## High resolution nuclear magnetic resonance spectroscopy. 2 |

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Page 71

3.5.2 Average Energy Approximations It is still not possible in general to calculate

shielding coefficients from equation (3.29) since the second term requires a

knowledge of the excited state

by ...

3.5.2 Average Energy Approximations It is still not possible in general to calculate

shielding coefficients from equation (3.29) since the second term requires a

knowledge of the excited state

**wavefunctions**. The calculation may be simplifiedby ...

Page 75

This is strictly true only when a complete set of excited state

used, or if the

invariance of a under a gauge transformation in an attempt to calculate the

shielding ...

This is strictly true only when a complete set of excited state

**wavefunctions**isused, or if the

**wavefunctions**are gauge invariant'30'. Ramsey" 9) has used theinvariance of a under a gauge transformation in an attempt to calculate the

shielding ...

Page 359

... the remaining 2x2 matrices can be readily obtained by solving the appropriate

quadratic equation; the energy levels and the mixed

be : The four non-mixing basic product functions (that is,

...

... the remaining 2x2 matrices can be readily obtained by solving the appropriate

quadratic equation; the energy levels and the mixed

**wavefunctions**are found tobe : The four non-mixing basic product functions (that is,

**wavefunctions**) and their...

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### Contents

Introduction | 1 |

J Chem Phys 3 4 3 5 3 6 4 2 4 3 5 2 6 14 7 1 7 2 7 7 8 3 8 19 8 22 8 26 8 | 3 |

General Theory of Nuclear Magnetic Resonance | 10 |

Copyright | |

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AA'BB absorption bands applied atomic orbitals benzene calculated carbon Chem chemical shift chemical shift difference components compounds coupling constants cycles sec-1 diamagnetic dipole effect eigenfunctions eigenvalues electron energy levels exchange experimental fluorine given gives Gutowsky H resonance Hamiltonian hence hydrogen atoms hydrogen bonding hydrogen nuclei hydrogen resonance interaction line width linear liquid magnetic field magnetic nuclei magnetically equivalent magnitude matrix elements Mc sec-1 measured methane method methyl molecular orbital molecule multiplet non-equivalent nuclear magnetic resonance observed obtained oscillator paramagnetic parameters Phys Pople radiofrequency radiofrequency field receiver coil reference relative intensities relative signs relaxation resonance spectrum ring current rotation sample sec1 Section secular equation shielding coefficient shielding constant shown in Fig sideband signal solution solvent spectra spectrometer spin functions spin system spin-lattice relaxation substituted susceptibility symmetry Table temperature tion transition energies valence bond values vector wavefunctions zero