| Foreword | p. vii |
| Preface | p. ix |
| The Structure of the Atom | |
| p. 1 |
| Comparison between the classical continuum theory and the quantum theory -- Cheif experimental results on the structure of the atom -- General principles of the quantum theory -- Examples. | |
| p. 12 |
| General Introduction to mechanics -- Canonical equations and canonical transformations. | |
| p. 21 |
| The Hamilton-Jacobi partial differential equation -- Action and angle variables -- The quantum conditions. | |
| p. 25 |
| Adiabatic invariants -- The principle of correspondence. | |
| p. 32 |
| Degenerate systems -- Secular perturbations -- The quantum integrals | |
| p. 38 |
| Bohr's theory of the hydrogen atom -- Relativity effect and fine structure -- Stark and Zeeman effects. | |
| p. 47 |
| Attempts towards a theory of the helium atom and reasons for their failure - Bohr's semi-empirical theory of the structure of higher atoms - The optical electron and the Rydberg-Ritz formula for spectral series -- The classification of series | |
| p. 54 |
| Bohr's principle of successive building of atoms -- Arc and spark spectra -- Xray spectra -- Bohr's table of the complicated numbers of electrons in the stationary states. | |
| p. 60 |
| Sommerfeld's inner quantum numbers -- Attempts toward their interpretation by the atomic angular momentum -- Breakdown of the classical theory - Formal interpretation of spectral regularities -- Stoner's definition of subgroups in the periodic system | |
| p. 68 |
| Introduction to the new quantum theory -- Representation of a coordinate by a matrix -- The elementary rules of matrix calculus | |
| p. 75 |
| The commutation rule and its justification by a correspondence consideration -- Matrix functions and their differentiation with respect to matrix arguments. | |
| p. 79 |
| The canonical equations of mechanics - Proof of the conservation of energy and of the "frequency condition" -- Canonical transformations -- The analogue of the Hamilton-Jacobi differential equation. | |
| p. 83 |
| The example of the harmonic oscillator - Perturbation theory. | |
| p. 89 |
| The meaning of external forces in the quantum theory and corresponding perturbation formulas -- Their application to the theory of dispersion. | |
| p. 94 |
| Systems of more than one degree of freedom -- The commutation rules -- The analogue of the Hamilton-Jacobi theory -- Degenerate systems | |
| p. 99 |
| Conservation of angular momentum -- Axial symmetrical systems and the quantization of the axial component of angular momentum. | |
| p. 106 |
| Free systems as limiting cases of axially symmetrical systems -- Quantization of the total angular momentum -- Comparison with the theory of directional quantization -- Intensities of the Zeeman components of a spectral line -- Remarks on the theory of Ze | |
| p. 113 |
| Pauli's theory of the hydrogen atom. | |
| p. 119 |
| Connection with the theory of Hermitian forms -- Aperiodic motions and continuous spectra. | |
| |
| Substitution of the matrix calculus by the general operational calculus for improved treatment of aperiodic motions -- Concluding remarks. | |
| The Lattice Theory of Rigid Bodies | |
| p. 133 |
| Classification of crystal properties -- Continuum and lattice theories -- Geometry of lattices | |
| p. 139 |
| Molecular forces -- Polarizability of atoms -- Potential energy and inner forces -- Homogeneous displacements -- The conditions of equilibrium -- Exampies of regular lattices. | |
| p. 146 |
| Elimination of inner motions -- Compressibility -- Elasticity and Hooke's law -- Cauchy 's relations -- Dielectric displacement and piezoelectricity -- Residual-ray frequencies. | |
| p. 155 |
| Ionic lattices -- Kossel's and Lewis' theory -- Calculation of the lattice energy according to Madelung and Ewald. | |
| p. 163 |
| The energy of the rock-salt lattice -- Repulsive forces -- Derivation of the properties of salt crystals from the properties of inert gases. | |
| p. 168 |
| Experimental determination of the lattice energy by means of cyclic processes -- The electron affinity of halogens - Heat of dissociation of salt molecules -- Theory of molecular structure. | |
| p. 176 |
| Chemical crystallography -- Coordination lattices -- Hund's theory of lattice types -- Molecule, radical and layer lattices. | |
| p. 183 |
| Physical mineralogy -- The parameters of asymmetrical lattices -- The molecule lattice of hydrochloric acid -- Bragg's calculation of the rhombohedral angle of calcite -- Rutile and anatase - Influence of the polarizability on elastic and electric constan | |
| p. 189 |
| Crystal optics -- Refraction and double refraction -- Optical activity -- Thermodynamics -- Quantum theory of specific heats -- Distribution of frequencies in phase space. | |
| p. 196 |
| Thermal expansion and pyroelectricity -- Concluding remarks | |
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