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

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1,1-difluoroethylene A2X2 system ABX spectrum analysis antisymmetric applied field AX system axis Chem chemical shift chemical-shift combination transitions compute correspond coupling constants cycles per second determinant energy levels equal Equation equivalent nuclei ethyl Exercise 3-3 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 Resonance Absorption magnetic vectors molecules normalized Nuclear Magnetic Resonance nuclear resonance spectrum observed Organic Chemistry orthogonal oscillator pairs peak Phys possible precession proton spectrum quantitative treatment Quantum Mechanical Treatment quantum number ratio relative signs resonance lines resonance-line result shown in Figure shown in Table signs of Jax spec spin wave spin wave function spin-spin interaction spin-spin splitting symmetric tetramethylsilane tions transition energies transition probabilities Treatment of Spin-Spin triplet trum values wave functions zero