Book contents
- Frontmatter
- PREFACE
- Contents
- CHAPTER I THE ORIGIN AND DEVELOPMENT OF THE NEW QUANTUM MECHANICS
- CHAPTER II THE MULTIPLETS OF SERIES SPECTRA AND THE l-s-j SCHEME OF LANDÉ
- CHAPTER III THE NORMAL AND ANOMALOUS ZEEMAN EFFECT; THE LANDÉ g-FORMULA
- CHAPTER IV ATOMIC MAGNETISM; THE BOHR MAGNETON; THE STERN-GERLACH EXPERIMENT; MAGNETISM AND TEMPERATURE; THE MAGNETO-MECHANICAL EFFECT
- CHAPTER V INTERPRETATION OF THE g-FORMULA; THE PAULI VERBOT; THE SPINNING ELECTRON; SPIN DOUBLETS
- CHAPTER VI X-RAY SPECTRA AND THEIR MULTIPLET THEORY ON THE NEW MECHANICS; SCREENING AND SPIN DOUBLETS
- CHAPTER VII THE PASCHEN-BACK EFFECT AND THE SOMMERFELD FORMULA; LANDÉ'S FORMULA FOR THE MAGNITUDE OF THE ALKALI DOUBLETS; THE TRIPLETS OF THE ALKALINE EARTHS
- CHAPTER VIII THE NEW QUANTUM KINEMATICS OF HEISENBERG; MATRICES AND NON-COMMUTATIVE MULTIPLICATION
- CHAPTER IX THE THEORY OF DIRAC; USE OF POISSON BRACKETS; THE ENERGY LAW AND BOHR'S FREQUENCY CONDITION
- CHAPTER X THE HARMONIC OSCILLATOR
- CHAPTER XI THE CANONICAL TRANSFORMATION; PERTURBATION THEORY FOR NON-DEGENERATE AND DEGENERATE SYSTEMS
- CHAPTER XII THE ANHARMONIC OSCILLATOR; INTENSITIES OF SPECTRAL LINES; MATRICES AND QUADRATIC FORMS
- CHAPTER XIII ANGULAR MOMENTUM RELATIONS; SELECTION AND POLARISATION RULES
- CHAPTER XIV THE THEORY OF THE LANDÉ NUMBERS m, l, j
- CHAPTER XV INTENSITY FORMULAE FOR THE ZEEMAN EFFECT
- CHAPTER XVI THE DIRAC-PAULI CALCULATIONS FOR HYDROGEN; OPERATOR THEORIES; SCHRÖDINGER's THEORY
- CHAPTER XVII SCHRÖDINGER'S WAVE EQUATION; HIS THEORY OF THE HYDROGEN SPECTRUM
- CHAPTER XVIII WAVE MECHANICS
- CHAPTER XIX SCHRÖDINGER'S THEORY OF THE OSCILLATOR AND ROTATOR; WAVE PACKETS
- CHAPTER XX THE EVALUATION OF THE HEISENBERG MATRICES BY THE USE OF THE SCHRÖDINGER CALCULUS; DIRAC's EXTENSION OF HIS THEORY TO RELATIVISTIC MECHANICS
- CHAPTER XXI PERTURBATION THEORY IN WAVE MECHANICS; THE INTENSITIES IN THE STARK EFFECT
- CHAPTER XXII SCHRÖDINGER'S DISPERSION THEORY
- CHAPTER XXIII LIGHT QUANTA; DE BROGLIE WAVES; DIFFRACTION OF LIGHT QUANTA; THE COMPTON EFFECT
- CHAPTER XXIV THE THEORY OF THE ANOMALOUS ZEEMAN EFFECT ON THE NEW MECHANICS
- CHAPTER XXV THE CALCULATION OF THE ZEEMAN INTENSITIES FOR THE D-DOUBLET OF THE ALKALIS; DEDUCTION OF THE LANDÉ g AND γ FORMULAE; THE FINE STRUCTURE DUE TO RELATIVITY AND SPIN; THE RELATION OF THE SPINNING ELECTRON TO WAVE MECHANICS
- CHAPTER XXVI HEISENBERG'S RESONANCE THEORY OF THE ORTHO AND PARA HELIUM SPECTRA
- CHAPTER XXVII THE EFFECT OF THE SPIN OF THE ELECTRONS UPON THE HELIUM SPECTRUM; THE CALCULATIONS OF HEISENBERG FOR HELIUM; SYMMETRIC AND ANTISYMMETRIC EIGENFUNCTIONS
- CHAPTER XXVIII THE NEW STATISTICS OF GASES AND RADIATION; THE BOSE STATISTICS FOR LIGHT QUANTA; THE EINSTEIN THEORY OF AN IDEAL GAS
- CHAPTER XXIX THE FERMI-DIRAC THEORY OF AN IDEAL GAS; JORDAN'S FORMULAE FOR COLLISIONS OF LIGHT QUANTA, PROTONS AND ELECTRONS
