## An introduction to the analysis of spin-spin splitting in high-resolution nuclear magnetic resonance spectra |

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### Contents

INTRODUCTION NUCLEAR MAGNETIC RESONANCE ARSORPTION | 1 |

QUANTUM MECHANICAL TREATMENT OF SPINSPIN | 25 |

THREESPIN SYSTEMS | 61 |

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### Common terms and phrases

1,1-difluoroethylene A2X2 system ABX spectrum analysis antisymmetric applied field AX system axis changes Chem chemical shift chemical-shift combination transitions compute consider correspond coupling constants cycles per second discussed energy levels Equation equivalent nuclei ethyl Evaluate Exercise 3-8 expected fluorine Fluoroform forbidden Four-Spin System frequency give index numbers J. D. Roberts J'ax Jax and Jbx line positions magnetic field magnetic moments magnetic quantum Magnetic Resonance Absorption magnetic vectors molecules normalized Nuclear Magnetic Resonance nuclear resonance spectrum observed obtained Organic Chemistry orthogonal pairs peak Phys Pople possible precession proton spectrum Quantum Mechanical Treatment quantum number ratio relative signs resonance lines resonance-line result shown in Figure shown in Table signs of Jax spec spin quantum spin wave function spin-spin interaction spin-spin splitting symmetric tetramethylsilane theoretical Three-Spin Systems tions transition energies transition probabilities Treatment of Spin-Spin triplet trum values