLING FOR TWO-ELECTRON ATOMS CON?GURATION INTERACTION ANALYSING THE NON-DIAGONAL MATRIX ELEMENTS AN EXAMPLE OF CON?GURATION INTERACTION THE DIF?CULTIES WITH ASSIGNING PURE STATE DESIGNATIONS NUCLEAR EFFECTS 10 1 ISOTOPE SHIFT THE REDUCED MASS EFFECT THE MASS POLARISATION EFFECT THE VOLUME EFFECT 10 2 HYPER?NE STRUCTURE THE MAGNETIC DIPOLE INTERACTION THE MAGNETIC DIPOLE HFS SPLITTING AND SHIFT THE HFS A-CONSTANT MAGNETIC DIPOLE HFS FOR ATOMS WITH MANY VALENCE ELECTRONS, AND FOR HEAVY ATOMS THE ELECTRIC QUADRUPOLE INTERACTION THE NUCLEAR ELECTRIC QUADRUPOLE MOMENT THE ELECTRIC QUADRUPOLE HAMILTONIAN HIGHER ORDER MULTIPOLE MOMENTS HYPER?NE STRUCTURE IN MULTIELECTRON SYSTEMS 10 2 10 SOME CONCRETE EXAMPLES OF ATOMIC HYPER?NE STRUCTURE 10 3 THE FINITE SIZE AND FINITE MASS NUCLEUS THE ZEEMAN EFFECT 11 1 WEAK MAGNETIC FIELD — THE CASE WITH NO HYPER?NE STRUCTURE THE ZEEMAN EFFECT HAMILTONIAN THE PARAMAGNETIC ZEEMAN SHIFT 11 2 ATOMS WITH HYPER?NE STRUCTURE IN A WEAK FIELD THE ZEEMAN EFFECT HAMILTONIAN IN THE PRESENCE OF HYPER?NE STRUCTURE 11 3 THE PASCHEN-BACK EFFECT — STRONG FIELDS PERTURBATION APPROACH IN THE ABSENCE OF HYPER?NE STRUCTURE THE CASE WITH HYPER?NE STRUCTURE AND A STRONG FIELD 11 4 INTERMEDIATE FIELDS DIAGONALISING THE INTERMEDIATE FIELD HAMILTONIAN INTERMEDIATE FIELD AND HYPER?NE STRUCTURE THE BREIT–RABI FORMULA 11 5 THE DIAMAGNETIC ZEEMAN EFFECT AND VERY STRONG FIELDS THE LANDAU REGION THE QUASI-LANDAU AND MIXING REGIONS THE DIAMAGNETIC ZEEMAN EFFECT AS A WEAK PERTURBATION 11 6 MAGNETIC INTERACTIONS THE STARK EFFECT 12 1 THE LINEAR STARK EFFECT THE STARK EFFECT HAMILTONIAN PERTURBATIVE TREATMENT OF THE LINEAR STARK EFFECT FOR A ONE-ELECTRON ATOM THE LINEAR STARK EFFECT, FOR A ONE-ELECTRON ATOM, WITH PARABOLIC COORDINATES 12 2 QUADRATIC STARK EFFECT THE STARK SHIFT IN THE HYDROGEN GROUND STATE STARK SHIFTS FOR MULTIELECTRON ATOMS 12 3 ATOMS IN STATIC ELECTRIC FIELDS COMPLEX AND EXOTIC EXCITATIONS 13 1 RYDBERG ATOMS 13 2 CONTINUUM STATES AUTO-IONISING STATES 13 3 INNER ORBITAL EXCITATIONS AND HIGHLY IONISED ATOMS INNER EXCITATIONS HIGHLY CHARGED IONS 13 4 FURTHER COMPLEXITY NUMERICAL SOLUTIONS OF THE ATOMIC SCHR¨ODINGER EQUATION 14 1 SELF-CONSISTENT FIELD METHODS THE HARTREE EQUATION THE HARTREE-FOCK METHOD 14 2 CORRELATION METHODS 14 3 THE STARTING POINT FOR FURTHER STUDIES OF ATOMIC STRUCTURE