- CHAPTER XXX DIRAC'S THEORY
- CHAPTER XXXI THE DIRAC MATRIX TRANSFORMATION THEORY; DEDUCTION OF SCHRÖDINGER'S WAVE EQUATION; GENERALISED FORM OF THE WAVE EQUATION; PHYSICAL INTERPRETATION OF q-NUMBERS; INTRODUCTION OF PROBABILITIES; APPLICATION TO COLLISION PROBLEMS
- CHAPTER XXXII THE ESSENTIAL INDEFINITENESS OF QUANTUM MECHANICS; HEISENBERG'S PHILOSOPHY AND BOHR'S DE BROGLIE WAVE THEORY OF THE PASSAGE FROM MICRO- TO MACRO-MECHANICS; THE SPREADING FACTOR; BOHR'S SUMMARY OF THE PRESENT STATE OF THE QUANTUM THEORY
- INDEX OF AUTHORS
CHAPTER VI - X-RAY SPECTRA AND THEIR MULTIPLET THEORY ON THE NEW MECHANICS; SCREENING AND SPIN DOUBLETS
Published online by Cambridge University Press: 05 July 2011
- Frontmatter
- PREFACE
- Contents
- CHAPTER I THE ORIGIN AND DEVELOPMENT OF THE NEW QUANTUM MECHANICS
- CHAPTER II THE MULTIPLETS OF SERIES SPECTRA AND THE l-s-j SCHEME OF LANDÉ
- CHAPTER III THE NORMAL AND ANOMALOUS ZEEMAN EFFECT; THE LANDÉ g-FORMULA
- CHAPTER IV ATOMIC MAGNETISM; THE BOHR MAGNETON; THE STERN-GERLACH EXPERIMENT; MAGNETISM AND TEMPERATURE; THE MAGNETO-MECHANICAL EFFECT
- CHAPTER V INTERPRETATION OF THE g-FORMULA; THE PAULI VERBOT; THE SPINNING ELECTRON; SPIN DOUBLETS
- CHAPTER VI X-RAY SPECTRA AND THEIR MULTIPLET THEORY ON THE NEW MECHANICS; SCREENING AND SPIN DOUBLETS
- CHAPTER VII THE PASCHEN-BACK EFFECT AND THE SOMMERFELD FORMULA; LANDÉ'S FORMULA FOR THE MAGNITUDE OF THE ALKALI DOUBLETS; THE TRIPLETS OF THE ALKALINE EARTHS
- CHAPTER VIII THE NEW QUANTUM KINEMATICS OF HEISENBERG; MATRICES AND NON-COMMUTATIVE MULTIPLICATION
- CHAPTER IX THE THEORY OF DIRAC; USE OF POISSON BRACKETS; THE ENERGY LAW AND BOHR'S FREQUENCY CONDITION
- CHAPTER X THE HARMONIC OSCILLATOR
- CHAPTER XI THE CANONICAL TRANSFORMATION; PERTURBATION THEORY FOR NON-DEGENERATE AND DEGENERATE SYSTEMS
- CHAPTER XII THE ANHARMONIC OSCILLATOR; INTENSITIES OF SPECTRAL LINES; MATRICES AND QUADRATIC FORMS
- CHAPTER XIII ANGULAR MOMENTUM RELATIONS; SELECTION AND POLARISATION RULES
- CHAPTER XIV THE THEORY OF THE LANDÉ NUMBERS m, l, j
- CHAPTER XV INTENSITY FORMULAE FOR THE ZEEMAN EFFECT
- CHAPTER XVI THE DIRAC-PAULI CALCULATIONS FOR HYDROGEN; OPERATOR THEORIES; SCHRÖDINGER's THEORY
- CHAPTER XVII SCHRÖDINGER'S WAVE EQUATION; HIS THEORY OF THE HYDROGEN SPECTRUM
- CHAPTER XVIII WAVE MECHANICS
- CHAPTER XIX SCHRÖDINGER'S THEORY OF THE OSCILLATOR AND ROTATOR; WAVE PACKETS
- CHAPTER XX THE EVALUATION OF THE HEISENBERG MATRICES BY THE USE OF THE SCHRÖDINGER CALCULUS; DIRAC's EXTENSION OF HIS THEORY TO RELATIVISTIC MECHANICS
- CHAPTER XXI PERTURBATION THEORY IN WAVE MECHANICS; THE INTENSITIES IN THE STARK EFFECT
- CHAPTER XXII SCHRÖDINGER'S DISPERSION THEORY
- CHAPTER XXIII LIGHT QUANTA; DE BROGLIE WAVES; DIFFRACTION OF LIGHT QUANTA; THE COMPTON EFFECT
- CHAPTER XXIV THE THEORY OF THE ANOMALOUS ZEEMAN EFFECT ON THE NEW MECHANICS
- CHAPTER XXV THE CALCULATION OF THE ZEEMAN INTENSITIES FOR THE D-DOUBLET OF THE ALKALIS; DEDUCTION OF THE LANDÉ g AND γ FORMULAE; THE FINE STRUCTURE DUE TO RELATIVITY AND SPIN; THE RELATION OF THE SPINNING ELECTRON TO WAVE MECHANICS
- CHAPTER XXVI HEISENBERG'S RESONANCE THEORY OF THE ORTHO AND PARA HELIUM SPECTRA
- CHAPTER XXVII THE EFFECT OF THE SPIN OF THE ELECTRONS UPON THE HELIUM SPECTRUM; THE CALCULATIONS OF HEISENBERG FOR HELIUM; SYMMETRIC AND ANTISYMMETRIC EIGENFUNCTIONS
- CHAPTER XXVIII THE NEW STATISTICS OF GASES AND RADIATION; THE BOSE STATISTICS FOR LIGHT QUANTA; THE EINSTEIN THEORY OF AN IDEAL GAS
- CHAPTER XXIX THE FERMI-DIRAC THEORY OF AN IDEAL GAS; JORDAN'S FORMULAE FOR COLLISIONS OF LIGHT QUANTA, PROTONS AND ELECTRONS
- CHAPTER XXX DIRAC'S THEORY
- CHAPTER XXXI THE DIRAC MATRIX TRANSFORMATION THEORY; DEDUCTION OF SCHRÖDINGER'S WAVE EQUATION; GENERALISED FORM OF THE WAVE EQUATION; PHYSICAL INTERPRETATION OF q-NUMBERS; INTRODUCTION OF PROBABILITIES; APPLICATION TO COLLISION PROBLEMS
- CHAPTER XXXII THE ESSENTIAL INDEFINITENESS OF QUANTUM MECHANICS; HEISENBERG'S PHILOSOPHY AND BOHR'S DE BROGLIE WAVE THEORY OF THE PASSAGE FROM MICRO- TO MACRO-MECHANICS; THE SPREADING FACTOR; BOHR'S SUMMARY OF THE PRESENT STATE OF THE QUANTUM THEORY
- INDEX OF AUTHORS
Summary
X-ray spectra and the spinning electron.
The theory of the spinning electron has led to a new insight into the meaning of the multiple structure of X-ray spectra and has cleared up the theoretical difficulties which were met with in the attempts to account for the so-called screening and relativity doublets of these spectra by relativity considerations alone; it promises also to throw light on the so-called‘ branching’ of spectra, which usually accompanies the addition of a further electron to an atom and of which so far no satisfactory explanation has been given.
X-ray spectra (Kossel's theory).
The electrons revolving round the nucleus form the K, L, M,…. shells reckoning outwards from the nucleus, the corresponding principal quantum numbers being n = 1, 2, 3,…
A K line of the X-ray spectrum is produced by the ejection of a K electron from the atom and its replacement by an electron from one of the outer shells L, M, …, which transition causes the radiation; an L line is due to the ejection of an L electron and its replacement by an electron from one of the outer shells M, N, …; and so on. The K lines tend to a limit corresponding to the fall of an electron from the edge of the atom to a K level. This limit is found by observation of the ‘absorption edge’ of the K lines, and if v is the frequency corresponding to this ‘edge,’ hv is the energy ‘term’ of the K group.
- Type
- Chapter
- Information
- The New Quantum Mechanics , pp. 42 - 53Publisher: Cambridge University PressPrint publication year: 2009First published in: 1928